03047nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700200030001110200025001410280015001660350025001810350022002060400040002280500023002680820012002911000042003032450090003452500030004352640150004653000029006153360021006443370026006653380032006914900042007235000056007655040051008215050415008725060072012875200575013595300037019345380036019715380047020075880054020546500041021086530015021496530016021646530023021806530027022036550022022307000028022527100064022807760053023448300043023978560065024409781611975208SIAM20171207190106.0m o d cr |||||||||||171129r20171980pau ob 001 0 eng d a9781611975208qelectronic z9781611975192qprint51aCL78bSIAM a(CaBNVSL)thg00975249 a(OCoLC)1014026174 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA297b.C65 2017eb04a5182231 aConte, Samuel Daniel,d1917-eauthor.10aElementary numerical analysis :ban algorithmic approach /cS.D. Conte, Carl de Boor. a3d ed., classics edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xxiv, 456 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aClassics in applied mathematics ;v78 aOriginally published: New York : McGraw-Hill, 1980. aIncludes bibliographical references and index.0 a1. Number systems and errors -- 2. Interpolation by polynomial -- 3. The solution of nonlinear equations -- 4. Matrices and systems of linear equations -- 5. Systems of equations and unconstrained optimization -- 6. Approximation -- 7. Differentiation and integration -- 8. The solution of differential equations -- 9. Boundary value problems -- Appendix. Subroutine libraries -- Appendix. New MATLAB programs. aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The intended audience is upper-division undergraduates in engineering, mathematics, and the sciences, including computer science. The book has served well as a text book. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aNumerical analysisxData processing. aElementary aAlgorithmic aNumerical analysis aScientific computation 0aElectronic books.1 aDe Boor, Carl,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017054375z9781611975192 0aClassics in applied mathematics ;v78.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197520804213nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350022002230400040002450500028002850820016003131000032003292450125003612640150004863000028006363360021006643370026006853380032007114900055007435040051007985050547008495060072013965201607014685300037030755380036031125380047031485880054031956500032032496530022032816530021033036530023033246530021033476530035033686530021034036550022034247100064034467760053035108300043035638560065036069781611975109SIAM20171207190106.0m o d cr |||||||||||171129s2017 pau ob 001 0 eng d a 2017055889 a9781611975109qelectronic z9781611975093qprint51aCS18bSIAM a(CaBNVSL)thg00975248 a(OCoLC)1012672975 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC793.3.C58bH47 2017eb04a518/.642231 aHesthaven, Jan S.,eauthor.10aNumerical methods for conservation laws :bfrom analysis to algorithms /cJan S. Hesthaven, EPFL, Lausanne, Switzerland. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xvi, 570 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aComputational science and engineering series ;v18 aIncludes bibliographical references and index.0 a1. Introduction -- part I. Conservation laws -- 2. Scalar conservation laws -- 3. Systems of conservation laws -- part II. Monotone schemes -- 4. From continuous to discrete -- 5. Finite difference methods -- 6. Finite volume methods -- 7. Beyond one dimension -- part III. High-order schemes -- 8. High-order accuracy and its challenges -- 9. Strong stability preserving time integration -- 10. High-order accurate limiter-based methods -- 11. Essentially nonoscillatory schemes -- 12. Discontinuous Galerkin methods -- 13. Spectral methods. aRestricted to subscribers or individual electronic text purchasers.3 aConservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development; discusses classic results on monotone and finite difference/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws; addresses modern concepts of TVD and entropy stability, strongly stable Runge-Kutta schemes, and limiter-based methods before discussing essentially nonoscillatory schemes, discontinuous Galerkin methods, and spectral methods; explores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods; includes MATLAB software with which all main methods and computational results in the book can be reproduced; and demonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons. Code and other supplemental material will be available online at publication. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aConservation laws (Physics) aConservation laws aMonotone schemes aHigh-order methods aWENO/ENO methods aDiscontinuous Galerkin methids aSpectral methods 0aElectronic books.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017042103z9781611975093 0aComputational science and engineering.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197510903825nam 2200577 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280016001830350025001990350022002240400040002460500023002860820016003091000044003252450099003692640150004683000026006183360021006443370026006653380032006914900047007235040051007705050332008215060072011535201376012255300037026015380036026385380047026745880054027216500015027756500024027906500024028146530021028386530015028596530024028746530021028986530027029196550022029467000030029687000026029987100064030247760053030888300041031418560065031829781611975123SIAM20171207190106.0m o d cr |||||||||||171129s2017 pau ob 001 0 eng d a 2017056799 a9781611975123qelectronic z9781611975116qprint51aOT155bSIAM a(CaBNVSL)thg00975247 a(OCoLC)1013497641 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA308b.D43 2017eb04a515/.432231 aDea{tilde}no Gamallo, Alfredo,eauthor.10aComputing highly oscillatory integrals /cAlfredo Dea{tilde}no, Daan Huybrechs, Arieh Iserles. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (x, 180 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics ;v155 aIncludes bibliographical references and index.0 a1. Introduction -- 2. Asymptotic theory of highly oscillatory integrals -- 3. Filon and Levin methods -- 4. Extended Filon method -- 5. Numerical steepest descent -- 6. Complex-valued Gaussian quadrature -- 7. A highly oscillatory olympics -- 8. Variations on the highly oscillatory theme -- Appendix A. Orthogonal polynomials. aRestricted to subscribers or individual electronic text purchasers.3 aHighly oscillatory phenomena range across numerous areas in science and engineering and their computation represents a difficult challenge. A case in point is integrals of rapidly oscillating functions in one or more variables. The quadrature of such integrals has been historically considered very demanding. Research in the past 15 years (in which the authors played a major role) resulted in a range of very effective and affordable algorithms for highly oscillatory quadrature. This is the only monograph bringing together the new body of ideas in this area in its entirety. The starting point is that approximations need to be analyzed using asymptotic methods rather than by more standard polynomial expansions. As often happens in computational mathematics, once a phenomenon is understood from a mathematical standpoint, effective algorithms follow. As reviewed in this monograph, we now have at our disposal a number of very effective quadrature methods for highly oscillatory integrals--Filon-type and Levin-type methods, methods based on steepest descent, and complex-valued Gaussian quadrature. Their understanding calls for a fairly varied mathematical toolbox--from classical numerical analysis, approximation theory, and theory of orthogonal polynomials all the way to asymptotic analysis--yet this understanding is the cornerstone of efficient algorithms. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aIntegrals. 0aCalculus, Integral. 0aBifurcation theory. aHigh oscillation aQuadrature aAsymptotic analysis aSteepest descent aOrthogonal polynomials 0aElectronic books.1 aHuybrechs, Daan,eauthor.1 aIserles, A.,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017042104z9781611975116 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197512303797nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350022002230400040002450500028002850820014003131000025003272450121003522640150004733000026006233360021006493370026006703380032006964900042007285040051007705050644008215060072014655201133015375300037026705380036027075380047027435880054027906500031028446500017028756530027028926530020029196530024029396530026029636530025029896550022030147100064030367760053031008300037031538560065031909781611974997SIAM20171004190106.0m o d cr |||||||||||170908s2017 pau ob 001 0 eng d a 2017042114 a9781611974997qelectronic z9781611974980qprint51aMO25bSIAM a(CaBNVSL)thg00974834 a(OCoLC)1003132278 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.5b.B42238 2017eb04a519.62231 aBeck, Amir,eauthor.10aFirst-order methods in optimization /cAmir Beck, Technion-Israel Institute for Technology, Technion, Haifa, Israel. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (x, 484 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization ;v25 aIncludes bibliographical references and index.0 aPreface -- 1. Vector spaces -- 2. Extended real-value functions -- 3. Subgradients -- 4. Conjugate functions -- 5. Smoothness and strong convexity -- 6. The proximal operator -- 7. Spectral functions -- 8. Primal and dual projected subgradient methods -- 9. Mirror descent -- 10. The proximal gradient method -- 11. The block proximal gradient method -- 12. Dual-based proximal gradient methods -- 13. The generalized conditional gradient method -- 14. Alternating minimization -- 15. ADMM -- Appendix A. Strong duality and optimality conditions -- Appendix B. Tables -- Appendix C. Symbols and notation -- Appendix D. Bibliographic notes. aRestricted to subscribers or individual electronic text purchasers.3 aThe primary goal of this book is to provide a self-contained, comprehensive study of the main first-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aMathematical optimization. 0aConvergence. aNonlinear optimization aConvex analysis aFirst order methods aDecomposition methods aScientific computing 0aElectronic books.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017026859z9781611974980 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197499704763nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500024002840820016003081000026003242450122003502640150004723000028006223360021006503370026006713380032006974900048007295040051007775051450008285060072022785201243023505300037035935380036036305380047036665880054037136500021037676500019037886530029038076530033038366530028038696530046038976530031039436550022039747100064039967760053040608300043041138560065041569781611974966SIAM20171004190106.0m o d cr |||||||||||170908s2017 pau ob 001 0 eng d a 2017031009 a9781611974966qelectronic z9781611974959qprint51aCS17bSIAM a(CaBNVSL)thg00974832 a(OCoLC)992437999 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA433b.S525 2017eb04a515/.632231 aSidi, Avram,eauthor.10aVector extrapolation methods with applications /cAvram Sidi, Technion-Israel Institute of Technology, Haifa, Israel. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xiv, 433 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aComputational science and engineering ;v17 aIncludes bibliographical references and index.0 aPreface -- 0. Introduction and review of linear algebra -- part I. Vector extrapolation methods -- 1. Development of polynomial extrapolation methods -- 2. Unified algorithms for MPE and RRE -- 3. MPE and RRE are related -- 4. Algorithms for MMPE and SVD-MPE -- 5. Epsilon algorithms -- 6. Convergence study of extrapolation methods : part I -- 7. Convergence study of extrapolation methods : part II -- 8. Recursion relations for vector extrapolation methods -- part II. Krylov sybspace methods -- 9. Krylov subspace methods for linear systems -- 10. Krylov subspace methods for eigenvalue problems -- part III. Applications and generalizations -- 11. Miscellaneous applications of vector extrapolation methods -- 12. Rational approximations from vector-valued power series : part I -- 13. Rational approximations from vector-valued power series : part II -- 14. Applications of SMPE, SMMPE, and STEA -- 15. Vector generalizations of scalar extrapolation methods -- 16. Vector-valued rational interpolation methods -- part IV. Appendices -- Appendix A. QR factorization -- Appendix B. singular value decompositions (SVD) -- Appendix C. Moore-Penrose generalized inverse -- Appendix D. Basics of orthogonal polynomails -- Appendix E. Chebyshev polynomials : basic properties -- Appendix F. Useful formulas and results for Jacobi polynomials -- Appendix G. Rayleigh quotient and power method -- Appendix H. Unified FORTRAN77 code for MPE and RRE. aRestricted to subscribers or individual electronic text purchasers.3 aAn important problem that arises in different disciplines of science and engineering is that of computing limits of sequences of vectors of very large dimension. Such sequences arise, for example, in the numerical solution of systems of linear and nonlinear equations by fixed-point iterative methods, and their limits are simply the required solutions to these systems. The convergence of these sequences, which is very slow in many cases, can be accelerated successfully by using suitable vector extrapolation methods. Vector Extrapolation Methods with Applications is the first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications. It also provides complete proofs in most places. As an interesting application, the author shows how these methods give rise to rational approximation procedures for vector-valued functions in the complex plane, a subject of importance in model reduction problems among others. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aVector analysis. 0aExtrapolation. aConvergence acceleration aVector extrapolation methods aKrylov subspace methods aLarge sparse linear and nonlinear systems aVector iterative processes 0aElectronic books.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017026889z9781611974959 0aComputational science and engineering.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197496603772nam 2200505 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280016001830350025001990350021002240400040002450500025002850820017003101000028003272450133003552640150004883000029006383360021006673370026006883380032007144900040007465040051007865050920008375060072017575200922018295300037027515380036027885380047028246500046028716530023029176530027029406530022029676530026029896530028030157100064030437760053031078300041031608560065032019781611974942SIAM20170619190106.0m eo d cr bn |||m|||a170616s2017 pau ob 001 0 eng d a 2017022863 a9781611974942qelectronic z9781611974935qprint50aOT153bSIAM a(CaBNVSL)thg00974395 a(OCoLC)990267360 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA378.5b.H36 2017eb04a515/.3572231 aHanke, Martin,eauthor.12aA taste of inverse problems :bbasic theory and examples /cMartin Hanke, Johannes Gutenberg-Universitat Mainz, Mainz, Germany. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (viii, 162 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- 1. Amuse-Gueule : numerical differentiation -- part I. Ill-posed problems -- 2. Compact operator equations -- 3. The Hausdorff-Tikhonov lemma -- 4. Computerized x-ray tomography -- 5. The Cauchy problem for the Laplace equation -- 6. The factorization method in EIT -- part II. Tikhonov regularization -- 7. Tikhonov's method -- 8. The discrepancy principle -- 9. Smoothing splines -- 10. Deconvolution and imaging -- 11. Evaluation of unbounded operators -- part III. Iterative regularization -- 12. Landweber iteration -- 13. The discrepancy principle -- 14 iterative solution of the Cauchy problem -- 15. The conjugate gradient method -- 16. The Gerchberg-Papoulis algorithm -- 17. Inverse source problems -- Appendices. A. The singular value decomposition -- B. Sobolev spaces -- C. The Poisson equation -- D. Sobolev spaces (cont.) -- E. The Fourier transform -- F. The conjugate gradient iteration. aRestricted to subscribers or individual electronic text purchasers.3 aInverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data. This book presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this material has previously appeared only in journal articles. A Taste of Inverse Problems: Basic Theory and Examples rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations;presents diverse real-world applications, important test cases, and possible pitfalls; and treats these applications with the same rigor and depth as the theory. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. 0aInverse problems (Differential equations) aIll-posed problems aRegularization methods aIterative methods aDiscrepancy principle aInverse source problems2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017018206z9781611974935 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197494202843nam 2200493 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500027002840820022003111000031003332450131003642640150004953000026006453360021006713370026006923380032007184900038007505040051007885050415008395060072012545200508013265300037018345380036018715380047019076300012019546500072019666530027020386530025020656530042020907100064021327760053021968300035022498560065022849781611974300SIAM20170619190106.0m eo d cr bn |||m|||a170616s2016 pau ob 001 0 eng d a 2016005423 a9781611974300qelectronic z9781611974294qprint50aSE26bSIAM a(CaBNVSL)thg00974394 a(OCoLC)990267387 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA404.5b.G3564 2016eb04a515/.550285532231 aGautschi, Walter,eauthor.10aOrthogonal polynomials in MATLAB :bexercises and solutions /cWalter Gautschi, University of Purdue, West Lafayette, Indiana. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (x, 337 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aSoftware, environments, and tools aIncludes bibliographical references and index.0 aPreface -- 1. A guide to the software packages OPQ and SOPQ -- 2. Answers to exercises on orthogonal polynomials -- 3. Answers to exercises on Sobolev orthogonal polynomials -- 4. Answers to exercises on quadrature -- 5. Answers to exercises on approximation -- A. The software package OPQ (Orthogonal Polynomials and Quadrature) -- B The software package SOPQ (Symbolic Orthogonal Polynomials and Quadrature). aRestricted to subscribers or individual electronic text purchasers.3 aTechniques for generating orthogonal polynomials numerically have appeared only recently, within the last 30 or so years. Orthogonal Polynomials in MATLAB: Exercises and Solutions describes these techniques and related applications, all supported by MATLAB programs, and presents them in a unique format of exercises and solutions designed by the author to stimulate participation. Important computational problems in the physical sciences are included as models for readers to solve their own problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader.00aMATLAB. 0aOrthogonal polynomialsvProblems, exercises, etc.xData processing. aOrthogonal polynomials aNumerical quadrature aMATLAB software, exercises, solutions2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016000510z9781611974294 0aSoftware, environments, tools.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197430003960nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500025002840820017003091000028003262450150003542640150005043000026006543360021006803370026007013380032007274900028007595040051007875050320008385060072011585201594012305300037028245380036028615380047028975880054029446500046029986500026030446530021030706530028030916530018031196530031031376530023031687100064031917760053032558300057033088560065033659781611974928SIAM20170619190106.0m eo d cr bn |||m|||a170616s2017 pau ob 001 0 eng d a 2017016391 a9781611974928qelectronic z9781611974911qprint50aMN03bSIAM a(CaBNVSL)thg00974393 a(OCoLC)990266006 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA378.5b.T46 2017eb04a515/.3572231 aTenorio, Luis,eauthor.13aAn introduction to data analysis and uncertainty quantification for inverse problems /cLuis Tenorio, Colorado School of Mines, Golden, Colorado. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (x, 269 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematics in industry aIncludes bibliographical references and index.0 aPreface -- 1. An introduction to inverse problems -- 2. A primer on statistical methods -- 3. Applications to inverse problems I -- 4. Applications to inverse problems II -- 5. A nonlinear parameter estimation problem -- Appendix A. Some results from analysis -- Appendix B. Conditional probability and expectation. aRestricted to subscribers or individual electronic text purchasers.3 aInverse problems are found in many applications, such as medical imaging, engineering, astronomy, and geophysics, among others. To solve an inverse problem is to recover an object from noisy, usually indirect observations. Solutions to inverse problems are subject to many potential sources of error introduced by approximate mathematical models, regularization methods, numerical approximations for efficient computations, noisy data, and limitations in the number of observations; thus it is important to include an assessment of the uncertainties as part of the solution. Such assessment is interdisciplinary by nature, as it requires, in addition to knowledge of the particular application, methods from applied mathematics, probability, and statistics. This book bridges applied mathematics and statistics by providing a basic introduction to probability and statistics for uncertainty quantification in the context of inverse problems, as well as an introduction to statistical regularization of inverse problems. The author covers basic statistical inference, introduces the framework of ill-posed inverse problems, and explains statistical questions that arise in their applications. An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems includes many examples that explain techniques which are useful to address general problems arising in uncertainty quantification,Bayesian and non-Bayesian statistical methods and discussions of their complementary roles, and analysis of a real data set to illustrate the methodology covered throughout the book. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aInverse problems (Differential equations) 0aParameter estimation. aInverse problems aTikhonov regularization aData analysis aUncertainty quantification aBayesian inversion2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017012790z9781611974911 0aMathematics in industry (Philadelphia, Pennsylvania)403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197492804126nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200027001580200025001850280015002100350025002250350021002500400032002710500025003030820014003282450295003422640150006373000030007873360021008173370026008383380032008644900036008965040051009325050431009835060072014145201378014865300037028645380036029015380047029375880054029846500031030386530046030696530039031156530034031546530024031886530038032127000036032507000031032867000036033177100064033537760053034178300037034708560065035079781611974683SIAM20170530090848.0m eo d cr bn||||m|||a170530s2017 pau ob 001 0 eng d a 2016053308 a9781611974683qelectronic a1611974682qelectronic z9781611974676qprint50aMO24bSIAM a(CaBNVSL)thg00974353 a(OCoLC)988326165 aCaBNVSLbengerdacJ2IdJ2I 4aQA402.5b.A36 2017eb04a519.622300aAdvances and trends in optimization with engineering applications /cTam{acute}as Terlaky, Lehigh University, Bethlehem, Pennsylvania, Miguel F. Anjos, Polytechnique Montr{acute}eal, Montr{acute}eal, Quebec, Canada, Shabbir Ahmed, Georgia Institute of Technology, Atlanta, Georgia, editors. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xxxiv, 678 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 aForeword -- Preface -- I. Linear and quadratic optimization -- II. Mixed-integer linear optimization -- III. Conic linear optimization -- IV. Global optimization -- V. Nonlinear optimization -- VI. Mixed-integer nonlinear optimization -- VII. Robust optimization -- VIII. Stochastic optimization -- IX. Inventory and supply chain optimization -- X. Methodologies and applications in black-box and derivative-free optimization. aRestricted to subscribers or individual electronic text purchasers.3 aOptimization is of critical importance in engineering. Engineers constantly strive for the best possible solutions, the most economical use of limited resources, and the greatest efficiency. As system complexity increases, these goals mandate the use of state-of-the-art optimization techniques. In recent years, the theory and methodology of optimization have seen revolutionary improvements. Moreover, the exponential growth in computational power, along with the availability of multicore computing with virtually unlimited memory and storage capacity, has fundamentally changed what engineers can do to optimize their designs. This is a two-way process: engineers benefit from developments in optimization methodology, and challenging new classes of optimization problems arise from novel engineering applications. Advances and Trends in Optimization with Engineering Applications reviews 10 major areas of optimization and related engineering applications, providing a broad summary of state-of-the-art optimization techniques most important to engineering practice. Each part provides a clear overview of a specific area and discusses a range of real-world problems. The book provides a solid foundation for engineers and mathematical optimizers alike who want to understand the importance of optimization methods to engineering and the capabilities of these methods. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aMathematical optimization. aLinear, nonlinear, and conic optimization aRobust and stochastic optimization aDerivative-free methodologies aSupply chain design aDeterministic global optimization1 aTerlaky, Tam{acute}as,eeditor.1 aAnjos, Miguel F.,eeditor.1 aAhmed, Shabbir,d1969-eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016052905z9781611974676 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197468304092nam 2200577 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200027001580200025001850280015002100350025002250350021002500400032002710500026003030820016003291000028003452450086003732500020004592640150004793000028006293360021006573370026006783380032007044900028007365040051007645050551008155060072013665201449014385300037028875380036029245380047029605880054030076500028030616530019030896530020031086530018031286530023031466530026031696530024031957000033032197000032032527100064032847760053033488300048034018560065034499781611974560SIAM20170530090848.0m eo d cr bn||||m|||a170530s2017 pau ob 001 0 eng d a 2017005336 a9781611974560qelectronic a1611974569qelectronic z9781611974553qprint50aMN02bSIAM a(CaBNVSL)thg00974227 a(OCoLC)988326060 aCaBNVSLbengerdacJ2IdJ2I 4aHG3751.5b.T47 2017eb04a658.8/82231 aThomas, L. C.,eauthor.10aCredit scoring and its applications /cLyn Thomas, Jonathan Crook, David Edelman. aSecond edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xiv, 368 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematics in industry aIncludes bibliographical references and index.0 aPreface -- 1. The history and philosophy of credit scoring -- 2. The practice of credit scoring -- 3. Common methods for building scorecards -- 4. Alternative methods of building scorecards -- 5. Survival methods -- 6. Managing the data in scorecard development -- 7. Behavioral scoring -- 8. Measuring scorecard performance -- 9. Implementation and areas of application -- 10. Economic issues -- 11. Capital requirements and the Basel Accords -- 12. Securitization and the subprime mortgage crisis -- 13. Variable pricing and risk-based pricing. aRestricted to subscribers or individual electronic text purchasers.3 aCredit Scoring and Its Applications is recognized as the bible of credit scoring. It contains a comprehensive review of the objectives, methods, and practical implementation of credit and behavioral scoring. The authors review principles of the statistical and operations research methods used in building scorecards, as well as the advantages and disadvantages of each approach. The book contains a description of practical problems encountered in building, using, and monitoring scorecards and examines some of the country-specific issues in bankruptcy, equal opportunities, and privacy legislation. It contains a discussion of economic theories of consumers' use of credit, and readers will gain an understanding of what lending institutions seek to achieve by using credit scoring and the changes in their objectives. New to the second edition are lessons that can be learned for operations research model building from the global financial crisis, current applications of scoring, discussions on the Basel Accords and their requirements for scoring, new methods for scorecard building and new expanded sections on ways of measuring scorecard performance, and survival analysis for credit scoring. Other unique features include methods of monitoring scorecards and deciding when to update them, as well as different applications of scoring, including direct marketing, profit scoring, tax inspection, prisoner release, and payment of fines. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aCredit scoring systems. aCredit scoring aMortgage crisis aBasel Accords aScorecard building aScorecard performance aOperations research1 aCrook, Jonathan N.,eauthor.1 aEdelman, David B.,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016051881z9781611974553 0aMathematics in industry (Philadelphia, Pa.)403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197456003731nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400032002440500028002760820019003041000034003232450291003572640150006483000026007983360021008243370026008453380032008714900042009035040051009455050260009965060072012565201169013285300037024975380036025345380047025705880054026176500021026716500020026926500031027126530022027436530020027656530026027856530024028116530027028357000041028627000037029037100064029407760053030048300043030578560065031009781611974843SIAM20170530190106.0m eo d cr bn |||m|||a170530s2017 pau ob 001 0 eng d a 2017014385 a9781611974843qelectronic z9781611974836qprint50aCS16bSIAM a(CaBNVSL)thg00974226 a(OCoLC)988325943 aCaBNVSLbengerdacJ2IdJ2I 4aTK7874.885b.B67 2017eb04a530.1201/12231 aBorz{grave}i, Alfio,eauthor.10aFormulation and numerical solution of quantum control problems /cA. Borz{grave}i, Universit{uml}at W{uml}urzburg, W{uml}urzburg, Germany, G. Ciaramella, Universit{acute}e de Gen{grave}eve, Gen{grave}eve, Switzerland, M. Sprengel, Universit{uml}at W{uml}urzburg, W{uml}urzburg, Germany. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (x, 390 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aComputational science and engineering aIncludes bibliographical references and index.0 aIntroduction -- Quantum mechanics and the Schr{uml}odinger equation -- Optimal control theory for quantum systems -- Controllability of quantum systems -- Discretization schemes -- Numerical optimization methods -- Application to quantum control problems. aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr{uml}odinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose-Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aQuantum systems. 0aControl theory. 0aSchr{uml}odinger equation. aQuantum mechanics aOptimal control aExact controllability aDifferential models aNumerical optimization1 aCiaramella, G.q(Gabriele),eauthor.1 aSprengel, M.q(Martin),eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017012788z9781611974836 0aComputational science and engineering.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197484303560nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500027002840820018003111000039003292450126003682640150004943000029006443360021006733370026006943380032007204900041007525040051007935050234008445060072010785201270011505300037024205380036024575380047024935880054025406500031025946500030026256500031026556530022026866530021027086530024027296530014027536530025027677100064027927760053028568300044029098560065029539781611974867SIAM20170429190106.0m eo d cr bn |||m|||a170424s2017 pau ob 001 0 eng d a 2017016390 a9781611974867qelectronic z9781611974850qprint50aDC31bSIAM a(CaBNVSL)thg00974201 a(OCoLC)981761761 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.3b.K4287 2017eb04a629.8/3142231 aKhalil, Hassan K.,d1950-eauthor.10aHigh-gain observers in nonlinear feedback control /cHassan K. Khalil, Michigan State University, East Lansing, Michigan. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (viii, 324 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aAdvances in design and control ;v31 aIncludes bibliographical references and index.0 aPreface -- 1. Introduction -- 2. High-gain observers -- 3. Stabilization and tracking -- 4. Adaptive control -- 5. Regulation -- 6. Extended observer -- 7. Low-power observers -- 8. Measurement noise -- 9. Digital implementation. aRestricted to subscribers or individual electronic text purchasers.3 aor over a quarter of a century, high-gain observers have been used extensively in the design of output feedback control of nonlinear systems. This book presents a clear, unified treatment of the theory of high-gain observers and their use in feedback control. Also provided is a discussion of the separation principle for nonlinear systems; this differs from other separation results in the literature in that recovery of stability as well as performance of state feedback controllers is given. The author provides a detailed discussion of applications of high-gain observers to adaptive control and regulation problems and recent results on the extended high-gain observers. In addition, the author addresses two challenges that face the implementation of high-gain observers: high dimension and measurement noise. Low-power observers are presented for high-dimensional systems. The effect of measurement noise is characterized and techniques to reduce that effect are presented. The book ends with discussion of digital implementation of the observers. Readers will find comprehensive coverage of the main results on high-gain observers; rigorous, self-contained proofs of all results; and numerous examples that illustrate and provide motivation for the results. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aObservers (Control theory) 0aFeedback control systems. 0aStochastic control theory. aNonlinear control aFeedback control aHigh-gain observers aObservers aNonlinear estimation2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017012787z9781611974850 0aAdvances in design and control ;vDC31.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197486704136nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500025002840820016003092450377003252640150007023000028008523360021008803370026009013380032009274900048009595040051010075050571010585060072016295201146017015300037028475380036028845380047029205880054029676500025030216500031030466500030030776530035031076530036031426530025031786530019032037000028032227000035032507000031032857000029033167100064033457760053034098300043034628560065035059781611974829SIAM20170429190106.0m eo d cr bn |||m|||a170424s2017 pau ob 001 0 eng d a 2017016389 a9781611974829qelectronic z9781611974812qprint50aCS15bSIAM a(CaBNVSL)thg00974200 a(OCoLC)981761760 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA401b.M3979 2017eb04a511.3/422300aModel reduction and approximation :btheory and algorithms /cedited by Peter Benner, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany, Albert Cohen, Universite Pierre at Marie Curie, Paris, France, Mario Ohlberger, Universitat Munster, Munster, Germany, Karen Willcox, Massachusetts Institute of Technology, Cambridge, Massachusetts. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xii, 412 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aComputational science and engineering ;v15 aIncludes bibliographical references and index.0 aPreface -- part I. Sampling-based methods -- 1. Pod for linear-quadratic optimal control -- 2. A tutorial on RB-methods -- 3. The theoretical foundation of reduced basis methods -- part II. Tensor-based methods -- 4. Low-rank methods for high-dimensional approximation -- 5. Model reduction for high-dimensional parametric problems by tensor techniques -- part III. System-theoretic methods -- 6. Model order reduction based on systems building -- 7. Interpolatory model reduction -- 8. The loewner framework for model reduction -- 9. Comparison of methods for PMOR. aRestricted to subscribers or individual electronic text purchasers.3 aMany physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework; is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods; and covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic). aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aMathematical models. 0aMathematical optimization. 0aComputational complexity. aModel reduction, approximation aProper orthogonal decomposition aReduced basis method aTensor methods1 aBenner, Peter,eeditor.1 aCohen, Albert,d1965-eeditor.1 aOhlberger, Mario,eeditor.1 aWillcox, Karen,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017012782z9781611974812 0aComputational science and engineering.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197482902702nam 2200505 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500024002840820016003081000045003242450102003692640150004713000025006213360021006463370026006673380032006934900069007255040051007945050243008455060072010885200503011605300037016635380036017005380047017365880054017836500040018376530026018776530016019036530013019196530012019327100064019447760053020088300070020618560065021319781611974805SIAM20170429190106.0m eo d cr bn |||m|||a170424s2017 pau ob 001 0 eng d a 2017004721 a9781611974805qelectronic z9781611974799qprint50aCB90bSIAM a(CaBNVSL)thg00974199 a(OCoLC)971248767 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA911b.C648 2017eb04a532/.052231 aConstantin, P.q(Peter),d1951-eauthor.10aAnalysis of hydrodynamic models /cPeter Constantin, Princeton University, Princeton, New Jersey. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (x, 63 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aCBMS-NSF regional conference series in applied mathematics ;v90 aIncludes bibliographical references and index.0 aPreface -- 1. Introduction -- 2. Lagrangian and Eulerian descriptions of hydrodynamic systems -- 3. Hydrodynamic models -- 4. Spaces and operators -- 5. The Lagrangian-Eulerian existence theorems -- 6. Critical dissipative active scalars. aRestricted to subscribers or individual electronic text purchasers.3 aAnalysis of Hydrodynamic Models presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author's approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions. This concise, unified approach brings readers up to date on current open problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aHydrodynamicsxMathematical models. aHydrodynamics, models aLangrangian aEulerian aScalars2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2017004002z9781611974799 0aCBMS-NSF regional conference series in applied mathematics ;v90.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197480503371nam 2200589 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500026002840820016003101000035003262450169003612460143005302640150006733000057008233360021008803370026009013380032009274900032009595040069009915050254010605060072013145200699013865300037020855380036021225380047021585880054022056500039022596500031022986500026023296530024023556530026023796530020024056530024024256530031024496530027024806530021025076530038025287100064025667760053026308300033026838560065027169781611974249SIAM20170330150055.0m eo d cr bn |||m|||a170330s2016 paua ob 001 0 eng d z 2015038344 a9781611974249qelectronic z9781611974232qprint50aFM01bSIAM a(CaBNVSL)thg00972880 a(OCoLC)980319231 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA274.23b.C27 2016eb04a519.2/72231 aCarmona, R.q(Rene),eauthor.10aLectures on BSDEs, stochastic control, and stochastic differential games with financial applications /cRene Carmona (Princeton University, Princeton, New Jersey).3 aLectures on backward stochastic differential equations, stochastic control, and stochastic differential games with financial applications. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (ix, 265 pages) :billustrations (some color). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aFinancial mathematics ;v01 aIncludes bibliographical references (pages 253-259) and indexes.0 aPreface -- Stochastic differential equations -- Backward stochastic differential equations -- Continuous time stochastic optimization and control -- Probabilistic approaches to stochastic control -- Stochastic differential games -- Mean-field games. aRestricted to subscribers or individual electronic text purchasers.3 aThe goal of this textbooks is to introduce students to the stochastic analysis tools that play an increasing role in the probabilistic approach to optimization problems, including stochastic control and stochastic differential games. It is designed for students who are interested in: stochastic differential equations (forward, backward, forward-backward); the probabilistic approach to stochastic control: dynamic programming and the stochastic maximum principle; and mean field games and the control of McKean-Vlasov dynamics. The theory is illustrated by applications to models of systemic risk, macroeconomic growth, flocking/schooling, crowd behavior, and predatory trading, among others. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aStochastic differential equations. 0aStochastic control theory. 0aBusiness mathematics. aStochastic analysis aFinancial mathematics aMacro-economics aDynamic programming aProbabilistic optimization aMcKean-Vlasov dynamics aMean field games aStochastic differential equations2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015038344z9781611974232 0aFinancial mathematics ;v01.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197424903751nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100031001110200030001420200025001720280015001970350025002120350021002370400040002580500025002980820016003231000027003392450054003662500021004202640150004413000059005913360021006503370026006713380032006974900042007295040051007715050293008225060072011155201447011875300037026345380036026715380047027075880054027546500059028086530036028676530022029036530010029256530017029356530016029526530016029687100064029847760053030488300043031018560065031449781611974645SIAM20170228190106.0m eo d cr bn |||m|||a170224s2017 paua ob 001 0 eng d a 2016053307z 2016052904 a9781611974645qelectronic z9781611974638qprint50aMM22bSIAM a(CaBNVSL)thg00972503 a(OCoLC)973929628 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA614.8b.M45 2017eb04a515/.392231 aMeiss, J. D.,eauthor.10aDifferential dynamical systems /cJames D. Meiss. aRevised edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xvii, 392 pages) :billustrations (some color). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematical modeling and computation aIncludes bibliographical references and index.0 aPreface to the revised edition -- Preface -- 1. Introduction -- 2. Linear systems -- 3. Existence and uniqueness -- 4. Dynamical systems -- 5. Invariant manifolds -- 6. The phase plane -- 7. Chaotic dynamics -- 8. Bifurcation theory -- 9. Hamiltonian dynamics -- A. Mathematical software. aRestricted to subscribers or individual electronic text purchasers.3 aDifferential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics. Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts--flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. Revisions include simplified and clarified proofs of a number of theorems, an expanded introduction to function spaces, additional exercises, and the correction of typographical errors. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aDifferentiable dynamical systemsxMathematical models. aOrdinary differential equations aDynamical systems aChaos aNonlinearity aBifurcation aPhase space2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016052904z9781611974638 0aMathematical modeling and computation.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197464504095nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100031001110200030001420200025001720280016001970350025002130350021002380400040002590500025002990820015003241000032003392450150003712640150005213000028006713360021006993370026007203380032007464900040007785040051008185050381008695060072012505201460013225300037027825380036028195380047028555880054029026500032029566500027029886530031030156530019030466530025030656530027030906530020031177000096031377000033032337000040032667100064033067760053033708300041034238560065034649781611974508SIAM20170228190106.0m eo d cr bn |||m|||a170224s2016 pau ob 001 0 eng d a 2016026184z 2016024120 a9781611974508qelectronic z9781611974492qprint50aOT149bSIAM a(CaBNVSL)thg00972502 a(OCoLC)951190550 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.2b.K88 2016eb04a518/.22231 aKutz, Jose Nathan,eauthor.10aDynamic mode decomposition :bdata-driven modeling of complex systems /cJ. Nathan Kutz, Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xvi, 234 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- 1. Dynamic mode decomposition : an introduction -- 2. Fluid dynamics -- 3. Koopman analysis -- 4. Video processing -- 5. Multiresolution DMD -- 6. DMD with control -- 7. Delay coordinates, ERA, and hidden Markov models -- 8. Noise and power -- 9. Sparsity and DMD -- 10. DMD on nonlinear observables -- 11. Epidemiology -- 12. Neuroscience -- 13. Financial trading. aRestricted to subscribers or individual electronic text purchasers.3 aData-driven dynamical systems is a burgeoning field--it connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aDecomposition (Mathematics) 0aMathematical analysis. aDynamic Mode Decomposition aKoopman theory aData-driven modeling aEquation-free modeling aComplex systems1 aBrunton, Steven L.c(Professor of mechanical enginerring and applied mathematics),eauthor.1 aBrunton, Bingni W.,eauthor.1 aProctor, Joshua L.,d1982-eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016024120z9781611974492 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197450803996nam 2200577 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200025001280200022001530200025001750280015002000350025002150350021002400400040002610500025003010820017003261000025003432450270003682640150006383000053007883360021008413370026008623380032008884900037009205040051009575050722010085060072017305200963018025300037027655380036028025380047028385880054028856500046029396500024029856500016030096530022030256530021030476530019030686530020030876530021031077000028031287000040031567100064031967760053032608300040033138560065033539781611974546SIAM20161124133024.0m eo d cr bn |||m|||a161117s2016 paua ob 001 0 eng d a 2016039694 a9781611974546qebook a1611974542qebook z9781611974539qprint50aFA11bSIAM a(CaBNVSL)thg00972004 a(OCoLC)964448171 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA378.5b.A83 2016eb04a515/.3572231 aAsch, Mark,eauthor.10aData assimilation :bmethods, algorithms, and applications /cMark Asch, Universite de Picardie Jules Verne, Amiens, France, Marc Bocquet, École des Ponts ParisTech/CEREA, Marne la Vallee, France, Ma{uml}elle Nodet, Universite Grenoble Alpes, Grenoble, France. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xviii, 306 pages) :bcolor illustrations. atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aFundamentals of algorithms ;v11 aIncludes bibliographical references and index.0 aPreface -- part I. Basic methods and algorithms for data assimilation -- 1. Introduction to data assimilation and inverse problems -- 2. Optimal control and variational data assimilation -- 3. Statistical estimation and sequential data assimilation -- part II. Advanced methods and algorithms for data assimilation -- 4. Nudging methods -- 5. Reduced methods -- 6. The ensemble Kalman filter -- 7. Ensemble variational methods -- part III. Applications and case studies -- 8. Applications in environmental sciences -- 9. Applications in atmospheric sciences -- 10. Applications in geosciences -- 11. Applications in medicine, biology, chemistry, and physical sciences -- 12. Applications in human and social sciences.1 aRestricted to subscribers or individual electronic text purchasers.3 aData assimilation is an approach that combines observations and model output, with the objective of improving the latter. This book places data assimilation into the broader context of inverse problems and the theory, methods, and algorithms that are used for their solution. It provides a framework for, and insight into, the inverse problem nature of data assimilation, emphasizing "why" and not just "how." Methods and diagnostics are emphasized, enabling readers to readily apply them to their own field of study. Readers will find a comprehensive guide that is accessible to nonexperts; numerous examples and diverse applications from a broad range of domains, including geophysics and geophysical flows, environmental acoustics, medical imaging, mechanical and biomedical engineering, economics and finance, and traffic control and urban planning; and the latest methods for advanced data assimilation, combining variational and statistical approaches. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aInverse problems (Differential equations) 0aNumerical analysis. 0aAlgorithms. aData assimilation aInverse problems aKalman filters aAdjoint methods aEnsemble methods1 aBocquet, Marc,eauthor.1 aNodet, Ma{uml}elle,d1978-eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016035022z9781611974539 0aFundamentals of algorithms ;vFA11.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197454604302nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280016001830350025001990350021002240400040002450500025002850820020003101000040003302450175003702500019005452640150005643000029007143360021007433370026007643380032007904900047008225040051008695050724009205060072016445201440017165300037031565380036031935380047032295880054032766300012033306500041033426530011033836530023033946530027034176530016034446530017034607000041034777100064035187760053035828300048036358560065036839781611974669SIAM20161129190106.0m eo d cr bn |||m|||a161117s2016 pau ob 001 0 eng d a 2016039323 a9781611974669qelectronic z9781611974652qprint50aOT150bSIAM a(CaBNVSL)thg00972003 a(OCoLC)964448106 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA297b.H5217 2016eb04a518.0285/532231 aHigham, Desmond J.,d1964-eauthor.10aMATLAB guide /cDesmond J. Higham, University of Strathclyde, Glasgow, Scotland, United Kingdom, Nicholas J. Higham, University of Manchester, Manchester, United Kingdom. aThird edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xxvi, 476 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics ;v150 aIncludes bibliographical references and index.0 aPreface -- 1. A brief tutorial -- 2. Basics -- 3. Distinctive features of MATLAB -- 4. Arithmetic -- 5. Matrices -- 6. Operators and flow control -- 7. Program files -- 8. Graphics -- 9. Linear algebra -- 10. More on functions -- 11. Numerical methods : part I -- 12. Numerical methods : part II -- 13. Input and output -- 14. Troubleshooting -- 15. Sparse matrices -- 16. More on coding -- 17. Advanced graphics -- 18. Other data types and multidimensional arrays -- 19. Object-oriented programming -- 20. The symbolic math toolbox -- 21. Graphs -- 22. Large data sets -- 23. Optimizing codes -- 24. Tricks and tips -- 25. The parallel computing toolbox -- 26. Case studies -- Appendix A. The top 111 MATLAB functions.1 aRestricted to subscribers or individual electronic text purchasers.3 aMATLAB is an interactive system for numerical computation that is widely used for teaching and research in industry and academia. It provides a modern programming language and problem solving environment, with powerful data structures, customizable graphics, and easy-to-use editing and debugging tools. This third edition of MATLAB Guide completely revises and updates the best-selling second edition and is more than 30 percent longer. The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox. Key features are: a tutorial in Chapter 1 that gives a hands-on overview of MATLAB, a thorough treatment of MATLAB mathematics, including the linear algebra and numerical analysis functions and the differential equation solvers, and a web page at http://www.siam.org/books/ot150 that provides example program files, updates, and links to MATLAB resources. The new edition contains color figures throughout, includes pithy discussions of related topics in new "Asides" boxes that augment the text, has new chapters on the Parallel Computing Toolbox, object-oriented programming, graphs, and large data sets, covers important new MATLAB data types such as categorical arrays, string arrays, tall arrays, tables, and timetables, contains more on MATLAB workflow, including the Live Editor and unit tests, and fully reflects major updates to the MATLAB graphics system. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version.00aMATLAB. 0aNumerical analysisxData processing. aMATLAB aNumerical analysis aScientific computation aProgramming aData science1 aHigham, Nicholas J.,d1961-eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016039121z9781611974652 0aOther titles in applied mathematics ;v150.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197466903909nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500028002840820018003121000035003302450155003652640150005203000028006703360021006983370026007193380032007454900042007775040051008195050258008705060072011285201579012005300037027795380036028165380047028525880054028996500035029536500020029886530019030086530024030276530034030516530017030856530017031026530024031197100064031437760053032078300042032608560065033029781611974584SIAM20161027190106.0m eo d cr bn |||m|||a161020s2017 pau fob 001 0 eng d a 2016038029 a9781611974584qelectronic z9781611974577qprint50aMM21bSIAM a(CaBNVSL)thg00971725 a(OCoLC)961182406 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aTA357.5.U57bB35 2017eb04a620.1/0642231 aBalasuriya, Sanjeeva,eauthor.10aBarriers and transport in unsteady flows :ba Melnikov approach /cSanjeeva Balasuriya, University of Adelaide, Adelaide, South Australia, Australia. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xiv, 264 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematical modeling and computation aIncludes bibliographical references and index.0 aPreface -- 1. Unsteady (nonautonomous) flows -- 2. Melnikov theory for stable and unstable manifolds -- 3. Quantifying transport flux across unsteady flow barriers -- 4. Optimizing transport across flow barriers -- 5. Controlling unsteady flow barriers.1 aRestricted to subscribers or individual electronic text purchasers.3 aFluids that mix at geophysical or microscales tend to form well-mixed areas and regions of coherent blobs. The Antarctic circumpolar vortex, which mostly retains its structure while moving unsteadily in the atmosphere, is an example of a coherent structure. How do such structures exchange fluid with their surroundings? What is the impact on global mixing? What is the "boundary" of the structure, and how does it move? Can these questions be answered from time-varying observational data? This book addresses these issues from the perspective of the differential equations that must be obeyed by fluid particles. In these terms, identification of the boundaries of coherent structures (i.e., "flow barriers"), quantification of transport across them, control of the locations of these barriers, and optimization of transport across them are developed using a rigorous mathematical framework. The concepts are illustrated with an array of theoretical and applied examples that arise from oceanography and microfluidics. Barriers and Transport in Unsteady Flows: A Melnikov Approach provides an extensive introduction and bibliography, specifically elucidating the difficulties arising when flows are unsteady and highlighting relevance in geophysics and microfluidics; careful and rigorous development of the mathematical theory of unsteady flow barriers within the context of nonautonomous stable and unstable manifolds, richly complemented with examples; and chapters on exciting new research in the control of flow barriers and the optimization of transport across them. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aUnsteady flow (Fluid dynamics) 0aFluid dynamics. aUnsteady flows aCoherent structures aStable and unstable manifolds aChaotic flux aFluid mixing aNonautonomous flows2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016035018z9781611974577 0aMathematical modeling and computation403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197458403999nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500025002840820018003091000031003272450245003582640150006033000026007533360021007793370026008003380032008264900069008585040051009275050256009785060072012345201458013065300037027645380036028015380047028375880054028846500046029386500029029846500017030136530022030306530023030526530029030756530021031047000038031257000030031637100064031937760053032578300070033108560065033809781611974461SIAM20161018190106.0m eo d cr bn |||m|||a161014s2016 pau fob 001 0 eng d a 2016028888 a9781611974461qelectronic z9781611974454qprint50aCB88bSIAM a(CaBNVSL)thg00971670 a(OCoLC)960822028 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA377b.C2475 2016eb04a512.9/4362231 aCakoni, Fioralba,eauthor.10aInverse scattering theory and transmission eigenvalues /cFioralba Cakoni, Rutgers University, Piscataway, New Jersey, David Colton, University of Delaware, Newark, Delaware, Houssem Haddar, INRIA and Ecole Polytechnique, Palaiseau, France. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (x, 183 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aCBMS-NSF regional conference series in applied mathematics ;v88 aIncludes bibliographical references and index.0 aPreface -- 1. Inverse scattering theory -- 2. The determination of the support of inhomogeneous media -- 3. The interior transmission problem -- 4. The existence of transmission eigenvalues -- 5. Inverse spectral problems for transmission eigenvalues.1 aRestricted to subscribers or individual electronic text purchasers.3 aInverse scattering theory is a major theme of applied mathematics, and it has applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting particular problems in the development of efficient inversion algorithms. Although linearized models continue to play an important role in many applications, an increased need to focus on problems in which multiple scattering effects cannot be ignored has led to a central role for nonlinearity, and the possibility of collecting large amounts of data over limited regions of space means that the ill-posed nature of the inverse scattering problem has become a problem of central importance. Initial efforts to address the nonlinear and the ill-posed nature of the inverse scattering problem focused on nonlinear optimization methods. While efficient in many situations, strong a priori information is necessary for their implementation. This problem led to a qualitative approach to inverse scattering theory in which the amount of a priori information is drastically reduced, although at the expense of only obtaining limited information about the values of the constitutive parameters. This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aInverse problems (Differential equations) 0aScattering (Mathematics) 0aEigenvalues. aScattering theory aInverse scattering aTransmission eigenvalues aSampling methods1 aColton, David L.,d1943-eauthor.1 aHaddar, Houssem,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016025803z9781611974454 0aCBMS-NSF regional conference series in applied mathematics ;v88.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197446103304nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500025002840820016003091000027003252450131003522640150004833000028006333360021006613370026006823380032007084900069007405040051008095050440008605060072013005200783013725300037021555380036021925380047022285880054022756500015023296500046023446500029023906500019024196530014024386530018024526530018024706530022024887100064025107760053025748300070026278560065026979781611974485SIAM20160902190106.0m eo d cr bn |||m|||a160823s2016 pau fob 001 0 eng d z 2016019513 a9781611974485qelectronic z9781611974478qprint50aCB89bSIAM a(CaBNVSL)thg00971331 a(OCoLC)957660741 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQH367.5b.S74 2016eb04a576.8/82231 aSteel, M. A.,eauthor.10aPhylogeny :bdiscrete and random processes in evolution /cMichael Steel, University of Canterbury, Christchurch, New Zealand. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xvi, 293 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aCBMS-NSF regional conference series in applied mathematics ;v89 aIncludes bibliographical references and index.0 aPreface -- 1. Phylogeny -- 2. Basic combinatorics of discrete phylogenies -- 3. Tree shape and random discrete phylogenies -- 4. Pulling trees apart and putting trees together -- 5. Phylogenies based on discrete characters -- 6. Continuous phylogenies and distance-based tree reconstruction -- 7. Evolution on a tree : part one -- 8. Evolution on a tree : part two -- 9. Evolution of trees -- 10. Introduction to phylogenetic networks.1 aRestricted to subscribers or individual electronic text purchasers.3 aPhylogenetics is a topical and growing area of research. Phylogenies (phylogenetic trees and networks) allow biologists to study and graph evolutionary relationships between different species. These are also used to investigate other evolutionary processes—for example, how languages developed or how different strains of a virus (such as HIV or influenza) are related to each other. This self-contained book addresses the underlying mathematical theory behind the reconstruction and analysis of phylogenies. The theory is grounded in classical concepts from discrete mathematics and probability theory as well as techniques from other branches of mathematics (algebra, topology, differential equations). The biological relevance of the results is highlighted throughout. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aPhylogeny. 0aEvolution (Biology)xStatistical methods. 0aMathematical statistics. 0aProbabilities. aEvolution aPhylogenetics aCombinatorics aStochastic models2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016019513z9781611974478 0aCBMS-NSF regional conference series in applied mathematics ;v89.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197448502668nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500022002840820018003061000045003242450085003692640150004543000028006043360021006323370026006533380032006794900042007115000068007535040051008215050116008725060072009885200478010605300037015385380036015755380047016115880054016586500020017126530019017326530021017516530018017726530028017906530021018187000062018397100064019017760053019658300043020188560065020619781611974522SIAM20160902190106.0m eo d cr bn |||m|||a160823r20161966pau fob 001 0 eng d z 2016035028 a9781611974522qelectronic z9781611974515qprint50aCL76bSIAM a(CaBNVSL)thg00971330 a(OCoLC)957660645 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA404b.L3 2016eb04a515/.24332231 aLanczos, Cornelius,d1893-1974,eauthor.10aDiscourse on Fourier series /cCornelius Lanczos ; with a foreword by John Boyd. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xvi, 255 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aClassics in applied mathematics ;v76 aOriginally published: Edinburgh ; London : Oliver & Boyd, 1966. aIncludes bibliographical references and index.0 aPreface -- 1. The Fourier series -- 2. The Fourier series in approximation problems -- 3. The Fourier integral.1 aRestricted to subscribers or individual electronic text purchasers.3 aOriginally published in 1966, this well-written and still-cited text covers Fourier analysis, a foundation of science and engineering. Many modern textbooks are filled with specialized terms and equations that may be confusing, but this book uses a friendly, conversational tone to clarify the material and engage the reader. The author meticulously develops the topic and uses 161 problems integrated into the text to walk the student down the simplest path to a solution. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aFourier series. aFourier series aFourier integral aData analysis aSmoothing and filtering aGibbs Phenomenon1 aBoyd, John P.q(John Philip),d1951-ewriter of foreword.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016035028z9781611974515 0aClassics in applied mathematics ;v76.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197452202933nam 2200505 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500024002720820016002961000032003122450119003442640150004633000029006133360021006423370026006633380032006894900036007215040051007575050312008085200775011205380036018955380047019315880047019786500046020256500061020716530015021326530013021476530017021606530016021776530015021937100064022087760053022728300037023258560065023629781611974164SIAM20151118190106.0m eo d cr bn |||m|||a151109s2015 pau ob 001 0 eng d z 2015030489 a9781611974164 z9781611974157qprint50aMO22bSIAM a(CaBNVSL)thg00971238 a(OCoLC)929047387 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aTK3001b.B47 2015eb00a621.3192231 aBienstock, Daniel,eauthor.10aElectrical transmission system cascades and vulnerability :ban operations research viewpoint /cDaniel Bienstock. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (viii, 294 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 aPreface -- 1. Power engineering basics -- 2. Computations with the AC power flow model -- 3. N-K problem -- 4. Modeling transmission system cascades : a survey -- 5. Toward more comprehensive cascade models -- 6. Online cascade control -- Appendix A. Glossary -- Appendix B. Complete power flow derivations.3 aThe power grid can be considered one of twentieth-century engineering's greatest achievements, and as grids and populations grow, robustness is a factor that planners must take into account. Power grid robustness is a complex problem for two reasons: the underlying physics is mathematically complex, and modeling is complicated by lack of accurate data. This book sheds light on this complex problem by introducing the engineering details of power grid operations from the basic to the detailed; describing how to use optimization and stochastic modeling, with special focus on the modeling of cascading failures and robustness; providing numerical examples that show "how things work"; and detailing the application of a number of optimization theories to power grids. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/9/2015. 0aElectric power transmissionxReliability. 0aDistributed resources (Electric utilities)xReliability. aPower grid aCascades aOptimization aStochastics aRobustness2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015030489z9781611974157 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197416404647nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500023002720820016002952450154003112640150004653000028006153360021006433370026006643380032006904900055007225040051007775051289008285201316021175380036034335380047034695880047035166500042035636500024036056500045036296530023036746530022036976530033037196530025037526530031037777000034038087000034038427100064038767760053039408300059039938560065040529781611974188SIAM20151118190106.0m eo d cr bn |||m|||a151109s2015 pau ob 001 0 eng d z 2015032778 a9781611974188 z9781611974171qprint50aSA21bSIAM a(CaBNVSL)thg00971237 a(OCoLC)929047490 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aRA409b.A33 2015eb00a610.2/122300aAdaptive treatment strategies in practice :bplanning trials and analyzing data for personalized medicine /cedited by Michael Kosorok, Erica Moodie. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (xvi, 348 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aASA-SIAM statistics and applied probability series aIncludes bibliographical references and index.0 aPreface -- 1. Introduction -- part I. Design of trials for estimating dynamic treatment regimes -- 2. DTRs and SMARTs : definitions, designs, and applications -- 3. Efficient design for clinically relevant intent-to-treat comparisons -- 4. SMART design, conduct, and analysis in oncology -- 5. Sample size calculations for clustered SMART designs -- part II. Practical challenges in dynamic treatment regime analyses -- 6. Analysis in the single-stage setting : an overview of estimation approaches for dynamic treatment regimes -- 7. G-estimation for dynamic treatment regimes in the longitudinal setting -- 8. Outcome weighted learning methods for optimal dynamic treatment regimes -- 9. Value search estimators for optimal dynamic treatment regimes -- 10. Evaluation of longitudinal dynamics with and without marginal structural working models -- 11. Imputation strategy for SMARTs -- 12. Clinical trials for personalized dose finding -- 13. Methods for analyzing DTRs with censored survival data -- 14. Outcome weighted learning with a reject option -- 15. Estimation of dynamic treatment regimes for complex outcomes : balancing benefits and risks -- 16. Practical reinforcement learning in dynamic treatment regimes -- 17. Reinforcement learning applications in clinical trials.3 aPersonalized medicine is a medical paradigm that emphasizes systematic use of individual patient information to optimize that patient's health care, particularly in managing chronic conditions and treating cancer. In the statistical literature, sequential decision making is known as an adaptive treatment strategy (ATS) or a dynamic treatment regime (DTR). The field of DTRs emerges at the interface of statistics, machine learning, and biomedical science to provide a data-driven framework for precision medicine. The authors provide a learning-by-seeing approach to the development of ATSs, aimed at a broad audience of health researchers. All estimation procedures used are described in sufficient heuristic and technical detail so that less quantitative readers can understand the broad principles underlying the approaches. At the same time, more quantitative readers can implement these practices. Adaptive Treatment Strategies in Practice: Planning Trials and Analyzing Data for Personalized Medicine provides the most up-to-date summary of the current state of the statistical research in personalized medicine, contains chapters by leaders in the area from both the statistics and computer sciences fields, contains a range of practical advice, introductory and expository materials, and case studies. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/9/2015. 0aClinical trialsxStatistical methods. 0aMedical statistics. 0aMedicinexResearchxStatistical methods. aParallel computing aIterative methods aDomain decomposition methods aScientific computing aHigh performance computing1 aKosorok, Michael R.,eeditor.1 aMoodie, Erica E. M.,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015032778z9781611974171 0aASA-SIAM series on statistics and applied probability.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197418802644nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280016001710350025001870400040002120500026002520820014002781000029002922450100003212460029004212640150004503000026006003360021006263370026006473380032006734900047007055040051007525050275008035060072010785200406011505300037015565380036015935380047016295880054016766500031017306500023017616500016017846530017018006530015018176530019018326530012018516530016018637100064018797760053019438300041019968560065020379781611974409SIAM20160603190106.0m eo d cr bn |||m|||a160527s2016 pau ob 001 0 eng d a 2016018451 a9781611974409 z9781611974393qprint50aOT147bSIAM a(CaBNVSL)thg00971148 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.5b.L338 2016eb04a519.62231 aLange, Kenneth,eauthor.10aMM optimization algorithms /cKenneth Lange, University of California, Los Angeles, California.30aOptimization algorithms. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (x, 223 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics ;v147 aIncludes bibliographical references and index.0 aPreface -- 1. Beginning examples -- 2. Convexity and inequalities -- 3. Nonsmooth analysis -- 4. Majorization and minorization -- 5. Proximal algorithms -- 6. Regression and multivariate analysis -- 7. Convergence and acceleration -- Appendix A. Mathematical background.1 aRestricted to subscribers or individual electronic text purchasers.3 aMM Optimization Algorithms offers an overview of the MM principle, a device for deriving optimization algorithms satisfying the ascent or descent property. These algorithms can separate the variables of a problem, avoid large matrix inversions, linearize a problem, restore symmetry, deal with equality and inequality constraints gracefully, and turn a nondifferentiable problem into a smooth problem. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aMathematical optimization. 0aMaxima and minima. 0aAlgorithms. aOptimization aStatistics aBiomathematics aImaging aData mining2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016016275z9781611974393 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197440903627nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860400040002110500023002510820017002741000038002912450113003292460016004422640150004583000028006083360021006363370026006573380032006834900042007155040051007575050282008085060072010905201428011625300037025905380036026275380047026635880054027106500013027646500015027776530015027926530027028076530024028346530032028587100064028907760053029548300037030078560065030449781611974386SIAM20160603190106.0m eo d cr bn |||m|||a160527s2016 pau ob 001 0 eng d a 2016016279 a9781611974386 z9781611974379qprint50aMO23bSIAM a(CaBNVSL)thg00971147 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA559b.T63 2016eb04a516/.1562231 aTodd, Michael J.,d1947-eauthor.10aMinimum-volume ellipsoids :btheory and algorithms /cMichael J. Todd, Cornell University, Ithaca, New York.30aEllipsoids. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xiv, 149 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization ;v23 aIncludes bibliographical references and index.0 aPreface -- 1. Introduction -- 2. Minimum-volume ellipsoids -- 3. Algorithms for the MVEE problem -- 4. Minimum-Area ellipsoidal cylinders -- 5. Algorithms for the MAEC problem -- 6. Related Problems and algorithms -- Appendix A. Background material -- Appendix B. MATLAB codes.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book, the first on these topics, addresses the problem of finding an ellipsoid to represent a large set of points in high-dimensional space, which has applications in computational geometry, data representations, and optimal design in statistics. The book covers the formulation of this and related problems, theoretical properties of their optimal solutions, and algorithms for their solution. Due to the high dimensionality of these problems, first-order methods that require minimal computational work at each iteration are attractive. While algorithms of this kind have been discovered and rediscovered over the past fifty years, their computational complexities and convergence rates have only recently been investigated. The optimization problems in the book have the entries of a symmetric matrix as their variables, so the author's treatment also gives an introduction to recent work in matrix optimization. This book provides historical perspective on the problems studied by optimizers, statisticians, and geometric functional analysts; demonstrates the huge computational savings possible by exploiting simple updates for the determinant and the inverse after a rank-one update, and highlights the difficulties in algorithms when related problems are studied that do not allow simple updates at each iteration; and gives rigorous analyses of the proposed algorithms, MATLAB codes, and computational results. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aEllipse. 0aCylinders. aEllipsoids aGeometric optimization aFirst-order methods aOptimal experimental design2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016012176z9781611974379 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197438604035nam 2200589 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860400040002110500023002510820022002741000060002962450234003562640150005903000028007403360021007683370026007893380032008154900038008475040051008855050482009365060072014185201194014905300037026845380036027215380047027575880054028046300012028586300011028706500031028816500031029126500032029436500046029756530032030216530026030536530017030796530034030966530021031307000039031517100064031907760053032548300035033078300038033428560065033809781611974362SIAM20160603190106.0m eo d cr bn |||m|||a160527s2016 pau ob 001 0 eng d a 2016016788 a9781611974362 z9781611974355qprint50aSE27bSIAM a(CaBNVSL)thg00971146 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA355b.C59 2016eb04a518/.530285532231 aColeman, Thomas F.q(Thomas Frederick),d1950-eauthor.10aAutomatic differentiation in MATLAB using ADMAT with applications /cThomas Coleman, University of Waterloo, Waterloo, Ontario, Canada, Wei Xu, Tongji University, Shanghai, P.R. China, and, Global Risk Institute, Toronto, Canada. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xii, 105 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aSoftware, environments, and tools aIncludes bibliographical references and index.0 aPreface -- 1. Fundamentals of automatic differentiation and the use of ADMAT -- 2. Products and sparse problems -- 3. Using ADMAT with the MATLAB optimization toolbox -- 4. Newton's method and optimization -- 5. Structure -- 6. Combining C/Fortran with ADMAT -- 7. AD for inverse problems with an application to computational finance -- 8. A Template for structured problems -- 9. R&D directions -- Appendix A. Installation of ADMAT -- Appendix B. How are codes differentiated?1 aRestricted to subscribers or individual electronic text purchasers.3 aThe calculation of partial derivatives is a fundamental need in scientific computing. Automatic differentiation (AD) can be applied straightforwardly to obtain all necessary partial derivatives (usually first and, possibly, second derivatives) regardless of a code's complexity. However, the space and time efficiency of AD can be dramatically improved--sometimes transforming a problem from intractable to highly feasible--if inherent problem structure is used to apply AD in a judicious manner. Automatic Differentiation in MATLAB Using ADMAT with Applications discusses the efficient use of AD to solve real problems, especially multidimensional zero-finding and optimization, in the MATLAB{reg} environment. This book is concerned with the determination of the first and second derivatives in the context of solving scientific computing problems with an emphasis on optimization and solutions to nonlinear systems. The authors focus on the application rather than the implementation of AD, solve real nonlinear problems with high performance by exploiting the problem structure in the application of AD, and provide many easy to understand applications, examples, and MATLAB templates. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version.00aMATLAB.00aADMAT. 0aNumerical differentiation. 0aMathematical optimization. 0aAutomatic differentiations. 0aFinancial engineeringxComputer programs. aAlgorithmic differentiation aComputational finance aOptimization aDerivative matrix computation aInverse problems1 aXu, Weic(Mathematician),eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016009172z9781611974355 0aSoftware, environments, tools. 0aSoftware, environments, and tools403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197436204014nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500025002720820021002971000027003182450150003452640150004953000031006453360021006763370026006973380032007234900041007555040051007965051062008475060072019095200847019815300037028285380036028655380047029015880054029486500033030026500017030356530016030526530021030686530027030896530016031166530020031326530023031526530025031756530022032007100064032227760053032868300044033398560065033839781611974287SIAM20160315190106.0m eo d cr bn |||m|||a160127s2016 pau ob 001 0 eng d z 2015045970 a9781611974287 z9781611974270qprint50aDC30bSIAM a(CaBNVSL)thg00970673 a(OCoLC)939256941 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aTA157b.B3447 2016eb04a620.001/51932231 aBauso, Dario,eauthor.10aGame theory with engineering applications /cDario Bauso, The University of Sheffield, Sheffield, UK, and Universita di Palermo, Palermo, Italy. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xxviii, 292 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aAdvances in design and control ;v30 aIncludes bibliographical references and index.0 aPreface -- part I. Theory -- 1. Introduction to games -- 2. Two-person zero-sum games -- 3. Computation of saddle-points and Nash equilibrium solutions -- 4. Refinement on Nash equilibrium solutions, Stackelberg equilibrium, and Pareto optimality -- 5. Coalitional games -- 6. Core, shaply value, nucleolus -- 7. Evolutionary game theory -- 8. Replicator dynamics and learning in games -- 9. Differential games -- 10. Stochastic games -- 11. Games with vector payoffs. Approachability and attainability -- 12. Mean-field games -- part II. Applications -- 13. Consensus in multi-agent systems -- 14. Demand side management -- 15. Synchronization of power generators -- 16. Opinion dynamics -- 17. Bargaining -- 18. Pedestrian flow -- 19. Supply chain -- 20. Population of producers -- 21. Cyber-physical systems -- Appendix A. Mathematical review -- Appendix B. Optimization -- Appendix C. Lyapunov stability -- Appendix D. Some notions of probability theory -- Appendix E. Stochastic stability -- Appendix F. Indistinguishability and mean-field convergence.1 aRestricted to subscribers or individual electronic text purchasers.3 aEngineering systems are highly distributed collective systems--decisions, information, and objectives are distributed throughout--that have humans in the loop, and thus decisions may be influenced by socioeconomic factors. Engineering systems emphasize the potential of control and games beyond traditional applications. Game theory can be used to design incentives to obtain socially desirable behaviors on the part of the players, for example, a change in the consumption patterns on the part of the "prosumers" (producers-consumers) or better redistribution of traffic. This unique book addresses the foundations of game theory, with an emphasis on the physical intuition behind the concepts, an analysis of design techniques, and a discussion of new trends in the study of cooperation and competition in large complex distributed systems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aEngineeringxSocial aspects. 0aGame theory. aGame theory aMean-field games aSocio-physical systems aSmart grids aSocial networks aProduction systems aDistribution systems aTransport systems2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015045970z9781611974270 0aAdvances in design and control ;vDC30.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197428704096nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500024002720820016002961000048003122450275003602640150006353000028007853360021008133370026008343380032008604900041008925040051009335050858009845201143018425380036029855380047030215880048030686500033031166500045031496500021031946530036032156530023032516530030032746530021033046530027033257100064033527760053034168300044034698560065035139781611974225SIAM20151125190106.0m eo d cr bn |||m|||a151119s2016 pau ob 001 0 eng d z 2015038343 a9781611974225 z9781611974218qprint50aDC29bSIAM a(CaBNVSL)thg00970301 a(OCoLC)930320899 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aT57.9b.C675 2016eb04a519.8/22231 aCorless, Martin J.q(Martin John),eauthor.10aAIMD dynamics and distributed resource allocation /cM. Corless, Purdue University, West Lafayette, Indiana, C. King, Northeastern University, Boston, Massachusetts, R. Shorten, University College Dublin, Dublin, Ireland, F. Wirth, University of Passau, Passau, Germany. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2016] a1 PDF (xiv, 236 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aAdvances in design and control ;v29 aIncludes bibliographical references and index.0 aPreface -- 1. Origins and applications of AIMD -- part I. Linear AIMD -- 2. Synchronized homogeneous AIMD -- 3. Nonsynchronized nonhomogeneous AIMD -- 4. The IID AIMD model -- 5. Mathematical background for part I -- part II. Stochastic linear AIMD -- 6. IID AIMD and ergodicity -- 7. AIMD with state-dependent transition probabilities -- 8. A Markov chain model for capacity events -- 9. Mathematical background for part II -- part III. Nonlinear AIMD -- 10. A primer on nonlinear AIMD -- 11. Synchronized homogeneous nonlinear AIMD -- 12. Nonsynchronized nonhomogeneous NAIMD -- 13. Nonsynchronized algorithms with stochastic state-dependent growth rates -- part IV. Applications of AIMD algorithms -- 14. Three sample industrial applications of AIMD -- 15. Another application. network utility optimization -- 16. Mathematical background for part IV.3 aThis is the first comprehensive book on the AIMD algorithm, the most widely used method for allocating a limited resource among competing agents without centralized control. The authors offer a new approach that is based on positive switched linear systems. It is used to develop most of the main results found in the book, and fundamental results on stochastic switched nonnegative and consensus systems are derived to obtain these results. The original and best known application of the algorithm is in the context of congestion control and resource allocation on the Internet, and readers will find details of several variants of the algorithm in order of increasing complexity, including deterministic, random, linear, and nonlinear versions. In each case, stability and convergence results are derived based on unifying principles. Basic and fundamental properties of the algorithm are described, examples are used to illustrate the richness of the resulting dynamical systems, and applications are provided to show how the algorithm can be used in the context of smart cities, intelligent transportation systems, and the smart grid. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/19/2015. 0aQueuing theoryxMathematics. 0aStochastic systemsxMathematical models. 0aAIMD algorithms. aDistributed resource allocation aCongestion control aIterated function systems aPositive systmes aRandom matrix products2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015038343z9781611974218 0aAdvances in design and control ;vDC29.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197422503981nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280016001710350025001870350021002120400040002330500024002730820017002971000033003142450236003472640150005833000030007333360021007633370026007843380032008104900047008425040051008895051101009405200843020415380036028845380047029205880048029676500030030156500038030456530029030836530023031126530023031356530021031586530032031797000029032117100064032407760053033048300041033578560065033989781611974201SIAM20151125190106.0m eo d cr bn |||m|||a151119s2015 pau ob 001 0 eng d z 2015032776 a9781611974201 z9781611974195qprint50aOT146bSIAM a(CaBNVSL)thg00970300 a(OCoLC)930320797 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA379b.T754 2015eb04a515/.3532231 aTrogdon, Thomas D.,eauthor.10aRiemann-Hilbert problems, their numerical solution, and the computation of nonlinear special functions /cThomas Trogdon, New York University, New York, New York, Sheehan Olver, The University of Sydney, New South Wales, Australia. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (xviii, 373 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics ;v146 aIncludes bibliographical references and index.0 aPreface -- Notation and abbreviations -- part I. Riemann-Hilbert problems -- 1. Classical applications of Riemann-Hilbert problems -- 2. Riemann-Hilbert problems -- 3. Inverse scattering and nonlinear steepest descent -- part II. Numerical solution of Riemann-Hilbert problems -- 4. Approximating functions -- 5. Numerical computation of Cauchy transforms -- 6. The numerical solution of Riemann-Hilbert problems -- 7. Uniform approximation theory for Riemann-Hilbert problems -- part III. The computation of nonlinear special functions and solutions of nonlinear PDEs -- 8. The Korteweg-de Vries and modified Korteweg-de Vries equations -- 9. The focusing and defocusing nonlinear Schrodinger equations -- 10. The Painleve II transcendents -- 11. The finite-genus solutions of the Korteweg-de Vries equation -- 12. The dressing method and nonlinear superposition -- part IV. Appendices -- Appendix A. Function spaces and functional analysis -- Appendix B. Fourier and Chebyshev series -- Appendix C. Complex analysis -- Appendix D. Rational approximation -- Appendix E. Additional KDV results.3 aRiemann-Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann-Hilbert problem. This book, the most comprehensive one to date on the applied and computational theory of Riemann-Hilbert problems, includes an introduction to computational complex analysis, an introduction to the applied theory of Riemann-Hilbert problems from an analytical and numerical perspective, a discussion of applications to integrable systems, differential equations, and special function theory, and six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann-Hilbert method, each of mathematical or physical significance or both. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/19/2015. 0aRiemann-Hilbert problems. 0aDifferentiable dynamical systems. aRiemann-Hilbert problems aIntegrable systems aNumerical analysis aComplex analysis aNonlinear special functions1 aOlver, Sheehan,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015032776z9781611974195 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197420103326nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280016001710350025001870350021002120400040002330500024002730820016002971000027003132450212003402640150005523000030007023360021007323370026007533380032007794900042008115000072008535040053009255050524009785200770015025380036022725380047023085880048023556500024024036530023024276530014024506530021024646530028024856530024025137000046025377100064025837760053026478300043027008560065027439781611974263SIAM20151125190106.0m eo d cr bn |||m|||a151119r20151986pau ob 001 0 eng d z 2015039968 a9781611974263 z9781611974256qprint50aCL751bSIAM a(CaBNVSL)thg00970299 a(OCoLC)930320873 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402b.K729 2015eb04a519.2/32231 aKumar, P. R.,eauthor.10aStochastic systems :bestimation, identification, and adaptive control /cP.R. Kumar, Texas A&M University, College Station, Texas, Pravin Varaiya, University of California at Berkeley, Berkeley, California. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (xviii, 358 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aClassics in applied mathematics ;v75 aOriginally published: Englewood Cliffs, N.J. : Prentice Hall, 1986. aIncludes bibliographical references and indexes.0 aPreface to the classics edition -- Preface -- Erratum -- 1. Introduction -- 2. State space models -- 3. Properties of linear stochastic systems -- 4. Controlled Markov chain model -- 5. Input output models -- 6. Dynamic programming -- 7. Linear systems: estimation and control -- 8. Infinite horizon dynamic programming -- 9. Introduction to system identification -- 10. Linear system identification -- 11. Bayesian adaptive control -- 12. Non-Bayesian adaptive control -- 13. Self-tuning regulators for linear systems.3 aSince its origins in the 1940s, the subject of decision making under uncertainty has grown into a diversified area with application in several branches of engineering and in those areas of the social sciences concerned with policy analysis and prescription. These approaches required a computing capacity too expensive for the time, until the ability to collect and process huge quantities of data engendered an explosion of work in the area. This book provides succinct and rigorous treatment of the foundations of stochastic control; a unified approach to filtering, estimation, prediction, and stochastic and adaptive control; and the conceptual framework necessary to understand current trends in stochastic control, data mining, machine learning, and robotics. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/19/2015. 0aStochastic systems. aStochastic systems astimation aAdaptive control aMarkov decision process aDynamic programming1 aVaraiya, P. P.q(Pravin Pratap),eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015039968z9781611974256 0aClassics in applied mathematics ;v75.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197425603362nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200015001460200025001610280016001860350025002020350021002270400040002480500025002880820017003131000032003302450295003622640150006573000026008073360021008333370026008543380032008804900047009125040051009595050326010105200842013365380036021785380047022145880048022616500026023096500037023356530023023726530022023956530033024176530025024506530031024757000037025067000054025437100064025977760053026618300041027148560065027559781611974065SIAM20151025190106.0m eo d cr bn |||m|||a151021s2015 pau ob 001 0 eng d z 2015027040 a9781611974065 a1611974054 z9781611974058qprint50aOT144bSIAM a(CaBNVSL)thg00970027 a(OCoLC)926621040 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.2b.D65 2015eb04a515/.3532231 aDolean, Victorita,eauthor.13aAn introduction to domain decomposition methods :balgorithms, theory, and parallel implementation /cVictorita Dolean, University of Strathclyde, Glasgow, United Kingdom, Pierre Jolivet, ETH Zurich, Zurich, Switzerland, Frederic Nataf, University Pierre and Marie Curie, Paris, France. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (x, 238 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics ;v144 aIncludes bibliographical references and index.0 aPreface -- 1. Schwarz methods -- 2. Optimized Schwarz methods -- 3. Krylov methods -- 4. Coarse spaces -- 5. Theory of two-level additive Schwarz methods -- 6. Neumann-Neumann and FETI algorithms -- 7. Robust coarse spaces via generalized eigenproblems : The GenEO method -- 8. Parallel implementation of Schwarz methods.3 aThe purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present: all popular algorithms both at the PDE level and at the discrete level in terms of matrices, systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts, and a new coarse space construction (two-level method) that adapts to highly heterogeneous problems. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/21/2015. 0aDecomposition method. 0aDifferential equations, Partial. aParallel computing aIterative methods aDomain decomposition methods aScientific computing aHigh performance computing1 aJolivet, Pierre,d1988-eauthor.1 aNataf, Fredericc(Computer scientist),eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015027040z9781611974058 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197406503563nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500025002720820017002971000028003142450142003422640150004843000028006343360021006623370026006833380032007094900069007415040051008105050535008615200885013965380036022815380047023175880047023646500035024116500024024466500026024706500022024966530024025186530034025426530056025766530031026326530039026636530067027027100064027697760053028338300070028868560065029569781611973785SIAM20150928190106.0m eo d cr bn |||m|||a150920s2015 pau ob 001 0 eng d z 2015021902 a9781611973785 z9781611973778qprint50aCB86bSIAM a(CaBNVSL)thg00931600 a(OCoLC)922296359 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA321.5b.G56 2015eb04a515/.9832231 aGlowinski, R.,eauthor.10aVariational methods for the numerical solution of nonlinear elliptic problems /cRoland Glowinski, University of Houston, Houston, Texas. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (xvi, 429 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aCBMS-NSF regional conference series in applied mathematics ;v86 aIncludes bibliographical references and index.0 aPreface -- 1. On some variational problems in Hilbert spaces -- 2. Iterative methods in Hilbert spaces -- 3. Operator-splitting and alternating direction methods -- 4. Augmented Lagrangians and alternating direction methods of multipliers -- 5. Least-squares solution of linear and nonlinear problems in Hilbert spaces -- 6. Obstacle problems and Bingham flow application to control -- 7. - [nabla]2u = [lambda]u3 and other nonlinear eigenvalue problems -- 8. Eikonal equations -- 9. Fully nonlinear elliptic problems -- Epilogue.3 aVariational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 9/20/2015. 0aNonlinear functional analysis. 0aElliptic functions. 0aLagrangian functions. 0aEikonal equation. aVariational methods aFinite element approximations aAlternating direction methods of multipliers (ADMM) aOperator-splitting methods aFully nonlinear elliptic equations aLeast-squares and conjugate gradient methods in Hilbert spaces2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015021902z9781611973778 0aCBMS-NSF regional conference series in applied mathematics ;v86.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197378503937nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500023002720820016002951000030003112450214003412640150005553000026007053360021007313370026007523380032007784900069008105040051008795050610009305201301015405380036028415380047028775880047029246500028029716500034029996530027030336530008030606530011030686530009030796530022030886530016031107000029031267100064031557760053032198300070032728560065033429781611974041SIAM20150902190106.0m eo d cr bn |||m|||a150827s2015 pau ob 001 0 eng d z 2015022855 a9781611974041 z9781611974027qprint50aCB87bSIAM a(CaBNVSL)thg00931173 a(OCoLC)919539534 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA223b.F67 2015eb04a512.7/32231 aFornberg, Bengt,eauthor.12aA primer on radial basis functions with applications to the geosciences /cBengt Fornberg, University of Colorado, Boulder, Colorado, Natasha Flyer, National Center for Atmospheric Research, Boulder, Colorado. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (x, 221 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aCBMS-NSF regional conference series in applied mathematics ;v87 aIncludes bibliographical references and index.0 aPreface -- 1. Brief summary of finite difference methods -- 2. Brief summary of pseudospectral methods -- 3. Introduction to radial basis functions -- 4. Global RBFs for solving PDEs -- 5. RBF-generated FD (RBF-FD) methods -- 6. Global RBF applications to geo-modeling: spherical domains -- 7. RBF-FD applications to geo-modeling: spherical domains -- 8. RBF-FD applications to geo-modeling: limited-area domains -- Appendix A. Introduction to RBFs via cubic splines -- Appendix B. Spherical harmonics -- Appendix C. Some node distribution strategies -- Appendix D. Cartesian vector operators on a sphere.3 aAdapted from a series of lectures given by the authors, this monograph focuses on radial basis functions (RBFs), a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. This method applies to problems across a wide range of PDEs arising in fluid mechanics, wave motions, astro- and geosciences, mathematical biology, and other areas and has lately been shown to compete successfully against the very best previous approaches on some large benchmark problems. Using examples and heuristic explanations to create a practical and intuitive perspective, the authors address how, when, and why RBF-based methods work. The authors trace the algorithmic evolution of RBFs, starting with brief introductions to finite difference (FD) and pseudospectral (PS) methods and following a logical progression to global RBFs and then to RBF-generated FD (RBF-FD) methods. The RBF-FD method, conceived in 2000, has proven to be a leading candidate for numerical simulations in an increasingly wide range of applications, including seismic exploration for oil and gas, weather and climate modeling, and electromagnetics, among others. This is the first survey in book format of the RBF-FD methodology and is suitable as the text for a one-semester first-year graduate class. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 8/27/2015. 0aRadial basis functions. 0aGeologyxMathematical models. aRadial basis functions aRBF aRBF-FD aPDEs aMesh-free methods aGeosciences1 aFlyer, Natasha,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015022855z9781611974027 0aCBMS-NSF regional conference series in applied mathematics ;v87.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197404103233nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860400040002110500022002510820016002732450119002892640150004083000054005583360021006123370026006333380032006594900034006915040051007255050755007765200585015315380036021165380047021525880047021996500042022466500019022886500044023076500029023516530014023806530020023946530011024146530015024257000034024407000025024747100064024997760052025638300035026158560065026509781611971583SIAM20150507190106.0m eo d cr bn |||m|||a921210s1993 paua ob 001 0 eng z 92042080 a9781611971583 z9780898713060qprint50aOT36bSIAM a(CaBNVSL)thg00930030 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA497b.K6 1993eb04a511/.4222000aKnot insertion and deletion algorithms for B-spline curves and surfaces /cedited by Ronald N. Goldman, Tom Lyche. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1993] a1 PDF (xiii, 197 pages :billustrations ;c26 cm. atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aGeometric design publications aIncludes bibliographical references and index.0 aAn introduction to blossoming / Phillip J. Barry -- Algorithms for progressive curves : extending B-spline and blossoming techniques to the monomial, power, and Newton dual bases / Phillip J. Barry and Ronald N. Goldman -- Factored knot insertion / Phillip J. Barry and Ronald N. Goldman -- Knot insertion algorithms / Phillip J. Barry and Ronald N. Goldman -- Conversion between B-spline bases using the generalized Oslo algorithm / Tom Lyche, Knut Morken, and Kyrre Strom -- How much can the size of the B-spline coefficients be reduced by inserting one knot? / Tom Lyche and Knut Morken -- An envelope approach to a sketching editor for hierarchical free-form curve design and modification / Michael J. Banks, Elaine Cohen, and Timothy I. Mueller.3 aNew approaches to knot insertion and deletion are presented in this unique, detailed approach to understanding, analyzing, and rendering B-spline curves and surfaces. Computer scientists, mechanical engineers, and programmers and analysts involved in CAD and CAGD will find innovative, practical applications using the blossoming approach to knot insertion, factored knot insertion, and knot deletion, as well as comparisons of many knot insertion algorithms. This book also serves as an excellent reference guide for graduate students involved in computer aided geometric design. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 4/24/2015. 0aGeometrical drawingxData processing. 0aSpline theory. 0aKnot insertion and deletion algorithms. 0aBlossoming (Mathematics) aB-splines aKnot insertions aCurves aBlossoming1 aGoldman, Ron,d1947-eeditor.1 aLyche, Tom,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 92042080z9780898713060 0aGeometric design publications.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197158303446nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860400040002110500023002510820015002742450056002892640150003453000044004953360021005393370026005603380032005864900034006185000078006525000140007305040051008705051056009215200340019775380036023175380047023535880047024006500047024476500057024946530013025516530014025646530012025786530020025907000039026107100063026497100064027127760052027768300035028288560065028639781611971644SIAM20150507190106.0m eo d cr bn |||m|||a920319s1992 paua ob 001 0 eng z 92012065 a9781611971644 z9780898712827qprint50aOT30bSIAM a(CaBNVSL)thg00930029 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA631b.T66 1992eb04a516/.622000aTopics in surface modeling /cedited by Hans Hagen. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1992] a1 PDF (ix, 219 pages) :billustrations. atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aGeometric design publications a"Sponsored by SIAM Activity Group on Geometric Design"--Title page verso. a"Evolved from presentations given at the SIAM Conference on Geometric Design held in Tempe, Arizona, from November 6-10, 1989"--Page v. aIncludes bibliographical references and index.0 aAlgebraic methods -- Free-form blending : a technique for creating piecewise implicit surfaces / Joe Warren -- Surface fitting using implicit algebraic surface patches / Chandrajit L. Bajaj -- Functional splines for interpolation, approximation, blending of curves, surfaces and solids / Josef Hoschek and Erich Hartmann -- Variational surface design -- A local twist estimation / Gerald Farin and Hans Hagen -- Variational surface design / Hans Hagen and Paolo Santarelli -- Special applications -- Interactive techniques for visual design / Roger K.E. Andersson and Bjorn E.J. Dahlberg -- Exact conversion of a trimmed non-rational Bezier surface into composite or basic non-rational surfaces / A.E. Vries-Baayens -- A procedural feature-based approach for designing functional surfaces / James C. Cavendish and Samuel P. Marin -- Topological considerations in the transfinite interpolation of contour curves / Alan K. Jones -- Conditions and constructions for GC1 and GC2 continuity between adjacent integral Bezier surface patches / Peter Wassum.3 aContains recent ideas and results in three areas of growing importance in curve and surface design: algebraic methods, variational surface design, and some special applications. Leading researchers from throughout the world have contributed their latest work and provided several promising solutions to open issues in surface modeling. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 4/24/2015. 0aSurfacesxMathematical modelsvCongresses. 0aCurves on surfacesxMathematical modelsvCongresses. aSurfaces aB-splines aSplines aBezier surfaces1 aHagen, H.q(Hans),d1953-eeditor.2 aSIAM Activity Group on Geometric Design,esponsoring body.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 92012065z9780898712827 0aGeometric design publications.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197164402896nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860400040002110500023002510820017002741000033002912450106003242500018004302640149004483000028005973360021006253370026006463380032006724900042007045000070007465040051008165050136008675200825010035380036018285380047018645880047019116500021019586500020019796500029019996530019020286530021020476530025020686530021020936530027021147100064021417760053022058300043022588560065023019781611973884SIAM20150507190106.0m eo d cr bn |||m|||a150417r20151970pau ob 001 0 eng d z 2015008391 a9781611973884 z9781611973877qprint50aCL74bSIAM a(CaBNVSL)thg00930028 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402b.B68 2015eb04a515/.3542231 aBrockett, Roger W.,eauthor.10aFinite dimensional linear systems /cRoger W. Brockett, Harvard University, Cambridge, Massachusetts. aSIAM edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xvi, 244 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aClassics in applied mathematics ;v74 aOriginally published: New York : John Wiley and Sons, Inc., 1970. aIncludes bibliographical references and index.0 aPreface to the Classics edition -- Preface -- Linear differential equations -- Linear systems -- Least squares theory -- Stability.3 aOriginally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics; develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas; and contains a number of nontrivial examples and many exercises. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 4/17/2015. 0aSystem analysis. 0aLinear systems. 0aEngineering mathematics. aLinear systems aFeedback control aLeast squares theory aStability theory aDifferential equations2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015008391z9781611973877 0aClassics in applied mathematics ;v74.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197388403027nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280016001830350025001990350021002240400040002450500030002850820018003152450252003332640149005853000028007343360021007623370026007833380032008094900040008415040053008815050415009345200572013495380036019215380047019575880047020046500026020516500041020776530024021186530020021426530019021626530017021816530026021987000027022247000035022517100064022867760053023508300041024038560065024449781611973716SIAM20150507190106.0m eo d cr bn |||m|||a150219s2015 pau ob 001 0 eng d z 2014048797 a9781611973716qelectronic z9781611973709qprint50aOT140bSIAM a(CaBNVSL)thg00917001 a(OCoLC)903733556 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQH541.15.M34bM385 2015eb00a577.01/5122300aMathematics of planet Earth :bmathematicians reflect on how to discover, organize, and protect our planet /cedited by Hans G. Kaper, Georgetown University, Washington, DC, Christiane Rousseau, Universite de Montreal, Montreal, Quebec, Canada. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xii, 202 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and indexes.0 aPreface -- A planet to discover -- Planet Earth -- Ocean and atmosphere -- Weather and climate -- Beyond planet Earth -- A planet supporting life -- Biosphere -- Ecology and evolution -- A planet organized by humans -- Communication and representation -- Energy -- Economics and finance -- Human behavior -- A planet at risk -- Climate change -- Biological threats -- Predicting catastrophes and managing risk.3 aOur planet faces many challenges. In 2013, an international partnership of more than 140 scientific societies, research institutes, and organizations focused its attention on these challenges. This project was called Mathematics of Planet Earth and featured English- and French-language blogs, accessible to nonmathematicians, as part of its outreach activities. This book is based on more than 100 of the 270 English-language blog posts and focuses on four major themes: A Planet to Discover; A Planet Supporting Life; A Planet Organized by Humans; A Planet at Risk. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 2/19/2015. 0aEcologyxMathematics. 0aEnvironmental sciencesxMathematics. aApplied mathematics aClimate science aSustainability aPlanet Earth aMathematical modeling1 aKaper, H. G.,eeditor.1 aRousseau, Christiane,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014048797z9781611973709 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197371603026nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580280015001830350025001980350021002230400040002440500023002840820016003071000035003232450152003582640149005103000026006593360021006853370026007063380032007324900026007645040051007905050205008415200835010465380036018815380047019175880047019646500021020116500025020326500038020576500019020956500031021146530021021456530024021666530031021906530028022216530026022497100064022757760053023398300027023928560065024199781611973860SIAM20150507190106.0m eo d cr bn |||m|||a150219s2015 pau ob 001 0 eng d z 2014048798 a9781611973860qelectronic z9781611973853qprint50aSL02bSIAM a(CaBNVSL)thg00917000 a(OCoLC)903733343 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA322b.C64 2015eb00a515/.732231 aConstantine, Paul G.,eauthor.10aActive subspaces :bemerging ideas for dimension reduction in parameter studies /cPaul G. Constantine, Colorado School of Mines, Golden, Colorado. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (x, 100 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aSIAM spotlights ;v02 aIncludes bibliographical references and index.0 aPreface -- Quick start -- Parameterized models in physics and engineering -- Discover the active subspace -- Exploit the active subspace -- Active subspaces in action -- Summary and future directions.3 aScientists and engineers use computer simulations to study relationships between a model's input parameters and its outputs. However, thorough parameter studies are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable studies in these instances, the engineer may attempt to reduce the dimension of the model's input parameter space. Active subspaces are an emerging set of dimension reduction tools that identify important directions in the parameter space. This book describes techniques for discovering a model's active subspace and proposes methods for exploiting the reduced dimension to enable otherwise infeasible parameter studies. Readers will find: new ideas for dimension reduction; easy-to-implement algorithms; and several examples of active subspaces in action. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 2/19/2015. 0aFunction spaces. 0aFunctional analysis. 0aShift operators (Operator theory) 0aHilbert space. 0aLinear topological spaces. aActive subspaces aDimension reduction aUncertainty quantification aLarge-scale simulations aComputational science2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014048798z9781611973853 0aSIAM spotlights ;v02.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197386003524nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580200022001830280016002050350025002210350021002460400040002670500023003070820016003302450116003462640149004623000028006113360021006393370026006603380032006864900040007185040051007585050383008095201198011925300037023905380036024275380047024635880048025106500029025586530016025876530020026036530020026236530029026436530021026727000034026937000032027277100064027597760065028238300041028888560065029299781611973822SIAM20141216190106.0m eo d cr bn |||m|||a141214s2015 pau ob 001 0 eng d z 2014035698 a9781611973822qelectronic z9781611973815qprint z1611973813qprint50aOT141bSIAM a(CaBNVSL)thg00915086 a(OCoLC)898154756 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA379b.U55 2015eb04a515/.3522300aUnified transform for boundary value problems :bapplications and advances /cedited by A.S. Fokas, B. Pelloni. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xii, 293 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- Introduction -- Theoretical results -- Evolution problems : linear -- Evolution problems : nonlinear -- Elliptic problems : linear -- Elliptic problems : nonlinear -- Between theory and applications -- Overview of variational formulations for linear elliptic PDEs -- Applications -- Numerical methods for elliptic problems -- Numerical methods for evolution problems.3 aThis book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts: Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. Novel explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 12/14/2014. 0aBoundary value problems. aLinear PDEs aIntegrable PDEs aGlobal relation aDirichlet to Neumann map aSpectral methods1 aFokas, A. S.,d1952-eeditor.1 aPelloni, Beatrice,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014035698z1611973813z9781611973815 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197382204058nam 2200589 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580200022001830280015002050350025002200350021002450400040002660500025003060820017003312450113003482640149004613000028006103360021006383370026006593380032006854900036007175040051007535050854008045201051016585300037027095380036027465380047027825880048028296500040028776500033029176500021029506500031029716530018030026530042030206530010030626530016030726530024030887000036031127000031031487000031031797000027032107100064032377760065033018300037033668560065034039781611973693SIAM20141216190106.0m eo d cr bn |||m|||a141214s2015 pau ob 001 0 eng d z 2014035425 a9781611973693qelectronic z9781611973686qprint z1611973686qprint50aMO21bSIAM a(CaBNVSL)thg00915085 a(OCoLC)898154827 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aTN879.5b.E93 2015eb04a665.7/4422300aEvaluating gas network capacities /cedited by Thorsten Koch, Benjamin Hiller, Marc E. Pfetsch, Lars Schewe. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xvi, 376 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 aForeword -- Preface -- Fundamentals -- Introduction -- Physical and technical fundamentals of gas networks -- Regulatory rules for gas markets in Germany and other European countries -- State of the art in evaluating gas network capacities -- Validation of nominations -- Mathematical optimization for evaluating gas network capacities -- The MILP-relaxation approach -- The specialized MINLP approach -- The reduced NLP heuristic -- An MPEC based heuristic -- The precise NLP model -- What does "feasible" mean? -- Computational results for validation of nominations -- Verification of booked capacities -- Empirical observations and statistical analysis of gas demand data -- Methods for verifying booked capacities -- Perspectives -- Appendix. Background on gas market regulation -- Acronyms -- Glossary -- Regulation and gas business literature.3 aThis book addresses a seemingly simple question: Can a certain amount of gas be transported through a pipeline network? The question is difficult, however, when asked in relation to a meshed nationwide gas transportation network and when taking into account the technical details and discrete decisions, as well as regulations, contracts, and varying demands, involved. This book provides an introduction to the field of gas transportation planning and discusses in detail the advantages and disadvantages of several mathematical models that address gas transport within the context of its technical and regulatory framework, shows how to solve the models using sophisticated mathematical optimization algorithms, and includes examples of large-scale applications of mathematical optimization to this real-world industrial problem. Readers will also find a glossary of gas transport terms, tables listing the physical and technical quantities and constants used throughout the book, and a reference list of regulation and gas business literature. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 12/14/2014. 0aGas pipelinesxMathematical models. 0aGasesxTransport properties. 0aSystem analysis. 0aMathematical optimization. aGas transport aMixed integer non-linear optimization aMINLP aApplication aAperations research1 aKoch, Thorsten,d1967-eeditor.1 aHiller, Benjamin,eeditor.1 aPfetsch, Marc E.,eeditor.1 aSchewe, Lars,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014035425z1611973686z9781611973686 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197369302852nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580200022001830280015002050350025002200350021002450400040002660500028003060820019003341000027003532450143003802640149005233000029006723360021007013370026007223380032007484900028007805040051008085050406008595200475012655300037017405380036017775380047018135880048018606500035019086500029019436530018019726530021019906530021020116530015020326530024020477100064020717760065021358300057022008560065022579781611973808SIAM20141120190106.0m eo d cr bn |||m|||a141111s2015 pau ob 001 0 eng d z 2014035243 a9781611973808qelectronic z9781611973792qprint z1611973791qprint50aMN01bSIAM a(CaBNVSL)thg00913725 a(OCoLC)896212602 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC760.4.M37bH33 2015eb04a538/.701512231 aHaber, Eldad,eauthor.10aComputational methods in geophysical electromagnetics /cEldad Haber, University of British Columbia, Vancouver, British Columbia, Canada. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (viii, 143 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematics in industry aIncludes bibliographical references and index.0 aPreface -- Maxwell's equations and their geophysical applications -- The finite volume method in 1D and its application to Maxwell's equations -- Finite volume discretization in 3D -- Discretization of Maxwell's equations -- Sensitivity calculation -- Data fitting, regularization, and inversion -- Large scale problems and problems with many sources -- Inversion in practice -- Bibliography -- Index.3 aThis monograph provides a framework for students and practitioners who are working on the solution of electromagnetic imaging in geophysics. Bridging the gap between theory and practical applied material (for example, inverse and forward problems), it provides a simple explanation of finite volume discretization, basic concepts in solving inverse problems through optimization, a summary of applied electromagnetics methods, and MATLAB code for efficient computation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/11/2014. 0aElectromagnetismxMathematics. 0aGeophysicsxMathematics. aComputational aElectromagnetics aInverse problems aGeophysics aMaxwell's equations2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014035243z1611973791z9781611973792 0aMathematics in industry (Philadelphia, Pennsylvania)403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197380804799nam 2200601 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580200022001830280015002050350025002200350021002450400040002660500024003060820016003301000034003462400054003802450250004342500020006842640149007043000029008533360021008823370026009033380032009294900035009615000075009965040051010715051095011225201364022175300037035815380036036185380047036545880048037016500023037496500024037726500015037966500017038116530010038286530024038386530012038626530030038746530022039047000039039267100066039657760065040318300036040968560065041329781611973631SIAM20141120190106.0m eo d cr bn |||m|||a141111s2015 pau ob 001 0 eng d z 2014029503 a9781611973631qelectronic z9781611973624qprint z1611973627qprint50aDC27bSIAM a(CaBNVSL)thg00913724 a(OCoLC)896212556 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aTJ213b.M485 2015eb04a629.8/32231 aMichiels, W.q(Wim),eauthor.10aStability and stabilization of time-delay systems10aStability, control, and computation for time-delay systems :ban eigenvalue-based approach /cWim Michiels, Katholieke Universiteit Leuven, Heverlee, Belgium, Silviu-Iulian Niculescu, Laboratoire des Signaux et Systemes, Gif-sur-Yvette, France. aSecond edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xxiv, 435 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aAdvances in design and control aRevised edition of: Stability and stabilization of time-delay systems. aIncludes bibliographical references and index.0 aPreface to the second edition -- Preface to the first edition -- Stability analysis of linear time-delay systems -- Spectral properties of linear time-delay systems -- Computation of characteristic roots -- Pseudospectra and robust stability analysis -- Computation of H2 and H[infinity] norms -- Computation of stability regions in parameter spaces -- Stability regions in delay-parameter spaces -- Stabilization and robust fixed-order control -- Stabilization using a direct Eigenvalue optimization approach -- Stabilizability with delayed feedback : a numerical case study -- Optimization of H[infinity] norms -- Applications -- Output feedback stabilization using delays as control parameters -- Smith predictor for stable systems : delay sensitivity analysis -- Controlling instable systems using finite spectrum assignment -- Congestion control algorithms in networks -- Consensus problems with distributed delays, with traffic flow applications -- Synchronization of delay-coupled oscillators -- Stability analysis of delay models in biosciences -- Appendix -- Bibliography -- Index.3 aTime delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems. Make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book's focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/11/2014. 0aAutomatic control. 0aTime delay systems. 0aStability. 0aEigenvalues. aDelay aEigenvalue analysis aControl aComputational mathematics aDynamical systems1 aNiculescu, Silviu-Iulian,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.0.08iPrint version:w(DLC) 2014029503z1611973627z9781611973624 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197363103747nam 2200577 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580200022001830280015002050350025002200350021002450400040002660500024003060820015003301300028003452450197003732640149005703000030007193360021007493370026007703380032007964900036008285040051008645050879009155200636017945300037024305380036024675380047025035880048025506500038025986500049026366500039026856500050027246530016027746530031027906530017028216530024028386530013028627000032028757000031029077100064029387760065030028300037030678560065031049781611973679SIAM20141120190106.0m eo d cr bn |||m|||a141111s2015 pau ob 001 0 eng d z 2014035318 a9781611973679qelectronic z9781611973662zprint z161197366Xzprint50aMO20bSIAM a(CaBNVSL)thg00913723 a(OCoLC)896212241 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aT57.6b.A727 2015eb04a511/.52230 aArc routing (Corberan)10aArc routing :bproblems, methods, and applications /cedited by Angel Corberan, University of Valencia, Burjassot, Valencia, Spain, Gilbert Laporte, HEC Montreal, Quebec, Montreal, Canada. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xviii, 392 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 aPreface -- A historical perspective on arc routing -- Arc routing problems with a single vehicle -- The complexity of arc routing problems -- The undirected Chinese postman problem -- The Chinese postman problem on directed, mixed, and windy graphs -- The undirected rural postman problem -- The rural postman problem on directed, mixed, and windy graphs -- Arc routing problems with several vehicles -- The CARP : heuristics -- The CARP : combinatorial lower bounds -- The capacitated arc routing problem : exact algorithms -- Variants of the capacitated arc routing problem -- Arc routing problems with min-max objectives -- Arc routing problems with profits -- Applications -- Route optimization for meter reading and salt spreading -- Advances in vehicle routing for snow plowing -- Routing in waste collection -- Arc routing applications in newspaper delivery -- Index.3 aThis book provides a thorough and up-to-date discussion of arc routing by world-renowned researchers. Organized by problem type, the book offers a rigorous treatment of complexity issues, models, algorithms, and applications. Arc routing : problems, methods, and applications opens with a historical perspective of the field and is followed by three sections that cover complexity and the Chinese Postman and the Rural Postman problems, the capacitated arc routing problem and routing problems with min-max and profit maximization objectives, and important applications, including meter reading, snow removal, and waste collection. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/11/2014. 0aOperations researchxMathematics. 0aPhysical distribution of goodsxMathematics. 0aTraffic flowxMathematical models. 0aTheory of distributions (Functional analysis) aArc routing aCombinatorial optimization aGraph theory aInteger programming aNetworks1 aCorberan, Angel,eeditor.1 aLaporte, Gilbert,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014035318z161197366Xz9781611973662 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197367904204nam 2200577 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580200022001830280015002050350025002200350021002450400040002660500025003060820020003311300029003512450176003802500020005562640149005763000030007253360021007553370026007763380032008024900036008345000053008705040051009235051011009745201008019855300037029935380036030305380047030665880048031136500042031616530020032036530014032236530031032376530025032686530021032936530027033147000026033417000028033677100064033957760065034598300037035248560065035619781611973594SIAM20141120190106.0m eo d cr bn |||m|||a141111s2015 pau ob 001 0 eng d z 2014029491 a9781611973594qelectronic z9781611973587qprint z1611973589qprint50aMO18bSIAM a(CaBNVSL)thg00913722 a(OCoLC)896212133 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.6b.V44 2015eb04a388.3/102852230 aVehicle routing problem.10aVehicle routing :bproblems, methods, and applications /cedited by Paolo Toth, University of Bologna, Bologna, Italy, Daniele Vigo, University of Bologna, Bologna, Italy. aSecond edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xviii, 463 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization aRevision of: The vehicle routing problem. 2002. aIncludes bibliographical references and index.0 aPreface to the second edition -- Preface to the first edition -- The family of vehicle routing problems -- The capacitated vehicle routing problem -- Classical exact algorithms for the capacitated vehicle routing problem -- New exact algorithms for the capacitated vehicle routing problem -- Heuristics for the vehicle routing problem -- Important variants of the vehicle routing problem -- The vehicle routing problem with time windows -- Pickup-and-delivery problems for goods transportation -- Pickup-and-delivery problems for people transportation -- Stochastic vehicle routing problems -- Four variants of the vehicle routing problem -- Vehicle routing problems with profits -- Dynamic vehicle routing problems -- Applications of the vehicle routing problem -- Software tools and emerging technologies for vehicle routing and intermodal transportation -- Ship routing and scheduling in industrial and tramp shipping -- Vehicle routing applications in disaster relief -- Green vehicle routing -- Index.3 aVehicle routing problems, among the most studied in combinatorial optimization, arise in many practical contexts (freight distribution and collection, transportation, garbage collection, newspaper delivery, etc.). Operations researchers have made significant developments in the algorithms for their solution, and Vehicle Routing: Problems, Methods, and Applications, Second Edition reflects these advances. The text of the new edition is either completely new or significantly revised and provides extensive and complete state-of-the-art coverage of vehicle routing by those who have done most of the innovative research in the area; emphasizes methodology related to specific classes of vehicle routing problems and, since vehicle routing is used as a benchmark for all new solution techniques, contains a complete overview of current solutions to combinatorial optimization problems; includes several chapters on important and emerging applications, such as disaster relief and green vehicle routing. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/11/2014. 0aTransportation problems (Programming) aVehicle routing aLogistics aCombinatorial optimization aHeuristic algortihms aExact algorithms aTransportation science1 aToth, Paolo,eeditor.1 aVigo, Daniele,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014029491z1611973589z9781611973587 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197359403852nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200030001280200025001580200022001830280015002050350025002200350021002450400040002660500023003060820018003291000028003472450174003752640149005493000026006983360021007243370026007453380032007714900026008035040051008295050718008805201029015985300037026275380036026645380047027005880048027476500050027956530057028456530071029026530037029736530030030106530029030407000032030697100064031017760065031658300027032308560065032579781611973846SIAM20141120190106.0m eo d cr bn |||m|||a141111s2015 pau ob 001 0 eng d z 2014035238 a9781611973846qelectronic z9781611973839qprint z161197383Xqprint50aSL01bSIAM a(CaBNVSL)thg00913721 a(OCoLC)896212102 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA379b.M34 2015eb04a515/.35332231 aMalek, Josef,eauthor.10aPreconditioning and the conjugate gradient method in the context of solving PDEs /cJosef Malek, Zdenek Strakos, Charles University in Prague, Prague, Czech Republic. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (x, 104 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aSIAM spotlights ;v01 aIncludes bibliographical references and index.0 aPreface -- Introduction -- Linear elliptic partial differential equations -- Elements of functional analysis -- Riesz map and operator preconditioning -- Conjugate gradient method in Hilbert spaces -- Finite-dimensional Hilbert spaces and the matrix formulation of the conjugate gradient method -- Comments on the Galerkin discretization -- Preconditioning of the algebraic system as transformation of the discretization basis -- Fundamental theorem on discretization -- Local and global information in discretization and in computation -- Limits of the condition number-based descriptions -- Inexact computations, a posteriori error analysis and stopping criteria -- Summary and outlook -- Bibliography -- Index.3 aPreconditioning and the Conjugate Gradient Method in the Context of Solving PDEs is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem. The book's central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together. This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/11/2014. 0aBoundary value problemsxNumerical solutions. aNumerical solution of partial differential equations aOperator and algebraic preconditioning in link with discretization aMatching moments model reduction aConjugate gradient method aComputational efficiency1 aStrakos, Zdenek,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014035238z161197383Xz9781611973839 0aSIAM spotlights ;v01.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197384602863nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200025001620200022001870280015002090350025002240350021002490400040002700500027003100820014003371000025003512450169003762640149005453000026006943360021007203370026007413380032007674900036007995040051008355050331008865200506012175300037017235380036017605380047017965880047018436300012018906500031019026500024019336530027019576530020019846530035020046530026020396530025020657100064020907760065021548300037022198560065022569781611973655SIAM20140919190106.0m eo d cr bn |||m|||a140910s2014 pau ob 001 0 eng d z 2014029493 a9781611973655qelectronic bk. z9781611973648qprint z1611973643qprint50aMO19bSIAM a(CaBNVSL)thg00913503 a(OCoLC)890593887 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.5b.B4224 2014eb04a519.62231 aBeck, Amir,eauthor.10aIntroduction to nonlinear optimization :btheory, algorithms, and applications with MATLAB /cAmir Beck, Technion-Israel Institute of Technology, Kfar Saba, Israel. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (x, 282 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 aMathematical preliminaries -- Optimality conditions for unconstrained optimization -- Least squares -- The gradient method -- Newton's method -- Convex sets -- Convex functions -- Convex optimization -- Optimization over a convex set -- Optimality conditions for linearly constrained problems -- The KKT conditions -- Duality.3 aThis book provides the foundations of the theory of nonlinear optimization as well as some related algorithms and presents a variety of applications from diverse areas of applied sciences. The author combines three pillars of optimization-theoretical and algorithmic foundation, familiarity with various applications, and the ability to apply the theory and algorithms on actual problems--and rigorously and gradually builds the connection between theory, algorithms, applications, and implementation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 9/10/2014.00aMATLAB. 0aMathematical optimization. 0aNonlinear theories. aNonlinear optimization aConvex analysis aSmooth optimization algorithms aOptimality conditions aScientific computing2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014029493z1611973643z9781611973648 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197365502908nam 2200517 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250350021002500400040002710500023003110820018003341000044003522450115003962640149005113000029006603360021006893370026007103380032007364900042007685040051008105050177008615200762010385300037018005380036018375380047018735880047019206500034019676500038020016530034020396530022020736530034020956530024021297100064021537760065022178300043022828560065023259781611973549SIAM20140725190106.0m eo d cr bn |||m|||a140722s2014 pau ob 001 0 eng d z 2014016721 a9781611973549qelectronic book z9781611973532qprint z1611973538qprint50aMM19bSIAM a(CaBNVSL)thg00911502 a(OCoLC)884587263 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC874b.D73 2014eb04a551.501/12231 aDrake, John B.q(John Bryant),eauthor.10aClimate modeling for scientists and engineers /cJohn B. Drake, University of Tennessee, Knoxville, Tennessee. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (viii, 165 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematical modeling and computation aIncludes bibliographical references and index.0 aPreface -- Earth observation -- Geophysical flow -- Numerical methods of climate modeling -- Climate simulation -- Climate analysis -- Conclusions -- Bibliography -- Index.3 aClimate modeling and simulation teach us about past, present, and future conditions of life on earth and help us understand observations about the changing atmosphere and ocean and terrestrial ecology. Focusing on high-end modeling and simulation of earth's climate, Climate Modeling for Scientists and Engineers presents observations about the general circulations of the earth and the partial differential equations used to model the dynamics of weather and climate, covers numerical methods for geophysical flows in more detail than many other texts, discusses parallel algorithms and the role of high-performance computing used in the simulation of weather and climate, and provides supplemental lectures and MATLAB exercises on an associated Web page. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 7/22/2014. 0aClimatologyxData processing. 0aClimatologyxMathematical models. aClimate modeling and analysis aNumerical methods aGeophysical flow and dynamics aParallel algorithms2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014016721z1611973538z9781611973532 0aMathematical modeling and computation.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197354903967nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250350021002500400040002710500023003110820020003341000039003542450105003932640149004983000028006473360021006753370026006963380032007224900055007545040051008095050873008605201008017335300037027415380036027785380047028145880047028616500030029086500034029386500034029726500034030066530029030406530027030696530041030966530020031376530019031577100064031767760065032408300043033058560065033489781611973501SIAM20140725190106.0m eo d cr bn |||m|||a140722s2014 pau ob s001 0 eng d z 2014012614 a9781611973501qelectronic book z9781611973495qprint z161197349Xqprint50aCS13bSIAM a(CaBNVSL)thg00911501 a(OCoLC)884587279 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQ183.9bR67 2014eb04a502.85/51332231 aRostamian, Rouben,d1949-eauthor.10aProgramming projects in C for students of engineering, science, and mathematics /cRouben Rostamian. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xvi, 393 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aComputational science and engineering series ;v13 aIncludes bibliographical references and index.0 aInterdependencies -- Preface -- A common background -- Introduction -- File organization -- Streams and the Unix shell -- Pointers and arrays -- From strings to numbers -- Make -- Projects -- Allocating memory: xmalloc () -- Dynamic memory allocation for vectors and matrices: array.h -- Reading lines: fetch_line () -- Generating random numbers -- Storing sparse matrices -- Sparse systems: The UMFPACK library -- Haar wavelets -- Image I/O -- Image analysis -- Linked lists -- The evolution of species -- The Nelder-Mead downhill simplex -- Trusses -- Finite difference schemes for the heat equation in one dimension -- The porous medium equation -- Gaussian quadrature -- Triangulation with the Triangle library -- Integration on triangles -- Finite elements -- Finite elements: Nonzero boundary data -- Appendix A. Barycentric coordinates -- Bibliography -- Index.3 aLike a pianist who practices from a book of etudes, readers of Programming Projects in C for Students of Engineering, Science, and Mathematics will learn by doing. Written as a tutorial on how to think about, organize, and implement programs in scientific computing, this book achieves its goal through an eclectic and wide-ranging collection of projects. Each project presents a problem and an algorithm for solving it. The reader is guided through implementing the algorithm in C and compiling and testing the results. It is not necessary to carry out the projects in sequential order. The projects contain suggested algorithms and partially completed programs for implementing them to enable the reader to exercise and develop skills in scientific computing; require only a working knowledge of undergraduate multivariable calculus, differential equations, and linear algebra; and are written in platform-independent standard C; the Unix command-line is used to illustrate compilation and execution. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 7/22/2014. 0aSciencexData processing. 0aEngineeringxData processing. 0aMathematicsxData processing. 0aC (Computer program language) aComputational algorithms aC programming projects aProgram organization and development aFinite elements aImage analysis2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014012614z161197349Xz9781611973495 0aComputational science and engineering.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197350104021nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280016002100350025002260350021002510400040002720500025003120820016003371000050003532450199004032640149006023000030007513360021007813370026008023380032008284900040008605040051009005051501009515200410024525300037028625380036028995380047029355880047029826500030030296500027030596500028030866530016031146530026031306530029031566530022031856530037032077100064032447760065033088300041033738560065034149781611973525SIAM20140725190106.0m eo d cr bn |||m|||a140722s2014 pau ob 001 0 eng d z 2014017078 a9781611973525qelectronic book z9781611973518qprint z1611973511qprint50aOT139bSIAM a(CaBNVSL)thg00911500 a(OCoLC)884587149 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA353.T7bB69 2014eb04a515/.222231 aBoyd, John P.q(John Philip),d1951-eauthor.10aSolving transcendental equations :bthe Chebyshev polynomial proxy and other numerical rootfinders, perturbation series, and oracles /cJohn P. Boyd, University of Michigan, Ann Arbor, Michigan. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xviii, 462 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- Notation -- Introduction and overview -- Introduction : key themes in rootfinding -- The Chebyshev-Proxy rootfinder and its generalizations -- The Chebyshev-proxy/companion matrix rootfinder -- Adaptive Chebyshev interpolation -- Adaptive Fourier interpolation and rootfinding -- Complex zeros : interpolation on a disk, the Delves-Lyness algorithm, and contour integrals -- Fundamentals : iterations, bifurcation, and continuation -- Newton iteration and its kin -- Bifurcation theory -- Continuation in a parameter -- Polynomials -- Polynomial equations and the irony of Galois theory -- The quadratic equation -- Roots of a cubic polynomial -- Roots of a quartic polynomial -- Analytical methods -- Methods for explicit solutions -- Regular perturbation methods for roots -- Singular perturbation methods : fractional powers, logarithms, and exponential asymptotics -- Classics, special functions, inverses, and oracles -- Classic methods for solving one equation in one unknown -- Special algorithms for special functions -- Inverse functions of one unknown -- Oracles : theorems and algorithms for determining the existence, nonexistence, and number of zeros -- Bivariate systems -- Two equations in two unknowns -- Challenges -- Past and future -- Appendix A. Companion matrices -- Appendix B. Chebyshev interpolation and quadrature -- Appendix C. Marching triangles -- Appendix D.: Imbricate-Fourier series and the Poisson summation theorem -- Glossary -- Bibliography -- Index.3 aTranscendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 7/22/2014. 0aTranscendental functions. 0aChebyshev polynomials. 0aTranscendental numbers. aRootfinding aChebyshev polynomials aTranscendental equations aNonlinear algebra aChebyshev Proxy Rootfinder (CPR)2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014017078z1611973511z9781611973518 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197352503492nam 2200613 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250350021002500400040002710500025003110820017003361000026003532450278003792500020006572640149006773000028008263360021008543370026008753380032009014900042009335040051009755050798010265200288018245300037021125380036021495380047021855880047022326500031022796500021023106500028023316500020023596500036023796500037024156530025024526530027024776530017025046530019025216530035025407000033025757000033026087100064026417760065027058300043027708560065028139781611973488SIAM20140725190106.0m eo d cr bn |||m|||a140722s2014 pau ob 001 0 eng d z 2014012612 a9781611973488qelectronic book z9781611973471qprint z1611973473qprint50aMO17bSIAM a(CaBNVSL)thg00911499 a(OCoLC)884587298 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402.5b.A84 2014eb04a515/.7822231 aAttouch, H.,eauthor.10aVariational analysis in Sobolev and BV spaces :bapplications to PDEs and optimization /cHedy Attouch, Universite Montpellier II, Montpellier, France, Giuseppe Buttazzo, Universita di Pisa, Pisa, Italy, Gerard Michaille, Universite Montpellier II, Montpellier, France. aSecond edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xii, 793 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMOS-SIAM series on optimization ;v17 aIncludes bibliographical references and index.0 aPreface to the second edition -- Preface to the first edition -- Introduction -- Basic variational principles -- Weak solution methods in variational analysis -- Abstract variational principles -- Complements on measure theory -- Sobolev spaces -- Variational problems : some classical examples -- The finite element method -- Spectral analysis of the laplacian -- Convex duality and optimization -- Advanced variational analysis -- Spaces BV and SBV -- Relaxation in Sobolev, BV, and young measures spaces -- [gamma]-convergence and applications -- Integral functionals of the calculus of variations -- Applications in mechanics and computer vision -- Variational problems with a lack of coercivity -- An introduction to shape optimization problems -- Gradient flows -- Bibliography -- Index.3 aThis volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 7/22/2014. 0aMathematical optimization. 0aFunction spaces. 0aCalculus of variations. 0aSobolev spaces. 0aFunctions of bounded variation. 0aDifferential equations, Partial. aVariational analysis aCalculus of variations aOptimization aSobolev spaces aPartial differential equations1 aButtazzo, Giuseppe,eauthor.1 aMichaille, Gerard,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014012612z1611973473z9781611973471 0aMOS-SIAM series on optimization ;v17.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197348803471nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200025001620200022001870280015002090350025002240350021002490400040002700500023003100820020003331000037003532450131003902640149005213000028006703360021006983370026007193380032007454900035007775040051008125050404008635060072012675200983013395300037023225380036023595380047023955880047024426500026024896500030025156500014025456530022025596530023025816530033026046530022026377000028026597100064026877760065027518300036028168560065028529781611973341SIAM20140227085849.0m eo d cr bn |||m|||a140220s2014 pau ob 001 0 eng d z 2013048267 a9781611973341qelectronic bk. z9781611973334qprint z1611973333qprint50aDC26bSIAM a(CaBNVSL)thg00910450 a(OCoLC)871171715 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA280b.N36 2014eb04a620.001/1752231 aNarang-Siddarth, Anshu,eauthor.10aNonlinear time scale systems in standard and nonstandard forms :banalysis and control /cAnshu Narang-Siddarth, John Valasek. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xvi, 219 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aAdvances in design and control aIncludes bibliographical references and index.0 aPreface -- Introduction -- Analyzing time scale systems -- Two stage designs -- Sequential designs -- Sequential designs for multiple time scale systems -- Some applications to control of slightly nonminimum phase systems -- Simultaneously tracking slow and fast trajectories -- Appendix A. Tools for dimensional analysis -- Appendix B. Nonlinear F/A-18 HARV aircraft model -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book introduces key concepts for systematically controlling engineering systems that possess interacting phenomena occurring at widely different speeds. The aim is to present the reader with control techniques that extend the benefits of model reduction of singular perturbation theory to a larger class of nonlinear dynamical systems. New results and relevant background are presented through insightful examples that cover a wide range of applications from different branches of engineering. This book is unique because it: presents a new perspective on existing control methods and thus broadens their application to a larger class of nonlinear dynamical systems; discusses general rather than problem-specific developments to certain applications or disciplines in order to provide control engineers with useful analytical tools ; addresses new control problems using singular perturbation methods, including closed-form results for control of nonminimum phase systems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 2/20/2014. 0aTime-series analysis. 0aNonlinear control theory. 0aDynamics. aNonlinear control aTime scale methods aSingular perturbation theory aTwo stage designs1 aValasek, John,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2013048267z1611973333z9781611973334 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197334103239nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200025001620200022001870280015002090350025002240350021002490400040002700500023003100820014003331000042003472450104003892640149004933000028006423360021006703370026006913380032007174900037007495040053007865050527008395060072013665200612014385300037020505380036020875380047021235880047021706500030022176500031022476500026022786530017023046530022023216530015023436530026023586530017023847000046024017100064024477760065025118300032025768560065026089781611973365SIAM20140227085848.0m eo d cr bn |||m|||a140220s2014 pau ob 001 0 eng d z 2013048382 a9781611973365qelectronic bk. z9781611973358qprint z161197335Xqprint50aFA10bSIAM a(CaBNVSL)thg00910449 a(OCoLC)871171824 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA323b.B57 2014eb04a519.62231 aBirgin, E. G.q(Ernesto G.),eauthor.10aPractical augmented lagrangian methods for constrained optimization /cE.G. Birgin, J.M. Martinez. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xiv, 220 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aFundamentals of algorithms ;v10 aIncludes bibliographical references and indexes.0 aPreface -- Nomenclature -- Introduction -- Practical motivations -- Optimality conditions -- Model augmented lagrangian algorithm -- Global minimization approach -- General affordable algorithms -- Boundedness of the penalty parameters -- Solving unconstrained subproblems -- Solving constrained subproblems -- First approach to algencan -- Adequate choice of subroutines -- Making a good choice of algorithmic options and parameters -- Practical examples -- Final remarks -- Bibliography -- Author index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book focuses on Augmented Lagrangian techniques for solving practical constrained optimization problems. The authors: rigorously delineate mathematical convergence theory based on sequential optimality conditions and novel constraint qualifications; orient the book to practitioners by giving priority to results that provide insight on the practical behavior of algorithms and by providing geometrical and algorithmic interpretations of every mathematical result; and fully describe a freely available computational package for constrained optimization and illustrate its usefulness with applications. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 2/20/2014. 0aConstrained optimization. 0aMathematical optimization. 0aLagrangian functions. aOptimization aNumerical methods aAlgorithms aAugmented lagrangians aApplications1 aMartinez, J. M.q(Jose Mario),eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2013048382z161197335Xz9781611973358 0aFundamentals of algorithms.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197336503579nam 2200589 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620200015001800280015001950350025002100350022002350400040002570500027002970600024003240820019003481000037003672450063004042640149004673000028006163360021006443370026006653380032006914900069007235040051007925050503008435060072013465200896014185300037023145380036023515380047023875880048024346500022024826500029025046500033025336500035025666500027026016500021026286530020026496530015026696530020026846530021027047100064027257760065027898300070028548560065029249781611973297SIAM20131124122306.0m eo d cr bn |||m|||a131114s2014 pau ob 001 0 eng d z 2013038338 a9781611973297qelectronic bk. z9781611973280 z161197328750aCB85bSIAM a(CaBNVSL)thg00909135 a(OCoLC)0863863324 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aRC78.7.U4bK837 2014eb 4aWN 206bK837 2014eb04a616.07/5432231 aKuchment, Peter,d1949-eauthor.14aThe radon transform and medical imaging /cPeter Kuchment. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xvi, 244 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aCBMS-NSF regional conference series in applied mathematics ;v85 aIncludes bibliographical references and index.0 aIntroduction -- Tomography and radon transform -- Emission tomography -- Microlocal analysis -- More about 3D radon and X-ray transforms -- Numerical methods -- Various other modalities -- Thermoacoustics -- Ultrasound modulation -- Hybrid miscellany -- Inverse problems and internal information -- Appendix A. Notations -- Appendix B. Fourier analysis -- Appendix C. Geometric rays, trapping, energy decay -- Appendix D. Fredholm operator functions -- Appendix E. Books and survey recommendations.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/14/2013. 0aRadon transforms. 0aTomographyxMathematics. 0aImaging systems in medicine.12aTomographyxmethodsvLectures.22aMathematicsvLectures.22aRadonvLectures. aRadon transform aTomography aMedical imaging aInverse problems2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611973287z9781611973280w(DLC) 2013038338 0aCBMS-NSF regional conference series in applied mathematics ;v85.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197329703593nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280015001800350025001950350022002200400040002420500023002820820016003051000029003212450095003502640149004453000027005943360021006213370026006423380032006684900042007005040051007425050613007935060072014065200905014785300037023835380036024205380047024565880048025036500014025516500018025656500020025836500031026036530022026346530021026566530015026776530032026926530025027247000041027497100064027907760065028548300043029198560065029629781611972641SIAM20131031143355.0m eo d cr bn |||m|||a131029s2013 pau ob 001 0 eng d z 2013027536 a9781611972641qelectronic bk. z978161197263450aMM18bSIAM a(CaBNVSL)thg00908966 a(OCoLC)0861789642 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA845b.B65 2013eb04a515/.392231 aBollt, Erik M.,eauthor.10aApplied and computational measurable dynamics /cErik M. Bollt, Naratip Santitissadeekorn. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (xiv, 368 pages) atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aMathematical modeling and computation aIncludes bibliographical references and index.0 aPreface -- Dynamical systems, ensembles, and transfer operators -- Dynamical systems terminology and definitions -- Frobenius-Perron operator and infintesimal generator -- Graph theoretic methods and Markov models of dynamical transport -- Graph partition methods and their relationship to transport in dynamical systems -- The topological dynamics perspective of symbol dynamics -- Transport mechanism, lobe dynamics, flux rates, and escape -- Finite time Lyapunov exponents -- Information theory in dynamical systems -- Appendix A. Computation, codes, and computational complexity -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aUntil recently, measurable dynamics has been held as a highly theoretcal mathematical topic with few generally known obvious links for practitioners in areas of applied mathematics. However, the advent of high-speed computers, rapidly developing algorithms, and new numerical methods has allowed for a tremendous amount of progress and sophistication in efforts to represent the notion of a transfer operator discretely but to high resolution. This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems. The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real-world problems that are simply beyond the reach of traditional methods. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/29/2013. 0aDynamics. 0aGraph theory. 0aErgodic theory. 0aDynamicsxData processing. aDynamical systems aTransport theory aFluid flow aApplied measurable dynamics aTopological dynamics1 aSantitissadeekorn, Naratip,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611972639z9781611972634w(DLC) 2013027536 0aMathematical modeling and computation.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197264103339nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280015001800350025001950350022002200400040002420500023002820820016003051000034003212450134003552640149004893000028006383360021006663370026006873380032007134900042007455000059007875040051008465050524008975060072014215200674014935300037021675380036022045380047022405880048022876500049023356500026023846530027024106530017024376530020024546530026024746530022025006530026025227100064025487760065026128300043026778560065027209781611973242SIAM20131031143354.0m eo d cr bn |||m|||a131029r20141972pau ob 001 0 eng d z 2013036574 a9781611973242qelectronic bk. z978161197323550aCL73bSIAM a(CaBNVSL)thg00908965 a(OCoLC)0861789626 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA371b.F53 2014eb04a515/.352231 aFinlayson, Bruce A.,eauthor.14aThe method of weighted residuals and variational principles /cBruce A. Finlayson, University of Washington, Seattle, Washington. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xxii, 412 pages) atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aClassics in applied mathematics ;v73 aOriginally published: New York : Academic Press, 1972. aIncludes bibliographical references and index.0 aThe method of weighted residuals -- Introduction -- Boundary-value problems in heat and mass transfer -- Eigenvalue and initial-value problems in heat and mass transfer -- Applications to fluid mechanics -- Chemical reaction systems -- Convective instability problems -- Variational principles -- Introduction to variational principles -- Variational principles in fluid mechanics -- Variational principles for heat and mass transfer problems -- On the search for variational principles -- Convergence and error bounds.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles; illustrates how to use simple methods to find approximate solutions and how to use the finite element method for more complex problems; and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/29/2013. 0aDifferential equationsxNumerical solutions. 0aApproximation theory. aVariational principles aError bounds aGalerkin method aFinite element method aTrasport problems aApproximate solutions2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611973236z9781611973235w(DLC) 2013036574 0aClassics in applied mathematics ;v73.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197324204397nam 2200457 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280016001800350025001960350022002210400040002430500023002830820017003061000038003232450261003612640149006223000028007713360021007993370026008203380032008465040051008785050606009295060072015355201853016075300037034605380036034975380047035335880048035806500031036287000037036597000049036967100064037457760065038098560065038749781611973143SIAM20131002150931.0m eo d cr bn |||m|||a130928s2013 pau ob 001 0 eng d z 2013033335 a9781611973143qelectronic bk. z978161197313650aOT135bSIAM a(CaBNVSL)thg00908894 a(OCoLC)0859271856 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA871b.A97 2013eb04a515/.3922231 aAvrachenkov, Konstantin,eauthor.10aAnalytic perturbation theory and its applications /cKonstantin E. Avrachenkov, Inria Sophia Antipolis, Sophia Antipolis, France, Jerzy A. Filar, Flinders University, Adelaide, Australia, Phil G. Howlett, University of South Australia, Adelaide, Australia. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (xii, 369 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier aIncludes bibliographical references and index.0 aPreface -- Introduction and motivation -- Part I. Finite dimensional perturbations -- Inversion of analytically perturbed matrices -- Perturbation of null spaces, eigenvectors, and generalized inverses -- Polynomial perturbation of algebraic nonlinear systems -- Part II. Applications to optimization and Markov process -- Applications to optimization -- Applications to Markov chains -- Applications to Markov decision processes -- Part iii. Infinite dimensional perturbations -- Analytic perturbation of linear operators -- Background on Hilbert spaces and Fourier analysis -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aWe live in an era in which mathematical models - or systems - are used to describe complex phenomena (climate change dynamics, stock markets, the Internet, logistics, etc.). These systems typically depend on one or more parameters that are assigned nominal values based on current understanding of the phenomena. Because these values are usually estimates, it is important to know how even small deviations from them affect the behavior of the system. Single-parameter deviations pose significant technical challenges, but they constitute a natural starting point, especially since much progress has been made in analyzing the asymptotic behavior of these deviations in many special settings in the sciences, engineering, and economics. This book considers systems that can be disturbed to varying degrees by changing the value of a single perturbation parameter. The difference between the actual and nominal values of this key parameter, the perturbation, is small but unknown in most applications, so it is important to understand the behavior of the solutions as the perturbation tends to zero. Many interesting applications contain an apparent discontinuity in the limiting behavior that complicates the analysis. These are the so-called singularly perturbed problems. Analytic Perturbation Theory and Its Applications includes comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses, generalized inverses, and polynomial systems, topics not covered in other books; original applications in Markov chains, Markov decision processes, optimization, and applications to Google PageRank{tm} and the Hamiltonian cycle problem as well as input retrieval in linear control systems; and a problem section in every chapter to aid in course preparation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 09/28/2013. 0aPerturbation (Mathematics)1 aFilar, Jerzy A.,d1949-eauthor.1 aHowlett, P. G.q(Philip G.),d1944-eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611973139z9781611973136w(DLC) 2013033335403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197314303123nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280016001800350025001960350022002210400040002430500023002830820017003061000032003232450203003552640149005583000028007073360021007353370026007563380032007824900024008145040051008385050307008895060072011965200609012685300037018775380036019145380047019505880048019976500031020456500026020766500058021026530023021606530030021836530028022136530019022416530025022606530021022857000032023067100064023387760065024028300025024678560065024929781611973051SIAM20131002150931.0m eo d cr bn |||m|||a130928s2013 pau ob 001 0 eng d z 2013033334 a9781611973051qelectronic bk. z978161197304450aOT133bSIAM a(CaBNVSL)thg00908893 a(OCoLC)0859271882 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA377b.F35 2013eb04a515/.3532231 aFalcone, Maurizio,eauthor.10aSemi-Lagrangian approximation schemes for linear and Hamilton-Jacobi equations /cMaurizio Falcone, Sapienza Universita di Roma, Rome, Italy, Roberto Ferretti, Universita di Roma Tre, Rome, Italy. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (xii, 319 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aApplied mathematics aIncludes bibliographical references and index.0 aPreface -- Notation -- Models and motivations -- Viscosity solutions of first-order PDEs -- Elementary building blocks -- Convergence theory -- First-order approximation schemes -- High-order SL approximation schemes -- Fluid dynamics -- Control and games -- Front propagation -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis largely self-contained book provides a unified framework of semi-Lagrangian strategy for the approximation of hyperbolic PDEs, with a special focus on Hamilton-Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts underlying the construction and analysis of difference schemes; they then proceed to high-order semi-Lagrangian schemes and their applications to problems in fluid dynamics, front propagation, optimal control, and image processing. The developments covered in the text and the references come from a wide range of literature. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 09/28/2013. 0aHamilton-Jacobi equations. 0aApproximation theory. 0aDifferential equations, PartialxNumerical solutions. aNumerical analysis aHamilton-Jacobi equations aSemi-Lagrangian schemes aControl theory aGeophysical sciences aImage processing1 aFerretti, Roberto,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z161197304Xz9781611973044w(DLC) 2013033334 0aApplied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197305104662nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200025001620280015001870350025002020350022002270400040002490500025002890820017003141000037003312450149003682640149005173000030006663360021006963370026007173380032007434900049007755040051008245050682008755060072015575201904016295300037035335380036035705380047036065880048036536500041037016500023037426530031037656530022037966530021038186530024038396530025038637100064038887760065039528300050040178560065040679781611973228SIAM20131002150931.0m eo d cr bn |||m|||a130928s2013 pau ob 001 0 eng d z 2013034432 a9781611973228qelectronic bk. z9781611973211qprint50aCS12bSIAM a(CaBNVSL)thg00908892 a(OCoLC)0859271907 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA276.8b.S64 2013eb04a519.5/442231 aSmith, Ralph C.,d1960-eauthor.10aUncertainty quantification :btheory, implementation, and applications /cRalph Smith, North Carolina State University, Raleigh, North Carolina. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (xviii, 383 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aComputational science and engineering series aIncludes bibliographical references and index.0 aPreface -- Notation -- Acronyms and initialisms -- Introduction -- Large-scale applications -- Prototypical models -- Fundamentals of probability, random processes, and statistics -- Representation of random inputs -- Parameter selection techniques -- Frequentist techniques for parameter estimation -- Bayesian techniques for parameter estimation -- Uncertainty propagation in models -- Stochastic spectral methods -- Sparse grid quadrature and interpolation techniques -- Prediction in the presence of model discrepancy -- Surrogate models -- Local sensitivity analysis -- Global sensitivity analysis -- Appendix a. Concepts from functional analysis -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe field of uncertainty quantification is evolving rapidly because of increasing emphasis on models that require quantified uncertainties for large-scale applications, novel algorithm development, and new computational architectures that facilitate implementation of these algorithms. Uncertainty Quantification: Theory, Implementation, and Applications provides readers with the basic concepts, theory, and algorithms necessary to quantify input and response uncertainties for simulation models arising in a broad range of disciplines. The book begins with a detailed discussion of applications where uncertainty quantification is critical for both scientific understanding and policy. It then covers concepts from probability and statistics, parameter selection techniques, frequentist and Bayesian model calibration, propagation of uncertainties, quantification of model discrepancy, surrogate model construction, and local and global sensitivity analysis. The author maintains a complementary web page where readers can find data used in the exercises and other supplementary material. Uncertainty Quantification: Theory, Implementation, and Applications includes a very large number of definitions and examples that use a suite of relatively simple models to illustrate concepts; numerous references to current and open research issues; exercises that illustrate basic concepts and guide readers through the numerical implementation of algorithms for prototypical problems; a wide range of applications, including weather and climate models, subsurface hydrology and geology models, nuclear power plant design, and models for biological phenomena; and recent advances and topics that have appeared in the research literature within the last 15 years, including aspects of Bayesian model calibration, surrogate model development, parameter selection techniques, and global sensitivity analysis. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 09/28/2013. 0aMeasurement uncertainty (Statistics) 0aEstimation theory. aUncertainty quantification aModel calibration aSurrogate models aParameter selection aSensitivity analysis2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z161197321Xz9781611973211w(DLC) 2013034432 0aComputational science and engineering series.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197322803525nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280016001800350025001960350022002210400040002430500029002830820018003121000040003302450079003702640149004493000029005983360021006273370026006483380032006744900040007065040051007465050804007975060072016015200635016735300037023085380036023455380047023815880048024286500040024766500043025166500045025596530026026046530012026306530016026426530024026586530027026827000027027097100064027367760065028008300041028658560065029069781611973129SIAM20130923170345.0m eo d cr bn |||m|||a130919s2013 pau ob 001 0 eng d z 2013030887 a9781611973129qelectronic bk. z978161197311250aOT134bSIAM a(CaBNVSL)thg00908816 a(OCoLC)0858825564 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA76.73.F25bH367 2013eb04a518/.02852231 aHanson, Richard J.,d1938-eauthor.10aNumerical computing with modern Fortran /cRichard J. Hanson, Tim Hopkins. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (viii, 247 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aIntroduction -- The modern Fortran source -- Modules for subprogram libraries -- Generic subprograms -- Sparse matrices, defined operations, overloaded assignment -- Object-oriented programming for numerical applications -- Recursion in Fortran -- Case study : toward a modern QUADPACK routine -- Case study : quadrature routine qag2003 -- IEEE arithmetic features and exception handling -- Interoperability with C -- Defined operations for sparse matrix solutions -- Case study : two sparse least-squares system examples -- Message passing with MPI in standard Fortran -- Coarrays in standard Fortran -- OpenMP in Fortran -- Modifying source to remove obsolescent or deleted features -- Software testing -- Compilers -- Software tools -- Fortran book code on SIAM web site -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe Fortran language standard has undergone significant upgrades in recent years (1990, 1995, 2003, and 2008). Numerical Computing with Modern Fortran illustrates many of these improvements through practical solutions to a number of scientific and engineering problems. Readers will discover: techniques for modernizing algorithms written in Fortran; examples of Fortran interoperating with C or C++ programs, plus using the IEEE floating-point standard for efficiency; illustrations of parallel Fortran programming using coarrays, MPI, and OpenMP; and a supplementary website with downloadable source codes discussed in the book. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 09/19/2013. 0aFORTRAN (Computer program language) 0aNumerical analysisxComputer programs. 0aSciencexMathematicsxComputer programs. aNumerical application aFortran aSource code aNumerical algorithm aScientific programming1 aHopkins, Tim,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611973112z9781611973112w(DLC) 2013030887 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197312904781nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280015001800350025001950350021002200400040002410500026002810820024003071000054003312450139003852640149005243000027006733360021007003370026007213380032007474900038007795040051008175051030008685060072018985201521019705300037034915380036035285380047035645880048036116500034036596500042036936530033037356530028037686530021037966530023038176530037038407000038038777000033039157000034039487100064039827760065040468300039041118560065041509781611972702SIAM20130903153656.0m eo d cr bn |||m|||a130628s2013 pau ob 001 0 eng d z 2013025584 a9781611972702qelectronic bk. z978161197269650aSE25bSIAM a(CaBNVSL)thg00908815 a(OCoLC)873160025 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA161.P59bB38 2013eb04a512.9/4220285532231 aBates, Daniel J.q(Daniel James),d1979-eauthor.10aNumerically solving polynomial systems with Bertini /cDaniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (xx, 352 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aSoftware, environments, and tools aIncludes bibliographical references and index.0 aPart I. Isolated Systems -- Polynomial Systems -- Basic Polynomial Continuation -- Adaptive Precision and Endgames -- Projective Space -- Types of Homotopies -- Parameter Homotopies -- Advanced Topics about Isolated Solutions -- Part II. Positive-Dimensional Solution Sets -- Positive-Dimensional Components -- Computing Witness Supersets -- The Numerical Irreducible Decomposition -- Advanced Topics about Positive-Dimensional Solution Sets -- Part III. Further Algorithms and Applications -- Intersection -- Singular Sets -- Real Solutions -- Applications to Algebraic Geometry -- Projections of Algebraic Sets -- Big Polynomial Systems Arising from -- Differential Equations -- Part IV. Bertini Users Manual -- Appendix A. Bertini Quick Start Guide -- Appendix B. Input Format -- Appendix C. Calling Options -- Appendix D. Output Files -- Appendix E. Configuration Settings -- Appendix F. Tips and Tricks -- Appendix G. Parallel Computing -- Appendix H. Related Software -- Bibliography -- Software Index -- Subject Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book is a guide to concepts and practice in numerical algebraic geometry -- the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/30/2013. 0aPolynomialsxData processing. 0aGeometry, AlgebraicxData processing. aNumerical algebraic geometry aPolynomial continuation aHomotopy methods aNumerical analysis aComputational algebraic geometry1 aHauenstein, Jonathan D.,eauthor.1 aSommese, Andrew J.,eauthor.1 aWampler, Charles W.,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611972698z9781611972696w(DLC) 2013025584 0aSoftware, environments, and tools.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197270203939nam 2200505 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280016001800350025001960350022002210400040002430500023002830820019003061000027003252450056003522640149004083000026005573360021005833370026006043380032006305040051006625050506007135060072012195201601012915300037028925380036029295380047029655880048030126500038030606530024030986530020031226530015031426530026031576530022031837000034032057100064032397760065033038560065033689781611972610SIAM20130903153656.0m eo d cr bn |||m|||a130524s2013 pau ob 001 0 eng d z 2013019839 a9781611972610qelectronic bk. z978161197260350aOT131bSIAM a(CaBNVSL)thg00908814 a(OCoLC)0857504264 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC981b.K37 2013eb04a551.601/512231 aKaper, H. G.,eauthor.10aMathematics and climate /cHans Kaper, Hans Engler. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (xx, 326 pages) atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier aIncludes bibliographical references and index.0 aClimate and mathematics -- Earth's energy budget -- Oceans and climate -- Dynamical systems -- Bifurcation theory -- Stommel's box model -- Lorenz equations -- Climate and statistics -- Regression analysis -- Mauna Loa CO2 data -- Fourier transforms -- Zonal energy budget -- Atmosphere and climate -- Hydrodynamics -- Climate models -- El Nino, southern oscillation -- Cryosphere and climate -- Biogeochemistry -- Extreme events -- Data assimilation -- Units and symbols -- Glossary -- MATLAB codes.1 aRestricted to subscribers or individual electronic text purchasers.3 aMathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth's energy balance, temperature distribution, ocean circulation patterns such as El Nino-Southern Oscillation, ice caps and glaciation periods, the carbon cycle, and the biological pump. Among the mathematical and statistical techniques presented in the text are dynamical systems and bifurcation theory, Fourier analysis, conservation laws, regression analysis, and extreme value theory. The following features make Mathematics and Climate a valuable teaching resource: issues of current interest in climate science and sustainability are used to introduce the student to the methods of mathematics and statistics; the mathematical sophistication increases as the book progresses; topics can thus be selected according to interest and level of knowledge; each chapter ends with a set of exercises that reinforce or enhance the material presented in the chapter and stimulate critical thinking and communication skills; the book contains an extensive list of references to the literature, a glossary of terms for the nontechnical reader, and a detailed index. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/30/2013. 0aClimatologyxMathematical models. aApplied mathematics aClimate science aStatistics aMathematical modeling aDynamical systems1 aEngler, Hans,d1953-eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611972604z9781611972603w(DLC) 2013019839403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197261003364nam 2200505 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200018001620280015001800350025001950350022002200400040002420500023002820820016003051000038003212450082003592640149004413000027005903360021006173370026006383380032006645000041006965040051007375050665007885060072014535200809015255300037023345380036023715380047024075880048024546500024025026500029025266500029025556530023025846530022026077000035026297100064026647760065027288560065027939781611973167SIAM20130903153655.0m eo d cr bn |||m|||a130802r20131983pau ob 001 0 eng d z 2013030732 a9781611973167qelectronic bk. z978161197315050aCL72bSIAM a(CaBNVSL)thg00908813 a(OCoLC)0857505914 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA431b.C59 2013eb04a515/.432231 aColton, David L.,d1943-eauthor.10aIntegral equation methods in scattering theory /cDavid Colton, Rainer Kress. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 PDF (xvi, 271 pages) atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier aReprint of: New York : Wiley, 1983. aIncludes bibliographical references and index.0 aPreface to the Classics Edition -- Preface -- Symbols -- The Riesz-Fredholm Theory for Compact Operators -- Regularity Properties of Surface Potentials -- Boundary-Value Problems for the Scalar Helmholtz Equation -- Boundary-Value Problems for the Time-Harmonic Maxwell Equations and the Vector Helmholtz Equation -- Low Frequency Behavior of Solutions to Boundary-Value Problems in Scattering Theory -- The Inverse Scattering Problem: Exact Data -- Improperly Posed Problems and Compact Families -- The Determination of the Shape of an Obstacle from Inexact Far-Field Data -- Optimal Control Problems in Radiation and Scattering Theory -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis classic book provides a rigorous treatment of the Riesz-Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and Holder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and Holder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/30/2013. 0aIntegral equations. 0aBoundary value problems. 0aScattering (Mathematics) aIntegral equations aScattering theory1 aKress, Rainer,d1941-eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:z1611973155z9781611973150w(DLC) 2013030732403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197316704240nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500025002730820018002981000032003162450117003482600140004653000053006054900041006585040051006995051075007505060072018255201295018975300037031925380036032295380047032655880048033126500023033606530019033836530018034026530022034206530023034426530034034657000023034997100052035227760065035748300042036398560065036819781611972856SIAM20130821112251.0m eo d cr bn |||m|||a130620s2013 pau ob 001 0 eng d z 2013020352 a9781611972856 (electronic bk.) z978161197317450aDC25bSIAM a(CaBNVSL)thg00908783 a(OCoLC)0856029455 aCaBNVSLcCaBNVSLdCaBNVSL 4aTJ213b.B4175 2013eb04a629.8/3122231 aBekiaris-Liberis, Nikolaos.10aNonlinear control under nonconstant delaysh[electronic resource] /cNikolaos Bekiaris-Liberis, Miroslav Krstic. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 electronic text (xii, 299 p.) :bdigital file.1 aAdvances in design and control ;v25 aIncludes bibliographical references and index.0 aPreface -- Introduction -- Linear systems with input and state delays -- Linear systems with distributed delays -- Application: automotive catalysts -- Nonlinear systems with input delay -- Linear systems with time-varying input delay -- Robustness of linear constant-delay predictor feedback to time-varying delay perturbations -- Nonlinear systems with time-varying input delay -- Nonlinear systems with simultaneous time-varying delays on the input and the state -- Predictor feedback design when the delay is a function of the state -- Stability analysis for forward-complete systems with input delay -- Stability analysis for locally stabilizable systems with input delay -- Nonlinear systems with state delay -- Robustness of nonlinear constant-delay predictors to time- and state-dependent delay perturbations -- State-dependent delays that depend on delayed states -- Appendix A. Basic inequalities -- Appendix B. Input-to-output stability -- Appendix C. Lyapunov stability, forward-completeness, and input-to-state stability -- Appendix D. Parameter projection.1 aRestricted to subscribers or individual electronic text purchasers. aThe authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept--with constant delays only on the input--all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/16/2013. 0aAutomatic control. aControl theory aDelay systems aNonlinear control aLyapunov functions aDistributed parameter systems1 aKrstic, Miroslav.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611973171z9781611973174w(DLC) 2013020352 0aAdvances in design and control ;v25.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197285603054nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200031001630280016001940350025002100350021002350400030002560500023002860820015003091000025003242450110003492600140004593000053005994900031006525040051006835050387007345060072011215200725011935300037019185380036019555380047019915880048020386500036020866500046021226530031021686530034021996530042022336530045022756530026023207100052023467760065023988300032024638560065024959781611972597SIAM20130821112250.0m eo d cr bn |||m|||a130613s2013 pau ob 001 0 eng d z 2013018736 a9781611972597 (electronic bk.) z9781611972580 (alk. paper)50aOT130bSIAM a(CaBNVSL)thg00908782 a(OCoLC)873159717 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA320b.C52 2013eb04a515/.72231 aCiarlet, Philippe G.10aLinear and nonlinear functional analysis with applicationsh[electronic resource] /cPhilippe G. Ciarlet. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 electronic text (xiv, 832 p.) :bdigital file.1 aApplied mathematics ;v130 aIncludes bibliographical references and index.0 aPreface -- Real analysis and theory of functions : a quick review -- Normed vector spaces -- Banach spaces -- Inner-product spaces and Hilbert spaces -- The "great theorems" of linear functional analysis -- Linear partial differential equations -- Differential calculus in normed vector spaces -- Differential geometry in Rn -- The "great theorems" of nonlinear functional analysis.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/16/2013. 0aFunctional analysisvTextbooks. 0aNonlinear functional analysisvTextbooks. aLinear functional analysis aNonlinear functional analysis aLinear partial differential equations aNonlinear partial differential equations aDifferential geometry2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972582z9781611972580w(DLC) 2013018736 0aApplied mathematics ;v130.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197259702599nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500025002730820014002981000022003122450121003342600140004553000054005954900036006495040051006855050210007365060072009465200552010185300037015705380036016075380047016435880048016906500027017386530024017656530015017896530025018046530021018296530017018507000019018677100052018867760065019388300037020038560065020409781611972672SIAM20130704094219.0m eo d cr bn |||m|||a130622s2013 pau ob 001 0 eng d z 2013013213 a9781611972672 (electronic bk.) z978161197266550aMO15bSIAM a(CaBNVSL)thg00908295 a(OCoLC)0850421166 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.L63 2013eb04a519.72231 aLocatelli, Marco.10aGlobal optimizationh[electronic resource] :btheory, algorithms, and applications /cMarco Locatelli, Fabio Schoen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 electronic text (viii, 437 p.) :bdigital file.1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 aPreface -- Introduction -- Complexity -- Heuristics -- Lower bounds -- Branch and bound -- Problems -- Appendix A. Basic definitions and results on convexity -- Appendix B, Notation -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis volume contains a thorough overview of the rapidly growing field of global optimization, with chapters on key topics such as complexity, heuristic methods, derivation of lower bounds for minimization problems, and branch-and-bound methods and convergence. The final chapter offers both benchmark test problems and applications of global optimization, such as finding the conformation of a molecule or planning an optimal trajectory for interplanetary space travel. An appendix provides fundamental information on convex and concave functions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 06/21/2013. 0aNonconvex programming. aGlobal Optimization aComplexity aHeuristic algorithms aBranch and bound aLower bounds1 aSchoen, Fabio.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972663z9781611972665w(DLC) 2013013213 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197267203799nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500022002730820016002951000022003112450088003332600140004213000053005614900049006145000020006635050636006835060072013195201328013915300037027195380036027565380047027925880047028396500026028866530027029126530022029396530024029616530028029856530039030137000021030527100052030737760065031258300050031908560065032409781611972573SIAM20130222134209.0m eo d cr bn |||m|||a130222s2013 pau o 001 0 eng d z 2012046499 a9781611972573 (electronic bk.) z978161197256650aCS11bSIAM a(CaBNVSL)thg00905950 a(OCoLC)0828205876 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.D364 201304a515/.352231 aDankowicz, Harry.10aRecipes for continuationh[electronic resource] /cHarry Dankowicz, Frank Schilder. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 electronic text (xvi, 584 p.) :bdigital file.1 aComputational science and engineering series aIncludes index.0 aA continuation program -- Encapsulation -- Construction -- Toolbox development -- Task embedding -- Discretization -- The collocation continuation problem -- Single-segment continuation problems -- Multi-segment continuation problems -- That variational collocation problem -- Covering manifolds -- Single-dimensional atlas algorithms -- Multi-dimensional manifolds -- Computational domains -- Special points and events -- Atlas events and toolbox integration -- Event handlers and branch switching -- Pointwise adaptation and comoving meshes -- A spectral toolbox -- Integrating adaptation in atlas algorithms -- Toolbox projects.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides a comprehensive introduction to the mathematical methodology of parameter continuation, the computational analysis of families of solutions to nonlinear mathematical equations. It develops a systematic formalism for constructing abstract representations of continuation problems and for implementing these in an existing computational platform. Recipes for Continuation lends equal importance to theoretical rigor, algorithm development, and software engineering; demonstrates the use of fully developed toolbox templates for single- and multisegment boundary-value problems to the analysis of periodic orbits in smooth and hybrid dynamical systems, quasi-periodic invariant tori, and homoclinic and heteroclinic connecting orbits between equilibria and/or periodic orbits; shows the use of vectorization for optimal computational efficiency, an object-oriented paradigm for the modular construction of continuation problems, and adaptive discretization algorithms for guaranteed bounds on estimated errors; and contains extensive and fully worked examples that illustrate the application of the MATLAB-based Computational Continuation Core (COCO) to problems from recent research literature that are relevant to dynamical system models from mechanics, electronics, biology, economics, and neuroscience. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 2/22/2013. 0aContinuation methods. aParameter continuation aManifold covering aToolbox development aBoundary-value problems aComputational bifurcation analysis1 aSchilder, Frank.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972566z9781611972566w(DLC) 2012046499 0aComputational science and engineering series.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197257303972nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280016001810350025001970350022002220400030002440500025002740820016002991000023003152450102003382500018004402600140004583000060005984900040006585000021006985040066007195050398007855060072011835201559012555300037028145380036028515380047028875880048029346500038029826500035030206530031030556530022030866530025031086530013031336530015031467000023031617000023031847100052032077760065032598300041033248560065033659781611972238SIAM20130215123704.0m eo d cr bn |||m|||a130215s2012 paua ob 001 0 eng d z 2011051130 a9781611972238 (electronic bk.) z978161197222150aOT106bSIAM a(CaBNVSL)thg00905946 a(OCoLC)0827790919 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.6b.B87 2012eb04a519.7/22231 aBurkard, Rainer E.10aAssignment problemsh[electronic resource] /cRainer Burkard, Mauro Dell'Amico, Silvano Martello. aRev. reprint. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xxii, 393 p.) :bill., digital file.1 aOther titles in applied mathematics a"OTR106"--Spine. aIncludes bibliographical references (p. 327-377) and indexes.0 aIntroduction -- Theoretical foundations -- Bipartite matching algorithms -- Linear sum assignment problem -- Further results on the linear sum assignment problem -- Other types of linear assignment problems -- Quadratic assignment problems: formulations and bounds -- Quadratic assignment problems: algorithms -- Other types of quadratic assignment problems -- Multi-index assignment problems.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides a comprehensive treatment of assignment problems from their conceptual beginnings in the 1920s through present-day theoretical, algorithmic, and practical developments. The revised reprint provides details on a recent discovery related to one of Jacobi's results, new material on inverse assignment problems and quadratic assignment problems, and an updated bibliography. The authors have organized the book into 10 self-contained chapters to make it easy for readers to use the specific chapters of interest to them without having to read the book linearly. The topics covered include bipartite matching algorithms, linear assignment problems, quadratic assignment problems, multi-index assignment problems, and many variations of these problems. Exercises in the form of numerical examples provide readers with a method of self-study or students with homework problems, and an associated webpage offers applets that readers can use to execute some of the basic algorithms as well as links to computer codes that are available online. Researchers will benefit from the book's detailed exposition of theory and algorithms related to assignment problems, including the basic linear sum assignment problem and its many variations. Practitioners will learn about practical applications of the methods, the performance of exact and heuristic algorithms, and software options. This book also can serve as a text for advanced courses in discrete mathematics, integer programming, combinatorial optimization, and algorithmic computer science. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 02/15/2013. 0aAssignment problems (Programming) 0aComputer sciencexMathematics. aCombinatorial optimization aLinear assignment aQuadratic assignment aMatching aAlgorithms1 aDell'Amico, Mauro.1 aMartello, Silvano.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972221z9781611972221w(DLC) 2011051130 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197223803445nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280016001810350025001970350022002220400030002440500023002740820017002971000018003142450110003322600140004423000054005824900040006365040051006765051007007275060072017345200656018065300037024625380036024995380047025355880046025826500034026286530025026626530013026876530024027007000028027247100052027527760065028048300041028698560065029109781611972504SIAM20130206094404.0m eo d cr bn |||m|||a130204s2013 pau ob 001 0 eng d z 2012044617 a9781611972504 (electronic bk.) z978161197249850aOT129bSIAM a(CaBNVSL)thg00905892 a(OCoLC)0826808224 aCaBNVSLcCaBNVSLdCaBNVSL 4aQH323.5b.S43 201304a570.1/132231 aSegel, Lee A.12aA primer on mathematical models in biologyh[electronic resource] /cLee A. Segel, Leah Edelstein-Keshet. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2013. a1 electronic text (xxvi, 424 p.) :bdigital file.1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aAcknowledgments -- Preface -- 1. Introduction -- 2. Introduction to biochemical kinetics -- 3. Review of linear differential equations -- 4. Introduction to nondimensionalization and scaling -- 5. Qualitative behavior of simple differential equation models -- 6. Developing a model from the ground up : case study of the spread of an infection -- 7. Phase plane analysis -- 8. Quasi steady state and enzyme-mediated biochemical kinetics -- 9. Multiple subunit enzymes and proteins : cooperativity -- 10. Dynamic behavior of neuronal membranes -- 11. Excitable systems and the FitzHugh-Nagumo equations -- 12. Biochemical modules -- 13. Discrete networks of genes and cells -- 14. For further study -- 15. Extended exercises and projects -- Appendix A. The Taylor approximation and Taylor series -- Appendix B. Complex numbers -- Appendix C. A review of basic theory of electricity -- Appendix D. Proofs of Boolean algebra rules -- Appendix E. XPP files for models in this book -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis textbook introduces differential equations, biological applications, and simulations and emphasizes molecular events (biochemistry and enzyme kinetics), excitable systems (neural signals), and small protein and genetic circuits. A Primer on Mathematical Models in Biology will appeal to readers because it grew out of a course that the popular and highly respected applied mathematician Lee Segel taught at the Weizmann Institute and it represents his unique perspective; combines clear and useful mathematical methods with applications that illustrate the power of such tools; and includes many exercises in reasoning, modeling, and simulations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 2/4/2013. 0aBiologyxMathematical models. aMathematical biology aModeling aApplied mathematics1 aEdelstein-Keshet, Leah.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972493z9781611972498w(DLC) 2012044617 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197250403308nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500024002730820016002972450152003132600140004653000053006054900036006585040051006945050389007455060072011345200883012065300037020895380036021265380047021625880048022096500030022576500021022876500025023086530030023336530023023636530020023866530016024066530021024226530027024437000026024707000022024967000029025187100052025477760065025998300037026648560065027019781611972290SIAM20121129105620.0m eo d cr bn |||m|||a121128s2012 pau ob 001 0 eng d z 2012027582 a9781611972290 (electronic bk.) z978161197228350aMO13bSIAM a(CaBNVSL)thg00905831 a(OCoLC)0819588674 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.S445 201204a516.3/522300aSemidefinite optimization and convex algebraic geometryh[electronic resource] /cedited by Grigoriy Blekherman, Pablo A. Parrilo, Rekha R. Thomas. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xix, 471 p.) :bdigital file.1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 a1. What is convex algebraic geometry? -- 2. Semidefinite optimization -- 3. Polynomial optimization, sums of squares, and applications -- 4. Nonnegative polynomials and sums of squares -- 5. Dualities -- 6. Semidefinite representability -- 7. Convex hulls of algebraic sets -- 8. Free convexity -- 9. Sums of Hermitian squares. Old and new -- Appendix A. Background material -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides a self-contained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This quickly evolving research area with contributions from the diverse fields of convex geometry, algebraic geometry, and optimization is known as convex algebraic geometry. Each chapter addresses a fundamental aspect of convex algebraic geometry. The book begins with an introduction to nonnegative polynomials and sums of squares and their connections to semidefinite programming and quickly advances to several areas at the forefront of current research. These include semidefinite representability of convex sets, duality theory from the point of view of algebraic geometry, and nontraditional topics such as sums of squares of complex forms and noncommutative sums of squares polynomials. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/28/2012. 0aSemidefinite programming. 0aConvex geometry. 0aGeometry, Algebraic. aSemidefinite optimization aAlgebraic geometry aConvex geometry aPolynomials aSums of squares aNonegative polynomials1 aBlekherman, Grigoriy.1 aParrilo, Pablo A.1 aThomas, Rekha R.,d1967-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972280z9781611972283w(DLC) 2012027582 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197229002361nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500023002730820015002961000032003112450154003432600140004973000053006374900042006905040051007325060072007835200315008555300037011705380036012075380047012435880048012906500028013386500048013666500031014146530016014456530036014616530012014976530025015096530025015347000030015597000029015897100052016187760065016708300043017358560065017789781611972443SIAM20121106110735.0m eo d cr bn |||m|||a121010s2012 pau ob 001 0 eng d z 2012033054 a9781611972443 (electronic bk.) z978161197243650aMO14bSIAM a(CaBNVSL)thg00905778 a(OCoLC)0815956821 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA167b.D43 2012eb04a511/.12231 aDe Loera, Jesus A.,d1966-10aAlgebraic and geometric ideas in the theory of discrete optimizationh[electronic resource] /cJesus A. De Loera, Raymond Hemmecke, Matthias Koppe. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xii, 222 p.) :bdigital file.1 aMOS-SIAM series on optimization ;v14 aIncludes bibliographical references and index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book presents recent advances in the mathematical theory of discrete optimization, particularly those supported by methods from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside the standard curriculum in optimization. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/01/2012. 0aCombinatorial geometry. 0aMathematical optimizationxData processing. 0aGeometryzData processing. aProbability aOrdinary differential equations aScaling aDimensional analysis aAgent based modeling1 aHemmecke, Raymond,d1972-1 aKoppe, Matthias,d1976-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972434z9781611972436w(DLC) 2012033054 0aMOS-SIAM series on optimization ;v14.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197244303127nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500024002730820015002971000023003122450141003352600140004763000052006164900048006685040051007165050328007675060072010955200752011675300037019195380036019565380047019925880048020396500028020876500019021156500026021346500025021606530026021856530043022116530030022546530030022846530030023147000022023447100052023667760065024188300049024838560065025329781611972481SIAM20121106110735.0m eo d cr bn |||m|||a121031s2012 pau ob 001 0 eng d z 2012035528 a9781611972481 (electronic bk.) z978161197247450aMM17bSIAM a(CaBNVSL)thg00905777 a(OCoLC)0815957544 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372b.C187 2012eb04a511/.82231 aCalvetti, Daniela.10aComputational mathematical modelingh[electronic resource] :ban integrated approach across scales /cDaniela Calvetti, Erkki Somersalo. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xx, 317 p.) :bdigital file.1 aMathematical modeling and computation ;v17 aIncludes bibliographical references and index.0 aReview of multivariate calculus and differential equations -- Compartment models -- From compartment models to continuous models -- Dimensional analysis and scaling -- Introduction to stochastic modeling -- Modeling of noise -- Modeling with waiting processes -- Markov processes -- Cellular automata, agent based modeling.1 aRestricted to subscribers or individual electronic text purchasers.3 aInteresting, real-world mathematical modeling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modeling paradigms: the macroscopic, in which the authors describe phenomena in terms of time evolution via ordinary differential equations, and the microscopic, which requires knowledge of random events and probability. The text emphasizes the development of computational skills to construct predictive models and analyze the results. To elucidate the concepts, a wealth of examples and portions of MATLAB code used by the authors are included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/01/2012. 0aDifferential equations. 0aProbabilities. 0aDimensional analysis. 0aMathematical models. aDiscrete optimization aInteger and combinatorial optimization aAlgorithms and complexity aComputational mathematics aMathematical optimization1 aSomersalo, Erkki.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972477z9781611972474w(DLC) 2012035528 0aMathematical modeling and computation ;v17.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197248103115nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500024002730820021002971000018003182450113003362600140004493000055005894900069006445040051007135050452007645060072012165200618012885300037019065380036019435380047019795880048020266500048020746500062021226500039021846530030022236530011022536530025022646530038022897000030023277100052023577760065024098300070024748560065025449781611972429SIAM20121106110733.0m eo d cr bn |||m|||a121101s2012 pau ob 001 0 eng d z 2012030574 a9781611972429 (electronic bk.) z978161197241250aCB84bSIAM a(CaBNVSL)thg00905776 a(OCoLC)0815956721 aCaBNVSLcCaBNVSLdCaBNVSL 4aRA643b.B736 2012eb04a616.901/51182231 aBrauer, Fred.10aMathematical models for communicable diseasesh[electronic resource] /cFred Brauer, Carlos Castillo-Chavez. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xviii, 264 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v84 aIncludes bibliographical references and index.0 aIntroduction : mathematical modeling in epidemiology -- Compartmental epidemic models -- Models for endemic diseases -- Heterogeneity in epidemic models -- Models structured by age -- Models for diseases in highly mobile populations -- Modeling influenza -- Models for the dynamics of influenza -- Models for the transmission dynamics of HIV -- Dynamical models of tuberculosis and applications -- Models for sexually transmitted diseases or STDs.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis graduate-level textbook appeals to readers interested in the mathematical theory of disease transmission models. It is self-contained and accessible to readers who are comfortable with calculus, elementary differential equations, and linear algebra. The book provides insight into modeling cross-immunity between different disease strains (such as influenza) and the synergistic interactions between multiple diseases (e.g., HIV and tuberculosis); diseases transmitted by viral agents, bacteria, and vectors (e.g., mosquitos transmitting malaria to humans); and both epidemic and endemic disease occurrences. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 11/01/2012. 0aCommunicable diseasesxMathematical models. 0aCommunicable diseasesxEpidemiologyxMathematical models. 0aEpidemiologyxMathematical models. aMathematical epidemiology aModels aDisease transmission aEmergent and re-emergent diseases1 aCastillo-Chavez, Carlos.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972418z9781611972412w(DLC) 2012030574 0aCBMS-NSF regional conference series in applied mathematics ;v84.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197242902954nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630280015001890350025002040350022002290400030002510500023002810820018003041000034003222450168003562500013005242600140005373000053006774900042007305040051007725050291008235060072011145200667011865300037018535380047018905380036019375880048019736500017020216500014020386530036020526530026020886530020021146530023021347000035021577000019021927100052022117760065022638300043023288560065023719781611972467SIAM20120930095323.0m eo d cr bn |||m|||a120926s2012 pau ob 001 0 eng d z 2012033049 a9781611972467 (electronic bk.) z9781611972450 (print)50aCL71bSIAM a(CaBNVSL)thg00905101 a(OCoLC)0811265797 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.C44 2012eb04a512.9/4362231 aChaitin-Chatelin, Francoise.10aEigenvalues of matricesh[electronic resource] /cFrancoise Chatelin ; with exercises by Mario Ahues ; translated, with additional material, by Walter Ledermann. aRev. ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xxx, 410 p.) :bdigital file.1 aClassics in applied mathematics ;v71 aIncludes bibliographical references and index.0 aSupplements from linear algebra -- Elements of spectral theory -- Why compute eigenvalues? -- Error analysis -- Foundations of methods for computing eigenvalues -- Numerical methods for large matrices -- Chebyshev's iterative methods -- Polymorphic information processing with matrices.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis classic textbook provides a modern and complete guide to the calculation of eigenvalues of matrices, written at an accessible level that presents in matrix notation the fundamental aspects of the spectral theory of linear operators in finite dimension. Unique features of Eigenvalues of matrices, revised edition are the convergence of eigensolvers serving as the basis of the notion of the gap between invariant subspaces, its coverage of the impact of the high nonnormality of the matrix on its eigenvalues, and the comprehensive nature of the material that moves beyond mathematical technicalities to the essential mean carried out by matrix eigenvalues. aAlso available in print version. aSystem requirements: Adobe Acrobat Reader. aMode of access: World Wide Web. aTitle from title screen, viewed 09/26/2012. 0aEigenvalues. 0aMatrices. agap between invariant subspaces aspectral conditioning aCauchy integral aeigenvalue, matrix1 aLedermann, Walter,d1911-2009.1 aAhues, Mario.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972450z9781611972450w(DLC) 2012033049 0aClassics in applied mathematics ;v71.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197246703595nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630280015001890350025002040350022002290400030002510500023002810820016003041000052003202450224003722600140005963000053007364900041007895040051008305050745008815060072016265200680016985300037023785380036024155380047024515880048024986500028025466500020025746500031025946500022026256530027026476530039026746530020027136530022027336530022027556530017027777000020027947100052028147760065028668300042029318560080029739781611972368SIAM20120930095323.0m eo d cr bn |||m|||a120926s2012 pau ob 001 0 eng d z 2012025629 a9781611972368 (electronic bk.) z9781611972351 (print)50aDC24bSIAM a(CaBNVSL)thg00905100 a(OCoLC)0811265793 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA315b.O86 2012eb04a515/.642231 aOsmolovskii, N. P.q(Nikolai Pavlovich),d1948-10aApplications to regular and bang-bang controlh[electronic resource] :bsecond-order necessary and sufficient optimality conditions in calculus of variations and optimal control /cNikolai P. Osmolovskii, Helmut Maurer. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xvi, 386 p.) :bdigital file.1 aAdvances in design and control ;v24 aIncludes bibliographical references and index.0 apt. I. Second-order optimality conditions for broken extremals in the calculus of variations -- 1. Abstract scheme for obtaining higher-order conditions in smooth extremal problems with constraints -- 2. Quadratic conditions in the calculus of variations -- 3. Quadratic conditions for optimal control problems with mixed control-state constraints problems -- 4. Jacobi-type conditions and Riccati equation -- pt. II. Second-order optimality conditions in optimal bang-bang control problems -- 5. Second-order optimality conditions in optimal control -- 6. Second-order optimality conditions for bang-bang control -- 7. Bang-bang control and induced optimization problem -- 8. Numerical methods for solving the induced optimization problem.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book is devoted to the theory and applications of second-order necessary and sufficient optimality conditions in the calculus of variations and optimal control. The authors develop theory for a control problem with ordinary differential equations subject to boundary conditions of both the equality and inequality type and for mixed state-control constraints of the equality type. The book is distinctive in that necessary and sufficient conditions are given in the form of no-gap conditions; the theory covers broken extremals where the control has finitely many points of discontinuity; and a number of numerical examples in various application areas are fully solved. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 09/26/2012. 0aCalculus of variations. 0aControl theory. 0aMathematical optimization. 0aSwitching theory. aPontryagin's principle asecond order optimality conditions aregular control abang-bang control anumerical methods aapplications1 aMaurer, Helmut.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972353z9781611972351w(DLC) 2012025629 0aAdvances in design and control ;v24.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc2403862nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200019001630280015001820350025001970400030002220500025002520820017002771000037002942450131003312600140004623000053006024900049006555040051007045050897007555060072016525201099017245300037028235380047028605380036029075880048029436500046029916530016030376530015030536530019030686530019030876530020031067000022031267100052031487760065032008300050032658560065033159781611972344SIAM20120807122707.0m eo d cr bn |||m|||a120806s2012 pau ob 001 0 eng d z 2012020877 a9781611972344 (electronic bk.) z9781611972337)50aCS10bSIAM a(CaBNVSL)thg00904546 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA378.5b.M84 2012eb04a515/.3572231 aMueller, Jenniferq(Jennifer L.)10aLinear and nonlinear inverse problems with practical applicationsh[electronic resource] /cJennifer Mueller, Samuli Siltanen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xiv, 351 p.) :bdigital file.1 aComputational science and engineering series aIncludes bibliographical references and index.0 apt. I. Linear inverse problems -- 1. Introduction -- 2. Naive reconstructions and inverse crimes -- 3. Ill-posedness in inverse problems -- 4. Truncated singular value decomposition -- 5. Tikhonov regularization -- 6. Total variation regularization -- 7. Besov space regularization using wavelets -- 8. Discretization-invariance -- 9. Practical x-ray tomography with limited data -- 10. Projects -- pt. II. Nonlinear inverse problems -- 11. Nonlinear inversion -- 12. Electrical impedance tomography -- 13. Simulation of noisy EIT data -- 14. Complex geometrical optics solutions -- 15. A regularized d-bar method for direct EIT -- 16. Other direct solution methods for EIT -- 17. Projects -- Appendix A. Banach spaces and Hilbert spaces -- Appendix B. Mappings and compact operators -- Appendix C. Fourier transforms and Sobolev spaces -- Appendix D. Iterative solution of linear equations.1 aRestricted to subscribers or individual electronic text purchasers.3 aInverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and how to design computational solution methods for them; explains computational approaches in a hands-on fashion, with related codes available on a website; serves as a convenient entry point to practical inversion. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer, and electrical impedance tomography is used as the guiding nonlinear inversion example. The book's nonlinear material combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner, paving the way to new theorems and algorithms for nonlinear inverse problems. Furthermore, it is the only mathematical textbook with a thorough treatment of electrical impedance tomography, and these sections are suitable for beginning and experienced researchers in mathematics and engineering. aAlso available in print version. aSystem requirements: Adobe Acrobat Reader. aMode of access: World Wide Web. aTitle from title screen, viewed 08/07/2012. 0aInverse problems (Differential equations) aComputation aTomography aRegularization aReconstruction aInverse problem1 aSiltanen, Samuli.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972337z9781611972337w(DLC) 2012020877 0aComputational science and engineering series.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197234403866nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960400030002210500025002510820016002762450162002922600140004543000053005944900035006475040051006825051151007335060072018845200711019565300037026675380036027045380047027405880048027876500038028356500020028736500031028936530020029246530017029446530037029616530022029987000023030207000039030437000045030827100052031277760065031798300036032448560080032809781611972252SIAM20120807122706.0m eo d cr bn |||m|||a120806s2012 pau ob 001 0 eng d z 2012016258 a9781611972252 (electronic bk.) z978161197224550aDC23bSIAM a(CaBNVSL)thg00904545 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372.5b.C66 2012eb04a512/.5622300aControl and optimization with differential-algebraic constraintsh[electronic resource] /cedited by Lorenz T. Biegler, Stephen L. Campbell, Volker Mehrmann. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xii, 344 p.) :bdigital file.1 aAdvances in design and control aIncludes bibliographical references and index.0 a1. DAEs, control, and optimization -- 2. Regularization of linear and nonlinear descriptor systems -- 3. Notes on linearization of DAEs and on optimization with differential-algebraic constraints -- 4. Spectra and leading directions for linear DAEs -- 5. StratiGraph tool : matrix stratifications in control applications -- 6. Descriptor system techniques in solving H2-optimal fault detection and isolation problems -- 7. Normal forms, high-gain, and funnel control for linear differential-algebraic systems -- 8. Linear-quadratic optimal control problems with switch points and a small parameter -- 9. Mixed-integer DAE optimal control problems : necessary conditions and bounds -- 10. Optimal control of a delay PDE -- 11. Direct transcription with moving finite elements -- 12. Solving parameter estimation problems with SOCX -- 13. Control of integrated chemical process systems using underlying DAE models -- 14. DMPC for building temperature regulation -- 15. Dynamic regularization, level set shape optimization, and computed myography -- 16. The application of Pontryagin's minimum principle for endpoint optimization of batch processes.1 aRestricted to subscribers or individual electronic text purchasers.3 aDifferential-algebraic equations are the most natural way to mathematically model many complex systems in science and engineering. Once the model is derived, it is important to optimize the design parameters and control it in the most robust and efficient way to maximize performance. This book presents the latest theory and numerical methods for the optimal control of differential-algebraic equations. The following features are presented in a readable fashion so the results are accessible to the widest audience: the most recent theory, written by leading experts from a number of academic and nonacademic areas and departments; several state-of-the-art numerical methods; and real-world applications. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/07/2012. 0aDifferential-algebraic equations. 0aControl theory. 0aMathematical optimization. aOptimal control aOptimization aDifferential-algebraic equations aNumerical methods1 aBiegler, Lorenz T.1 aCampbell, S. L.q(Stephen La Vern)1 aMehrmann, V. L.q(Volker Ludwig),d1955-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972248z9781611972245w(DLC) 2012016258 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc2303469nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200031001630280016001940350025002100350022002350400030002570410013002870500028003000820015003281000029003432400045003722450142004172600140005593000053006994900040007525040051007925050574008435060072014175201079014895300037025685380047026055380036026525880048026886500029027366500025027657100052027907760065028428300041029078560063029489781611972313SIAM20120529094614.0m eo d cr bn |||m|||a120526s2012 pau ob 001 0 eng d z 2012010732 a9781611972313 (electronic bk.) z9781611972306 (alk. paper)50aOT127bSIAM a(CaBNVSL)thg00903599 a(OCoLC)0794379203 aCaBNVSLcCaBNVSLdCaBNVSL1 aenghjpn 4aTA347.F86bY3613 2012eb04a515/.72231 aYamamoto, Yutaka,d1950-10aShisutemu to seigyo no sugaku.lEnglish10aFrom vector spaces to function spacesh[electronic resource] :bintroduction to functional analysis with applications /cYutaka Yamamoto. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xiv, 268 p.) :bdigital file.1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- Glossary of symbols -- ch. 1. Vector spaces revisited -- ch. 2. Normed linear spaces and Banach spaces -- ch. 3. Inner product and Hilbert spaces -- ch. 4. Dual spaces -- ch. 5. The space L(X,Y) of linear operators -- ch. 6. Schwartz distributions -- ch. 7. Fourier series and Fourier transform -- ch. 8. Laplace transform -- ch. 9. Hardy spaces -- ch. 10. Applications to systems and control -- Appendix A. Some background in sets, mappings, topology -- Appendix B. Table of laplace transforms -- Solutions -- Bibliographical notes -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and control theory. The text is designed to be accessible to those not familiar with the material and useful to working scientists, engineers, and mathematics students. The author provides the motivations of definitions and the ideas underlying proofs but does not sacrifice mathematical rigor. From Vector Spaces to Function Spaces presents: an easily accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking; and an understandable yet penetrating treatment of such modern methods and topics as function spaces and distributions, Fourier and Laplace analyses, and Hardy spaces. aAlso available in print version. aSystem requirements: Adobe Acrobat Reader. aMode of access: World Wide Web. aTitle from title screen, viewed 05/25/2012. 0aEngineering mathematics. 0aFunctional analysis.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972302z9781611972306w(DLC) 2012010732 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/978161197231303701nam 2200445 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280016001810350025001970350022002220400030002440500025002740820018002991000026003172450074003432600140004173000053005574900040006105040051006505050458007015060072011595201499012315300037027305380036027675380047028035880048028506500046028986530029029446530038029737100052030117760065030638300041031288560086031699781611972214SIAM20120302093656.0m eo d cr bn |||m|||a120227s2012 pau ob 001 0 eng d z 2011050702 a9781611972214 (electronic bk.) z978161197220750aOT125bSIAM a(CaBNVSL)thg00902353 a(OCoLC)0778808162 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA274.2b.L38 2012eb04a512.9/4342231 aLaub, Alan J.,d1948-10aComputational matrix analysish[electronic resource] /cAlan J. Laub. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xii, 156 p.) :bdigital file.1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- ch. 1. Preliminaries and notation -- ch. 2. Introduction to finite arithmetic -- ch. 3. Conditioning and numerical stability -- ch. 4. Introduction to rounding analysis -- ch. 5. Numerical matrix algebra -- ch. 6. Gaussian elimination -- ch. 7. Solving linear systems -- ch. 8. Linear least squares problems -- ch. 9. Computing eigenvalues and eigenvectors -- ch. 10. Other QR-type algorithms -- ch. 11. Applications -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aUsing an approach that author Alan Laub calls "matrix analysis for grown-ups," this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author. Computational Matrix Analysis provides readers with a one-semester introduction to numerical linear algebra; an introduction to statistical condition estimation in book form for the first time; and an overview of certain computational problems in control and systems theory. The book features a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic; discussion and examples of conditioning, stability, and rounding analysis; an introduction to mathematical software topics related to numerical linear algebra; a thorough introduction to Gaussian elimination, along with condition estimation techniques; coverage of linear least squares, with orthogonal reduction and QR factorization; variants of the QR algorithm; and applications of the discussed algorithms. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 02/23/2012. 0aMatrix analytic methodsxData processing. aNumerical linear algebra aComputational problems in control2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972205z9781611972207w(DLC) 2011050702 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot12505406nam 2200577 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030350022002280400030002500500024002800820024003041000026003282450123003542500012004772600140004893000061006294900049006905040051007395050183007905050292009735050238012655050251015035050301017545050301020555050616023565060072029725201169030445300037042135380036042505380047042865880048043336500037043816500036044186500051044546530008045056530008045136530032045216530021045537100052045747760065046268300050046918560087047419781611972177SIAM20120302093656.0m eo d cr bn |||m|||a120227s2012 paua ob 001 0 eng d z 2011049634 a9781611972177 (electronic bk.) z9781611972160 (pbk.)50aCS09bSIAM a(CaBNVSL)thg00902352 a(OCoLC)0778807856 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.S466 2012eb04a518/.64028551332231 aShapira, Yair,d1960-10aSolving PDEs in C++h[electronic resource] :bnumerical methods in a unified object-oriented approach /cYair Shapira. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xxxii, 765 p.) :bill., digital file.1 aComputational science and engineering series aIncludes bibliographical references and index.0 apt. I. Elementary background in programming -- ch. 1. Concise introduction to C -- ch. 2. Concise introduction to C++ -- ch. 3. Data structures used in the present algorithms -- 8 apt. II. Object-oriented programming -- ch. 4. From Wittgenstein-Lacan's theory to the object-oriented implementation of graphs and matrices -- ch. 5. FFT and other algorithms in numerics and cryptography -- ch. 6. Object-oriented analysis of nonlinear ordinary differential equations -- 8 apt. III. Partial differential equations and their discretization -- ch. 7. The convection-diffusion equation -- ch. 8. Some stability analysis -- ch. 9. About nonlinear conservation laws -- ch. 10. Application in image processing -- 8 apt. IV. Finite elements -- ch. 11. About the weak formulation -- ch. 12. Some background in linear finite elements -- ch. 13. Unstructured finite-element meshes -- ch. 14. Adaptive mesh refinement -- ch. 15. Towards high-order finite elements -- 8 apt. V. The numerical solution of large sparse linear systems of algebraic equations -- ch. 16. Sparse matrices and their object-oriented implementation -- ch. 17. Iterative methods for the numerical solution of large sparse linear systems of algebraic equations -- ch. 18. Towards parallelism -- 8 apt. VI. Applications in two spatial dimensions -- ch. 19. Diffusion equations -- ch. 20. The linear elasticity equations -- ch. 21. The Stokes equations -- ch. 22. Application in electromagnetic waves -- ch. 23. Multigrid for nonlinear equations and for the fusion problem in image processing -- 8 apt. VII. Applications in three spatial dimensions -- ch. 24. Polynomials in three independent variables -- ch. 25. The Helmholtz equation : error estimate -- ch. 26. Adaptive finite elements in three spatial dimensions -- ch. 27. Application in nonlinear optics : the nonlinear Helmholtz equation in three spatial dimensions -- ch. 28. High-order finite elements in three spatial dimensions -- ch. 29. Application in the nonlinear Maxwell equations -- ch. 30. Towards inverse problems -- ch. 31. Application in the Navier-Stokes equations -- Appendix A. Solutions to selected exercises -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aIn this much-expanded second edition, author Yair Shapira presents new applications and a substantial extension of the original object-oriented framework to make this popular and comprehensive book even easier to understand and use. It not only introduces the C and C++ programming languages, but also shows how to use them in the numerical solution of partial differential equations (PDEs). New material in this edition includes new chapters on 3-D nonlinear applications and image processing applications; new sections on cryptography applications; and even more new sections, many including additional algorithms. The book leads readers through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic system. The high level of abstraction available in C++ is particularly useful in the implementation of complex mathematical objects, such as unstructured mesh, sparse matrix, and multigrid hierarchy, often used in numerical modeling. The well-debugged and tested code segments implement the numerical methods efficiently and transparently in a unified object-oriented approach. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 02/23/2012. 0aDifferential equations, Partial. 0aC++ (Computer program language) 0aObject-oriented programming (Computer science) aPDE aC++ aObject-oriented programming aNumerical method2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972167z9781611972160w(DLC) 2011049634 0aComputational science and engineering series.403SIAMuhttp://epubs.siam.org/ebooks/siam/computational_science_and_engineering/cs0903124nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630280015001890350025002040350022002290400030002510500026002810820017003071000031003242450103003552600140004583000053005984900036006515040053006875050401007405060072011415200889012135300037021025380036021395380047021755880048022226500031022706500027023016530017023286530032023456530042023777100052024197760065024718300037025368560081025739781611972153SIAM20120302093656.0m eo d cr bn |||m|||a120227s2012 pau ob 001 0 eng d z 2011040535 a9781611972153 (electronic bk.) z9781611972146 (print)50aMO12bSIAM a(CaBNVSL)thg00902351 a(OCoLC)0778808483 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.D348 2012eb04a515/.6422231 aDelfour, Michel C.,d1943-10aIntroduction to optimization and semidifferential calculush[electronic resource] /cM.C. Delfour. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xvi, 347 p.) :bdigital file.1 aMOS-SIAM series on optimization aIncludes bibliographical references and indexes.0 aPreface -- ch. 1. Introduction -- ch. 2. Existence, convexities, and convexification -- ch. 3. Semi-differentiability, differentiability, continuity, and convexities -- ch. 4. Optimality conditions -- ch. 5. Constrained differentiable optimization -- Appendix A. Inverse and implicit function theorems -- Appendix B. Answers to exercises -- Elements of bibliography -- Index of notation -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis primarily undergraduate textbook focuses on finite-dimensional optimization. Readers will find: an original and well integrated treatment of semidifferential calculus and optimization; emphasis on the Hadamard subdifferential, introduced at the beginning of the 20th century and somewhat overlooked for many years, with references to original papers by Hadamard (1923) and Frechet (1925); fundamentals of convex analysis (convexification, Fenchel duality, linear and quadratic programming, two-person zero-sum games, Lagrange primal and dual problems, semiconvex and semiconcave functions); complete definitions, theorems, and detailed proofs, even though it is not necessary to work through all of them; commentaries that put the subject into historical perspective; numerous examples and exercises throughout each chapter, and answers to the exercises provided in an appendix. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 02/23/2012. 0aMathematical optimization. 0aDifferential calculus. aOptimization aSemidifferentiable calculus aConvex and differentiable programming2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972140z9781611972146w(DLC) 2011040535 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/ebooks/siam/mos-siam_series_on_optimization/mo1203825nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200018001630280015001810350025001960350022002210400030002430500024002730820016002971000042003132450102003552500013004572600140004703000053006104900042006635000051007055040053007565050505008095060072013145201226013865300037026125380036026495380047026855880048027326500027027806500020028076500027028276530036028546530025028906530026029156530039029416530034029807000028030147100052030427760065030948300043031598560081032029781611972191SIAM20120302093656.0m eo d cr bn |||m|||a120227r20121988pau ob 001 0 eng d z 2011050701 a9781611972191 (electronic bk.) z978161197218450aCL70bSIAM a(CaBNVSL)thg00902350 a(OCoLC)0778808481 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402b.H333 2012eb04a003/.742231 aHannan, E. J.q(Edward James),d1921-14aThe statistical theory of linear systemsh[electronic resource] /cE.J. Hannan, Manfred Deistler. aSIAM ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2012. a1 electronic text (xvi, 380 p.) :bdigital file.1 aClassics in applied mathematics ;v70 aOriginally published: New York : Wiley, c1988. aIncludes bibliographical references and indexes.0 aPreface to the Classics edition -- Introduction to the Classics edition -- Preface -- Index of notations -- ch. 1. Linear systems and stationary processes -- ch. 2. Realization and parameterization of linear dynamic systems -- ch. 3. The Kalman filter -- ch. 4. Maximum likelihood estimation of Armax systems -- ch. 5. Estimating the order of a linear system -- ch. 6. Calculation of the estimates -- ch. 7. Approximation by rational transfer functions -- References -- Author index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aOriginally published in 1988, The Statistical Theory of Linear Systems deals with identification (in the sense of obtaining a model from data) of multi-input and multi-output linear systems, in particular systems in ARMAX and state space form. The book emphasizes the underlying theory. It covers structure theory, in particular realization and parameterization of linear systems, with special emphasis on the analysis of properties of parameter spaces and parameterizations relevant for estimation and model selection; Gaussian maximum likelihood estimation of the real-valued parameters of linear systems, with an emphasis on asymptotic theory; model selection, in particular order estimation, by information criteria such as AIC or BIC, with an emphasis on asymptotic theory; procedures for calculation of estimates; and approximation by rational functions. This edition includes an extensive new introduction that outlines central ideas and features of the subject matter, as well as developments since the book's original publication, such as subspace identification, data-driven local coordinates, and the results on post-model-selection estimators. It also provides a section of errata and an updated bibliography. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 02/23/2012. 0aSystem identification. 0aLinear systems. 0aDiscrete-time systems. aARMA(X) and state-space systems aTime series analysis aSystem identification aParameterization of linear systems aMaximum likelihood estimation1 aDeistler, M.q(Manfred)2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972183z9781611972184w(DLC) 2011050701 0aClassics in applied mathematics ;v70.403SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl7003120nam 2200505 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280016001710350025001870350021002120400040002330500023002730820015002961000041003112450114003522640150004663000028006163360021006443370026006653380032006914900040007235040053007635050319008165200963011355380036020985380047021345880047021816500019022286500028022476530012022756530026022876530017023136530030023306530031023607100064023917760053024558300041025088560065025499781611973907SIAM20150626190106.0m eo d cr bn |||m|||a150622s2015 pau ob 001 0 eng d z 2015012804 a9781611973907 z9781611973891qprint50aOT142bSIAM a(CaBNVSL)slc92349242 a(OCoLC)911758298 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA224b.S34 2015eb04a518/.52231 aSchumaker, Larry L.,d1939-eauthor.10aSpline functions :bcomputational methods /cLarry L. Schumaker, Vanderbilt University, Nashville, Tennessee. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (xii, 389 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and indexes.0 aPreface -- Univariate splines -- Tensor-Product splines -- Computing with triangulations -- Computing with splines -- Macro-element interpolation methods -- Scattered data interpolation -- Scattered data fitting -- Shape control -- Boundary-value problems -- Spherical splines -- Applications of spherical splines.3 aThis book describes in detail the key algorithms needed for computing with spline functions and illustrates their use in solving several basic problems in numerical analysis, including function approximation, numerical quadrature, data fitting, and the numerical solution of PDE's. The focus is on computational methods for bivariate splines on triangulations in the plane and on the sphere, although both univariate and tensor-product splines are also discussed. The book contains numerous examples and figures to illustrate the methods and their performance. All of the algorithms in the book have been coded in a separate MATLAB package available for license. The package can be used to run all of the examples in the book and also provides readers with the essential tools needed to create software for their own applications. In addition to the included bibliography, a list of over 100 pages of additional references can be found on the book's website. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 5/20/2015. 0aSpline theory. 0aNumerical calculations. aSplines aComputational methods aData fitting aCurve and surface fitting aNumerical solution of PDEs2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015012804z9781611973891 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197390702477nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890200022002120240015002340350025002490400030002740500025003040820017003292450109003462600140004553000059005954900061006545040064007155050170007795060072009495200373010215300037013945380036014315380047014675880054015146500034015686530021016026530025016236530025016487000034016737000023017077100052017307760064017828300062018468560087019089780898718324SIAM20101024180209.0m eo d cr bn |||m|||a101020s2001 paua ob 001 0 eng d z 00053804 a9780898718324 (electronic bk.) z9780898716221 (print) z0898716625 (print) z0898714729 (pbk.)7 aMM052siam a(CaBNVSL)slc00225446 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA1637b.M356 2001eb04a621.36/722100aMathematical methods in image reconstructionh[electronic resource] /cFrank Natterer, Frank Wubbeling. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2001. a1 electronic text (xii, 216 p.) :bill., digital file.1 aSIAM monographs on mathematical modeling and computation aIncludes bibliographical references (p. 189-207) and index.0 aIntroduction -- Integral Geometry -- Tomography -- Stability and Resolution -- Reconstruction Algorithms -- Problems That Have Peculiarities -- Nonlinear Tomography.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aImage processingvCongresses. aImage processing aImage reconstruction aMathematical methods1 aNatterer, F.q(Frank),d1941-1 aWubbeling, Frank.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714729z9780898716221w(DLC) 00053804 0aSIAM monographs on mathematical modeling and computation.403SIAMuhttp://epubs.siam.org/ebooks/siam/mathematical_modeling_and_computation/mm0502678nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510500026002810820016003071000018003232450118003412600140004593000059005994900061006585040064007195050626007835060072014095200199014815300037016805380036017175380047017535880054018006500028018546530027018827000022019097000023019317100052019547760065020068300062020718560087021339780898718317SIAM20101024180035.0m eo d cr bn |||m|||a101020s2002 paua ob 001 0 eng d z 2001049846 a9780898718317 (electronic bk.) z9780898714838 (print) z0898714834 (pbk.)7 aMM062siam a(CaBNVSL)slc00225445 aCaBNVSLcCaBNVSLdCaBNVSL 4aHG3751.5b.T47 2002eb04a658.8/82211 aThomas, L. C.10aCredit scoring and its applicationsh[electronic resource] /cLyn C. Thomas, David B. Edelman, Jonathan N. Crook. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2002. a1 electronic text (xiv, 248 p.) :bill., digital file.1 aSIAM monographs on mathematical modeling and computation aIncludes bibliographical references (p. 233-244) and index.0 aThe History and Philosophy of Credit Scoring -- The Practice of Credit Scoring -- Economic Cycles and Lending and Debt Patterns -- Statistical Methods for Scorecard Development -- Nonstatistical Methods for Scorecard Development -- Markov Chain Models of Repayment and Usage Behavior -- Measuring Scorecard Performance -- Practical Issues of Scorecard Development -- Implementation and Areas of Application -- Applications of Scoring in Other Areas of Lending -- Applications of Scoring in Other Areas -- New Ways to Build Scorecards -- International Differences -- Profit Scoring, Risk-Based Pricing, and Securitization.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book details the mathematical models that help creditors make intelligent credit risk decisions. Also included in this book is a discussion of economic theories of consumers' use of credit. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aCredit scoring systems. aCredit scoring systems1 aEdelman, David B.1 aCrook, Jonathan N.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714834z9780898714838w(DLC) 2001049846 0aSIAM monographs on mathematical modeling and computation.403SIAMuhttp://epubs.siam.org/ebooks/siam/mathematical_modeling_and_computation/mm0603058nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510500023002810820014003041000027003182450135003452600140004803000060006204900061006805040064007415050928008055060072017335200240018055300037020455380036020825380047021185880054021656500038022196530024022577000026022817000027023077100052023347760065023868300062024518560087025139780898718300SIAM20101024180100.0m eo d cr bn |||m|||a101020s2002 paua ob 001 0 eng d z 2002029215 a9780898718300 (electronic bk.) z9780898715088 (print) z0898715083 (pbk.)7 aMM072siam a(CaBNVSL)slc00225444 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402b.S35 2002eb04a519.32211 aSalamon, Peter,d1950-10aFacts, conjectures, and improvements for simulated annealingh[electronic resource] /cPeter Salamon, Paolo Sibani, Richard Frost. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2002. a1 electronic text (xiii, 150 p.) :bill., digital file.1 aSIAM monographs on mathematical modeling and computation aIncludes bibliographical references (p. 129-137) and index.0 aPart I: Overview. Chapter 1: The Place of Simulated Annealing in the Arsenal of Global Optimization -- Chapter 2: Six Simulated Annealing Problems; Chapter 3: Nomenclature -- Chapter 4: Bare Bones Simulated Annealing -- Part II: Facts. Chapter 5: Equilibrium Statistical Mechanics -- Chapter 6: Relaxation Dynamics-Finite Markov Chains -- Part III: Improvements and Conjectures. Chapter 7: Ensembles -- Chapter 8: The Brick Wall Effect and Optimal Ensemble Size -- Chapter 9: The Objective Function -- Chapter 10: Move Classes and Their Implementations -- Chapter 11: Acceptance Rules -- Chapter 12: Thermodynamic Portraits -- Chapter 13: Selecting the Schedule -- Chapter 14: Estimating the Global Minimum Energy -- Part IV: Towards Structure Theory and Real Understanding. Chapter 15: Structure Theory of Complex Systems -- Chapter 16: What Makes Annealing Tick? -- Part V: Resources. Chapter 17: Supplementary Materials.1 aRestricted to subscribers or individual electronic text purchasers.3 aAn introduction to simulated annealing. This book brings together for the first time many of the theoretical foundations for improvements to algorithms for global optimization that until now existed only in scattered research articles. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aSimulated annealing (Mathematics) aSimulated annealing1 aSibani, Paolo,d1954-1 aFrost, Richard,d1955-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715083z9780898715088w(DLC) 2002029215 0aSIAM monographs on mathematical modeling and computation.403SIAMuhttp://epubs.siam.org/ebooks/siam/mathematical_modeling_and_computation/mm0702451nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500026002820820016003081000018003242450099003422600140004413000059005814900061006405040064007015050149007655060072009145200388009865300037013745380036014115380047014475880054014946500058015486500025016066530024016316530036016556530024016917100052017157760065017678300062018328560087018949780898718294SIAM20101024194004.0m eo d cr bn |||m|||a101020s2002 paua ob 001 0 eng d z 2002029186 a9780898718294 (electronic bk.) z9780898715194 (print) z0898715199 (print)7 aMM082siam a(CaBNVSL)slc00225443 aCaBNVSLcCaBNVSLdCaBNVSL 4aTK5103.4b.K35 2002eb04a621.3822211 aKaj, Ingemar.10aStochastic modeling in broadband communications systemsh[electronic resource] /cIngemar Kaj. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2002. a1 electronic text (xvi, 177 p.) :bill., digital file.1 aSIAM monographs on mathematical modeling and computation aIncludes bibliographical references (p. 167-171) and index.0 aIntroduction -- Markov Service Systems -- Non-Markov Systems -- Cell Switching Models -- Cell and Burst Scale Traffic Models -- Traffic Control.1 aRestricted to subscribers or individual electronic text purchasers.3 aProvides a concise overview of stochastic models and mathematical techniques for solving challenging mathematical and statistical problems and enhances readers' overall understanding of communication systems. The book also presents an excellent introduction to a huge area of interesting problems and models arising from modern developments in broadband channel transmission systems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aBroadband communication systemsxMathematical models. 0aStochastic analysis. aStochastic analysis aBroadband communication systems aMathematical models2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715199z9780898715194w(DLC) 2002029186 0aSIAM monographs on mathematical modeling and computation.403SIAMuhttp://epubs.siam.org/ebooks/siam/mathematical_modeling_and_computation/mm0802751nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510500027002810820022003081000031003302450133003612600140004943000072006344900061007065040064007675050349008315060072011805200457012525300037017095380036017465380047017825880054018296500043018836530021019266530024019477000022019717000022019937100052020157760065020678300062021328560087021949780898718287SIAM20101024180003.0m eo d cr cn |||m|||a101020s2004 paua ob 001 0 eng d z 2003067274 a9780898718287 (electronic bk.) z9780898715392 (print) z0898715393 (pbk.)7 aMM092siam a(CaBNVSL)slc00225442 aCaBNVSLcCaBNVSLdCaBNVSL 4aQP33.6.M36bA67 2004eb04a612/.001/51182221 aOttesen, Johnny T.,d1959-10aApplied mathematical models in human physiologyh[electronic resource] /cJohnny T. Ottesen, Mette S. Olufsen, Jesper K. Larsen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2004. a1 electronic text (xiii, 298 p.) :bill. (some col.), digital file.1 aSIAM monographs on mathematical modeling and computation aIncludes bibliographical references (p. 275-292) and index.0 aIntroduction -- Cardiovascular and Pulmonary Physiology and Anatomy -- Blood Flow in the Heart -- The Ejection Effect of the Pumping Heart -- Modeling Flow and Pressure in the Systemic Arteries -- A Cardiovascular Model -- A Baroreceptor Model -- Respiration -- Appendix A:The SIMA Simulator -- Appendix B: Momentum Equation for a Small Artery.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aHuman physiologyxMathematical models. aHuman physiology aMathematical models1 aOlufsen, Mette S.1 aLarsen, Jesper K.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715393z9780898715392w(DLC) 2003067274 0aSIAM monographs on mathematical modeling and computation.403SIAMuhttp://epubs.siam.org/ebooks/siam/mathematical_modeling_and_computation/mm0903066nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500024002820820022003061000021003282450159003492600140005083000070006484900037007185040064007555050269008195060072010885200693011605300037018535380036018905380047019265880054019736500056020276500037020836530015021206530024021356530024021596530021021836530038022047000026022427000043022687100052023117760065023638300038024288560082024669780898717488SIAM20101024180122.0m eo d cr cn |||m|||a101020s2005 paua ob 001 0 eng d z 2004065084 a9780898717488 (electronic bk.) z9780898715774 (print) z0898715776 (print)7 aFR312siam a(CaBNVSL)slc00225441 aCaBNVSLcCaBNVSLdCaBNVSL 4aHB1741b.I16 2005eb04a305.3/01/51182221 aIannelli, Mimmo.10aGender-structured population modelingh[electronic resource] :bmathematical methods, numerics, and simulations /cM. Iannelli, M. Martcheva, F.A. Milner. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2005. a1 electronic text (xv, 175 p.) :bill. (some col.), digital file.1 aFrontiers in applied mathematics aIncludes bibliographical references (p. 163-171) and index.0 aHistorical Perspective of Mathematical Demography -- Gender Structure and the Problem of Modeling Marriages -- Well-Posedness of the Fredrickson-Hoppensteadt Two-Sex Model -- Numerical Methods -- Age Profiles and Exponential Growth -- Appendix: The Main Algorithm.1 aRestricted to subscribers or individual electronic text purchasers.3 aGender-Structured Population Modeling gives a unified presentation of and mathematical framework for modeling population growth by couple formation. It provides an overview of both past and present modeling results. The authors focus on pair formation (marriage) and two-sex models with different forms of the marriage function -- the basis of couple formation -- and discuss which of these forms might make a better choice for a particular population (the United States). The book also provides results on model analysis, gives an up-to-date review of mathematical demography, discusses numerical methods, and puts deterministic modeling of human populations into historical perspective. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aSex distribution (Demography)xMathematical models. 0aPopulationxMathematical models. aDemography aPopulation dynamics aPopulation modeling aCouple formation aMathemtical methods of demography1 aMartcheva, M.q(Maia)1 aMilner, F. A.q(Fabio Augusto),d1954-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715776z9780898715774w(DLC) 2004065084 0aFrontiers in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr3102620nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510500026002810820024003071000018003312450103003492600140004523000061005924900037006535040064006905050315007545060072010695200420011415300037015615380036015985380047016345880054016816500052017356530019017876530035018066530020018416530016018617000024018777100052019017760065019538300038020188560082020569780898717495SIAM20101024180029.0m eo d cr bn |||m|||a101020s2005 paua ob 001 0 eng d z 2005046506 a9780898717495 (electronic bk.) z9780898715736 (print) z0898715733 (pbk.)7 aFR302siam a(CaBNVSL)slc00225440 aCaBNVSLcCaBNVSLdCaBNVSL 4aHG6024.A3bA26 2005eb04a332.64/53/015192221 aAchdou, Yves.10aComputational methods for option pricingh[electronic resource] /cYves Achdou, Olivier Pironneau. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2005. a1 electronic text (xviii, 297 p.) :bill., digital file.1 aFrontiers in applied mathematics aIncludes bibliographical references (p. 287-294) and index.0 aOption Pricing -- Black-Scholes Equation. Mathematical Analysis -- Finite Differences -- The Finite Element Method -- Adaptive Mesh Refinement -- American Options -- Sensitivities and Calibration -- Calibration of Local Volatility with European Options -- Calibration of Local Volatility with American Options.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe authors review some important aspects of finance modeling involving partial differential equations and focus on numerical algorithms for the fast and accurate pricing of financial derivatives and for the calibration of parameters. This book explores the best numerical algorithms and discusses them in depth, from their mathematical analysis up to their implementation in C++ with efficient numerical libraries. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aOptions (Finance)xPricesxMathematical models. aOption pricing aPartial differential equations aMesh adaptation aCalibration1 aPironneau, Olivier.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715733z9780898715736w(DLC) 2005046506 0aFrontiers in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr3002339nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510500025002810820018003061000023003242450125003472600140004723000059006124900043006715040064007145050194007785060072009725200135010445300037011795380036012165380047012525880054012996500020013536500026013736500032013996500019014316530019014506530025014696530014014946530020015086530018015287000020015467100052015667760065016188300044016838560082017279780898717501SIAM20101024180011.0m eo d cr bn |||m|||a101020s2003 paua ob 001 0 eng d z 2003061618 a9780898717501 (electronic bk.) z9780898715514 (print) z0898715512 (pbk.)7 aFR292siam a(CaBNVSL)slc00225439 aCaBNVSLcCaBNVSLdCaBNVSL 4aQH323.5b.D39 2003eb04a570/.15/12221 aDay, William H. E.10aAxiomatic consensus theory in group choice and biomathematicsh[electronic resource] /cWilliam H.E. Day, F.R. McMorris. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2003. a1 electronic text (xvi, 155 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v29 aIncludes bibliographical references (p. 119-146) and index.0 aAchieving Consensus -- Axiomatics in Group Choice -- Impossibilities in Bioconsensus -- Possibilities in Bioconsensus -- General Models of Consensus -- Beyond Consensus -- Quick References.1 aRestricted to subscribers or individual electronic text purchasers.3 aProvides a unique comprehensive review of axiomatic consensus theory in biomathematics as it has developed over the past 30 years. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aBiomathematics. 0aAxiomatic set theory. 0aConsensus (Social sciences) 0aSocial choice. aBiomathematics aAxiomatic set theory aConsensus aSocial sciences aSocial choice1 aMcMorris, F. R.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715512z9780898715514w(DLC) 2003061618 0aFrontiers in applied mathematics ;v29.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2903966nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510430012002810500026002930820018003192450148003372600140004853000057006254900043006825040051007255051168007765060072019445200632020165300037026485380036026855380047027215880054027686500045028226500039028676500055029066510050029616530023030116530024030346530017030586530018030756530036030937000022031297000030031517100052031817760065032338300044032988560082033429780898717518SIAM20101024180017.0m eo d cr bn |||m|||a101020s2003 paua ob 001 0 eng d z 2003060646 a9780898717518 (electronic bk.) z9780898715491 (print) z0898715490 (pbk.)7 aFR282siam a(CaBNVSL)slc00225438 aCaBNVSLcCaBNVSLdCaBNVSL an-us--- 4aUG447.8b.B585 2003eb04a363.34/9722200aBioterrorismh[electronic resource] :bmathematical modeling applications in homeland security /cedited by H.T. Banks, Carlos Castillo-Chavez. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2003. a1 electronic text (x, 240 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v28 aIncludes bibliographical references and index.0 aChallenges for Discrete Mathematics and Theoretical Computer Science in the Defense against Bioterrorism / Fred S. Roberts -- Worst-Case Scenarios and Epidemics / Gerardo Chowell and Carlos Castillo-Chavez -- Chemical and Biological Sensing: Modeling and Analysis from the Real World / Ira B. Schwartz, Lora Billings, David Holt, Anne W. Kusterbeck, and Ioana Triandaf -- The Distribution of Interpoint Distances / Marco Bonetti, Laura Forsberg, Al Ozonoff, and Marcello Pagano -- Epidemiologic Information for Modeling Foot-and-Mouth Disease / Thomas W. Bates, Mark C. Thurmond, and Tim E. Carpenter -- Modeling and Imaging Techniques with Potential for Application in Bioterrorism / H. T. Banks, David Bortz, Gabriella Pinter, and Laura Potter -- Models for the Transmission Dynamics of Fanatic Behaviors / Carlos Castillo-Chavez and Baojun Song -- An Epidemic Model with Virtual Mass Transportation: The Case of Smallpox in a Large City / Carlos Castillo-Chavez, Baojun Song, and Juan Zhang -- The Role of Migration and Contact Distributions in Epidemic Spread / K. P. Hadeler -- Modeling the Spread of Influenza among Cities / James M. Hyman and Tara LaForce.1 aRestricted to subscribers or individual electronic text purchasers.3 aBioterrorism: Mathematical Modeling Applications in Homeland Security collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror. The ten chapters of this volume touch on a large range of issues in the subfields of biosurveillance, agroterrorism, bioterror response logistics, deliberate release of biological agents, impact assessment, and the spread of fanatic behaviors. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aBiological warfarexMathematical models. 0aBioterrorismxMathematical models. 0aCivil defensezUnited StatesxMathematical models. 0aUnited StatesxDefensesxMathematical models. aBiological warfare aMathematical models aBioterrorism aCivil defense aUnited States Homeland Security1 aBanks, H. Thomas.1 aCastillo-Chavez, Carlos.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715490z9780898715491w(DLC) 2003060646 0aFrontiers in applied mathematics ;v28.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2803610nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510500025002810820016003062450131003222600140004533000059005934900037006525040051006895051093007405060072018335200664019055300037025695380036026065380047026425880054026896500020027436500035027636530019027986530034028177000028028517000024028797100052029037760065029558300038030208560082030589780898717525SIAM20101024193946.0m eo d cr bn |||m|||a101020s2003 paua ob 001 0 eng d z 2003044299 a9780898717525 (electronic bk.) z9780898715484 (print) z0898715482 (pbk.)7 aFR272siam a(CaBNVSL)slc00225437 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.R48 2003eb04a003/.7822200aResearch directions in distributed parameter systemsh[electronic resource] /cedited by Ralph C. Smith, Michael A. Demetriou. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2003. a1 electronic text (xix, 271 p.) :bill., digital file.1 aFrontiers in applied mathematics aIncludes bibliographical references and index.0 aMathematics and Electromagnetic Theory / Richard Albanese, Richard Medina and John Penn -- Nonlinear Distributed Parameter Control Systems with Non-Normal Linearization: Applications and Approximations / John A. Burns -- Homogenization and Applications to Material Sciences / Doina Cioranescu -- Model Reduction for Control Design for Distributed Parameter Systems / Ruth F. Curtain -- Max-Plus Linear Partial Differential Equations / Wendell H. Fleming -- Geometric Theory of Output Regulations for Linear Distributed Parameter Systems / C.I. Byrnes, D.S. Gilliam and V.I. Shubov -- Smart Structures, Structural Health Monitoring and Crack Detection / Daniel J. Inman and Sergio H.S. Carneiro -- Survey of Research in Modeling the Human Respiratory and Cardiovascular Systems / F. Kappel and J.J. Batzel -- Inverse Problems Related to Electromagnetic Nondestructive Evaluation / Fumio Kojima -- Some Sub-Optimal Strategies for Numerical Realization of Large Scale Optimal Control Problems / Karl Kunisch -- Results and Conjectures for the Control of Navier-Stokes Equations / J.L. Lions.1 aRestricted to subscribers or individual electronic text purchasers.3 aWritten by the plenary speakers for the Conference on Future Directions in Distributed Parameter Systems (October 2000), the volume addresses the state of the art, open questions, and important research directions in applications modeled by partial differential equations and delay systems. Topics include electromagnetic theory for dielectric and conductive materials, flow control, cardiovascular and respiratory models, homogenization and systems theory, optimal and geometric control, reduced-order models for large-scale systems, smart materials, and nondestructive evaluation and structural health monitoring for systems, including nuclear power plants. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aControl theory. 0aDistributed parameter systems. aControl theory aDistributed parameter systems1 aSmith, Ralph C.,d1960-1 aDemetriou, Michael.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715482z9780898715484w(DLC) 2003044299 0aFrontiers in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2702849nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500023002820820023003051000025003282450083003532600141004363000057005774900037006345040064006715050228007355060072009635200708010355300037017435380036017805380047018165880054018636500038019176500027019556500019019826530021020016530024020226530016020466530026020626530018020887100052021067760065021588300038022238560082022619780898717532SIAM20101024180112.0m eo d cr bn |||m|||a101021s2003 paua ob 001 0 eng d z 2002036509 a9780898717532 (electronic bk.) z9780898716993 (print) z0898715334 (print)7 aFR262siam a(CaBNVSL)slc00225436 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA645b.H63 2003eb04a620/.001/515352211 aHollig, K.q(Klaus)10aFinite element methods with B-splinesh[electronic resource] /cKlaus Hollig. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),cc2003. a1 electronic text (x, 145 p.) :bill., digital file.1 aFrontiers in applied mathematics aIncludes bibliographical references (p. 137-142) and index.0 aIntroduction - Basic Finite Element Concepts -- B-Splines -- Finite Element Bases -- Approximation with Weighted Splines -- Boundary Value Problems -- Multigrid Methods -- Implementation -- Appendix -- Notation and Symbols.1 aRestricted to subscribers or individual electronic text purchasers.3 aFinite Element Methods with B-Splines describes new weighted approximation techniques, combining the computational advantages of B-splines and standard finite elements. In particular, no grid generation is necessary, which eliminates a difficult and often time-consuming preprocessing step. The meshless methods are very efficient and yield highly accurate solutions with relatively few parameters. This is illustrated for typical boundary value problems in fluid flow, heat conduction, and elasticity. Topics discussed by the author include basic finite element theory, algorithms for B-splines, weighted bases, stability and error estimates, multigrid techniques, applications, and numerical examples. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aStructural analysis (Engineering) 0aFinite element method. 0aSpline theory. aInverse problems aStructural analysis aEngineering aFinite element method aSpline theory2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715334z9780898716993w(DLC) 2002036509 0aFrontiers in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2602790nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500024002820820018003061000031003242450148003552600140005033000071006434900037007145040051007515050215008025060072010175200596010895300037016855380036017225380047017585880054018056500045018596500031019046530023019356530024019586530030019826530026020127000021020387100052020597760065021118300038021768560082022149780898717556SIAM20101024180043.0m eo d cr cn |||m|||a101020s2002 paua ob 001 0 eng d z 2002075757 a9780898717556 (electronic bk.) z9780898715248 (print) z0898715245 (print)7 aFR252siam a(CaBNVSL)slc00225435 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA174b.S762 2002eb04a620/.00422211 aStanley, Lisa Gayle Davis.10aDesign sensitivity analysish[electronic resource] :bcomputational issues of sensitivity equation methods /cLisa G. Stanley, Dawn L. Stewart. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2002. a1 electronic text (xxi, 139 p.) :bill. (some col.), digital file.1 aFrontiers in applied mathematics aIncludes bibliographical references and index.0 aIntroduction -- Mathematical Framework -- Model -- Computational Algorithms -- Numerical Results -- Mathematical Framework for Navier-Stokes Equations -- 2D Flow Problems -- Adaptive Mesh Refinement Strategies.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides an understandable introduction to one approach to design sensitivity computation and illustrates some of the important mathematical and computational issues inherent in using the sensitivity equation method (SEM) for partial differential equations. The authors use basic models to illustrate the computational issues that one might encounter when applying the SEM in a laboratory or research setting, while providing an overview of applications and computational issues regarding sensitivity calculations performed by way of continuous sensitivity equation methods (CSEM). aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aEngineering designxMathematical models. 0aMathematical optimization. aEngineering design aMathematical models aMathematical optimization aComputational methods1 aStewart, Dawn L.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715245z9780898715248w(DLC) 2002075757 0aFrontiers in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2504003nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500023002820820017003051000020003222450135003422600140004773000059006174900043006765040064007195050823007835060072016065200790016785200392024685300037028605380036028975380047029335880054029806500030030346500019030646500024030836530023031076530029031306530018031596530023031777000015032007000015032157100052032307760065032828300044033478560082033919780898717563SIAM20101024180238.0m eo d cr bn |||m|||a101020s2002 paua ob 001 0 eng d z 2002017737 a9780898717563 (electronic bk.) z9780898715057 (print) z0898715059 (print)7 aFR242siam a(CaBNVSL)slc00225434 aCaBNVSLcCaBNVSLdCaBNVSL 4aTJ217b.L47 2002eb04a629.8/362211 aLewis, Frank L.10aNeuro-fuzzy control of industrial systems with actuator nonlinearitiesh[electronic resource] /cF.L. Lewis, J. Campos, R. Selmic. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2002. a1 electronic text (xiv, 244 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v24 aIncludes bibliographical references (p. 233-240) and index.0 aBackground on Neural Networks and Fuzzy Logic Systems -- Background on Dynamical Systems and Industrial Actuators -- Neurocontrol of Systems with Friction -- Neural and Fuzzy Control of Systems with Deadzones -- Neural Control of Systems with Backlash -- Fuzzy Logic Control of Vehicle Active Suspension -- Neurocontrol Using the Adaptive Critic Architecture -- Neurocontrol of Telerobotic Systems with Time Delays -- Implementation of Neural Network Control Systems -- Appendix A: C Code for Neural Network Friction Controller -- Appendix B: C Code for Continuous-Time Neural Network Deadzone Controller -- Appendix C: C Code for Discrete-Time Neural Network Backlash Controller -- Appendix D: Versatile Real-Time Executive Code for Implementation of Neural Network Backstepping Controller on ATB1000 Tank Gun Barrel.1 aRestricted to subscribers or individual electronic text purchasers.3 aNeural networks and fuzzy systems are model free control design approaches that represent an advantage over classical control when dealing with complicated nonlinear actuator dynamics. Neuro-Fuzzy Control of Industrial Systems with Actuator Nonlinearities brings neural networks and fuzzy logic together with dynamical control systems. Each chapter presents powerful control approaches for the design of intelligent controllers to compensate for actuator nonlinearities such as time delay, friction, deadzone, and backlash that can be found in all industrial motion systems, plus a thorough development, rigorous stability proofs, and simulation examples for each design. In the final chapter, the authors develop a framework to implement intelligent control schemes on actual systems.8 aRigorous stability proofs are further verified by computer simulations, and appendices contain the computer code needed to build intelligent controllers for real-time applications. Neural networks capture the parallel processing and learning capabilities of biological nervous systems, and fuzzy logic captures the decision-making capabilities of human linguistics and cognitive systems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aAdaptive control systems. 0aFuzzy systems. 0aNonlinear theories. aIndustrial systems aAdaptive control systems aFuzzy systems aNonlinear theories1 aCampos, J.1 aSelmic, R.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715059z9780898715057w(DLC) 2002017737 0aFrontiers in applied mathematics ;v24.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2403076nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200026001890200023002150240015002380350025002530400030002780500024003080820016003321000021003482450090003692600141004593000059006004900037006595040064006965050260007605060072010205200476010925200437015685300037020055380036020425380047020785880054021256500068021796530021022476530027022686530024022956530026023197100052023457760065023978300038024628560082025009780898717570SIAM20101024180027.0m eo d cr bn |||m|||a101021s2002 paua ob 001 0 eng d z 2002022386 a9780898717570 (electronic bk.) z9780898715504 (print) z9780898715507 (print) z0898715075 (print)7 aFR232siam a(CaBNVSL)slc00225433 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.V575 2002eb04a515/.352211 aVogel, Curtis R.10aComputational methods for inverse problemsh[electronic resource] /cCurtis R. Vogel. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),cc2002. a1 electronic text (xvi, 183 p.) :bill., digital file.1 aFrontiers in applied mathematics aIncludes bibliographical references (p. 173-180) and index.0 aIntroduction -- Analytical Tools -- Numerical Optimization Tools -- Statistical Estimation Theory -- Image Deblurring -- Parameter Identification -- Regularization Parameter Selection Methods -- Total Variation Regularization -- Nonnegativity Constraints.1 aRestricted to subscribers or individual electronic text purchasers.3 aInverse problems arise in a number of important practical applications, ranging from biomedical imaging to seismic prospecting. This book provides the reader with a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems. It also addresses specialized topics like image reconstruction, parameter identification, total variation methods, nonnegativity constraints, and regularization parameter selection methods.8 aSeveral web-based resources are available to make this monograph interactive, including a collection of MATLAB m-files used to generate many of the examples and figures. These resources provide templates for the implementation of regularization methods and numerical solution techniques for other inverse problems. Moreover, they include some realistic test problems to be used to further develop and test various numerical methods. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aInverse problems (Differential equations)xNumerical solutions. aInverse problems aDifferential equations aNumerical solutions aComputational methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715075z9780898715504w(DLC) 2002022386 0aFrontiers in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2302729nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880240015002100350025002250400030002500500024002800820017003041000027003212450104003482600140004523000059005924900031006515040064006825050602007465060072013485200277014205300037016975380036017345380047017705880054018176500046018716530021019176530019019386530021019576530022019786530022020007100052020227760065020748300032021398560076021719780898718836SIAM20101024180049.0m eo d cr bn |||m|||a101020s2010 paua ob 001 0 eng d z 2009047057 a9780898718836 (electronic bk.) z9780898716962 (pbk.) z0898716969 (pbk.)7 aFA072siam a(CaBNVSL)slc00225432 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA371b.H365 2010eb04a515/.3572221 aHansen, Per Christian.10aDiscrete inverse problemsh[electronic resource] :binsight and algorithms /cPer Christian Hansen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2010. a1 electronic text (xii, 213 p.) :bill., digital file.1 aFundamentals of algorithms aIncludes bibliographical references (p. 205-209) and index.0 aIntroduction and Motivation -- Meet the Fredholm Integral Equation of the First Kind -- Getting to Business : Discretizations of Linear Inverse Problems -- Computational Aspects : Regularization Methods -- Getting Serious : Choosing the Regularization Parameter -- Toward Real-World Problems : Iterative Regularization -- Regularization Methods at Work : Solving Real Problems -- Beyond the 2-Norm : The Use of Discrete Smoothing Norms -- Appendix A : Linear Algebra Stuff -- Appendix B : Symmetric Toeplitz-Plus-Hankel Matrices and the DCT -- Appendix C : Early Work on "Tikhonov Regularization".1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aInverse problems (Differential equations) aInverse problems aRegularization aParameter choice aIterative methods aNumerical methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716969z9780898716962w(DLC) 2009047057 0aFundamentals of algorithms.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0703038nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500023002820820021003052450121003262600140004473000071005874900037006585040051006955050738007465060072014845200484015565300037020405380036020775380047021135880054021606500025022146530011022396530026022507000015022767000022022917000018023137100052023317760065023838300038024488560082024869780898717594SIAM20101024180213.0m eo d cr cn |||m|||a101020s2001 paua ob 001 0 eng d z 00067125 a9780898717594 (electronic bk.) z9780898714753 (print) z0898714753 (print)7 aFR222siam a(CaBNVSL)slc00225431 aCaBNVSLcCaBNVSLdCaBNVSL 4aQC372b.M37 2001eb04a535/.01/511822100aMathematical modeling in optical scienceh[electronic resource] /cedited by Gang Bao, Lawrence Cowsar, Wen Masters. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2001. a1 electronic text (xvi, 333 p.) :bill. (some col.), digital file.1 aFrontiers in applied mathematics aIncludes bibliographical references and index.0 aOverview and Applications of Diffractive Optics Technology / J. Allen Cox -- Variational Methods for Diffractive Optics Modeling / Gang Bao and David C. Dobson -- High-Order Boundary Perturbation Methods / Oscar P. Bruno and Fernando Reitich -- Mathematical Reflections on the Fourier Modal Method in Grating Theory / Lifeng Li -- Electromagnetic Models for Finite Aperiodic Diffractive Optical Elements / Dennis W. Prather, Mark S. Mirotznik, and Shouyuan Shi -- Analysis of the Diffraction from Chiral Gratings / Habib Ammari and Jean Claude Nedelec -- The Mathematics of Photonic Crystals / Peter Kuchment -- Mathematical Analysis and Numerical Approximation of Optical Waveguides / Anne-Sophie Bonnet-Ben Dhia and Patrick Joly.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aOpticsxMathematics. aOptics aMathematical modeling1 aBao, Gang.1 aCowsar, Lawrence.1 aMasters, Wen.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714753z9780898714753w(DLC) 00067125 0aFrontiers in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr2202721nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110160018001280200035001460200026001810200023002070240015002300350025002450400030002700500025003000820016003251000022003412450098003632600140004613000071006014900039006725040051007115050264007625060072010265200540010985300037016385380036016755380047017115880054017586500037018126500016018496530021018656530023018866530025019096530022019346530026019567100052019827760065020348300040020998560076021399780898718843SIAM20101024180102.0m eo d cr cn |||m|||a101020s2009 paua ob 001 0 eng d z 20090251077 a0154161872Uk a9780898718843 (electronic bk.) z9780898716900 (print) z089871690X (print)7 aFA062siam a(CaBNVSL)slc00225430 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA1637b.M628 2009eb04a006.3/72221 aModersitzki, Jan.10aFAIRh[electronic resource] :bflexible algorithms for image registration /cJan Modersitzki. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2009. a1 electronic text (xxi, 189 p.) :bill. (some col.), digital file.1 aFundamentals of algorithms ;vFA06 aIncludes bibliographical references and index.0 aIntroduction -- FAIR Concepts -- Image Interpolation -- Transforming Images by Parameterized Transformations -- Landmark-Based Registration -- Parametric Image Registration -- Distance Measures -- Regularization -- Nonparametric Image Registration -- Outlook.1 aRestricted to subscribers or individual electronic text purchasers.3 aWhenever images taken at different times, from different viewpoints, and/or by different sensors need to be compared, merged, or integrated, image registration is required. Registration, also known as alignment, fusion, or warping, is the process of transforming data into a common reference frame. This book provides an overview of state-of-the-art registration techniques from theory to practice, numerous exercises, and via a supplementary Web page, free access to FAIR.m, a package that is based on the MATLAB software environment. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aImage registrationxMathematics. 0aAlgorithms. aImage processing aImage registration aElastic registration aNumerical methods aNumerial optimization2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871690Xz9780898716900w(DLC) 2009025107 0aFundamentals of algorithms ;vFA06.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0603095nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200031001630200028001940240015002220350025002370400030002620500025002920820016003171000029003332450112003622600140004743000059006144900031006735040064007045050173007685060072009415200442010135200482014555300037019375380036019745380047020105880054020576500036021116500023021476500024021706530021021946530030022156530020022456530029022656530026022947000020023207100052023407760065023928300032024578560076024899780898718850SIAM20101024180140.0m eo d cr bn |||m|||a101020s2007 paua ob 001 0 eng d z 2007061742 a9780898718850 (electronic bk.) z9780898716368 (alk. paper) z0898716365 (alk. paper)7 aFA052siam a(CaBNVSL)slc00225429 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297.8b.C43 2007eb04a518/.262221 aChan, Raymond H.,d1958-13aAn introduction to iterative Toeplitz solversh[electronic resource] /cRaymond Hon-Fu Chan, Ziao-Qing Jin. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2007. a1 electronic text (xii, 111 p.) :bill., digital file.1 aFundamentals of algorithms aIncludes bibliographical references (p. 103-108) and index.0 aIntroduction -- Circulant Preconditioners -- Unified Treatment from Kernels -- Ill-Conditioned Toeplitz Systems -- Block Toeplitz Systems -- A M-files used in the book.1 aRestricted to subscribers or individual electronic text purchasers.3 aToeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, including numerical partial and ordinary differential equations, numerical solutions of convolution-type integral equations, stationary autoregressive time series in statistics, minimal realization problems in control theory, system identification problems in signal processing, and image restoration problems in image processing.8 aIntroduces current developments in using iterative methods for solving Toeplitz systems based on the preconditioned conjugate gradient method. The authors focus on the important aspects of iterative Toeplitz solvers and give special attention to the construction of efficient circulant preconditioners. Applications of iterative Toeplitz solvers to practical problems are addressed. An appendix containing the MATLAB programs used to generate the numerical results is included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aIterative methods (Mathematics) 0aToeplitz matrices. 0aToeplitz operators. aIterative method aConjugate gradient method aToeplitz system aCirculant preconditioner aBlock-Toeplitz system1 aJin, Xiao-Qing.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716365z9780898716368w(DLC) 2007061742 0aFundamentals of algorithms.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0502878nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200038001630200035002010240015002360350025002510400030002760500028003060820015003341000025003492450097003742600140004713000057006114900031006685040064006995050663007635060072014265200293014985300037017915380036018285380047018645880054019116500017019656500054019826500022020366530011020586530016020696530027020856530016021126530019021287100052021477760065021998300032022648560076022969780898718867SIAM20101024180225.0m eo d cr bn |||m|||a101020s2007 paua ob 001 0 eng d z 2006041348 a9780898718867 (electronic bk.) z9780898716269 (pbk. : alk. paper) z0898716268 (pbk. : alk. paper)7 aFA042siam a(CaBNVSL)slc00225428 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.9.D343bE52 2007eb04a05.7422201 aElden, Lars,d1944-10aMatrix methods in data mining and pattern recognitionh[electronic resource] /cLars Elden. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2007. a1 electronic text (x, 224 p.) :bill., digital file.1 aFundamentals of algorithms aIncludes bibliographical references (p. 209-216) and index.0 aI Linear Algebra Concepts and Matrix Decompositions -- Vectors and Matrices in Data Mining and Pattern Recognition -- Vectors and Matrices -- Linear Systems and Least Squares -- Orthogonality -- QR Decomposition -- Singular Value Decomposition -- Reduced Rank Least Squares Models -- Tensor Decomposition -- Clustering and Non-Negative Matrix Factorization -- II Data Mining Applications -- Classification of Handwritten Digits -- Text Mining -- Page Ranking for a Web Search Engine -- Automatic Key Word and Key Sentence Extraction -- Face Recognition Using Tensor SVD -- III Computing the Matrix Decompositions -- Computing Eigenvalues and Singular Values.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis application-oriented book describes how modern matrix methods can be used to solve problems in data mining and pattern recognition, gives an introduction to matrix theory and decompositions, and provides students with a set of tools that can be modified for a particular application. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aData mining. 0aPattern recognition systemsxMathematical models. 0aAlgebras, Linear. aMatrix aData mining aLow-rank approximation aComputation aClassification2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716268z9780898716269w(DLC) 2006041348 0aFundamentals of algorithms.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0402766nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200026001850240015002110350025002260350026002510400030002770500025003070820023003321000027003552450140003822600140005223000071006624900031007335040064007645050277008285060072011055200450011775300037016275380036016645380047017005880054017476500043018016530021018446530033018656530027018986530014019256530019019396530011019587000019019697000023019887100052020117760065020638300032021288560076021609780898718874SIAM20101024180039.0m eo d cr cn |||m|||a101020s2006 paua ob 001 0 eng d z 2006050450 a9780898718874 (electronic bk.) z0898716187 (pbk.) z9780898716184 (print)7 aFA032siam a(CaBNVSL)slc00225427 a(CaBNVSL)slc00225427 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA1637b.H364 2006eb04a621.36/70151182221 aHansen, Per Christian.10aDeblurring imagesh[electronic resource] :bmatrices, spectra, and filtering /cPer Christian Hansen, James G. Nagy, Dianne P. O'Leary. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2006. a1 electronic text (xiv, 130 p.) :bill. (some col.), digital file.1 aFundamentals of algorithms aIncludes bibliographical references (p. 121-125) and index.0 aThe Image Deblurring Problem -- Manipulating Images in MATLAB -- The Blurring Function -- Structured Matrix Computations -- SVD and Spectral Analysis -- Regularization by Spectral Filtering -- Color Images, Smoothing Norms, and Other Topics -- Appendix : MATLAB Functions.1 aRestricted to subscribers or individual electronic text purchasers.3 aDescribes the deblurring algorithms and techniques collectively known as spectral filtering methods, in which the singular value decomposition, or a similar decomposition with spectral properties, is used to introduce the necessary regularization or filtering in the reconstructed image. The concise MATLAB implementations described in the book provide a template of techniques that can be used to restore blurred images from many applications. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aImage processingxMathematical models. aImage deblurring aSingular value decomposition aSpectral decomposition aFiltering aRegularization aMATLAB1 aNagy, James G.1 aO'Leary, Dianne P.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716187z9780898716184w(DLC) 2006050450 0aFundamentals of algorithms.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0302528nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880240015002100350025002250400030002500500024002800820018003041000022003222450089003442600140004333000053005734900031006265040064006575050397007215060072011185200335011905300037015255380036015625380047015985880054016456500021016996500020017206530011017406530011017516530015017626530013017776530019017907100052018097760065018618300032019268560076019589780898718881SIAM20101024180045.0m eo d cr bn |||m|||a101020s2006 pau ob 001 0 eng d z 2006044387 a9780898718881 (electronic bk.) z9780898716139 (pbk.) z0898716136 (pbk.)7 aFA022siam a(CaBNVSL)slc00225426 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.D386 2006eb04a512.9/4342221 aDavis, Timothy A.10aDirect methods for sparse linear systemsh[electronic resource] /cTimothy A. Davis. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2006. a1 electronic text (xii, 217 p.) :bdigital file.1 aFundamentals of algorithms aIncludes bibliographical references (p. 195-209) and index.0 aChapter 1: Introduction -- Chapter 2: Basic algorithms -- Chapter 3: Solving triangular systems -- Chapter 4: Cholesky factorization -- Chapter 5: Orthogonal methods -- Chapter 6: LU factorization -- Chapter 7: Fill-reducing orderings -- Chapter 8: Solving sparse linear systems -- Chapter 9: CSparse -- Chapter 10: Sparse matrices in MATLAB -- Appendix: Basics of the C programming language.1 aRestricted to subscribers or individual electronic text purchasers.3 aPresents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aSparse matrices. 0aLinear systems. aSparse aMatrix aAlgorithms aSoftware aLinear algebra2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716136z9780898716139w(DLC) 2006044387 0aFundamentals of algorithms.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0202719nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200022001890240015002110350025002260400030002510500026002810820015003071000018003222450092003402600140004323000060005724900031006325040063006635050143007265060072008695200696009415300037016375380036016745380047017105880054017576500027018116500036018386500024018746530024018986530020019226530022019426530011019646530013019757100052019887760065020408300032021058560076021379780898718898SIAM20101024193954.0m eo d cr bn |||m|||a101020s2003 paua ob 001 0 eng d z 2003050663 a9780898718898 (electronic bk.) z9780898715460 (print) z0898715466 (pbk.)7 aFA012siam a(CaBNVSL)slc00225425 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297.8b.K455 2003eb04a511/.42211 aKelley, C. T.10aSolving nonlinear equations with Newton's methodh[electronic resource] /cC.T. Kelley. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2003. a1 electronic text (xiii, 104 p.) :bill., digital file.1 aFundamentals of algorithms aIncludes bibliographical references (p. 97-102) and index.0 aHow to Get the Software -- Introduction -- Finding the Newton Step with Gaussian Elimination -- Newton-Krylov Methods -- Broyden's Method.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. It contains trouble-shooting guides to the major algorithms, their most common failure modes, and the likely causes of failure. It also includes many worked-out examples (available on the SIAM website) in pseudocode and a collection of MATLAB codes, allowing readers to experiment with the algorithms easily and implement them in other languages. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aNewton-Raphson method. 0aIterative methods (Mathematics) 0aNonlinear theories. aNonlinear equations aNewton's method aIterative solvers aMatlab aSoftware2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715466z9780898715460w(DLC) 2003050663 0aFundamentals of algorithms.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0102935nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500024002820820014003061000020003202450126003402600140004663000059006064900061006655040064007265050302007905060072010925200640011645300037018045380036018415380047018775880054019246500023019786500020020016500016020216500023020376530020020606530022020806530025021027000036021277100052021637760065022158300062022808560087023429780898718492SIAM20101024175951.0m eo d cr bn |||m|||a101020s2005 paua ob 001 0 eng d z 2004057838 a9780898718492 (electronic bk.) z9780898715699 (print) z0898715695 (print)7 aDT112siam a(CaBNVSL)slc00225424 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA276b.D653 2005eb04a004.62221 aDomosi, Pal.10aAlgebraic theory of automata networksh[electronic resource] :ban introduction /cPal Domosi, Chrystopher L. Nehaniv. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2005. a1 electronic text (xii, 258 p.) :bill., digital file.1 aSIAM monographs on discrete mathematics and applications aIncludes bibliographical references (p. 237-252) and index.0 aPreliminaries -- Directed Graphs, Automata, and Automata Networks -- Krohn-Rhodes Theory and Complete Classes -- Without Letichevsky's Criterion -- Letichevsky's Criterion -- Primitive Products and Temporal Products -- Finite State-Homogeneous Automata Networks and Asynchronous Automata Networks.1 aRestricted to subscribers or individual electronic text purchasers.3 aInvestigates automata networks as algebraic structures and develops their theory in line with other algebraic theories, such as those of semigroups, groups, rings, and fields. The authors also investigate automata networks as products of automata, that is, as compositions of automata obtained by cascading without feedback or with feedback of various restricted types or, most generally, with the feedback dependencies controlled by an arbitrary directed graph. They survey and extend the fundamental results in regard to automata networks, including the main decomposition theorems of Letichevsky, of Krohn and Rhodes, and of others. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based of title page of print version. 0aComputer networks. 0aMachine theory. 0aSemigroups. 0aAlgebra, Abstract. aFinite automata aAutomata networks aProducts of automata1 aNehaniv, Chrystopher L.,d1963-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715695z9780898715699w(DLC) 2004057838 0aSIAM monographs on discrete mathematics and applications.403SIAMuhttp://epubs.siam.org/ebooks/siam/discrete_mathematics_and_applications/dt1103059nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500025002820820015003071000026003222450069003482600140004173000060005574900061006175040064006785050428007425060072011705200766012425300037020085380036020455380047020815880054021286500022021826500017022046500027022216530021022486530016022696530026022857100052023117760065023638300062024288560087024909780898718508SIAM20101024180047.0m eo d cr bn |||m|||a101020s2003 paua ob 001 0 eng d z 2003042468 a9780898718508 (electronic bk.) z9780898715408 (print) z0898715407 (print)7 aDT102siam a(CaBNVSL)slc00225423 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA331.5b.M87 2003eb04a515/.82211 aMurota, Kazuo,d1955-10aDiscrete convex analysish[electronic resource] /cKazuo Murota. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2003. a1 electronic text (xxii, 389 p.) :bill., digital file.1 aSIAM monographs on discrete mathematics and applications aIncludes bibliographical references (p. 363-377) and index.0 aIntroduction to the Central Concepts -- Convex Functions with Combinatorial Structures -- Convex Analysis, Linear Programming, and Integrality -- M-Convex Sets and Submodular Set Functions -- L-Convex Sets and Distance Functions -- M-Convex Functions -- L-Convex Functions -- Conjugacy and Duality -- Network Flows -- Algorithms -- Application to Mathematical Economics -- Application to Systems Analysis by Mixed Matrices.1 aRestricted to subscribers or individual electronic text purchasers.3 aDiscrete Convex Analysis is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical framework for nonlinear discrete optimization. The study of this theory is expanding with the development of efficient algorithms and applications to a number of diverse disciplines like matrix theory, operations research, and economics. This self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aConvex functions. 0aConvex sets. 0aMathematical analysis. aConvex functions aConvex sets aMathematical analysis2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715407z9780898715408w(DLC) 2003042468 0aSIAM monographs on discrete mathematics and applications.403SIAMuhttp://epubs.siam.org/ebooks/siam/discrete_mathematics_and_applications/dt1003721nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700200035001110200026001460200023001720240015001950350025002100400030002350500025002650820021002902450094003112600140004053000061005454900061006065040051006675050972007185060072016905200384017625200574021465300037027205380036027575380047027935880054028406500042028946530028029366530016029647000017029807000019029977100052030167760046030688300062031148560087031769780898718515SIAM20101024194025.0m eo d cr bn |||m|||a101020s2001 paua ob 001 0 eng d a9780898718515 (electronic bk.) z9780898715798 (print) z0898715792 (print)7 aDT092siam a(CaBNVSL)slc00225422 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.6b.V44 2001eb04a388.3/1/028522104aThe vehicle routing problemh[electronic resource] /cedited by Paolo Toth, Daniele Vigo. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2001. a1 electronic text (xviii, 367 p.) :bill., digital file.1 aSIAM monographs on discrete mathematics and applications aIncludes bibliographical references and index.0 aAn Overview of Vehicle Routing Problems -- Part I : Capacitated Vehicle Routing Problems -- Branch-and-Bound Algorithms for the Capacitated VRP -- Branch-and-Cut Algorithms for the Capacitated VRP -- Set-Covering-Based Algorithms for the Capacitated VRP -- Classical Heuristics for the Capacitated VRP -- Metaheuristics for the Capacitated VRP -- Part II : Important Variants of the Vehicle Routing Problem -- VRP with Time Windows -- VRP with Backhauls -- VRP with Pickup and Delivery -- Part III : Applications and Case Studies -- Routing Vehicles in the Real World : Applications in the Solid Waste, Beverage, Food, Dairy, and Newspaper Industries -- Capacitated Arc Routing Problem with Vehicle-Site Dependencies: The Philadelphia Experience -- Inventory Routing in Practice -- Routing Under Uncertainty : An Application in the Scheduling of Field Service Engineers -- Evolution of Microcomputer-Based Vehicle Routing Software : Case Studies in the United States.1 aRestricted to subscribers or individual electronic text purchasers.3 aIn the field of combinatorial optimization problems, the Vehicle Routing Problem (VRP) is one of the most challenging. Defined more than 40 years ago, the problem involves designing the optimal set of routes for fleets of vehicles for the purpose of serving a given set of customers. Interest in VRP is motivated by its practical relevance as well as its considerable difficulty.8 aThe Vehicle Routing Problem covers both exact and heuristic methods developed for the VRP and some of its main variants, emphasizing the practical issues common to VRP. The book is composed of three parts containing contributions from well-known experts. The first part covers basic VRP, known more commonly as capacitated VRP. The second part covers three main variants of VRP: with time windows, backhauls, and pickup and delivery. The third part covers issues arising in real-world VRP applications and includes both case studies and references to software packages. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aTransportation problems (Programming) aTransportation problems aProgramming1 aToth, Paolo.1 aVigo, Daniele.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715792z9780898715798 0aSIAM monographs on discrete mathematics and applications.403SIAMuhttp://epubs.siam.org/ebooks/siam/discrete_mathematics_and_applications/dt0903364nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500025002820820021003071000021003282450105003492600140004543000052005944900061006465040064007075050407007715060072011785200454012505200668017045300037023725380036024095380047024455880054024926500053025466530020025996530021026197100052026407760065026928300062027578560087028199780898718539SIAM20101024180052.0m eo d cr bn |||m|||a101020s2001 pau ob 001 0 eng d z 00067940 a9780898718539 (electronic bk.) z9780898714807 (print) z089871480X (print)7 aDT082siam a(CaBNVSL)slc00225421 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.87b.A58 2001eb04a006.3/2/01512211 aAnthony, Martin.10aDiscrete mathematics of neural networksh[electronic resource] :bselected topics /cMartin Anthony. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2001. a1 electronic text (xi, 131 p.) :bdigital file.1 aSIAM monographs on discrete mathematics and applications aIncludes bibliographical references (p. 119-125) and index.0 aArtificial Neural Networks -- Boolean Functions -- Threshold Functions -- Number of Threshold Functions -- Sizes of Weights for Threshold Functions -- Threshold Order -- Threshold Networks and Boolean Functions -- Specifying Sets -- Neural Network Learning -- Probabilistic Learning -- VC-Dimensions of Neural Networks -- The Complexity of Learning -- Boltzmann Machines and Combinatorial Optimization.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis concise, readable book provides a sampling of the very large, active, and expanding field of artificial neural network theory. It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neural networks. Neural networks have emerged as a key technology in many fields of application, and an understanding of the theories concerning what such systems can and cannot do is essential.8 aThe author discusses interesting connections between special types of Boolean functions and the simplest types of neural networks. Some classical results are presented with accessible proofs, together with some more recent perspectives, such as those obtained by considering decision lists. In addition, probabilistic models of neural network learning are discussed. Graph theory, some partially ordered set theory, computational complexity, and discrete probability are among the mathematical topics involved. Pointers to further reading and an extensive bibliography make this book a good starting point for research in discrete mathematics and neural networks. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aNeural networks (Computer science)xMathematics. aNeural networks aComputer science2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871480Xz9780898714807w(DLC) 00067940 0aSIAM monographs on discrete mathematics and applications.403SIAMuhttp://epubs.siam.org/ebooks/siam/discrete_mathematics_and_applications/dt0803179nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500025002820820014003071000021003212450146003422600140004883000053006284900061006815040063007425050417008055060072012225200701012945300037019955380036020325380047020685880054021156500030021696500042021996500022022416530029022636530016022926530028023086530020023367000021023567000018023777100052023957760065024478300062025128560087025749780898718546SIAM20101024180023.0m eo d cr bn |||m|||a101020s2001 pau ob 001 0 eng d z 00050988 a9780898718546 (electronic bk.) z9780898714791 (print) z0898714796 (print)7 aDT072siam a(CaBNVSL)slc00225420 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA267.7b.C74 2001eb04a511.32211 aCreignou, Nadia.10aComplexity classifications of Boolean constraint satisfaction problemsh[electronic resource] /cNadia Creignou, Sanjeev Khanna, Madhu Sudan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2001. a1 electronic text (xii, 106 p.) :bdigital file.1 aSIAM monographs on discrete mathematics and applications aIncludes bibliographical references (p. 97-102) and index.0 aIntroduction -- Complexity Classes -- Boolean Constraint Satisfaction Problems -- Characterizations of Constraint Functions -- Implementation of Functions and Reductions -- Classification Theorems for Decision, Counting and Quantified Problems -- Classification Theorems for Optimization Problems -- Input-Restricted Constrained Satisfaction Problems -- The Complexity of the Meta-Problems -- Concluding Remarks.1 aRestricted to subscribers or individual electronic text purchasers.3 aMany fundamental combinatorial problems, arising in such diverse fields as artificial intelligence, logic, graph theory, and linear algebra, can be formulated as Boolean constraint satisfaction problems (CSP). This book is devoted to the study of the complexity of such problems. The authors' goal is to develop a framework for classifying the complexity of Boolean CSP in a uniform way. In doing so, they bring out common themes underlying many concepts and results in both algorithms and complexity theory. The results and techniques presented here show that Boolean CSP provide an excellent framework for discovering and formally validating "global" inferences about the nature of computation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aComputational complexity. 0aConstraints (Artificial intelligence) 0aAlgebra, Boolean. aComputational complexity aConstraints aArtificial intelligence aBoolean algebra1 aKhanna, Sanjeev.1 aSudan, Madhu.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714796z9780898714791w(DLC) 00050988 0aSIAM monographs on discrete mathematics and applications.403SIAMuhttp://epubs.siam.org/ebooks/siam/discrete_mathematics_and_applications/dt0703224nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500024002820820017003061000032003232450149003552600140005043000052006444900061006965040066007575050218008235060072010415200433011135200458015465300037020045380036020415380047020775880054021246500025021786500032022036530031022356530031022666530048022976530050023457000020023957000025024157100052024407760065024928300062025578560087026199780898718553SIAM20101024180021.0m eo d cr bn |||m|||a101020s2001 pau ob 001 0 eng d z 00049656 a9780898718553 (electronic bk.) z9780898714784 (print) z0898714788 (print)7 aDT062siam a(CaBNVSL)slc00225419 aCaBNVSLcCaBNVSLdCaBNVSL 4aT57.83b.H83 2001eb04a519.7/032211 aHubert, Lawrence J.,d1944-10aCombinatorial data analysish[electronic resource] :boptimization by dynamic programming /cLawrence Hubert, Phipps Arabie, Jacqueline Meulman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2001. a1 electronic text (xi, 163 p.) :bdigital file.1 aSIAM monographs on discrete mathematics and applications aIncludes bibliographical references (p. 149-155) and indexes.0 aIntroduction -- General Dynamic Programming Paradigm -- Cluster Analysis -- Object Sequencing and Seriation -- Heuristic Applications of the GDPP -- Extensions and Generalizations -- Appendix : Available Programs.1 aRestricted to subscribers or individual electronic text purchasers.3 aCombinatorial data analysis (CDA) refers to a wide class of methods for the study of relevant data sets in which the arrangement of a collection of objects is absolutely central. The focus of this monograph is on the identification of arrangements, which are then further restricted to where the combinatorial search is carried out by a recursive optimization process based on the general principles of dynamic programming (DP).8 aThe authors provide a comprehensive and self-contained review delineating a very general DP paradigm or schema that can serve two functions. First, the paradigm can be applied in various special forms to encompass all previously proposed applications suggested in the classification literature. Second, the paradigm can lead directly to many more novel uses. An appendix is included as a user's manual for a collection of programs available as freeware. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aDynamic programming. 0aCombinatorial optimization. aCombinatorial optimization aLeast-squares optimization aUnidimensional and multidimensional scaling aUltrametric and additive tree representations1 aArabie, Phipps.1 aMeulman, Jacqueline.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714788z9780898714784w(DLC) 00049656 0aSIAM monographs on discrete mathematics and applications.403SIAMuhttp://epubs.siam.org/ebooks/siam/discrete_mathematics_and_applications/dt0602786nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630240015001890350025002040400030002290500023002590820017002821000023002992450134003222600140004563000052005964900041006485040051006895050378007405060072011185200488011905300037016785380036017155380047017515880054017986500030018526500020018826530020019026530026019226530034019486530033019826530020020157000018020357100052020537760065021058300042021708560080022129780898719376SIAM20101024180149.0m eo d cr bn |||m|||a101020s2010 pau ob 001 0 eng d z 2010013646 a9780898719376 (electronic bk.) z9780898717044 (print)7 aDC212siam a(CaBNVSL)slc00225418 aCaBNVSLcCaBNVSLdCaBNVSL 4aTJ217b.H68 2010eb04a629.8/362221 aHovakimyan, Naira.10aL1 adaptive control theoryh[electronic resource] :bguaranteed robustness with fast adaptation /cNaira Hovakimyan, Chengyu Cao. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2010. a1 electronic text (xx, 320 p.) :bdigital file.1 aAdvances in design and control ;v21 aIncludes bibliographical references and index.0 aIntroduction -- State Feedback in the Presence of Matched Uncertainties -- State Feedback in the Presence of Unmatched Uncertainties -- Output Feedback -- L1 Adaptive Controller for Time-Varying Reference Systems -- Applications, Conclusions, and Open Problems -- A Systems Theory -- B Projection Operator for Adaptation Laws -- C Basic Facts on Linear Matrix Inequalities.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book presents a comprehensive overview of the recently developed L1 adaptive control theory, including detailed proofs of the main results. The key feature of the L1 adaptive control theory is the decoupling of adaptation from robustness. The architectures of L1 adaptive control theory have guaranteed transient performance and robustness in the presence of fast adaptation, without enforcing persistent excitation, applying gain-scheduling, or resorting to high-gain feedback. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aAdaptive control systems. 0aRobust control. aFast adaptation aGuaranteed robustness aGuaranteed transient response aGuaranteed time-delay margin aScaled response1 aCao, Chengyu.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898717043z9780898717044w(DLC) 2010013646 0aAdvances in design and control ;v21.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc2102613nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630240015001890350025002040400030002290500027002590820017002861000023003032450099003262600140004253000053005655040051006185050190006695050216008595060072010755200409011475300037015565380036015935380047016295880054016766500031017306500020017616530020017816530036018016530024018376530022018616530028018837000023019117100052019347760065019868560080020519780898718560SIAM20101024193938.0m eo d cr bn |||m|||a101020s2010 pau ob 001 0 eng d z 2009047920 a9780898718560 (electronic bk.) z9780898716948 (print)7 aDC202siam a(CaBNVSL)slc00225417 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.S7426 2010eb04a515/.6422221 aSpeyer, Jason Lee.10aPrimer on optimal control theoryh[electronic resource] /cJason L. Speyer, David H. Jacobson. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2010. a1 electronic text (xiv, 307 p.) :bdigital file. aIncludes bibliographical references and index.0 aFinite-dimensional optimization -- Systems with general performance criteria -- Terminal equality constraints -- Linear-quadratic control problem -- Linear-quadratic differential games.0 aFinite-dimensional optimization -- Optimization of dynamic systems with general performance criteria -- Terminal equality constraints -- Linear-quadratic control problem -- LQ differential games -- A Background.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe performance of a process -- for example, how an aircraft consumes fuel -- can be enhanced when the most effective controls and operating points for the process are determined. This holds true for many physical, economic, biomedical, manufacturing, and engineering processes whose behavior can often be influenced by altering certain parameters or controls to optimize some desired property or output. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aMathematical optimization. 0aControl theory. aOptimal Control aPontryagin necessary conditions aTerminal Constaints aGlobal optimality aSecond-order optimality1 aJacobson, David H.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716942z9780898716948w(DLC) 2009047920403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc2002536nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500025002820820018003071000027003252450126003522500012004782600140004903000059006304900035006895040051007245050258007755060072010335200286011055300037013915380036014285380047014645880054015116500020015656500031015856500027016166530020016436530026016636530043016896530021017326530032017537100052017857760065018378300036019028560080019389780898718577SIAM20101024193934.0m eo d cr bn |||m|||a101020s2010 paua ob 001 0 eng d z 2009025106 a9780898718577 (electronic bk.) z9780898716887 (print) z0898716888 (print)7 aDC192siam a(CaBNVSL)slc00225416 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.B47 2010eb04a629.8/3122221 aBetts, John T.,d1943-10aPractical methods for optimal control and estimation using nonlinear programmingh[electronic resource] /cJohn T. Betts. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2010. a1 electronic text (xiv, 434 p.) :bill., digital file.1 aAdvances in design and control aIncludes bibliographical references and index.0 aIntroduction to Nonlinear Programming -- Large, Sparse Nonlinear Programming -- Optimal Control Preliminaries -- The Optimal Control Problem -- Parameter Estimation -- Optimal Control Examples -- Advanced Applications -- Epilogue -- Appendix : Software.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe book describes how sparse optimization methods can be combined with discretization techniques for differential-algebraic equations and used to solve optimal control and estimation problems. The interaction between optimization and integration is emphasized throughout the book. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aControl theory. 0aMathematical optimization. 0aNonlinear programming. aOptimal control aNonlinear programming aDifferential-algebraic equations (DAE) aInverse problems aSparse optimization methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716888z9780898716887w(DLC) 2009025106 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc1902867nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500026002820820016003082450145003242600140004693000072006094900041006815040051007225050302007735060072010755200478011475300037016255380036016625380047016985880054017456500037017996500039018366500019018756500021018946530037019156530024019526530018019766530018019946530016020126530017020287000016020457000025020617100052020867760065021388300042022038560080022459780898718584SIAM20101024194017.0m eo d cr cn |||m|||a101020s2009 paua ob 001 0 eng d z 2008032459 a9780898718584 (electronic bk.) z9780898716641 (print) z0898716640 (print)7 aDC182siam a(CaBNVSL)slc00225415 aCaBNVSLcCaBNVSLdCaBNVSL 4aUG1242.D7bU27 2009eb04a358.4/522200aUAV cooperative decision and controlh[electronic resource] :bchallenges and practical approaches /cedited by Tal Shima, Steven Rasmussen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2009. a1 electronic text (xxii, 164 p.) :bill. (some col.), digital file.1 aAdvances in design and control ;v18 aIncludes bibliographical references and index.0 aIntroduction -- Challenges -- Single-Task Tours -- Multiple Assignments -- Simultaneous Multiple Assignments -- Estimation Algorithms for Improved Cooperation Under Uncertainty -- Effectiveness Measures for Operations in Uncertain Environments -- A MultiUAV Simulation -- B Path Planning for UAVs.1 aRestricted to subscribers or individual electronic text purchasers.3 aUnmanned aerial vehicles (UAVs) are increasingly used in military missions because they have the advantages of not placing human life at risk and of lowering operation costs via decreased vehicle weight. These benefits can be fully realized only if UAVs work cooperatively in groups with an efficient exchange of information. This book provides an authoritative reference on cooperative decision and control of UAVs and the means available to solve problems involving them. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aDrone aircraftxControl systems. 0aDrone aircraftxAutomatic control. 0aTask analysis. 0aDecision making. aCooperative decision and control aUAV task assignment aPath planning aUSAF research aUAV testbed aOptimization1 aShima, Tal.1 aRasmussen, Steven J.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716640z9780898716641w(DLC) 2008032459 0aAdvances in design and control ;v18.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc1804082nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630240015001890350025002040400030002290500024002590820016002831000023002992450110003222500012004322600140004443000071005844900041006555040064006965050604007605050507013645060072018715200435019435200536023785300037029145380036029515380047029875880054030346500026030886500023031146500020031376530023031576530025031806530015032056530021032206530031032417000029032727100052033017760065033538300042034188560080034609780898718591SIAM20101024194008.0m eo d cr cn |||m|||a101016s2008 paua ob 001 0 eng d z 2008022483 a9780898718591 (electronic bk.) z9780898716559 (print)7 aDC172siam a(CaBNVSL)slc00225414 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA274b.S655 2008eb04a519.2/32221 aSpeyer, Jason Lee.10aStochastic processes, estimation, and controlh[electronic resource] /cJason L. Speyer, Walter H. Chung. a1st ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2008. a1 electronic text (xiv, 383 p.) :bill. (some col.), digital file.1 aAdvances in design and control ;v17 aIncludes bibliographical references (p. 377-380) and index.0 aProbability Theory 1 -- Random Variables and Stochastic Processes -- Conditional Expectations and Discrete-Time Kalman Filtering -- Least Squares, the Orthogonal ProjectionLemma, and Discrete-TimeKalman Filtering -- Stochastic Processes and Stochastic Calculus -- Continuous-Time Gauss-Markov Systems : Continuous-Time Kalman Filter, Stationarity, Power Spectral Density, and the Wiener Filter -- The Extended Kalman Filter -- A Selection of Results from Estimation Theory -- Stochastic Control and the Linear Quadratic Gaussian Control Problem -- Linear Exponential Gaussian Control and Estimation.0 aProbability theory -- Random variables and stochastic processes -- Conditional expectations and discrete-time Kalman filtering -- Least squares, the orthogonal projection Lemma, and discrete-time Kalman filtering -- Stochastic processes and stochastic calculus -- Continuous-time Guass-Markov systems -- The extended Kalman filter -- A selection of results from estimation theory -- Stochastic control and linear quadratic Guassian control problem -- Linear exponential Guassian control and estimation.1 aRestricted to subscribers or individual electronic text purchasers.3 aUncertainty and risk are integral to engineering because real systems have inherent ambiguities that arise naturally or due to our inability to model complex physics. The authors discuss probability theory, stochastic processes, estimation, and stochastic control strategies and show how probability can be used to model uncertainty in control and estimation problems. The material is practical and rich in research opportunities.8 aThe authors provide a comprehensive treatment of stochastic systems from the foundations of probability to stochastic optimal control. The book covers discrete- and continuous-time stochastic dynamic systems leading to the derivation of the Kalman filter, its properties, and its relation to the frequency domain Wiener filter as well as the dynamic programming derivation of the linear quadratic Gaussian (LQG) and the linear exponential Gaussian (LEG) controllers and their relation to H2 and H controllers and system robustness. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aStochastic processes. 0aEstimation theory. 0aControl theory. aProbability theory aStochastic processes aEstimation aFiltering theory aStochastic optimal control1 aChung, Walter H.,d1968-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716551z9780898716559w(DLC) 2008022483 0aAdvances in design and control ;v17.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc1703176nam 2200541 a 45000010014000000030005000140050017000190070015000360080041000510100017000920200035001090200026001440200022001700240015001920350025002070400030002320500025002620820017002871000017003042450130003212600140004513000059005914900035006505040064006855050365007495060072011145200764011865300037019505380036019875380047020235880054020706500020021246500024021446500016021686500031021846500014022156530019022296530018022486530022022666530031022886530023023196530031023427000028023737100052024017760065024538300036025188560080025549780898718669SIAM20101024180033.0cr bn |||m|||a101020s2006 paua ob 001 0 eng d z 2005057551 a9780898718669 (electronic bk.) z9780898716023 (print) z0898716020 (pbk.)7 aDC102siam a(CaBNVSL)slc00225413 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.B49 2006eb04a515/.6422221 aBhaya, Amit.10aControl perspectives on numerical algorithms and matrix problemsh[electronic resource] /cAmit Bhaya, Eugenius Kaszkurewicz. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2006. a1 electronic text (xxv, 272 p.) :bill., digital file.1 aAdvances in design and control aIncludes bibliographical references (p. 233-253) and index.0 aBrief Review of Control and Stability Theory -- Algorithms as Dynamical Systems with Feedback -- Optimal Control and Variable Structure Design of Iterative Methods -- Neural-Gradient Dynamical Systems for Linear and Quadratic Programming Problems -- Control Tools in the Numerical Solution of Ordinary Differential Equations and in Matrix Problems -- Epilogue.1 aRestricted to subscribers or individual electronic text purchasers.3 aControl Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aControl theory. 0aNumerical analysis. 0aAlgorithms. 0aMathematical optimization. 0aMatrices. aControl theory aSystem theory aIterative methods aNumerical methods for ODEs aLiapunov functions aGradient dynamical systems1 aKaszkurewicz, Eugenius.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716020z9780898716023w(DLC) 2005057551 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc1002847nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630240015001860350025002010400030002260500024002560820017002802450131002972600140004283000061005684900035006295040051006645050243007155060072009585200594010305300037016245380036016615380047016975880054017446500025017986530024018236530017018476530020018646530022018846530031019066530036019376530037019736530013020106530014020236530025020377000022020627100052020847760065021368300036022018560080022379780898718676SIAM20101024180001.0m eo d cr bn |||m|||a101016s2005 paua ob 001 0 eng d z 2005045058 a9780898718676 (electronic bk.) z0898715865 (print)7 aDC092siam a(CaBNVSL)slc00225412 aCaBNVSLcCaBNVSLdCaBNVSL 4aT57.83b.A67 2005eb04a519.7/0322200aApplied dynamic programming for optimization of dynamical systemsh[electronic resource] /cRush D. Robinett III ... [et al.]. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2005. a1 electronic text (xviii, 260 p.) :bill., digital file.1 aAdvances in design and control aIncludes bibliographical references and index.0 aIntroduction -- Constrained Optimization -- Introduction to Dynamic Programming -- Advanced Dynamic Programming -- Applied Case Studies -- Appendix A: Mathematical Supplement -- Appendix B: Applied Case Studies - MATLAB Software Addendum.1 aRestricted to subscribers or individual electronic text purchasers.3 aBased on the results of over 10 years of research and development by the authors, this book presents a broad cross section of dynamic programming (DP) techniques applied to the optimization of dynamical systems. The main goal of the research effort was to develop a robust path planning/trajectory optimization tool that did not require an initial guess. The goal was partially met with a combination of DP and homotopy algorithms. DP algorithms are presented here with a theoretical development, and their successful application to variety of practical engineering problems is emphasized. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aDynamic programming. aDynamic programming aOptimization aOptimal Control aDynamical systems aPrimal-dual interior point aRecursive quadratic programming aSequential quadratic programming aRobotics aAerospace aApplied optimization1 aRobinett, Rush D.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898715865z9780898715866w(DLC) 2005045058 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc0903645nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890240015002120350025002270400030002520500026002820820017003081000023003252450127003482600140004753000057006154900041006725040064007135050540007775060072013175200578013895200520019675300037024875380036025245380047025605880054026076500020026616500020026816500037027016530019027386530035027576530021027926530021028136530022028347000024028567100052028807760065029328300042029978560076030399780898718607SIAM20101024180019.0m eo d cr bn |||m|||a101016s2008 paua ob 001 0 eng d z 2008006666 a9780898718607 (electronic bk.) z9780898716504 (print) z0898716500 (print)7 aDC162siam a(CaBNVSL)slc00225411 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.K738 2008eb04a515/.3532221 aKrstic, Miroslav.10aBoundary control of PDEsh[electronic resource] :ba course on backstepping designs /cMiroslav Krstic, Andrey Smyshlyaev. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2008. a1 electronic text (x, 192 p.) :bill., digital file.1 aAdvances in design and control ;v16 aIncludes bibliographical references (p. 177-190) and index.0 aIntroduction -- Lyapunov Stability -- Exact Solutions to PDEs -- Parabolic PDEs : Reaction-Advection-Diffusion and Other Equations -- Observer Design -- Complex-Valued PDEs : Schrodinger and Ginzburg-Landau Equations -- Hyperbolic PDEs : Wave Equations -- Beam Equations -- First-Order Hyperbolic PDEs and Delay Equations -- Kuramoto-Sivashinsky, Korteweg-de Vries, and Other "Exotic" Equations -- Navier-Stokes Equations -- Motion Planning for PDEs -- Adaptive Control for PDEs -- Towards Nonlinear PDEs -- Appendix Bessel Functions.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis concise and highly usable textbook presents an introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs). Backstepping provides mathematical tools for constructing coordinate transformations and boundary feedback laws for converting complex and unstable PDE systems into elementary, stable, and physically intuitive "target PDE systems" that are familiar to engineers and physicists. Readers will be introduced to constructive control synthesis and Lyapunov stability analysis for distributed parameter systems.8 aThe text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space (including variants of linearized Ginzburg-Landau, Schrodinger, Kuramoto-Sivashinsky, KdV, beam, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aControl theory. 0aBoundary layer. 0aDifferential equations, Partial. aControl theory aPartial differential equations aBoundary control aAdaptive control aNonlinear control1 aSmyshlyaev, Andrey.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716500z9780898716504w(DLC) 2008006666 0aAdvances in design and control ;v16.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_control/dc1603552nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200038001630200035002010240015002360350025002510400030002760500025003060820014003311000019003452450128003642600140004923000054006324900041006865040064007275050456007915060072012475200887013195300037022065380036022435380047022795880054023266500036023806500043024166500040024596500026024996500031025256530031025566530044025876530029026316530034026606530045026947000032027397100052027717760065028238300042028888560080029309780898718614SIAM20101024180151.0m eo d cr bn |||m|||a101016s2008 pau ob 001 0 eng d z 2008061103 a9780898718614 (electronic bk.) z9780898716498 (pbk. : alk. paper) z0898716497 (pbk. : alk. paper)7 aDC152siam a(CaBNVSL)slc00225410 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.I89 2008eb04a519.32221 aIto, Kazufumi.10aLagrange multiplier approach to variational problems and applicationsh[electronic resource] /cKazufumi Ito, Karl Kunisch. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2008. a1 electronic text (xvii, 341 p.) :bdigital file.1 aAdvances in design and control ;v15 aIncludes bibliographical references (p. 327-338) and index.0 aExistence of Lagrange Multipliers -- Sensitivity Analysis -- First Order Augmented Lagrangians for Equality and Finite Rank Inequality Constraints -- Augmented Lagrangian Methods for Nonsmooth, Convex Optimization -- Newton and SQP Methods -- Augmented Lagrangian-SQP Methods -- The Primal-Dual Active Set Method -- Semismooth Newton Methods I -- Semismooth Newton Methods II : Applications -- Parabolic Variational Inequalities -- Shape Optimization.1 aRestricted to subscribers or individual electronic text purchasers.3 aLagrange multiplier theory provides a tool for the analysis of a general class of nonlinear variational problems and is the basis for developing efficient and powerful iterative methods for solving these problems. This comprehensive monograph analyzes Lagrange multiplier theory and shows its impact on the development of numerical algorithms for problems posed in a function space setting. The authors develop and analyze efficient algorithms for constrained optimization and convex optimization problems based on the augumented Lagrangian concept and cover such topics as sensitivity analysis, convex optimization, second order methods, and shape sensitivity calculus. General theory is applied to challenging problems in optimal control of partial differential equations, image analysis, mechanical contact and friction problems, and American options for the Black-Scholes model. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aLinear complementarity problem. 0aVariational inequalities (Mathematics) 0aMultipliers (Mathematical analysis) 0aLagrangian functions. 0aMathematical optimization. aLagrange Multiplier theory aPDE constrained and convex optimization aSemismooth Newton method aPrimal-Dual active set method aVariational inqualities in Hilbert space1 aKunisch, K.q(Karl),d1952-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716497z9780898716498w(DLC) 2008061103 0aAdvances in design and control ;v15.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc1503183nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880240015002100350025002250400030002500500023002800820017003031000018003202450136003382600140004743000059006144900035006735040066007085050384007745060072011585200817012305300037020475380036020845380047021205880054021676300012022216500046022336500028022796530021023076530019023286530011023476530024023587000027023827000023024097100052024327760065024848300036025498560080025859780898718621SIAM20101024180203.0m eo d cr bn |||m|||a101016s2007 paua ob 001 0 eng d z 2007061804 a9780898718621 (electronic bk.) z9780898716382 (pbk.) z0898716381 (pbk.)7 aDC142siam a(CaBNVSL)slc00225409 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA345b.Z84 2007eb04a629.8/322221 aXue, Dingyu.10aLinear feedback controlh[electronic resource] :banalysis and design with MATLAB /cDingyu Xue, YangQuan Chen, Derek P. Atherton. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2007. a1 electronic text (xii, 354 p.) :bill., digital file.1 aAdvances in design and control aIncludes bibliographical references (p. 337-343) and indexes.0 aIntroduction to Feedback Control -- Mathematical Models of Feedback Control Systems -- Analysis of Linear Control Systems -- Simulation Analysis of Nonlinear Systems -- Model-Based Controller Design -- PID Controller Design -- Robust Control Systems Design -- Fractional-Order Controller : An Introduction -- Appendix CtrlLAB : A Feedback Control System Analysis and Design Tool.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book discusses analysis and design techniques for linear feedback control systems using MATLAB software. By reducing the mathematics, increasing MATLAB working examples, and inserting short scripts and plots within the text, the authors have created a resource suitable for almost any type of user. The book begins with a summary of the properties of linear systems and addresses modeling and model reduction issues. In the subsequent chapters on analysis, the authors introduce time domain, complex plane, and frequency domain techniques. Their coverage of design includes discussions on model-based controller designs, PID controllers, and robust control designs. A unique aspect of the book is its inclusion of a chapter on fractional-order controllers, which are useful in control engineering practice. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version.00aMATLAB. 0aEngineering mathematicsxData processing. 0aLinear control systems. aFeedback control aLinear systems aMatlab aAnalysis and design1 aChen, Yangquan,d1966-1 aAtherton, Derek P.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716381z9780898716382w(DLC) 2007061804 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc1403683nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200031001630200028001940240015002220350025002370400030002620500023002920820016003151000021003312450147003522600140004993000060006394900035006995040064007345050641007985060072014395200496015115200497020075300037025045380036025415380047025775880054026246500026026786500022027046500025027266530023027516530031027746530049028056530039028546530043028937100052029367760065029888300036030538560076030899780898718638SIAM20101024180005.0m eo d cr bn |||m|||a101016s2007 paua ob 001 0 eng d z 2007061739 a9780898718638 (electronic bk.) z9780898716337 (alk. paper) z0898716330 (alk. paper)7 aDC132siam a(CaBNVSL)slc00225408 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA274b.H36 2007eb04a519.2/32221 aHanson, Floyd B.10aApplied stochastic processes and control for Jump-diffusionsh[electronic resource] :bmodeling, analysis, and computation /cFloyd B. Hanson. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2007. a1 electronic text (xxix, 443 p.) :bill., digital file.1 aAdvances in design and control aIncludes bibliographical references (p. 403-422) and index.0 aStochastic Jump and Diffusion Processes -- Stochastic Integration for Diffusions -- Stochastic Integration for Jumps -- Stochastic Calculus for Jump-Diffusions -- Stochastic Calculus for General Markov SDEs -- Stochastic Dynamic Programming -- Kolmogorov Equations -- Computational Stochastic Control Methods -- Stochastic Simulations -- Applications in Financial Engineering -- Applications in Mathematical Biology and Medicine -- Applied Guide to Abstract Stochastic Processes -- A Appendix Online : Deterministic Optimal Control -- B Appendix Online : Preliminaries in Probability and Analysis -- C Appendix Online : MATLAB Programs.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis self-contained, practical, entry-level text integrates the basic principles of applied mathematics, applied probability, and computational science for a clear presentation of stochastic processes and control for jump diffusions in continuous time. The author covers the important problem of controlling these systems and, through the use of a jump calculus construction, discusses the strong role of discontinuous and nonsmooth properties versus random properties in stochastic systems.8 aThe book emphasizes modeling and problem solving and presents sample applications in financial engineering and biomedical modeling. Computational and analytic exercises and examples are included throughout. While classical applied mathematics is used in most of the chapters to set up systematic derivations and essential proofs, the final chapter bridges the gap between the applied and the abstract worlds to give readers an understanding of the more abstract literature on jump diffusions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aStochastic processes. 0aMarkov processes. 0aDiffusion processes. aStochastic process aStochastic optimal control aComputational stochastic dynamic programming aFinancial engineering applications acomputational biomedicine applications2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716330z9780898716337w(DLC) 2007061739 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_control/dc1304361nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200031001630200028001940240015002220350025002370400030002620500024002920820016003161000024003322450151003562600140005073000059006474900041007065040064007475051028008115060072018395200606019115200536025175300037030535380036030905380047031265880054031736500023032276500024032506500015032746500017032896530023033066530031033296530049033606530039034096530043034487000030034917100047035217100052035687760065036208300042036858560080037279780898718645SIAM20101024194002.0m eo d cr bn |||m|||a101016s2007 paua ob 001 0 eng d z 2007061746 a9780898718645 (electronic bk.) z9780898716320 (alk. paper) z0898716322 (alk. paper)7 aDC122siam a(CaBNVSL)slc00225407 aCaBNVSLcCaBNVSLdCaBNVSL 4aTJ213b.M485 2007eb04a629.8/32221 aMichiels, W.q(Wim)10aStability and stabilization of time-delay systemsh[electronic resource] :ban Eigenvalue-based approach /cWim Michiels, Silviu-Iulian Niculescu. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2007. a1 electronic text (xxi, 378 p.) :bill., digital file.1 aAdvances in design and control ;v12 aIncludes bibliographical references (p. 351-373) and index.0 aStability analysis of linear time-delay systems -- Spectral properties of linear time-delay systems -- Pseudospectra and robust stability analysis -- Computation of stability regions in parameter spaces -- Stability regions in delay-parameter spaces -- Delays ratio sensitivity and interference -- Stability of linear periodic systems with delays -- Stabilization and robust stabilization -- The continuous pole placement method -- Stabilizability with delayed feedback : a numerical case-study -- The robust stabilization problem -- Stabilization using a direct eigenvalue optimization approach -- Applications -- Output feedback stabilization : the single delay case -- Output feedback stabilization : the multiple delay case -- Congestion control algorithms in networks -- Smith predictor for stable systems : delay sensitivity analysis -- Controlling unstable systems using finite spectrum assignment -- Consensus problems in traffic flow applications -- Stability analysis of delay models in biosciences -- Appendices.1 aRestricted to subscribers or individual electronic text purchasers.3 aTime-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilization of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis.8 aThe book is organized into three parts: Part I addresses the analysis of linear time-delay systems from a stability point of view. Part II is devoted to synthesis problems with the focus on stabilization. In Part III the authors present a wide class of applications, including congestion analysis in high-performance networks, output feedback stabilization using the delays as controller parameters, predictor-type controllers, consensus problems in traffic flows, and stability analysis of various delay models in the biosciences. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aAutomatic control. 0aTime delay systems. 0aStability. 0aEigenvalues. aStochastic process aStochastic optimal control aComputational stochastic dynamic programming aFinancial engineering applications aComputational biomedicine applications1 aNiculescu, Silviu-Iulian.2 aKatholieke Universiteit te Leuven (1970- )2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716322z9780898716320w(DLC) 2007061746 0aAdvances in design and control ;v12.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc1202347nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200015001630200026001780240015002040350025002190400030002440500024002740820017002981000040003152450086003552600140004413000059005814900035006405040064006755050331007395060072010705200153011425300037012955380036013325380047013685880054014156500030014696530019014996530021015186530022015396530025015616530019015867000019016057100052016247760065016768300036017418560076017779780898718652SIAM20101024175949.0m eo d cr bn |||m|||a101016s2006 paua ob 001 0 eng d z 2006051213 a9780898718652 (electronic bk.) z0898716152 z9780898716153 (print)7 aDC112siam a(CaBNVSL)slc00225406 aCaBNVSLcCaBNVSLdCaBNVSL 4aTJ217b.I628 2006eb04a629.8/362221 aIoannou, P. A.q(Petros A.),d1953-10aAdaptive control tutorialh[electronic resource] /cPetros Ioannou, Baris Fidan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2006. a1 electronic text (xvi, 389 p.) :bill., digital file.1 aAdvances in design and control aIncludes bibliographical references (p. 371-384) and index.0 aIntroduction -- Parametric Models -- Parameter Identification : Continuous Time -- Parameter Identification : Discrete Time -- Continuous-Time Model Reference Adaptive Control -- Continuous-Time Adaptive Pole Placement Control -- Adaptive Control for Discrete-Time Systems -- Adaptive Control of Nonlinear Systems -- Appendix.1 aRestricted to subscribers or individual electronic text purchasers.3 aPresents the design, analysis, and application of a wide variety of algorithms that can be used to manage dynamical systems with unknown parameters. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aAdaptive control systems. aIdentification aAdaptive control aNonlinear control aParameter estimation aRobust control1 aFidan, Baris.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898716152z9780898716153w(DLC) 2006051213 0aAdvances in design and control.403SIAMuhttp://epubs.siam.org/ebooks/siam/advances_in_design_control/dc1103148nam 2200481 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280016001710350025001870350021002120400040002330500025002730820017002981000029003152450135003442640150004793000028006293360021006573370026006783380032007044900047007365040051007835050292008345201055011265380036021815380047022175880048022646500028023126500022023406530036023626530019023986530026024177100064024437760053025078300041025608560065026019781611974096SIAM20151025190106.0m eo d cr bn |||m|||a151021s2015 pau ob 001 0 eng d z 2015030491 a9781611974096 z9781611974089qprint50aOT145bSIAM a(CaBNVSL)mat00970028 a(OCoLC)926620751 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA372b.K2155 2015eb04a515/.3522231 aKapitula, Todd,eauthor.10aOrdinary differential equations and linear algebra :ba systems approach /cTodd Kapitula, Calvin College, Grand Rapids, Michigan. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (xii, 300 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics ;v145 aIncludes bibliographical references and index.0 aPreface -- 1. Essentials of linear algebra -- 2. Scalar first-order linear differential equations -- 3. Systems of first-order linear differential equations -- 4. Scalar higher-order linear differential equations -- 5. Discontinuous forcing and the Laplace transform -- 6. Odds and ends.3 aOrdinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs; includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters); emphasizes mathematical modeling; and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/21/2015. 0aDifferential equations. 0aAlgebras, Linear. aOrdinary differential equations aLinear algebra aMathematical modeling2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015030491z9781611974089 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197409603068nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280016001710350025001870350021002120400040002330500031002730820024003041000039003282450327003672640150006943000028008443360021008723370026008933380032009194900040009515040051009915050134010425200716011765380036018925380047019285880047019756500032020226500027020546530037020816530038021186530020021566530026021766530030022027000040022327000043022727100064023157760053023798300041024328560065024739781611973945SIAM20150626190106.0m eo d cr bn |||m|||a150622s2015 pau ob 001 0 eng d z 2015016537 a9781611973945 z9781611973938qprint50aOT143bSIAM a(CaBNVSL)mat00930260 a(OCoLC)911758740 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQC174.26.W28bK4785 2015eb04a530.1201/5153532231 aKevrekidis, Panayotis G.,eauthor.14aThe defocusing nonlinear Schrodinger equation :bfrom dark solitons to vortices and vortex rings /cPanayotis G. Kevrekidis, University of Massachusetts, Amherst, Massachusetts, Dimitri J. Frantzeskakis, University of Athens, Athens, Greece, Ricardo Carretero-Gonzalez, San Diego State University, San Diego, California. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (xii, 429 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- Acknowledgments -- Introduction -- The one-dimensional case -- The two-dimensional case -- The three-dimensional case.3 aBose-Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose-Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear Schrodinger-type models that arise therein. The Defocusing Nonlinear Schrodinger Equation is a broad study of nonlinear excitations in self-defocusing nonlinear media, summarizes state-of-the-art knowledge on the defocusing nonlinear Schrodinger-type models in a single volume, and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 6/22/2015. 0aGross-Pitaevskii equations. 0aSchrodinger equation. aAnonlinear Schrodinger equation aDefocusing/repulsive nonlinearity aNonlinear waves aSolitons and vortices aBose-Einstein condensates1 aFrantzeskakis, Dimitri J.,eauthor.1 aCarretero-Gonzalez, Ricardo,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015016537z9781611973938 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197394503120nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500028002720820016003001000038003162450168003542640150005223000026006723360021006983370026007193380032007454900041007775040051008185050282008695200861011515380047020125380036020595880047020956500028021426500026021706500012021966500014022086500027022226530017022496530018022666530023022846530021023076530026023287100064023547760053024188300042024718560065025139781611973969SIAM20150626190106.0m eo d cr bn |||m|||a150622s2015 pau ob 001 0 eng d z 2015010487 a9781611973969 z9781611973952qprint50aDC28bSIAM a(CaBNVSL)mat00930259 a(OCoLC)911758511 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA174.7.S96bW35 2015eb04a516.3/62231 aWalker, Shawn W.,d1976-eauthor.14aThe shapes of things :ba practical guide to differential geometry and the shape derivative /cShawn W. Walker, Louisiana State University, Baton Rouge, Louisiana. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2015] a1 PDF (x, 152 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aAdvances in design and control ;v28 aIncludes bibliographical references and index.0 aPreface -- Introduction -- Surfaces and differential geometry -- The fundamental forms of differential geometry -- Calculus on surfaces -- Shape differential calculus -- Applications -- Willmore flow -- Appendix A. Vectors and matrices -- Appendix B. Derivatives and integrals.3 aMany things around us have properties that depend on their shape--for example, the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function (in the calculus sense) with respect to a "shape variable." This approach, which is useful for understanding mathematical models containing geometric partial differential equations (PDEs), allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute sensitivities with respect to geometry by developing basic calculus tools on surfaces and combining them with the calculus of variations. Several applications that utilize shape derivatives and many illustrations that help build intuition are included. aSystem requirements: Adobe Acrobat Reader. aMode of access: World Wide Web. aTitle from title screen, viewed 6/22/2015. 0aGeometry, Differential. 0aSurfaces (Technology) 0aShapes. 0aGeometry. 0aSymmetry (Mathematics) aSurface PDEs aGradient flow aShape optimization aShape derivative aDifferential geometry2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015010487z9781611973952 0aAdvances in design and control ;v28.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197396903258nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500022002720820016002942450119003102640150004293000046005793360021006253370026006463380032006724900034007045040051007385050755007895200585015445380036021295380047021655880047022126500042022596500019023016500044023206500029023646530014023936530020024076530011024276530015024387000034024537000025024877100064025127760052025768300035026288560065026639781611971583SIAM20150507130136.0m eo d cr bn |||m|||a921210s1993 paua ob 001 0 eng d z 92042080 a9781611971583 z9780898713060qprint50aOT36bSIAM a(CaBNVSL)mat00930030 a(OCoLC)908459243 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA497b.K6 1993eb04a511/.4222000aKnot insertion and deletion algorithms for B-spline curves and surfaces /cedited by Ronald N. Goldman, Tom Lyche. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1993] a1 PDF (xiii, 197 pages) :billustrations. atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aGeometric design publications aIncludes bibliographical references and index.0 aAn introduction to blossoming / Phillip J. Barry -- Algorithms for progressive curves : extending B-spline and blossoming techniques to the monomial, power, and Newton dual bases / Phillip J. Barry and Ronald N. Goldman -- Factored knot insertion / Phillip J. Barry and Ronald N. Goldman -- Knot insertion algorithms / Phillip J. Barry and Ronald N. Goldman -- Conversion between B-spline bases using the generalized Oslo algorithm / Tom Lyche, Knut Morken, and Kyrre Strom -- How much can the size of the B-spline coefficients be reduced by inserting one knot? / Tom Lyche and Knut Morken -- An envelope approach to a sketching editor for hierarchical free-form curve design and modification / Michael J. Banks, Elaine Cohen, and Timothy I. Mueller.3 aNew approaches to knot insertion and deletion are presented in this unique, detailed approach to understanding, analyzing, and rendering B-spline curves and surfaces. Computer scientists, mechanical engineers, and programmers and analysts involved in CAD and CAGD will find innovative, practical applications using the blossoming approach to knot insertion, factored knot insertion, and knot deletion, as well as comparisons of many knot insertion algorithms. This book also serves as an excellent reference guide for graduate students involved in computer aided geometric design. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 4/24/2015. 0aGeometrical drawingxData processing. 0aSpline theory. 0aKnot insertion and deletion algorithms. 0aBlossoming (Mathematics) aB-splines aKnot insertions aCurves aBlossoming1 aGoldman, Ron,d1947-eeditor.1 aLyche, Tom,eeditor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 92042080z9780898713060 0aGeometric design publications.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197158303479nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500023002720820015002952450056003102640150003663000044005163360021005603370026005813380032006074900034006395000078006735000140007515040051008915051056009425200340019985380036023385380047023745880047024216500047024686500057025156530013025726530014025856530012025996530020026117000039026317100063026707100064027337760052027978300035028498560065028849781611971644SIAM20150507130135.0m eo d cr bn |||m|||a920319s1992 paua ob 001 0 eng d z 92012065 a9781611971644 z9780898712827qprint50aOT30bSIAM a(CaBNVSL)mat00930029 a(OCoLC)908458906 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA631b.T66 1992eb04a516/.622000aTopics in surface modeling /cedited by Hans Hagen. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1992] a1 PDF (ix, 219 pages) :billustrations. atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aGeometric design publications a"Sponsored by SIAM Activity Group on Geometric Design"--Title page verso. a"Evolved from presentations given at the SIAM Conference on Geometric Design held in Tempe, Arizona, from November 6-10, 1989"--Page v. aIncludes bibliographical references and index.0 aAlgebraic methods -- Free-form blending : a technique for creating piecewise implicit surfaces / Joe Warren -- Surface fitting using implicit algebraic surface patches / Chandrajit L. Bajaj -- Functional splines for interpolation, approximation, blending of curves, surfaces and solids / Josef Hoschek and Erich Hartmann -- Variational surface design -- A local twist estimation / Gerald Farin and Hans Hagen -- Variational surface design / Hans Hagen and Paolo Santarelli -- Special applications -- Interactive techniques for visual design / Roger K.E. Andersson and Bjorn E.J. Dahlberg -- Exact conversion of a trimmed non-rational Bezier surface into composite or basic non-rational surfaces / A.E. Vries-Baayens -- A procedural feature-based approach for designing functional surfaces / James C. Cavendish and Samuel P. Marin -- Topological considerations in the transfinite interpolation of contour curves / Alan K. Jones -- Conditions and constructions for GC1 and GC2 continuity between adjacent integral Bezier surface patches / Peter Wassum.3 aContains recent ideas and results in three areas of growing importance in curve and surface design: algebraic methods, variational surface design, and some special applications. Leading researchers from throughout the world have contributed their latest work and provided several promising solutions to open issues in surface modeling. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 4/24/2015. 0aSurfacesxMathematical modelsvCongresses. 0aCurves on surfacesxMathematical modelsvCongresses. aSurfaces aB-splines aSplines aBezier surfaces1 aHagen, H.q(Hans),d1953-eeditor.2 aSIAM Activity Group on Geometric Design,esponsoring body.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 92012065z9780898712827 0aGeometric design publications.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197164402929nam 2200541 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200018001280200025001460280015001710350025001860350021002110400040002320500023002720820017002951000033003122450106003452500018004512640149004693000028006183360021006463370026006673380032006934900042007255000070007675040051008375050136008885200825010245380036018495380047018855880047019326500021019796500020020006500029020206530019020496530021020686530025020896530021021146530027021357100064021627760053022268300043022798560065023229781611973884SIAM20150428004204.0m eo d cr bn |||m|||a150417r20151970pau ob 001 0 eng d z 2015008391 a9781611973884 z9781611973877qprint50aCL74bSIAM a(CaBNVSL)mat00930028 a(OCoLC)908458945 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402b.B68 2015eb04a515/.3542231 aBrockett, Roger W.,eauthor.10aFinite dimensional linear systems /cRoger W. Brockett, Harvard University, Cambridge, Massachusetts. aSIAM edition. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2015. a1 PDF (xvi, 244 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aClassics in applied mathematics ;v74 aOriginally published: New York : John Wiley and Sons, Inc., 1970. aIncludes bibliographical references and index.0 aPreface to the Classics edition -- Preface -- Linear differential equations -- Linear systems -- Least squares theory -- Stability.3 aOriginally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics; develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas; and contains a number of nontrivial examples and many exercises. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 4/17/2015. 0aSystem analysis. 0aLinear systems. 0aEngineering mathematics. aLinear systems aFeedback control aLeast squares theory aStability theory aDifferential equations2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2015008391z9781611973877 0aClassics in applied mathematics ;v74.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197388402928nam 2200553 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200034001280200025001620200022001870280016002090350025002250350021002500400040002710500025003110820016003361000057003522450200004092640149006093000028007583360021007863370026008073380032008334900024008655040051008895050162009405060072011025200555011745300037017295380036017665380047018025880046018496500036018956500020019316530042019516530022019936530021020156530020020366530025020567000058020817100064021397760065022038300041022688560065023099781611973464SIAM20140514190106.0m eo d cr bn |||m|||a140509s2014 pau ob 001 0 eng d z 2014010955 a9781611973464qelectronic bk. z9781611973457qprint z1611973457qprint50aOT138bSIAM a(CaBNVSL)mat00910761 a(OCoLC)879625636 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA297.8b.O47 2014eb04a518/.262231 aOlshanskii, Maksim Aleksandrovich,d1971-eauthor.10aIterative methods for linear systems :btheory and applications /cMaxim A. Olshanskii, University of Houston, Houston, Texas, Eugene E. Tyrtyshnikov, Russian Academy of Sciences, Moscow, Russia. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2014. a1 PDF (xiv, 244 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aApplied mathematics aIncludes bibliographical references and index.0 aKrylov subspace nethods -- Toeplitz matrices and preconditioners -- Multigrid preconditioners -- Preconditioners by space decomposition -- Some applications.1 aRestricted to subscribers or individual electronic text purchasers.3 aIterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 5/9/2014. 0aIterative methods (Mathematics) 0aLinear systems. aSystems of linear algebraic equations aIterative methods aKrylov subspaces aPreconditioners aConvergence analysis1 aTyrtyshnikov, E. E.q(Evgenii Evgenevich),eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2014010955z1611973457z9781611973457 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/1.978161197346403567nam 2200565 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100031001110200030001420200025001720280015001970350025002120350021002370400040002580500024002980820016003221000031003382450100003692640150004693000027006193360021006463370026006673380032006934900025007255040051007505050299008015060072011005201150011725300037023225380036023595380047023955880054024426500021024966500036025176500036025536500020025896530025026096530027026346530025026616530022026866530019027087000034027277100064027617760053028258300027028788560096029059781611974737SIAM20170311133913.0m eo d cr bn |||m|||a170302s2017 pau ob 001 0 eng d a 2016054562z 2016053335 a9781611974737qelectronic z9781611974720qprint50aSL03bSIAM a(CaBNVSL)gtp00566902 a(OCoLC)964624769 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA402b.O686 2017eb04a003/.742231 aOrban, Dominique,eauthor.10aIterative solution of symmetric quasi-definite linear systems /cDominique Orban, Mario Arioli. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xii, 93 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aSIAM spotlights ;v3 aIncludes bibliographical references and index.0 aPreface -- 1. Introduction -- 2. Preliminaries -- 3. Overview of existing direct and iterative methods -- 4. Fundamental processes -- 5. Iterative methods based on reduced equations -- 6. Full-space iterative methods -- 7. Software and numerical experiments -- 8. Discussion and open questions. aRestricted to subscribers or individual electronic text purchasers.3 aNumerous applications, including computational optimization and fluid dynamics, give rise to block linear systems of equations said to have the quasi-definite structure. In practical situations, the size or density of those systems can preclude a factorization approach, leaving only iterative methods as the solution technique. Known iterative methods, however, are not specifically designed to take advantage of the quasi-definite structure. This book discusses the connection between quasi-definite systems and linear least-squares problems, the most common and best understood problems in applied mathematics, and explains how quasi-definite systems can be solved using tailored iterative methods for linear least squares (with half as much work!). To encourage researchers and students to use the software, it is provided in MATLAB, Python, and Julia. The authors provide a concise account of the most well-known methods for symmetric systems and least-squares problems, research-level advances in the solution of problems with specific illustrations in optimization and fluid dynamics, and a website that hosts software in three languages. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aSystem analysis. 0aIterative methods (Mathematics) 0aDifferential equations, Linear. 0aLinear systems. aSaddle-point systems aQuasi-definite systems aLinear least squares aIterative methods aKrylov methods1 aArioli, M.q(Mario),eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016053335z9781611974720 0aSIAM spotlights ;v03.403SIAMuhttp://epubs.siam.org/doi/book/http://epubs.siam.org/doi/book/10.1137/1.978161197473703156nam 2200529 i 45000010014000000030005000140050017000190060019000360070015000550080041000700100031001110200030001420200025001720280016001970350025002130350021002380400040002590500022002990820016003211000024003372450201003612640150005623000028007123360021007403370026007613380032007874900040008195040051008595050225009105060072011355200852012075300037020595380036020965380047021325880054021796500025022336530012022586530016022706530024022866530016023106530020023267000025023467100064023717760053024358300041024888560097025299781611974751SIAM20170311133833.0m eo d cr bn |||m|||a170302s2017 pau ob 001 0 eng d a 2016059774z 2016059092 a9781611974751qelectronic z9781611974744qprint50aOT151bSIAM a(CaBNVSL)gtp00566901 a(OCoLC)967457450 aCaBNVSLbengerdacCaBNVSLdCaBNVSL 4aQA433b.Q5 2017eb04a515/.632231 aQi, Liqun,eauthor.10aTensor analysis :bspectral theory and special tensors /cLiqun Qi, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, Ziyan Luo, Beijing Jiaotong University, Beijing, P.R. China. 1aPhiladelphia, Pennsylvania :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[2017] a1 PDF (xiv, 305 pages). atext2rdacontent aelectronic2isbdmedia aonline resource2rdacarrier1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- 1. Introduction -- 2. Eigenvalues of tensors -- 3. Nonnegative tensors -- 4. Spectral hypergraph theory via tensors -- 5. Positive semidefinite tensors -- 6. Completely positive tensors and copositive tensors. aRestricted to subscribers or individual electronic text purchasers.3 aTensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory--some of which are nontrivial--have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on the spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors, which is covered in a chapter. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aDescription based on title page of print version. 0aCalculus of tensors. aTensors aEigenvalues aMultilinear algebra aHypergraphs aSpectral theory1 aLuo, Ziyan,eauthor.2 aSociety for Industrial and Applied Mathematics,epublisher.08iPrint version:w(DLC) 2016059092z9781611974744 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/doi/book/shttp://epubs.siam.org/doi/book/10.1137/1.978161197474403156nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500025002580820016002831000017002992450127003162600140004433000059005834900039006425040051006815050345007325060072010775200846011495300037019955380036020325380047020685880048021156500043021636500026022066530032022326530022022646530031022866530024023176530031023417000021023727000026023937100052024197760065024718300038025368560076025749781611972092SIAM20111107134757.0m eo d cr bn |||m|||a110906s2011 paua ob 001 0 eng d z 2011032264 a9781611972092 (electronic bk.) z9781611972085 (pbk.)50aFA09bSIAM a(CaBNVSL)gtp00549907 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372.5b.B56 2011eb04a518/.632231 aBini, Dario.10aNumerical solution of algebraic Riccati equationsh[electronic resource] /cDario A. Bini, Bruno Iannazzo, Beatrice Meini. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xvi, 256 p.) :bill., digital file.1 aFundamentals of algorithms ;vFA09 aIncludes bibliographical references and index.0 aPreface -- Chapter 1. Introduction and preliminaries -- Chapter 2. Theoretical analysis -- Chapter 3. Classical algorithms -- Chapter 4. Structured invariant subspace methods -- Chapter 5. Doubling algorithms -- Chapter 6. Algorithms for large scale problems -- Appendix A. Basic properties -- Listings -- Notation -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practitioners and scholars. It is the first book in which nonsymmetric algebraic Riccati equations are treated in a clear and systematic way. Some proofs of theoretical results have been simplified and a unified notation has been adopted. Readers will find a unified discussion of doubling algorithms, which are effective in solving algebraic Riccati equations as well as a detailed description of all classical and advanced algorithms for solving algebraic Riccati equations and their MATLAB codes. This will help the reader gain an understanding of the computational issues and provide ready-to-use implementation of the different solution techniques. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/28/2011. 0aRiccati equationxNumerical solutions. 0aDifferential algebra. aalgebraic Riccati equations anumerical methods anonlinear matrix equations adoubling algorithms aquadratic matrix equations1 aIannazzo, Bruno.1 aMeini, B.q(Beatrice)2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972086z9781611972085w(DLC) 2011032264 0aFundamentals of algorithms ;v09.403SIAMuhttp://epubs.siam.org/ebooks/siam/fundamentals_of_algorithms/fa0903215nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500028002580820015002861000025003012450138003262600140004643000061006044900044006655040051007095050424007605060072011845200837012565300037020935380036021305380047021665880048022136500023022616500032022846500037023166530032023536530013023856530025023986530026024236530029024497100052024787760065025308300045025958560081026409781611972078SIAM20111019122649.0m eo d cr bn |||m|||a111013s2011 paua ob 001 0 eng d z 2011032262 a9781611972078 (electronic bk.) z9781611972061 (pbk.)50aSE24bSIAM a(CaBNVSL)gtp00549863 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.76.A98bN38 2011eb04a003/.32231 aNaumann, Uwe,d1969-14aThe art of differentiating computer programsh[electronic resource] :ban introduction to algorithmic differentiation /cUwe Naumann. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xviii, 340 p.) :bill., digital file.1 aSoftware, environments, and tools ;v24 aIncludes bibliographical references and index.0 aPreface -- Acknowledgments -- Optimality -- Chapter 1. Motivation and introduction -- Chapter 2. First derivative code -- Chapter 3. Higher derivative code -- Chapter 4. Derivative code compilers: an introductory tutorial -- Chapter 5. dcc-A prototype derivative code compiler -- Appendix A. Derivative code by overloading -- Appendix B. Syntax of dcc input -- Appendix C. (Hints on) solutions -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers. aThis is the first entry-level book on algorithmic (also known as automatic) differentiation (AD), providing fundamental rules for the generation of first- and higher-order tangent-linear and adjoint code. The author covers the mathematical underpinnings as well as how to apply these observations to real-world numerical simulation programs. Readers will find: examples and exercises, including hints to solutions; the prototype AD tools dco and dcc for use with the examples and exercises; first- and higher-order tangent-linear and adjoint modes for a limited subset of C/C++, provided by the derivative code compiler dcc; a supplementary website containing sources of all software discussed in the book, additional exercises and comments on their solutions (growing over the coming years), links to other sites on AD, and errata. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/13/2011. 0aComputer programs. 0aAutomatic differentiations. 0aSensitivity theory (Mathematics) aalgorithmic differentiation aadjoints asensitivity analysis anonlinear programming aderivative code compiler2 aSociety for Industrial and Applied Mathematics.08iPrint version:z161197206Xz9781611972061w(DLC) 2011032262 0aSoftware, environments, and tools ;v24.403SIAMuhttp://epubs.siam.org/ebooks/siam/software_environments_and_tools/se2403742nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280016001880350025002040400030002290500023002590820017002821000025002992450095003242600140004193000060005594900040006195040051006595050094007105050267008045050269010715050147013405060072014875200955015595300037025145380036025515380047025875880048026346500056026826530033027386530029027716530021028006530026028216530021028476530027028686530025028956530036029207100052029567760065030088300041030738560086031149781611971996SIAM20111019121651.0m eo d cr bn |||m|||a111013s2011 paua ob 001 0 eng d z 2011028309 a9781611971996 (electronic bk.) z9781611971989 (pbk.)50aOT124bSIAM a(CaBNVSL)gtp00549862 aCaBNVSLcCaBNVSLdCaBNVSL 4aQC996b.E37 2011eb04a551.63/42231 aEhrendorfer, Martin.10aSpectral numerical weather prediction modelsh[electronic resource] /cMartin Ehrendorfer. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xxvi, 498 p.) :bill., digital file.1 aOther titles in applied mathematics aIncludes bibliographical references and index.0 aPreface -- Acknowledgments -- List of figures -- List of tables -- List of algorithms -- 8 aPart I. Atmospheric dynamical models. Chapter 1. Introduction -- Chapter 2. Governing atmospheric dynamics -- Chapter 3. The primitive equations -- Chapter 4. The shallow-water model -- Chapter 5. The barotropic vorticity equation -- Chapter 6. Balanced flow -- 8 aPart II. Spectral numerical models. Chapter 7. The spectral method -- Chapter 8. Vertical discretization -- Chapter 9. Time integration -- Chapter 10. Code structure of PEAK -- Chapter 11. Experimentation with PEAK -- Chapter 12. Barotropic PEAK configurations -- 8 aAppendix A. Tensor analysis -- Appendix B. Spectral basis functions -- Appendix C. The PEAK model code -- After word -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers. aThis book provides a comprehensive overview of numerical weather prediction (NWP) focusing on the application of the spectral method in NWP models. The author illustrates the use of the spectral method in theory as well as in its application to building a full prototypical spectral NWP model, from the formulation of continuous model equations through development of their discretized forms to coded statements of the model. The author describes the implementation of a specific model - PEAK (Primitive-Equation Atmospheric Research Model Kernel) - to illustrate the steps needed to construct a global spectral NWP model. The book brings together all the spectral, time, and vertical discretization aspects relevant for such a model. It provides readers with information necessary to construct spectral NWP models; a self-contained, well-documented, coded spectral NWP model; and theoretical and practical exercises, some of which include solutions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/13/2011. 0aNumerical weather forecastingxMathematical models. anumerical weather prediction aweather prediction model aspectral methods acollocation technique atransform method afast Fourier transform aatmospheric dynamics ahydrostatic primitive equations2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611971985z9781611971989w(DLC) 2011028309 0aOther titles in applied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot12402863nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500026002580820017002841000019003012450140003202600140004603000058006004900049006585040051007075050210007585060072009685200679010405300037017195380036017565380047017925880048018396500031018876500037019186530033019556530020019886530023020086530035020316530022020667000027020887100052021157760065021678300050022328560087022829781611972054SIAM20111019120337.0m eo d cr bn |||m|||a111013s2011 paua ob 001 0 eng d z 2011033263 a9781611972054 (electronic bk.) z9781611972047 (pbk.)50aCS08bSIAM a(CaBNVSL)gtp00549861 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.B655 2011eb04a515/.3532231 aBorzi, Alfio.10aComputational optimization of systems governed by partial differential equationsh[electronic resource] /cAlfio Borzi, Volker Schulz. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xx, 282 p.) :bill., digital file.1 aComputational science and engineering series aIncludes bibliographical references and index.0 aIntroduction -- Optimality conditions -- Discretization of optimality systems -- Single-grid optimization -- Multigrid methods -- PDE optimization with uncertainty -- Applications -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers. aThis book fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes. The book offers readers a combined treatment of PDE-constrained optimization and uncertainties and an extensive discussion of multigrid optimization. It provides a bridge between continuous optimization and PDE modeling and focuses on the numerical solution of the corresponding problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/13/2011. 0aMathematical optimization. 0aDifferential equations, Partial. aPDE constrained optimization aoptimal control ashape optimization anumerical optimization methods amultigrid methods1 aSchulz, Volker,d1965-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972043z9781611972047w(DLC) 2011033263 0aComputational science and engineering series.403SIAMuhttp://epubs.siam.org/ebooks/siam/computational_science_and_engineering/cs0803459nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500026002580820017002841000021003012450132003222600140004543000059005944900069006535040051007225050500007735060072012735200927013455300037022725380036023095380047023455880048023926500047024406500026024876530046025136530022025596530026025816530019026076530022026267000022026487100052026707760065027228300070027878560108028579781611972016SIAM20111019115738.0m eo d cr bn |||m|||a111013s2011 paua ob 001 0 eng d z 2011029546 a9781611972016 (electronic bk.) z9781611972009 (pbk.)50aCB83bSIAM a(CaBNVSL)gtp00549860 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA274.25b.J46 2011eb04a515/.3532231 aJentzen, Arnulf.10aTaylor approximations for stochastic partial differential equationsh[electronic resource] /cArnulf Jentzen, Peter E. Kloeden. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xiv, 220 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v83 aIncludes bibliographical references and index.0 aChapter 1. Introduction -- Part I. Random and stochastic ordinary partial differential equations: Chapter 2. RODEs; Chapter 3. SODEs; Chapter 4. SODEs with nonstandard assumptions -- Part II. Stochastic partial differential equations: Chapter 5. SPDEs; Chapter 6. Numerical methods for SPDEs; Chapter 7. Taylor approximations for SPDEs with additive noise; Chapter 8. Taylor approximations for SPDEs with multiplicative noise -- Appendix. Regularity estimates for SPDEs -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers. aThis book presents a systematic theory of Taylor expansions of evolutionary-type stochastic partial differential equations (SPDEs). The authors show how Taylor expansions can be used to derive higher order numerical methods for SPDEs, with a focus on pathwise and strong convergence. In the case of multiplicative noise, the driving noise process is assumed to be a cylindrical Wiener process, while in the case of additive noise the SPDE is assumed to be driven by an arbitrary stochastic process with Hlder continuous sample paths. Recent developments on numerical methods for random and stochastic ordinary differential equations are also included since these are relevant for solving spatially discretised SPDEs as well as of interest in their own right. The authors include the proof of an existence and uniqueness theorem under general assumptions on the coefficients as well as regularity estimates in an appendix. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 10/13/2011. 0aStochastic partial differential equations. 0aApproximation theory. astochastic partial differential equations aTaylor expansions aTaylor approximations amild solutions anumerical methods1 aKloeden, Peter E.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972000z9781611972009w(DLC) 2011029546 0aCBMS-NSF regional conference series in applied mathematics ;v83.403SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb8303270nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030350021002280400030002490500023002790820016003021000022003182450093003402600140004333000057005734900039006305040053006695050284007225060072010065201077010785300037021555380036021925380047022285880048022756500016023236500016023396500017023556530035023726530023024076530032024306530024024626530028024867000020025147100052025347760065025868300038026518560063026899781611971941SIAM20110826123652.0m eo d cr bn |||m|||a110825s2011 paua ob 001 0 eng d z 2011021076 a9781611971941 (electronic bk.) z9781611971934 (pbk.)50aFA08bSIAM a(CaBNVSL)gtp00549349 a(OCoLC)748121740 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA521b.E83 2011eb04a516/.082231 aEscalante, Rene.10aAlternating projection methodsh[electronic resource] /cRene Escalante, Marcos Raydan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (x, 127 p.) :bill., digital file.1 aFundamentals of algorithms ;vFA08 aIncludes bibliographical references and indexes.0 aPreface -- Chapter 1. Introduction -- Chapter 2. Overview on spaces -- Chapter 3. The MAP on subspaces -- Chapter 4. Row-action methods -- Chapter 5. Projecting on convex sets -- Chapter 6. Applications of MAP for matrix problems -- Bibliography -- Author index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book describes and analyzes all available alternating projection methods for solving the general problem of finding a point in the intersection of several given sets belonging to a Hilbert space. For each method the authors describe and analyze convergence, speed of convergence, acceleration techniques, stopping criteria, and applications. Different types of algorithms and applications are studied for subspaces, linear varieties, and general convex sets. The authors also unify these algorithms into a common theoretical framework. The book provides readers with the theoretical and practical aspects of the most relevant alternating projection methods in a single accessible source; it gives several acceleration techniques for every method it presents and analyzes, including schemes that cannot be found in other books; and it provides full descriptions of several important mathematical problems and specific applications for which the alternating projection methods represent an efficient option including examples and problems that illustrate this material. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/25/2011. 0aProjection. 0aAlgorithms. 0aConvex sets. aAlternating projection methods aRow-action methods aConvex feasibility problems aDykstra's algorithm aAcceleration techniques1 aRaydan, Marcos.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611971934z9781611971934w(DLC) 2011021076 0aFundamentals of algorithms ;v08.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/978161197194103048nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500023002580820017002811000027002982450086003252500013004112600140004243000058005644900042006225000071006645040051007355050449007865060072012355200625013075300037019325380036019695380047020055880048020526500050021006500059021506530014022096530019022236530013022426530028022556530018022837100052023017760065023538300043024188560081024619781611972030SIAM20110826123654.0m eo d cr bn |||m|||a110825r20111985paua ob 001 0 eng d z 2011028564 a9781611972030 (electronic bk.) z9781611972023 (pbk.)50aCL69bSIAM a(CaBNVSL)gtp00549348 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA379b.G74 2011eb04a515/.7822231 aGrisvard, P.q(Pierre)10aElliptic problems in nonsmooth domainsh[electronic resource] /cPierre Grisvard. aSIAM ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xx, 410 p.) :bill., digital file.1 aClassics in applied mathematics ;v69 aOriginally published: Boston : Pitman Advanced Pub. Program, 1985. aIncludes bibliographical references and index.0 aForeword -- Preface -- Chapter 1. Sobolev spaces -- Chapter 2. Regular second-order elliptic boundary value problems -- Chapter 3. Second-order elliptic boundary value problems in convex domains -- Chapter 4. Second-order boundary value problems in polygons -- Chapter 5. More singular solutions -- Chapter 6. Results in spaces of Hlder functions -- Chapter 7. A model fourth-order problem -- Chapter 8. Miscellaneous -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis classic text focuses on elliptic boundary value problems in domains with nonsmooth boundaries and on problems with mixed boundary conditions. Its contents are essential for an understanding of the behavior of numerical methods for partial differential equations (PDEs) on two-dimensional domains with corners. Elliptic problems in nonsmooth domains: provides a careful and self-contained development of Sobolev spaces on nonsmooth domains, develops a comprehensive theory for second-order elliptic boundary value problems, and addresses fourth-order boundary value problems and numerical treatment of singularities. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/25/2011. 0aBoundary value problemsxNumerical solutions. 0aDifferential equations, EllipticxNumerical solutions. aNonsmooth aSobolev spaces aEllipses aBoundary value problems aSingularities2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611972027z9781611972023w(DLC) 2011028564 0aClassics in applied mathematics ;v69.403SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl6903068nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500023002580820017002811000026002982450072003242600140003963000053005364900069005895040051006585050341007095060072010505200899011225300037020215380036020585380047020945880048021416500019021896530014022086530023022226530010022456530026022556530022022817100052023037760065023558300070024208560108024909781611971972SIAM20110826123656.0m eo d cr bn |||m|||a110825s2011 pau ob 001 0 eng d z 2011023014 a9781611971972 (electronic bk.) z9781611971965 (pbk.)50aCB82bSIAM a(CaBNVSL)gtp00549347 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.N49 2011eb04a515/.3532231 aNi, W.-M.q(Wei-Ming)14aThe mathematics of diffusionh[electronic resource] /cWei-Ming Ni. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xii, 110 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v82 aIncludes bibliographical references and index.0 aIntroduction: the heat equation -- Dynamics of general reaction-diffusion equations and systems -- Qualitative properties of steady states of reaction-diffusion equations and systems -- Diffusion in heterogeneous environments: 2 x 2 Lotka-Volterra competition systems -- Beyond diffusion: directed movements, taxis, and cross-diffusion.1 aRestricted to subscribers or individual electronic text purchasers.3 aDiffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements, and spatial heterogeneity in the classical Lotka-Volterra competition systems. Interspersed throughout the book are many simple, fundamental, and important open problems for readers to investigate. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/25/2011. 0aHeat equation. aDiffusion aDirected movements aTaxis aSpatial heterogeneity aPattern formation2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611971969z9781611971965w(DLC) 2011023014 0aCBMS-NSF regional conference series in applied mathematics ;v82.403SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb8203025nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500024002580820017002821000024002992450131003232600140004543000059005944900069006535040051007225050276007735060072010495200806011215300037019275380036019645380047020005880048020476500021020956500030021166500035021466530020021816530036022016530023022377100052022607760065023128300070023778560108024479781611971873SIAM20110826123658.0m eo d cr bn |||m|||a110825s2011 paua ob 001 0 eng d z 2011023012 a9781611971873 (electronic bk.) z9781611971866 (pbk.)50aCB81bSIAM a(CaBNVSL)gtp00549346 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA927b.C596 2011eb04a551.46/32231 aConstantin, Adrian.10aNonlinear water waves with applications to wave-current interactions and tsunamish[electronic resource] /cAdrian Constantin. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xii, 320 p.) :bill., digital file.1 aCBMS-NSF Regional conference series in applied mathematics ;v81 aIncludes bibliographical references and index.0 aPreface -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Wave-current interactions -- Chapter 4. Fluid kinematics for wave trains -- Chapter 5. Solitary water waves -- Chapter 6. Breaking waves -- Chapter 7. Modeling tsunamis -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 08/25/2011. 0aNonlinear waves. 0aNonlinear wave equations. 0aTsunamisxMathematical models. aNonlinear waves aElliptic free boundary problems aBifurcation theory2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611971861z9781611971866w(DLC) 2011023012 0aCBMS-NSF Regional conference series in applied mathematics ;v81.403SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb8103297nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500021002580820018002791000018002972450062003152600140003773000059005174900044005765040051006205050249006715060072009205201175009925300037021675380036022045380047022405880048022876500041023356500026023766500023024026530017024256530013024426530019024556530023024746530021024976530030025187100052025487760065026008300045026658560081027109781611971903SIAM20110718141418.0m eo d cr bn |||m|||a110713s2011 paua ob 001 0 eng d z 2011016187 a9781611971903 (electronic bk.) z9781611971897 (pbk.)50aSE23bSIAM a(CaBNVSL)gtp00548800 aCaBNVSLcCaBNVSLdCaBNVSL 4aT57b.K45 2011eb04a601/.51962231 aKelley, C. T.10aImplicit filteringh[electronic resource] /cC.T. Kelley. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xiv, 172 p.) :bill., digital file.1 aSoftware, environments, and tools ;v23 aIncludes bibliographical references and index.0 aIntroduction -- Getting started with imfil.m -- Notation and preliminaries -- Implicit filtering algorithm -- Convergence theory -- Using imfil.m -- Advanced options -- Harmonic oscillator -- Hydraulic capture problem -- Water resources policy.1 aRestricted to subscribers or individual electronic text purchasers.3 aImplicit filtering is a way to solve bound-constrained optimization problems for which derivative information is not available. Unlike methods that use interpolation to reconstruct the function and its higher derivatives, implicit filtering builds upon coordinate search and then interpolates to get an approximation of the gradient. The author describes the algorithm, its convergence theory, and a new MATLAB implementation, and includes three case studies. This book is unique in that it is the only one in the area of derivative-free or sampling methods and is accompanied by publicly available software. It is also designed as a software manual and as a reference for implicit filtering - one can approach the book as a consumer of the software, as a student, or as a researcher in sampling and derivative-free methods. The book includes a chapter on convergence theory that is both accessible to students and an overview of recent results on optimization of noisy functions, including results that depend on non-smooth analysis and results on the handling of constraints. Implicit filtering is used in applications in electrical, civil, and mechanical engineering. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 06/08/2011. 0aIndustrial engineeringxMathematics. 0aFilters (Mathematics) 0aPrediction theory. aoptimization asampling anoisy problems aimplicit filtering ainverse problems asoftware for optimization2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611971896z9781611971897w(DLC) 2011016187 0aSoftware, environments, and tools ;v23.403SIAMuhttp://epubs.siam.org/ebooks/siam/software_environments_and_tools/se2303459nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500025002580820016002831000027002992450109003262600140004353000054005754900042006295000086006715040051007575050292008085060072011005201065011725300037022375380036022745380047023105880048023576500036024056500036024416500017024776500025024946530023025196530029025426530033025716530028026046530029026326530027026617100052026887760065027408300043028058560081028489781611971927SIAM20110718141420.0m eo d cr bn |||m|||a110713r20111996paua ob 001 0 eng d z 2011015720 a9781611971927 (electronic bk.) z9781611971910 (pbk.)50aCL68bSIAM a(CaBNVSL)gtp00548799 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297.8b.F57 2011eb04a518/.262231 aFischer, Bernd,d1957-10aPolynomial based iteration methods for symmetric linear systemsh[electronic resource] /cBernd Fischer. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (283 p.) :bill., digital file.1 aClassics in applied mathematics ;v68 aOriginally published: Chichester ; New York : Wiley ; Stuttgart : Teubner, c1996. aIncludes bibliographical references and index.0 aIntroduction -- Orthogonal polynomials -- Chebyshev and optimal polynomials -- Orthogonal polynomials and krylov subspaces -- Estimating the spectrum and the distribution function -- Parameter free methods -- Parameter dependent methods -- The stokes problem -- Approximating the A-norm.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book provides a concise introduction to computational methods for solving large linear systems of equations. It is the only textbook that treats iteration methods for symmetric linear systems from a polynomial point of view. This particular feature enables readers to understand the convergence behavior and subtle differences of the various schemes, which are useful tools for the design of powerful preconditioners. Published nearly 15 years ago, Polynomial Based Iteration Methods for Symmetric Linear Systems continues to be useful to the mathematical, scientific, and engineering communities as a presentation of what appear to be the most efficient methods for symmetric linear systems of equations. To help potential users of numerical iteration algorithms design schemes for their particular needs, the author provides MATLAB code on a supplementary Web page to serve as a guideline. The code not only solves the linear system but also computes the underlying residual polynomials, illustrating the convergence behavior of the given linear system. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 06/08/2011. 0aIterative methods (Mathematics) 0aEquationsxNumerical solutions. 0aPolynomials. 0aSymmetric operators. anumerical analysis asymmetric linear systems apolynomial iteration methods aKrylov subspace methods anumerical linear algebra aorthogonal polynomials2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611971918z9781611971910w(DLC) 2011015720 0aClassics in applied mathematics ;v68.403SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl6804587nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500024002580820022002821000018003042450129003222500013004512600140004643000054006044900042006585040051007005050164007515050816009155050387017315060072021185201138021905300037033285380036033655380047034015880048034486500033034966500043035296500058035726530018036306530017036486530014036656530031036796530030037106530033037407000019037737100052037927760065038448300043039098560081039529781611970753SIAM20110601135720.0m eo d cr bn |||m|||a110315s2011 pau ob 001 0 eng d z 2011011296 a9781611970753 (electronic bk.) z9781611970746 (pbk.)50aCL67bSIAM a(CaBNVSL)gtp00547935 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA911b.B667 2011eb04a532/.050151822221 aBrandt, Achi.10aMultigrid techniquesh[electronic resource] :b1984 guide with applications to fluid dynamics /cAchi Brandt, Oren E. Livne. aRev. ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xxii, 218 p.) :bdigital file.1 aClassics in applied mathematics ;v67 aIncludes bibliographical references and index.0 aList of figures -- List of tables -- Preface to Classics edition -- Preface -- Chapter 0. Introduction -- Chapter 1. Elementary acquaintance with Multigrid -- 8 aPart I. Stages in developing fast solvers. Chapter 2. Stable discretization -- Chapter 3. Interior relaxation and smoothing factors -- Chapter 4. Interior two-level cycles -- Chapter 5. Boundary conditions and two-level cycling -- Chapter 6. Many-level cycles -- Chapter 7. Full Multi-Grid (FMG) algorithms -- Part II. Advanced techniques and insights -- Chapter 8. Full approximation scheme (FAS) and applications -- Chapter 9. Local refinements and grid adaptation -- Chapter 10. Higher-order techniques -- Chapter 11. Coarsening guided by discretization -- Chapter 12. True role of relaxation -- Chapter 13. Dealgebraization of Multigrid -- Chapter 14. Practical role of rigorous analysis and quantitative predictions -- Chapter 15. Chains of problems. frozen [tau] -- Chapter 16. Time dependent problems -- 8 aPart II. Applications to fluid dynamics. Chapter 17. Cauchy-Riemann equations -- Chapter 18. Steady-state Stokes equations -- Chapter 19. Steady-state incompressible Navier-Stokes equations -- Chapter 20. Compressible Navier-Stokes and Euler equations -- Chapter 21. Remarks on solvers for transonic potential equations -- Appendix. Test cycle: MATLAB code -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers. aThis classic text presents the best practices of developing multigrid solvers for large-scale computational problems in science and engineering. By representing a problem at multiple scales and employing suitable interscale interactions, multigrid avoids slowdown due to stiffness and reduces the computational cost of classical algorithms by orders of magnitude. Starting from simple examples, this book guides the reader through practical stages for developing reliable multigrid solvers, methodically supported by accurate performance predictors. The revised edition presents discretization and fast solution of linear and nonlinear partial differential systems; treatment of boundary conditions, global constraints and singularities; grid adaptation, high-order approximations, and system design optimization; applications to fluid dynamics, from simple models to advanced systems; new quantitative performance predictors, a MATLAB sample code, and more. Readers will also gain access to the Multigrid Guide 2.0 Web site, where updates and new developments will be continually posted, including a chapter on Algebraic Multigrid. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 05/31/2011. 0aFluid dynamicsxMathematics. 0aMultigrid methods (Numerical analysis) 0aDifferential equations, PartialxNumerical solutions. aNumerical PDE aFast solvers aMultigrid aAdaptive local refinements aHigh order discretization aComputational fluid dynamics1 aLivne, Oren E.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611970741z9781611970746w(DLC) 2011011296 0aClassics in applied mathematics ;v67.403SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl6703043nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500023002580820018002811000013002992450091003122500013004032600140004163000053005564900042006095040051006515050527007025060072012295200697013015300037019985380036020355380047020715880048021186500027021666500017021936530016022106530020022266530019022466530019022656530024022847100052023087760065023608300043024258560081024689781611970739SIAM20110601135722.0m eo d cr bn |||m|||a110316s2011 pau ob 001 0 eng d z 2011007040 a9781611970739 (electronic bk.) z9781611970722 (pbk.)50aCL66bSIAM a(CaBNVSL)gtp00547934 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.S18 2011eb04a512.9/4362221 aSaad, Y.10aNumerical methods for large eigenvalue problemsh[electronic resource] /cYousef Saad. aRev. ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xvi, 276 p.) :bdigital file.1 aClassics in applied mathematics ;v66 aIncludes bibliographical references and index.0 aPreface to the Classics edition -- Preface -- Chapter 1. Background in matrix theory and linear algebra -- Chapter 2. Sparse matrices -- Chapter 3. Perturbation theory and error analysis -- Chapter 4. The tools of spectral approximation -- Chapter 5. Subspace iteration -- Chapter 6. Krylov subspace methods -- Chapter 7. Filtering and restarting techniques -- Chapter 8. Preconditioning techniques -- Chapter 9. Non-standard eigenvalue problems -- Chapter 10. Origins of matrix eigenvalue problems -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 05/31/2011. 0aNonsymmetric matrices. 0aEigenvalues. aEigenvalues aSparse matrices aLarge matrices aKrylov methods aMatrix computations2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611970725z9781611970722w(DLC) 2011007040 0aClassics in applied mathematics ;v66.403SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl6603477nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500025002580820018002831000034003012450094003352600140004293000056005694900042006255000059006675040051007265050666007775060072014435200835015155300037023505380036023875380047024235880048024706500022025186500026025406500034025666530020026006530021026206530025026416530034026666530030027007100052027307760065027828300043028478560081028909781611970678SIAM20110601135727.0m eo d cr bn |||m|||a110531r20111983pau ob 001 0 eng d z 2011007037 a9781611970678 (electronic bk.) z9780898719994 (pbk.)50aCL65bSIAM a(CaBNVSL)gtp00547933 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA329.2b.C48 2011eb04a515/.72462221 aChaitin-Chatelin, Francoise.10aSpectral approximation of linear operatorsh[electronic resource] /cFrancoise Chatelin. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xxviii, 458 p.) :bdigital file.1 aClassics in applied mathematics ;v65 aOriginally published: New York : Academic Press, 1983. aIncludes bibliographical references and index.0 aPreface to the Classics edition -- Foreword -- Preface -- Notation -- List of errata -- Chapter 1. The matrix Eigenvalue problem -- Chapter 2. Elements of functional analysis: basic concepts -- Chapter 3. Elements of functional analysis: convergence and perturbation theory -- Chapter 4. Numerical approximation methods for integral and differential operators -- Chapter 5. Spectral approximation of a closed linear operator -- Chapter 6. Error bounds and localization results for the Eigenelements -- Chapter 7. Some examples of applications -- Appendix. Discrete approximation theory -- References -- Solutions to exercises -- Notation index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis classic textbook provides a unified treatment of spectral approximation for closed or bounded operators as well as for matrices. Despite significant changes and advances in the field since it was first published in 1983, the book continues to form the theoretical bedrock for any computational approach to spectral theory over matrices or linear operators. This coverage of classical results is not readily available elsewhere. The text offers in-depth coverage of properties of various types of operator convergence, the spectral approximation of non-self-adjoint operators, a generalization of classical perturbation theory, and computable errors bounds and iterative refinement techniques, along with many exercises (with solutions), making it a valuable textbook for graduate students and reference manual for self-study. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 05/31/2011. 0aLinear operators. 0aApproximation theory. 0aSpectral theory (Mathematics) aSpectral theory aClosed operation aIsolated eigenvalues aStrongly stable approximation aA posteriori error bounds2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898719992z9780898719994w(DLC) 2011007037 0aClassics in applied mathematics ;v65.403SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl6503612nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500023002580820016002811000022002972450159003192600140004783000053006184900036006715040051007075050625007585060072013835200997014555300037024525380036024895380047025255880048025726500021026206500030026416500043026716500027027146530030027416530033027716530027028046530020028316530020028517100052028717760065029238300037029888560081030259781611970692SIAM20110601135724.0m eo d cr bn |||m|||a110308s2011 pau ob 001 0 eng d z 2011005282 a9781611970692 (electronic bk.) z9781611970685 (pbk.)50aMO11bSIAM a(CaBNVSL)gtp00547932 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA323b.U43 2011eb04a515/.642221 aUlbrich, Michael.10aSemismooth Newton methods for variational inequalities and constrained optimization problems in function spacesh[electronic resource] /cMichael Ulbrich. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xiv, 308 p.) :bdigital file.1 aMOS-SIAM series on optimization aIncludes bibliographical references and index.0 aNotation -- Preface -- Chapter 1. Introduction -- Chapter 2. Elements of finite-dimensional nonsmooth analysis -- Chapter 3. Newton methods for semismooth operator equations -- Chapter 4. Smoothing steps and regularity conditions -- Chapter 5. Variational inequalities and mixed problems -- Chapter 6. Mesh independence -- Chapter 7. Trust-region globalization -- Chapter 8. State-constrained and related problems -- Chapter 9. Several applications -- Chapter 10. Optimal control of incompressible Navier-Stokes flow -- Chapter 11. Optimal control of compressible Navier-Stokes flow -- Appendix -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aSemismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 05/31/2011. 0aFunction spaces. 0aConstrained optimization. 0aVariational inequalities (Mathematics) 0aNewton-Raphson method. aSemismooth Newton methods aPDE constrained optimization aVariational inequality aComplementarity aFunction spaces2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611970687z9781611970685w(DLC) 2011005282 0aMOS-SIAM series on optimization.403SIAMuhttp://epubs.siam.org/ebooks/siam/mos-siam_series_on_optimization/mo1103237nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200038001630280016002010350025002170400030002420500023002720820016002951000027003112450107003382600140004453000053005854900024006385040051006625050444007135060072011575200987012295300037022165380036022535380047022895880048023366500014023846530042023986530022024406530030024626530025024926530022025177100052025397760065025918300025026568560086026819781611970715SIAM20110601135716.0m eo d cr bn |||m|||a110329s2011 pau ob 001 0 eng d z 2011007832 a9781611970715 (electronic bk.) z9781611970708 (pbk. : alk. paper)50aOT123bSIAM a(CaBNVSL)gtp00547931 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA851b.S84 2011eb04a512.9/72221 aStewart, David,d1961-10aDynamics with inequalitiesh[electronic resource] :bimpacts and hard constraints /cDavid E. Stewart. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xiv, 389 p.) :bdigital file.1 aApplied mathematics aIncludes bibliographical references and index.0 aPreface -- Chapter 1. Some examples -- Chapter 2. Static problems -- Chapter 3. Formalisms -- Chapter 4. Variations on the theme -- Chapter 5. Index zero and index one -- Chapter 6. Index two: impact problems -- Chapter 7. Fractional index problems -- Chapter 8. Numerical methods -- Appendix A. Some basics of functional analysis -- Appendix B. Convex and nonsmooth analysis -- Appendix C. Differential equations -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 05/31/2011. 0aDynamics. aDifferential variational inequalities aMechanical impact aDynamics with constraints aCircuits with diodes aEconomic networks2 aSociety for Industrial and Applied Mathematics.08iPrint version:z1611970709z9781611970708w(DLC) 2011007832 0aApplied mathematics.403SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot12303697nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030350021002280400030002490500024002790820015003031000036003182450093003542600140004473000054005874900049006415040051006905050735007415060072014765201086015485300037026345380036026715380047027075880048027546500045028026500024028476500016028716530022028876530025029096530015029347000024029497100052029737760065030258300050030908560063031409780898719987SIAM20110601135718.0m eo d cr bn |||m|||a110408s2011 pau ob 001 0 eng d z 2011007041 a9780898719987 (electronic bk.) z9780898719970 (pbk.)50aCS07bSIAM a(CaBNVSL)gtp00547930 a(OCoLC)875013514 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297b.A748 2011eb04a518/.42221 aAscher, U. M.q(Uri M.),d1946-12aA first course in numerical methodsh[electronic resource] /cUri M. Ascher, Chen Greif. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c2011. a1 electronic text (xxii, 553 p.) :bdigital file.1 aComputational science and engineering series aIncludes bibliographical references and index.0 aList of figures -- List of tables -- Preface -- Chapter 1. Numerical algorithms -- Chapter 2. Roundoff errors -- Chapter 3. Nonlinear equations in one variable -- Chapter 4. Linear algebra background -- Chapter 5. Linear systems: direct methods -- Chapter 6. Linear least squares problems -- Chapter 7. Linear systems: iterative methods -- Chapter 8. Eigenvalues and singular values -- Chapter 9. Nonlinear systems and optimization -- Chapter 10. Polynomial interpolation -- Chapter 11. Piecewise polynomial interpolation -- Chapter 12. Best approximation -- Chapter 13. Fourier Transform -- Chapter 14. Numerical differentiation -- Chapter 15. Numerical integration -- Chapter 16. Differential equations -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers. aThis book is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques. The authors focus on current methods, issues, and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLAB, with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. A variety of exercises are provided within each chapter along with review questions aimed at self-testing. The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science, and industrial mathematics. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 05/31/2011. 0aNumerical calculationsxData processing. 0aNumerical analysis. 0aAlgorithms. aNumerical methods aScientific computing aAlgorithms1 aGreif, Chen,d1965-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898719976z9780898719970w(DLC) 2011007041 0aComputational science and engineering series.403SIAMuhttp://epubs.siam.org/doi/book/10.1137/978089871998703903nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630280015001880350025002030400030002280500028002580820015002862450120003012600141004213000062005624900044006245040051006685050094007195050422008135050157012355050330013925060072017225200911017945300037027055380036027425380047027785880050028256500022028756500022028976530021029196530021029406530021029616530020029826530025030026530039030277000030030667000038030967100052031347760053031868300041032398560081032809780898719918SIAM20110516112910.0m eo d cr bn |||m|||a110516s2011 paua ob 001 0 eng d z 2011003774 a9780898719918 (electronic bk.) z9780898719901 (pbk.)50aSE22bSIAM a(CaBNVSL)gtp00547868 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA166.245b.G723 2011eb04a511/.622200aGraph algorithms in the language of linear algebrah[electronic resource] /cedited by Jeremy Kepner, John Gilbert. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),cc2011. a1 electronic text (xxviii, 361 p.) :bill., digital file.1 aSoftware, environments, and tools ;v22 aIncludes bibliographical references and index.0 aList of figures -- List of tables -- List of algorithms -- Preface -- Acknowledgments -- 8 aPart I. Algorithms. Chapter 1. Graphs and matrices -- Chapter 2. Linear algebraic notation and definitions -- Chapter 3. Connected components and minimum paths -- Chapter 4. Some graph algorithms in an array-based language -- Chapter 5. Fundamental graph algorithms -- Chapter 6. Complex graph algorithms -- Chapter 7. Multilinear algebra for analyzing data with multiple linkages -- Chapter 8. Subgraph detection -- 8 aPart II. Data. Chapter 9. Kronecker graphs -- Chapter 10. The Kronecker theory of power law graphs -- Chapter 11. Visualizing large Kronecker graphs -- 8 aPart III. Computation Chapter 12. Large-scale network analysis -- Chapter 13. Implementing sparse matrices for graph algorithms -- Chapter 14. New ideas in sparse matrix-matrix multiplication -- Chapter 15. Parallel mapping of sparse computations -- Chapter 16. Fundamental questions in the analysis of large graphs -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed May 16, 2011. 0aGraph algorithms. 0aAlgebras, Linear. aGraph algorithms aNetwork analysis aAdjacency matrix aSparse matrixes aParallel programming aCombinatorial scientific computing1 aKepner, Jeremy V.,d1969-1 aGilbert, J. R.q(John R.),d1953-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z9780898719901w(DLC) 2011003774 0aSoftware, environments, tools ;v22.403SIAMuhttp://epubs.siam.org/ebooks/siam/software_environments_and_tools/se2203748nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820014003051000018003192450078003372600140004153000058005554900043006135040064006565050430007205060072011505201301012225300037025235380036025605380047025965880048026436500031026916500036027226530017027586530022027756530021027976530016028186530020028346530014028546530020028686530023028886530029029116530011029407100052029517760065030038300044030688560082031129781611970920SIAM20110503174026.0m eo d cr bn |||m|||a110503s1999 paua ob 001 0 eng d z 99011141 a9781611970920 (electronic bk.) z0898714338 (pbk.) z9780898714333 (pbk.)50aFR18bSIAM a(CaBNVSL)gtp00547416 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.K44 1999eb04a519.32211 aKelley, C. T.10aIterative methods for optimizationh[electronic resource] /cC.T. Kelley. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xv, 180 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v18 aIncludes bibliographical references (p. 161-176) and index.0 aPreface -- How to get the software -- Part I. Optimization of smooth functions. Chapter 1. Basic concepts; Chapter 2. Local convergence of Newton's method; Chapter 3. Global convergence; Chapter 4. The BFGS method; Chapter 5. Simple bound constraints -- Part II. Optimization of noisy functions. Chapter 6. Basic concepts and goals; Chapter 7. Implicit filtering; Chapter 8. Direct search algorithms -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematical optimization. 0aIterative methods (Mathematics) aOptimization aIterative methods aSmooth functions aConvergence aNewton's method aGradients aNoisy functions aImplicit filtering aDirect search algorithms aMATLAB2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714338z9780898714333w(DLC) 99011141 0aFrontiers in applied mathematics ;v18.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1804430nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820014003051000021003192450091003402600140004313000060005714900043006315040064006745050785007385060072015235201637015955300037032325380036032695380047033055880048033526500036034006500050034366530035034866530019035216530022035406530020035626530032035826530022036146530033036367100052036697760065037218300044037868560082038309781611970937SIAM20110503174024.0m eo d cr bn |||m|||a110502s1997 paua ob 001 0 eng d z 97023271 a9781611970937 (electronic bk.) z089871396X (pbk.) z9780898713961 (pbk.)50aFR17bSIAM a(CaBNVSL)gtp00547415 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297.8b.G74 1997eb04a519.42211 aGreenbaum, Anne.10aIterative methods for solving linear systemsh[electronic resource] /cAnne Greenbaum. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1997. a1 electronic text (xiii, 220 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v17 aIncludes bibliographical references (p. 205-212) and index.0 aList of algorithms -- Preface -- Chapter 1. Introduction: brief overview of the state of the art -- Part I. Krylov subspace approximations. Chapter 2. Some iteration methods: simple iteration; Chapter 3. Error bounds for CG, MINRES, and GMRES: Hermitian problems-CG and MINRES; Chapter 4. Effects of finite precision arithmetic: some numerical examples; Chapter 5. BiCG and related methods: the two-sided Lanczos algorithm; Chapter 6. Is there a short recurrence for a near-optimal approximation?; Chapter 7. Miscellaneous issues -- Part II. Preconditioners. Chapter 8. Overview and preconditioned algorithms; Chapter 9. Two example problems; Chapter 10. Comparison of preconditioners; Chapter 11. Incomplete decompositions; Chapter 12. Multigrid and domain decomposition methods.1 aRestricted to subscribers or individual electronic text purchasers.3 aMuch recent research has concentrated on the efficient solution of large sparse or structured linear systems using iterative methods. A language loaded with acronyms for a thousand different algorithms has developed, and it is often difficult even for specialists to identify the basic principles involved. Here is a book that focuses on the analysis of iterative methods. The author includes the most useful algorithms from a practical point of view and discusses the mathematical principles behind their derivation and analysis. Several questions are emphasized throughout: Does the method converge? If so, how fast? Is it optimal, among a certain class? If not, can it be shown to be near-optimal? The answers are presented clearly, when they are known, and remaining important open questions are laid out for further study. Greenbaum includes important material on the effect of rounding errors on iterative methods that has not appeared in other books on this subject. Additional important topics include a discussion of the open problem of finding a provably near-optimal short recurrence for non-Hermitian linear systems; the relation of matrix properties such as the field of values and the pseudospectrum to the convergence rate of iterative methods; comparison theorems for preconditioners and discussion of optimal preconditioners of specified forms; introductory material on the analysis of incomplete Cholesky, multigrid, and domain decomposition preconditioners, using the diffusion equation and the neutron transport equation as example problems. A small set of recommended algorithms and implementations is included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aIterative methods (Mathematics) 0aEquations, SimultaneousxNumerical solutions. aKrylov subspace approximations aLinear systems aIterative methods aPreconditioners aFinite precision arithmetic aMultigrid methods aDomain decomposition methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871396Xz9780898713961w(DLC) 97023271 0aFrontiers in applied mathematics ;v17.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1703634nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820014003051000018003192450096003372600140004333000060005734900043006335040064006765050430007405060072011705201192012425300037024345380036024715380047025075880048025546500036026026530022026386530021026606530024026816530033027056530010027386530026027486530020027746530021027946530023028156530011028387100052028497760065029018300044029668560082030109781611970944SIAM20110503174022.0m eo d cr bn |||m|||a110503s1995 paua ob 001 0 eng d z 95032249 a9781611970944 (electronic bk.) z0898713528 (pbk.) z9780898713527 (pbk.)50aFR16bSIAM a(CaBNVSL)gtp00547414 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297.8b.K45 1995eb04a519.42201 aKelley, C. T.10aIterative methods for linear and nonlinear equationsh[electronic resource] /cC.T. Kelley. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xiii, 165 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v16 aIncludes bibliographical references (p. 153-162) and index.0 aPreface -- How to get the software -- Part I. Linear equations. Chapter 1. Basic concepts and stationary iterative methods; Chapter 2. Conjugate gradient iteration; Chapter 3. GMRES iteration -- Part II. Nonlinear equations. Chapter 4. Basic concepts and fixed point iteration; Chapter 5. Newton's method; Chapter 6. Inexact Newton methods; Chapter 7. Broyden's method; Chapter 8. Global convergence -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aLinear and nonlinear systems of equations are the basis for many, if not most, of the models of phenomena in science and engineering, and their efficient numerical solution is critical to progress in these areas. This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, such as Newton-Krylov methods, considerable material on linear equations has been incorporated. This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods, incorporation of inexactness and noise into the analysis, new proofs and implementations of Broyden's method, and globalization of inexact Newton methods. Examples, methods, and algorithmic choices are based on applications to infinite dimensional problems such as partial differential equations and integral equations. The analysis and proof techniques are constructed with the infinite dimensional setting in mind and the computational examples and exercises are based on the MATLAB environment. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aIterative methods (Mathematics) aIterative methods aLinear equations aNonlinear equations aConjugate gradient iteration aGMRES aFixed-point iteration aNewton's method aBroydon's method aGlobal convergence aMATLAB2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713528z9780898713527w(DLC) 95032249 0aFrontiers in applied mathematics ;v16.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1604711nam 2200565 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820022003051000020003272450093003472600140004403000059005804900043006395040054006825051175007365060072019115201389019835300037033725380036034095380047034455880048034926500048035406500045035886500023036336530028036566530023036846530026037076530026037336530024037596530035037836530025038186530013038436530015038567000031038717100052039027760065039548300044040198560082040639781611970951SIAM20110503174040.0m eo d cr bn |||m|||a110503s1993 paua ob 000 0 eng d z 93033771 a9781611970951 (electronic bk.) z0898713226 (pbk.) z9780898713220 (pbk.)50aFR14bSIAM a(CaBNVSL)gtp00547413 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.M67 1993eb04a519.3/0285/532201 aMore, Jorge J.10aOptimization software guideh[electronic resource] /cJorge J. More, Stephen J. Wright. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1993. a1 electronic text (xii, 154 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v14 aIncludes bibliographical references (p. 153-154).0 aPreface -- Part I. Overview of Algorithms. Chapter 1.Optimization problems and software; Chapter 2.Unconstrained optimization; Chapter 3. Nonlinear least squares; Chapter 4. Nonlinear equations; Chapter 5. Linear programming; Chapter 6. Quadratic programming; Chapter 7. Bound-constrained optimization; Chapter 8. Constrained optimization; Chapter 9. Network optimization; Chapter 10. Integer programming; Chapter 11. Miscellaneous optimization problems -- Part II. Software packages. AMPL; BQPD; BT; BTN; CNM; CONOPT; CONSOL-OPTCAD; CPLEX; C-WHIZ; DFNLP; DOC; DOT; FortLP; FSQP; GAMS; GAUSS; GENESIS; GENOS; GINO; GRG2; HOMPACK; IMSL Fortran and C Library; LAMPS; LANCELOT; LBFGS; LINDO; LINGO; LNOS; LPsolver; LSGRG2; LSNNO; LSSOL; M1QN2 and M1QN3; MATLAB; MINOS; MINPACK-1; MIPIII; MODULOPT; NAG C library; NAG Fortran Library; NETFLOW; NETSOLVE; NITSOL; NLPE; NLPQL; NLPQLB; NLSFIT; NLSSOL; NLPSPR; NPSOL; OB1; ODRPACK; OPSYC; OptiA; OPTIMA Library; OPTPACK; OSL; PC- PROG; PITCON; PORT 3; PROC NLP; Q01SUBS; QAPP; QPOPT; SPEAKEASY; SQP; TENMIN; TENSOLVE; TN/TNBC; TNPACK; UNCMIN; VE08; VE10; VIG and VIMDA; What's best! -- Appendix. Internet software -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aDevelopments in optimization theory, including emphasis on large problems and on interior-point methods for linear programming, have begun to appear in production software. Here is a reference tool that includes discussions of these areas and names software packages that incorporate the results of theoretical research. After an introduction to the major problem areas in optimization and an outline of the algorithms used to solve them, a data sheet is presented for each of the 75 software packages and libraries in the authors' survey. These include information on the capabilities of the packages, how to obtain them, and addresses for further information. Standard optimization paradigms are addressed -- linear, quadratic, and nonlinear programming; network optimization; unconstrained and bound-constrained optimization; least-squares problems; nonlinear equations; and integer programming. The most practical algorithms for the major fields of numerical optimization are outlined, and the software packages in which they are implemented are described. This format will aid current and potential users of optimization software in classifying the optimization problem to be solved, determining appropriate algorithms, and obtaining the software that implements those algorithms. Readers need only a basic knowledge of vector calculus and linear algebra to understand this book. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematical optimizationxData processing. 0aNumerical calculationsxData processing. 0aComputer software. aNonlinear least squares aLinear programming aNonlinear programming aQuadratic programming aInteger programming aBound-constrained optimization aNetwork optimization aSoftware aAlgorithms1 aWright, Stephen J.,d1960-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713226z9780898713220w(DLC) 93033771 0aFrontiers in applied mathematics ;v14.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1403971nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000019003202450118003392600140004573000059005974900048006565040064007045050908007685060072016765201073017485300037028215380036028585380047028945880048029416500058029896500043030476530041030906530035031316530034031666530046032007100052032467760065032988300044033638560082034079781611970968SIAM20110503174028.0m eo d cr bn |||m|||a110503s1993 paua ob 001 0 eng d z 93028379 a9781611970968 (electronic bk.) z089871320X (pbk.) z9780898713206 (pbk.)50aFR13bSIAM a(CaBNVSL)gtp00547412 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.R87 1993eb04a515/.3532201 aRude, Ulrich.10aMathematical and computational techniques for multilevel adaptive methodsh[electronic resource] /cUlrich Rude. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1993. a1 electronic text (xii, 140 p.) :bill., digital file.1 aFrontiers in applied mathematics ;vvol. 13 aIncludes bibliographical references (p. 129-134) and index.0 aChapter 1. Introduction. 1.1. Purpose and motivation; 1.2. Notation; 1.3. Basics and model problems -- Chapter 2. Multilevel splittings. 2.1. Abstract stable splittings; 2.2. Finite element spaces; 2.3. Stable bases; 2.4. Induced splittings; 2.5. Multilevel iterations; 2.6. Multilevel error estimators -- Chapter 3. The fully adaptive multigrid method. 3.1. Adaptive relaxation; 3.2. Algebraic structure; 3.3. Application of the theory of multilevel splittings; 3.4. Multilevel adaptive iteration; 3.5. Analysis of the V-cycle; 3.6. Hierarchical transformations; 3.7. Virtual global grids; 3.8. Robustness; 3.9. Parallelization; 3.10. Numerical examples; 3.11. Perspectives; 3.12. Historical remark -- Chapter 4. Data structures. 4.1. Introduction; 4.2. Finite element meshes; 4.3. Special cases; 4.4. Adaptive techniques; 4.5. Hierarchical meshes; 4.6. Implementation using C++ -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aMultilevel adaptive methods play an increasingly important role in the solution of many scientific and engineering problems. Fast adaptive methods techniques are widely used by specialists to execute and analyze simulation and optimization problems. This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures. Rude introduces a well-founded mathematical theory that leads to intelligent, adaptive algorithms, and suggests advanced software techniques. This new kind of multigrid theory supports the so-called "BPX" and "multilevel Schwarz" methods, and leads to the discovery of faster more robust algorithms. These techniques are deeply rooted in the theory of function spaces. Mathematical and Computational Techniques for Multilevel Adaptive Methods examines this development together with its implications for relevant algorithms for adaptive PDE methods. The author shows how abstract data types and object-oriented programming can be used for improved implementation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations, PartialxNumerical solutions. 0aMultigrid methods (Numerical analysis) aMultilevel adaptive technique (MLAT) aPartial differential equations aVirtual global grid technique aFast adaptive composite grid method (FAC)2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871320Xz9780898713206w(DLC) 93028379 0aFrontiers in applied mathematics ;v13.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1303695nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820020003032450112003232600140004353000056005754900043006315000193006745040051008675050549009185060072014675200932015395300037024715380036025085380047025445880048025916500042026396500027026816530027027086530022027356530022027576530017027796530015027967000021028117100052028327110102028847760065029868300044030518560082030959781611970975SIAM20110503174046.0m eo d cr bn |||m|||a110503s1993 paua ob 101 0 eng d z 93003092 a9781611970975 (electronic bk.) z0898713102 (pbk.) z9780898713107 (pbk.)50aFR12bSIAM a(CaBNVSL)gtp00547411 aCaBNVSLcCaBNVSLdCaBNVSL 4aTL571b.T68 1993eb04a629.132/30422000aTransonic aerodynamicsh[electronic resource] :bproblems in asymptotic theory /cedited by L. Pamela Cook. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1993. a1 electronic text (x, 90 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v12 a"Originated from a minisymposium organized by the editor at the second ICIAM meeting (International Conference on Industrial and Applied Mathematics) in Washington, D.C., July 1991"--Pref. aIncludes bibliographical references and index.0 aChapter 1. Introduction and background: an overview / L. Pamela Cook and Gilberto Schleiniger -- Chapter 2. Subsonic and transonic flows about a thin airfoil with a parabolic nose / Z. Rusak -- Chapter 3. An asymptotic approach to separation and stability problems of a transonic boundary layer / Oleg S. Ryzhov -- Chapter 4. Choked wind-tunnel flow: asymptotics and numerics / L. Pamela Cook and Gilberto Schleiniger -- Chapter 5. Some applications of combined asymptotic and numerics in fluid mechanics and aerodynamics / N. Malmuth -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis volume offers exciting results, perspectives, and case studies for the treatment of problems arising in transonic aerodynamics. New advances including triple deck theory, analysis of stagnation at the nose of a body, transonic choked flow, and the transonic area rule are presented. Interest in analyzing the transonic range of flight, its stability properties, and especially the question of designing reduced drag (shockless or weak shock) airfoils keeps growing. Present day commercial aircraft cruise in the transonic range. Mechanical and aeronautical engineers interested in compressible fluid flows, design of optimal wings, and an understanding of transonic flow held about wings and airfoils will find the book invaluable. This book is understandable to those with a knowledge of continuum mechanics (fluids) and asymptotic methods. It is appropriate for graduate courses in aerodynamics and mathematical methods. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aAerodynamics, TransonicxMathematics. 0aAsymptotic expansions. aTransonic aerodynamics aAsymptotic theory aWind-tunnel flows aConservation aDispersion1 aCook, L. Pamela.2 aSociety for Industrial and Applied Mathematics.2 aInternational Conference on Industrial and Applied Mathematicsn(2nd :d1991 :cWashington, D.C.)08iPrint version:z0898713102z9780898713107w(DLC) 93003092 0aFrontiers in applied mathematics ;v12.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1204119nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820018003062450108003242600140004323000059005724900048006315040051006795050590007305060072013205201555013925300037029475380036029845380047030205880048030676500020031156500023031356500035031586530012031936530015032056530034032206530030032546530040032846530012033247000022033367100052033587760065034108300044034758560082035199781611970982SIAM20110503174017.0m eo d cr bn |||m|||a110503s1992 paua ob 001 0 eng d z 92027712 a9781611970982 (electronic bk.) z0898712971 (pbk.) z9780898712971 (pbk.)50aFR11bSIAM a(CaBNVSL)gtp00547410 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.C624 1992eb04a629.8/31222000aControl and estimation in distributed parameter systemsh[electronic resource] /cedited by H.T. Banks. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (xii, 227 p.) :bill., digital file.1 aFrontiers in applied mathematics ;vvol. 11 aIncludes bibliographical references and index.0 aChapter 1. Pointwise control for distributed systems / J.L. Lions -- Chapter 2. On issues related to stabilization of large flexible structures / M.C. Delfour and M.P. Polis -- Chapter 3. A comparison of three approximation schemes for optimal control of a flexible structure / J.S. Gibson and A. Adamian -- Chapter 4. On mathematical models for the elastic beam with frequency-proportional damping / David L. Russell -- Chapter 5. A synthesis of time and frequency domain methods for the control of infinite-dimensional systems: a system theoretic approach / Ruth F. Curtain -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aResearch in control and estimation of distributed parameter systems encompasses a wide range of applications including both fundamental science and emerging technologies. The latter include smart materials (piezoceramics, shape memory alloys, magnetostrictives, electrorheological fluids) fabrication and testing, design of high-pressure chemical vapor deposition (CVD) reactors for production of microelectronic surfaces (e.g., semiconductors), while the former include groundwater contamination cleanup and other environmental modeling questions, climatology, flow control, and fluid-structure interactions as well as more traditional topics in biology, mechanics, and acoustics. These expository papers provide substantial stimulus to both young researchers and experienced investigators in control theory. Includes a comprehensive and lucid presentation that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems including design of robust stabilizing and finite-dimensional controllers for infinite-dimensional systems. It focuses on these two approaches to control design in an integrated system theoretic framework. This is excellent reading for researchers in both the frequency domain and time domain control communities. In other articles, topics considered include pointwise control of distributed parameter systems, bounded and unbounded sensors and actuators, stabilization issues for large flexible structures, and an overview discussion of damping models for flexible structures. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aControl theory. 0aEstimation theory. 0aDistributed parameter systems. aControl aEstimation aDistributed parameter systems aHilbert uniqueness method aRitz-Galerkin approximation schemes aDamping1 aBanks, H. Thomas.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712971z9780898712971w(DLC) 92027712 0aFrontiers in applied mathematics ;v11.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1103511nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003051000023003222450104003452600140004493000060005894900048006495000054006975040064007515050854008155060072016695200763017415300037025045380036025415380047025775880048026246500029026726530033027016530037027346530027027717100052027987760065028508300044029158560082029599781611970999SIAM20110503174015.0m eo d cr bn |||m|||a110502s1992 paua ob 001 0 eng d z 92004450 a9781611970999 (electronic bk.) z0898712858 (pbk.) z9780898712858 (pbk.)50aFR10bSIAM a(CaBNVSL)gtp00547409 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA403.5b.V35 1992eb04a515/.7232201 aVan Loan, Charles.10aComputational frameworks for the fast fourier transformh[electronic resource] /cCharles van Loan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (xiii, 273 p.) :bill., digital file.1 aFrontiers in applied mathematics ;vvol. 10 a"Society for Industrial and Applied Mathematics." aIncludes bibliographical references (p. 259-267) and index.0 aChapter 1. The radix-2 frameworks. Matrix notation and algorithms; The FFT idea; The Cooley-Tukey factorization; Weight and butterfly computations; Bit reversal and transposition; The Cooley-Tukey framework; The Stockham autosort frameworks; The Pease framework; Decimation in frequency and inverse FFTs -- Chapter 2. General radix frameworks. The general radix ideas; Index reversal and transposition; Mixed-radix factorizations; Radix-4 and radix-8 frameworks; The split-radix frameworks -- Chapter 3. High performance frameworks. The multiple DFT problem; Matrix transposition; The large single-vector FFT problem; Multi-dimensional FFT problem; Distributed memory FFTs; Shared memory FFTs -- Chapter 4. Selected topics. Prime factor FFTs; Convolution; FFTs of real data; Cosine and sine transforms; Fast Poisson solvers -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe most comprehensive treatment of FFTs to date. Van Loan captures the interplay between mathematics and the design of effective numerical algorithms--a critical connection as more advanced machines become available. A stylized Matlab notation, which is familiar to those engaged in high-performance computing, is used. The Fast Fourier Transform (FFT) family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications in almost every discipline. This volume is essential for professionals interested in linear algebra as well as those working with numerical methods. The FFT is also a great vehicle for teaching key aspects of scientific computing. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aFourier transformations. aFast Fourier transform (FFT) aDiscrete Fourier transform (DFT) aCooley-Tukey algorithm2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712858z9780898712858w(DLC) 92004450 0aFrontiers in applied mathematics ;v10.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr1003268nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000024003192450136003432600140004793000060006194900047006795040064007265050677007905060072014675200696015395300037022355380036022725380047023085880048023556500019024036530024024226530023024466530025024696530015024947000035025097100052025447760065025968300043026618560082027049781611971002SIAM20110503174044.0m eo d cr bn |||m|||a110503s1991 paua ob 001 0 eng d z 91018739 a9781611971002 (electronic bk.) z0898712750 (pbk.) z9780898712759 (pbk.)50aFR09bSIAM a(CaBNVSL)gtp00547408 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA275b.H84 1991eb04a511/.422201 aHuffel, Sabine van.14aThe total least squares problemh[electronic resource] :bcomputational aspects and analysis /cSabine Van Huffel, Joos Vandewalle. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1991. a1 electronic text (xiii, 300 p.) :bill., digital file.1 aFrontiers in applied mathematics ;vvol. 9 aIncludes bibliographical references (p. 285-296) and index.0 aIntroduction -- Basic principles of the total least squares problem -- Extensions of the basic total least squares problem -- Direct speed improvement of the total least squares computations -- Iterative speed improvement for solving slowly varying total least squares problems -- Algebraic connections between total least squares and least squares problems -- Sensitivity analysis of total least squares and least squares problems in the presence of errors in all data -- Statistical properties of the total least squares problem -- Algebraic connections between total least squares estimation and classical linear Regression in multicollinearity problems -- Conclusions.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aLeast squares. aTotal least squares aNumerical analysis aSensitivity analysis aRegression1 aVandewalle, J.q(Joos),d1948-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712750z9780898712759w(DLC) 91018739 0aFrontiers in applied mathematics ;v9.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0903253nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820017003042450109003212600140004303000059005704900047006295000208006765040064008845050702009485060072016505200456017225300037021785380036022155380047022515880048022986500051023466530020023976530022024176530011024396530026024506530018024767000023024947100052025177760065025698300043026348560082026779781611971019SIAM20110503174030.0m eo d cr bn |||m|||a110503s1991 paua ob 101 0 eng d z 91014973 a9781611971019 (electronic bk.) z089871267X (pbk.) z9780898712674 (pbk.)50aFR08bSIAM a(CaBNVSL)gtp00547407 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.M284 1991eb04a515/.35322000aMathematical aspects of numerical grid generationh[electronic resource] /cedited by Jose E. Castillo. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1991. a1 electronic text (xiv, 157 p.) :bill., digital file.1 aFrontiers in applied mathematics ;vvol. 8 a"Based on the papers presented at the two minisymposia, "Numerical grid generation : mathematical aspects, parts I and II," held at the SIAM Annual Meeting in Minneapolis, Minnesota, in July 1988"--Pref. aIncludes bibliographical references (p. 147-151) and index.0 aPreface -- Chapter 1. Introduction / J.E. Castillo and S. Steinberg -- Chapter 2. Elliptic grid generation and conformal mapping / C.W. Mastin -- Chapter 3. Continuum variational formulation / J.E. Castillo -- Chapter 4. Discrete variational grid generation / J.E. Castillo -- Chapter 5. Bifurcation of grids on curves / S. Steinberg and P.J. Roache -- Chapter 6. Intrinsic algebraic grid generation / P.M. Knupp -- Chapter 7. Surface grid generation and differential geometry / Z.U.A. Warsi -- Chapter 8. Harmonic maps in grid generation / A. Dvinsky -- Chapter 9. On harmonic maps / G. Liao -- Chapter 10. Mathematical aspects of harmonic grid generation / S.S. Sritharan -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aNumerical grid generation plays a critical role in any scientific computing problem when the geometry of the underlying region is complex or when the solution has a complex structure. The mathematical aspects of grid generation are discussed to provide a deeper understanding of the algorithms and their imitations. Variational methods are emphasized because they are more robust, but elliptic and transcendental algebraic methods are also considered. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNumerical grid generation (Numerical analysis) aGrid generation aConformal mapping aCurves aDifferential geometry aHarmonic maps1 aCastillo, Jose E.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871267Xz9780898712674w(DLC) 91014973 0aFrontiers in applied mathematics ;v8.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0803611nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000048003202450115003682600140004833000058006234900042006815040064007235050288007875060072010755201281011475300037024285380036024655380047025015880048025486500058025966500043026546530033026976530021027306530032027516530022027836530035028056530023028407100052028637760065029158300043029808560082030239781611971026SIAM20110503174038.0m eo d cr bn |||m|||a110503s1989 paua ob 001 0 eng d z 89022034 a9781611971026 (electronic bk.) z0898712475 (pbk.) z9780898712476 (pbk.)50aFR06bSIAM a(CaBNVSL)gtp00547406 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.M32 1989eb04a515/.3532201 aMcCormick, S. F.q(Stephen Fahrney),d1944-10aMultilevel adaptive methods for partial differential equationsh[electronic resource] /cStephen F. McCormick. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (ix, 162 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v6 aIncludes bibliographical references (p. 155-160) and index.0 aChapter 1. Introduction -- Chapter 2. The Finite Volume Element method (FVE) -- Chapter 3. Multigrid methods (MG) -- Chapter 4. The Fast Adaptive Composite grid method (FAC) -- Chapter 5. The Asynchronous Fast Adaptive Composite grid method (AFAC) -- Appendix -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aA practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques. It also contains new material, which is included to fill in certain gaps and to expose new avenues of research. Also, because adaptive refinement seems to demand a lot of attention to philosophical issues, personal perspectives are often brought freely into the discussion. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations, PartialxNumerical solutions. 0aMultigrid methods (Numerical analysis) aFinite volume element method aAdaptive methods aMultilevel adaptive methods aMultigrid methods aPartial differential equations aGalerkin operators2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712475z9780898712476w(DLC) 89022034 0aFrontiers in applied mathematics ;v6.403SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0603751nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820020003032450118003232600140004413000057005814900047006385000264006855040041009495050411009905060072014015200977014735300037024505380036024875380047025235880048025706500058026186500064026766530021027406530025027616530026027866530030028126530018028426530027028606530025028877000029029127100052029417100026029937760065030198300043030848560082031279781611971033SIAM20110503174042.0m eo d cr bn |||m|||a110502s1989 paua ob 100 0 eng d z 89019701 a9781611971033 (electronic bk.) z0898712394 (pbk.) z9780898712391 (pbk.)50aFR05bSIAM a(CaBNVSL)gtp00547405 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA331b.S95 1989eb04a620/.001/5122000aSymbolic computationh[electronic resource] :bapplications to scientific computing /cedited by Robert Grossman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (x, 185 p.) :bill., digital file.1 aFrontiers in applied mathematics ;vvol. 5 aThe outgrowth of talks at the NASA-Ames Workshop on the Use of Symbolic Methods to Solve Algebraic and Geometric Problems Arising in Engineering, which took place on January 15 and 16, 1987, at the NASA-Ames Research Center in Moffet Field, California"--Pref. aIncludes bibliographical references.0 aComputer algebra and operators -- The dynamicist's workbench: I, Automatic preparation of numerical experiments -- Symbolic computations in differential geometry applied to nonlinear control systems -- Vector fields and nilpotent Lie algebras -- FIDIL: a language for scientific programming -- Perturbation methods and computer algebra -- Multibody simulation in an object oriented programming environment.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis is a monograph that describes current research efforts in the application of symbolic computation to several areas, including dynamical systems, differential geometry, Lie algebras, numerical analysis, fluid dynamics, perturbation theory, control theory, and mechanics. The chapters, which illustrate how symbolic computations can be used to study various mathematical structures, are outgrowths of the invited talks that were presented at the NASA-Ames Workshop on The Use of Symbolic Methods to Solve Algebraic and Geometric Problems Arising in Engineering. More than 100 people participated in the two-day conference, which took place in January 1987 at the NASA-Ames Research Center in Moffett Field, California. The field of symbolic computation is becoming increasingly important in science, engineering, and mathematics. The availability of powerful computer algebra systems on workstations has made symbolic computation an important tool for many researchers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aEngineering mathematicsxData processingvCongresses. 0aObject-oriented programming (Computer science)vCongresses. aComputer algebra aSymbolic computation aDifferential geometry aNonlinear control systems aVector fields aNilpotent Lie algebras aPerturbation methods1 aGrossman, Robert,d1957-2 aSociety for Industrial and Applied Mathematics.2 aAmes Research Center.08iPrint version:z0898712394z9780898712391w(DLC) 89019701 0aFrontiers in applied mathematics ;v5.483SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0502325nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820024003031000051003272450100003782600140004783000053006184900042006715040060007135050105007735060072008785200236009505300037011865380036012235380047012595880048013066500031013546530025013856530022014106530019014326530015014516530009014666530023014756530019014986530011015177000025015287100052015537760065016058300043016708560082017139781611971040SIAM20110503174019.0m eo d cr bn |||m|||a110503s1988 pau ob 001 0 eng d z 88061637 a9781611971040 (electronic bk.) z0898712270 (pbk.) z9780898712278 (pbk.)50aFR04bSIAM a(CaBNVSL)gtp00547404 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.C65 1988eb04a512.9/434/028542201 aColeman, Thomas F.q(Thomas Frederick),d1950-10aHandbook for matrix computationsh[electronic resource] /cThomas F. Coleman, Charles Van Loan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1988. a1 electronic text (vii, 264 p.) :bdigital file.1 aFrontiers in applied mathematics ;v4 aIncludes bibliographical references (p. 261) and index.0 aChapter 1. A subset of Fortran 77 -- Chapter 2. The BLAS -- Chapter 3. LINPACK -- Chapter 4. MATLAB.1 aRestricted to subscribers or individual electronic text purchasers.3 aProvides the user with a step-by-step introduction to Fortran 77, BLAS, LINPACK, and MATLAB. It is a reference that spans several levels of practical matrix computations with a strong emphasis on examples and "hands on" experience. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMatricesxData processing. aScientific computing aNumerical methods aLinear algebra aFortran 77 aBLAS aMatrix computation aMatrix algebra aMATLAB1 aVan Loan, Charles F.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712270z9780898712278w(DLC) 88061637 0aFrontiers in applied mathematics ;v4.483SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0403070nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820014003032450078003172600140003953000060005354900042005955040064006375050244007015060072009455200959010175300037019765380036020135380047020495880048020966500043021446530014021876530027022016530020022286530024022486530026022727000048022987100052023467760065023988300043024638560082025069781611971057SIAM20110503174036.0m eo d cr bn |||m|||a110502s1987 paua ob 001 0 eng d z 87060444 a9781611971057 (electronic bk.) z0898712149 (pbk.) z9780898712148 (pbk.)50aFR03bSIAM a(CaBNVSL)gtp00547403 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297b.M84 1987eb04a519.421900aMultigrid methodsh[electronic resource] /cStephen F. McCormick, editor. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1987. a1 electronic text (xvii, 282 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v3 aIncludes bibliographical references (p. 189-230) and index.0 aIntroduction -- Linear multigrid methods -- Multigrid approaches to the Euler equations -- Algebraic multigrid -- Variational multigrid theory -- Appendix 1. MV program listing -- Appendix 2. Multigrid bibliography -- KWIC reference guide.1 aRestricted to subscribers or individual electronic text purchasers. aA thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMultigrid methods (Numerical analysis) aMultigrid aBoundary value problem aEuler equations aAlgebraic multigrid aVariational multigrid1 aMcCormick, S. F.q(Stephen Fahrney),d1944-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712149z9780898712148w(DLC) 87060444 0aFrontiers in applied mathematics ;v3.483SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0302317nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820016003042450065003202600140003853000059005254900042005845040051006265050186006775060072008635200240009355300037011755380036012125380047012485880048012956500027013436500029013706530013013996530023014126530016014356530025014516530015014766530015014916530023015067000028015297100052015577760065016098300043016748560082017179781611971064SIAM20110503174032.0m eo d cr bn |||m|||a110503s1985 paua ob 001 0 eng d z 85050339 a9781611971064 (electronic bk.) z0898710537 (pbk.) z9780898710533 (pbk.)50aFR02bSIAM a(CaBNVSL)gtp00547402 aCaBNVSLcCaBNVSLdCaBNVSL 4aQD516b.M423 1985eb04a541.36122104aThe mathematics of combustion /cJohn D. Buckmaster, editor. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1985. a1 electronic text (xii, 254 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v2 aIncludes bibliographical references and index.0 aAn introduction to combustion theory -- Sensitivity analysis of combustion systems -- Turbulent combustion -- Detonation in miniature -- Finite amplitude waves in combustible gases.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book delves into the rapidly changing area of combustion, in which asymptotic methods and bifurcation theory have made a significant impact as have the constant-density, small-heat-release models and other important contributions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCombustion, Theory of. 0aCombustionxMathematics. aKinetics aHydrodynamic model aAsymptotics aSensitivity analysis aTurbulence aCombustion aCompressible flows1 aBuckmaster, John David.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710537z9780898710533w(DLC) 85050339 0aFrontiers in applied mathematics ;v2.483SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0202953nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820021003052450096003262600140004223000059005624900042006215040041006635050410007045060072011145200504011865300037016905380036017275380047017635880048018106500052018586500041019106500035019516530024019866530026020106530029020366530017020656530019020826530023021016530035021247000022021597100052021817760065022338300043022988560082023419781611971071SIAM20110503174034.0m eo d cr bn |||m|||a110503s1983 paua ob 000 0 eng d z 83051501 a9781611971071 (electronic bk.) z0898711924 (pbk.) z9780898711927 (pbk.)50aFR01bSIAM a(CaBNVSL)gtp00547401 aCaBNVSLcCaBNVSLdCaBNVSL 4aTN871b.M3844 1983eb04a627/.86/072421904aThe mathematics of reservoir simulationh[electronic resource] /cRichard E. Ewing, editor. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1983. a1 electronic text (xii, 186 p.) :bill., digital file.1 aFrontiers in applied mathematics ;v1 aIncludes bibliographical references.0 aProblems arising in the modeling of processes for hydrocarbon recovery -- Finite element and finite difference methods for continuous flows in porous media -- A front tracking reservoir simulator -- Five-spot validation studies and the water coning problem -- Statistical fluid dynamics: the influence of geometry on surface instabilities -- Some numerical methods for discontinuous flows in porous media.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe emergence of complex enhanced recovery procedures in the field of hydrocarbon extraction techniques has emphasized the need for sophisticated mathematical tools, capable of modeling intricate chemical and physical phenomena and sharply changing fluid interfaces. This volume explains which problems need to be addressed, why they are difficult, what has been done previously to treat these difficulties, and which new techniques appear to possess potential for obtaining good simulation results. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aOil reservoir engineeringxMathematical models. 0aFluid dynamicsxMathematical models. 0aPorosityxMathematical models. aDiscontinuous flows aFinite element method aFinite difference method aPorous media aFluid dynamics aNumerical modeling aPartial differential equations1 aEwing, Richard E.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711924z9780898711927w(DLC) 83051501 0aFrontiers in applied mathematics ;v1.483SIAMuhttp://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr0104446nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820018003032450117003212600140004383000059005785040064006375051222007015060072019235201187019955300037031825380036032195380047032555880048033026500031033506500016033816530027033976530021034246530032034456530024034776530030035016530022035316530026035536530022035796530018036016530020036196530012036397000021036517000018036727100052036907760065037428560085038079781611971354SIAM20110503174114.0m eo d cr bn |||m|||a990322s1999 paua ob 001 0 eng d z 99026368 a9781611971354 (electronic bk.) z0898714311 (pbk.) z9780898714319 (pbk.)50aOT67bSIAM a(CaBNVSL)gtp00547400 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.F38 1999eb04a512.9/43422100aFast reliable algorithms for matrices with structureh[electronic resource] /cedited by T. Kailath, A.H. Sayed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xvi, 342 p.) :bill., digital file. aIncludes bibliographical references (p. 321-338) and index.0 aContributors -- Preface -- Notation -- Chapter 1. Displacement structure and array algorithms / Thomas Kailath -- Chapter 2. Stabilized Schur algorithms / Shivkumar Chandrasekaran and Ali H. Sayed -- Chapter 3. Fast stable solvers for structured linear systems / Ali H. Sayed and Shivkumar Chandrasekaran -- Chapter 4. Stability of fast algorithms for structured linear systems / Richard P. Brent -- Chapter 5. Iterative methods for linear systems with matrix structure / Raymond H. Chan and Michael K. Ng -- Chapter 6. Asymptotic spectral distribution of Toeplitz-related matrices / Paolo Tilli -- Chapter 7. Newton's iteration for structured matrices / Victor Y. Pan, Sheryl Branham, Rhys E. Rosholt, and Ai-Long Zheng -- Chapter 8. Fast algorithms with applications to Markov chains and queueing models / Dario A. Bini and Beatrice Meini -- Chapter 9. Tensor displacement structures and polyspectral matching / Victor S. Grigorascu and Phillip A. Regalia -- Chapter 10. Minimal complexity realization of structured matrices / Patrick Dewilde -- Appendix A. Useful matrix results / Thomas Kailath and Ali H. Sayed -- Appendix B. Elementary transformations / Thomas Kailath and Ali H. Sayed -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book is the first to pay special attention to the combined issues of speed and numerical reliability in algorithm development. These two requirements have often been regarded as competitive, so much so that the design of fast and numerically reliable algorithms for large-scale structured systems of linear equations, in many cases, remains a significant open issue. Fast Reliable Algorithms for Matrices with Structure helps bridge this gap by providing the reader with recent contributions written by leading experts in the field. The authors deal with both the theory and the practice of fast numerical algorithms for large-scale structured linear systems. Each chapter covers in detail different aspects of the most recent trends in the theory of fast algorithms, with emphasis on implementation and application issues. Both direct and iterative methods are covered. This book is not merely a collection of articles. The editors have gone to considerable lengths to blend the individual papers into a consistent presentation. Each chapter exposes the reader to some of the most recent research while providing enough background material to put the work into proper context. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMatricesxData processing. 0aAlgorithms. aDisplacement structure aArray algorithms aStabilized Schur algorithms aFast stable solvers aStructured linear systems aIterative methods aSpectral distribution aToeplitz matrices aMarkov chains aQueueing models aTensors1 aKailath, Thomas.1 aSayed, Ali H.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714311z9780898714319w(DLC) 99026368 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot6704863nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820018003061000031003242450146003552600140005013000059006415000057007005040051007575051329008085060072021375201689022095300037038985380036039355380047039715880048040186500033040666530023040996530021041226530039041437000021041827100052042037760065042558560085043209781611971361SIAM20110503174058.0m eo d cr bn |||m|||a110503s1998 paua ob 001 0 eng d z 98086612 a9781611971361 (electronic bk.) z0898714192 (pbk.) z9780898714197 (pbk.)50aOT65bSIAM a(CaBNVSL)gtp00547399 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.H375 1998eb04a629.8/3122211 aHelton, J. William,d1944-10aClassical control using H [infinity] methodsh[electronic resource] :btheory, optimization, and design /cJ. William Helton, Orlando Merino. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xvi, 292 p.) :bill., digital file. aOn t.p. "[infinity]" appears as the infinity symbol. aIncludes bibliographical references and index.0 aPreface -- Part I. Short design course. Chapter 1. A method for solving system design problems; Chapter 2. Internal stability; Chapter 3. Frequency domain performance requirements; Chapter 4. Optimization; Chapter 5. A design example with OPTDesign -- Part II. More on design. Chapter 6. Examples; Chapter 7. Internal stability -- Part III. H^infty theory. Chapter 8. H^infty optimization and control; Chapter 10. Facts about analytic functions; Chapter 11. Proof of the main result; Chapter 12. Computer solutions to OPT -- Part IV. H^infty theory. vector case. Chapter 13. Many analytic functions; Chapter 14. Coordinate descent approaches to OPT; Chapter 15. More numerical algorithms; Chapter 16. More theory of the vector OPT problem -- Part V. Semidefinite programming vs. H^infty optimization. Chapter 17. Matrix H^infty optimization; Chapter 18. Numerical algorithms for H^infty optimization; Chapter 19. Semidefinite programming vs. Matrix H^infty optimization; Chapter 20. Proofs -- Part VI. Appendices. Appendix A. History and perspective; Appendix B. Pure mathematics and H^infty optimization; Appendix C. Uncertainty; Appendix D. Computer code for examples in Chapter 6; Appendix E. Getting OPTDesign and Anopt; Appendix F. Anopt notebook; Appendix G. NewtonInterpolant notebook; Appendix H. NewtonFit notebook.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis versatile book teaches control system design using H^infty techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. The development of H^infty engineering was one of the main accomplishments of control in the 1980s. However, until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using H^infty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections. The authors treat control design problems in a physically correct way. They present a small set of specific rules that the reader can apply to convert a particular design problem to the fundamental optimization problem of H^infty control. This precisely formulated mathematics problem can then be solved on a computer. The book introduces the control software package OPTDesign, which allows the reader to easily reproduce the calculations done in the solved examples and even try variations on them. The description of how to convert an engineering problem to a form suitable for CAD is simpler than in other books. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aH [infinity symbol] control. aH-infinity methods aFrequency domain aSingle-input-single-output systems1 aMerino, Orlando.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714192z9780898714197w(DLC) 98086612 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot6503152nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820018003061000031003242450139003552600140004943000059006345000057006935040064007505050535008145060072013495200766014215300037021875380036022245380047022605880048023076500033023556530023023886530039024116530021024507000021024717100052024927760065025448560085026099781611971378SIAM20110503174056.0m eo d cr bn |||m|||a110503s1998 paua ob 001 0 eng d z 98086611 a9781611971378 (electronic bk.) z0898714249 (pbk.) z9780898714241 (pbk.)50aOT64bSIAM a(CaBNVSL)gtp00547398 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.H374 1998eb04a629.8/3122211 aHelton, J. William,d1944-10aClassical control using H [infinity] methodsh[electronic resource] :ban introduction to design /cJ. William Helton, Orlando Merino. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xii, 171 p.) :bill., digital file. aOn t.p. "[infinity]" appears as the infinity symbol. aIncludes bibliographical references (p. 159-168) and index.0 aPreface -- Part I. Short design course. Chapter 1. A method for solving system design problems; Chapter 2. Internal stability; Chapter 3. Frequency domain performance requirements; Chapter 4. Optimization; Chapter 5. A design example with OPTDesign -- Part II. More on design. Chapter 6. Examples; Chapter 7. Internal stability -- Part III. Appendices. Appendix A. History and perspective; Appendix B. Getting OPTDesign and Anopt; Appendix C. Anopt notebook; Appendix D. NewtonInterpolant notebook; Appendix E. NewtonFit notebook.1 aRestricted to subscribers or individual electronic text purchasers. aOne of the main accomplishments of control in the 1980s was the development of H-infinity techniques. This book teaches control system design using H-infinity methods. Students will find this book easy to use because it is conceptually simple. They will find it useful because of the widespread appeal of classical frequency domain methods. Classical control has always been presented as trial and error applied to specific cases; Helton and Merino provide a much more precise approach. This has the tremendous advantage of converting an engineering problem to one that can be put directly into a mathematical optimization package. After completing this course, students will be familiar with how engineering specs are coded as precise mathematical constraints. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aH [infinity symbol] control. aH-infinity methods aSingle-input-single-output systems aFrequency domain1 aMerino, Orlando.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714249z9780898714241w(DLC) 98086611 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot6403753nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820018003062450103003242600140004273000059005675040051006265050772006775060072014495201117015215300037026385380036026755380047027115880048027586500027028066530013028336530015028466530015028616530026028766530029029026530028029316530021029596530020029806530025030007000020030257100052030457760065030978560085031629781611971385SIAM20110503174155.0m eo d cr bn |||m|||a110503s1998 paua ob 001 0 eng d z 98003698 a9781611971385 (electronic bk.) z0898714168 (pbk.) z9780898714166 (pbk.)50aOT62bSIAM a(CaBNVSL)gtp00547397 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA403.3b.W362 1998eb04a515/.243322100aWavelets and their applicationsh[electronic resource] :bcase studies /cedited by Mei Kobayashi. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xvi, 142 p.) :bill., digital file. aIncludes bibliographical references and index.0 aPreface -- Chapter 1. Wavelet-based multiresolution display of coastline data / Sumiko Hiyama and Mei Kobayashi -- Chapter 2. A wavelet-based technique for reducing noise in laboratory data / Susumu Sakakibara -- Chapter 3. A wavelet-based conjugate gradient method for solving poisson equations / Nobuatsu Tanaka; Appendix 1. Conjugate gradient methods; Appendix 2. Preconditioned conjugate gradient methods; Appendix 3. Successive over-relaxation methods -- Chapter 4. Wavelet analysis for a text-to-speech (TTS) system / Mei Kobayashi ... [et al.]; Appendix 1. Selection of synthesis units; Appendix 2. Overlap-add methods -- Chapter 5. Wavelet analysis of atmospheric wind, turbulent fluid, and seismic acceleration data / Michio Yamada and Fumio Sasaki -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis collection of independent case studies demonstrates how wavelet techniques have been used to solve open problems and develop insight into the nature of the systems under study. Each case begins with a description of the problem and points to the specific properties of wavelets and techniques used for determining a solution. The cases range from a very simple wavelet-based technique for reducing noise in laboratory data to complex work on two-dimensional geographical data display conducted at the Earthquake Research Institute in Japan. One case study shows how wavelet analysis is used in the development of a Japanese text-to-speech system for personal computers and another presents new wavelet techniques developed for and applied to the study of atmospheric wind, turbulent fluid, and seismic acceleration data. Although calculus and some junior and senior mathematics courses for scientists and engineers will suffice, a solid background in undergraduate mathematics, particularly analysis and numerical analysis, and some familiarity with the basics of wavelets are helpful for reading this book. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aWavelets (Mathematics) aWavelets aNoisy data aFluid flow aText-to-speech system aNavier--Stokes equations aTime-frequency analysis aAtmospheric wind aTurbulent fluid aSeismic acceleration1 aKobayashi, Mei.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714168z9780898714166w(DLC) 98003698 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot6203762nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820022003031000036003252450153003612600140005143000060006545040064007145050670007785060072014485201112015205300037026325380036026695380047027055880048027526500045028006500055028456530036029006530027029366530025029636530028029886530037030167000025030537100052030787760065031308560085031959781611971392SIAM20110503174102.0m eo d cr bn |||m|||a110503s1998 paua ob 001 0 eng d z 98021535 a9781611971392 (electronic bk.) z0898714125 (pbk.) z9780898714128 (pbk.)50aOT61bSIAM a(CaBNVSL)gtp00547396 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372b.A78 1998eb04a515/.352/02852211 aAscher, U. M.q(Uri M.),d1946-10aComputer methods for ordinary differential equations and differential-algebraic equationsh[electronic resource] /cUri M. Ascher, Linda R. Petzold. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xvii, 314 p.) :bill., digital file. aIncludes bibliographical references (p. 299-305) and index.0 aList of figures -- List of tables -- Preface -- Part I. Introduction. Chapter 1. Ordinary differential equations -- Part II. Initial value problems. Chapter 2. On problem stability; Chapter 3. Basic methods, basic concepts; Chapter 4. One-step methods; Chapter 5. Linear multistep methods -- Part III. Boundary value problems. Chapter 6. More boundary value problem theory and applications; Chapter 7. Shooting; Chapter 8. Finite difference methods for boundary value problems -- Part IV. Differential-algebraic equations. Chapter 9. More on differential-algebraic equations; Chapter 10. Numerical methods for differential-algebraic equations Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aDesigned for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This book is a practical and mathematically well-informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equationsxData processing. 0aDifferential-algebraic equationsxData processing. aOrdinary differential equations aInitial value problems aRunge--Kutta methods aBoundary value problems aDifferential-algebraic equations1 aPetzold, Linda Ruth.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714125z9780898714128w(DLC) 98021535 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot6103782nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500028002800820018003081000033003262450094003592460026004532600140004793000059006195040051006785050275007295060072010045201568010765300037026445380036026815380047027175880048027646500014028126530022028266530021028486530021028696530025028906530025029156530037029406530037029776530018030146530030030327100052030627760065031148560085031799781611971408SIAM20110503174127.0m eo d cr bn |||m|||a110502s1998 paua ob 001 0 eng d z 98022445 a9781611971408 (electronic bk.) z0898714141 (pbk.) z9780898714142 (pbk.)50aOT60bSIAM a(CaBNVSL)gtp00547395 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.S714 1998eb v.104a512.9/4342211 aStewart, G. W.q(Gilbert W.)10aMatrix algorithms.nVol. 1,pBasic decompositionsh[electronic resource] /cG.W. Stewart.30aBasic decompositions. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xix, 458 p.) :bill., digital file. aIncludes bibliographical references and index.0 aAlgorithms -- Notation -- Preface -- Chapter 1. Matrices, algebra, and analysis -- Chapter 2. Matrices and machines -- Chapter 3. Gaussian elimination -- Chapter 4. The QR decomposition and least squares -- Chapter 5. Rank-reducing decompositions -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions--that is, the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the LU and QR decompositions--their computation and applications. The singular value decomposition is also treated, although algorithms for its computation will appear in the second volume of the series. The present volume contains 65 algorithms formally presented in pseudocode. Other volumes in the series will treat eigensystems, iterative methods, sparse matrices, and structured problems. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. To give the series focus, the emphasis is on algorithms, their derivation, and their analysis. The reader is assumed to have a knowledge of elementary analysis and linear algebra and a reasonable amount of programming experience, typically that of the beginning graduate engineer or the undergraduate in an honors program. Strictly speaking, the individual volumes are not textbooks, although they are intended to teach, the guiding principle being that if something is worth explaining, it is worth explaining fully. This has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMatrices. aMatrix algorithms aLU decomposition aQR decomposition aGaussian elimination aCondition estimation aRank-revealing URV decomposition aRank-revealing ULV decomposition aLeast squares aOrthogonal decompositions2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714141z9780898714142w(DLC) 98022445 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot6001799nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500028002800820018003082450088003262600140004143000058005545040041006125060072006535300037007255380036007625380047007985880048008456500031008936500020009246500029009446530020009736530017009936530028010106530029010386530019010677000053010867100052011397760065011918560085012569781611971415SIAM20110503174133.0m eo d cr bn |||m|||a110502s1998 paua ob 000 0 eng d z 98168215 a9781611971415 (electronic bk.) z0898714060 (pbk.) z9780898714067 (pbk.)50aOT59bSIAM a(CaBNVSL)gtp00547394 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA357.5.V56bO68 1998eb04a620.1/06422100aOptimal control of viscous flowh[electronic resource] /cedited by S.S. Sritharan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xi, 198 p.) :bill., digital file. aIncludes bibliographical references.1 aRestricted to subscribers or individual electronic text purchasers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aViscous flowxMathematics. 0aControl theory. 0aNavier-Stokes equations. aOptimal control aViscous flow aNavier-Stokes equations aDual dynamic programming aFluid dynamics1 aSritharan, S. S.q(Sivaguru Sornalingam),d1954-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714060z9780898714067w(DLC) 98168215 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5904282nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820014003041000033003182450260003512600140006113000059007515040064008105050016008745050429008905050114013195050321014335050343017545050146020975060072022435200903023155300037032185380036032555380047032915880048033386500024033866530027034106530029034376530018034666530021034846530017035056530028035227100052035507760065036028560085036679781611971422SIAM20110503174048.0m eo d cr bn |||m|||a110502s1998 paua ob 001 0 eng d z 97044449 a9781611971422 (electronic bk.) z0898714044 (pbk.) z9780898714043 (pbk.)50aOT58bSIAM a(CaBNVSL)gtp00547393 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297b.S784 1998eb04a519.42211 aStewart, G. W.q(Gilbert W.)10aAfternotes goes to graduate schoolh[electronic resource] :blectures on advanced numerical analysis : a series of lectures on advanced numerical analysis presented at the University of Maryland at College Park and recorded after the fact /cG.W. Stewart. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xii, 245 p.) :bill., digital file. aIncludes bibliographical references (p. 233-235) and index.0 aPreface -- 0 aPart 1. Approximation. Lecture 1. General observations -- Lecture 2. The space C[0,1] -- Lecture 3. Chebyshev approximation -- Lecture 4. A theorem of de la Vallee Poussin -- Lecture 5. Discrete, continuous, and weighted least squares -- Lecture 6. Existence and uniqueness of the QR factorization -- Lecture 7. Expansions in orthogonal functions -- Lecture 8. Householder transformations -- Lecture 9. Operation counts -- 0 aPart 2. Linear and Cubic Splines. Lecture 10. Piecewise linear interpolation -- Lecture 11. Cubic splines -- 0 aPart 3. Eigensystems. Lecture 12. A system of differential equations -- Lecture 13. Real Schur form -- Lecture 14. A backward perturbation result -- Lecture 15. The inverse power method -- Lecture 16. Reduction to Hessenberg form -- Lecture 17. The implicit double shift -- Lecture 18. Rank and Schmidt's theorem -- 0 aPart 4. Krylov Sequence Methods. Lecture 19. Introduction -- Lecture 20. The Lanczos algorithm -- Lecture 21. Linear systems, errors, and residuals -- Lecture 22. Operation counts and storage requirements -- Lecture 23. Preconditioned conjugate gradients -- Lecture 24. Diagonally dominant matrices; Return to incomplete factorization -- 0 aPart 5. Iterations, Linear and Nonlinear. Lecture 25. Some classical iterations -- Lecture 26. Linear and nonlinear -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aIn this follow-up to Afternotes on Numerical Analysis (SIAM, 1996) the author continues to bring the immediacy of the classroom to the printed page. Like the original undergraduate volume, Afternotes Goes to Graduate School is the result of the author writing down his notes immediately after giving each lecture; in this case the afternotes are the result of a follow-up graduate course taught by Professor Stewart at the University of Maryland. The algorithms presented in this volume require deeper mathematical understanding than those in the undergraduate book, and their implementations are not trivial. Stewart uses a fresh presentation that is clear and intuitive as he covers topics such as discrete and continuous approximation, linear and quadratic splines, eigensystems, and Krylov sequence methods. He concludes with two lectures on classical iterative methods and nonlinear equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNumerical analysis. aDiscrete approximation aContinuous approximation aLinear spines aQuadratic spines aEigensystems aKrylov sequence methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714044z9780898714043w(DLC) 97044449 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5803252nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820017003041000032003212450105003532600140004583000059005985040064006575050397007215060072011185201042011905300037022325380036022695380047023055880048023526500028024006530036024286530034024646530019024986530017025176530018025347000028025527100052025807760065026328560085026979781611971439SIAM20110503174121.0m eo d cr bn |||m|||a110502s1997 paua ob 001 0 eng d z 96053262 a9781611971439 (electronic bk.) z0898713889 (pbk.) z9780898713886 (pbk.)50aOT57bSIAM a(CaBNVSL)gtp00547392 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372b.C594 1997eb04a515/.3522211 aCoddington, Earl A.,d1920-10aLinear ordinary differential equationsh[electronic resource] /cEarl A. Coddington, Robert Carlson. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1997. a1 electronic text (xii, 341 p.) :bill., digital file. aIncludes bibliographical references (p. 333-334) and index.0 aPreface -- Chapter 1. Simple applications -- Chapter 2. Properties of linear systems -- Chapter 3. Constant coefficients -- Chapter 4. Periodic coefficients -- Chapter 5. Analytic coefficients -- Chapter 6. Singular points -- Chapter 7. Existence and uniqueness -- Chapter 8. Eigenvalue problems -- Chapter 9. Eigenfunction expansions -- Chapter 10. Control of linear systems -- Bibliography.1 aRestricted to subscribers or individual electronic text purchasers.3 aLinear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations. aOrdinary differential equations aLinear differential equations aLinear algebra aPower series aReal analysis1 aCarlson, Robert,d1951-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713889z9780898713886w(DLC) 96053262 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5703999nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820015003041000021003192450080003402600140004203000070005605040064006305050375006945060072010695201788011415300037029295380036029665380047030025880048030496500022030976500028031196530029031476530015031766530027031916530019032186530033032376530022032706530011032927100052033037760065033558560085034209781611971446SIAM20110503174052.0m eo d cr bn |||m|||a110502s1997 paua ob 001 0 eng d z 97017290 a9781611971446 (electronic bk.) z0898713897 (pbk.) z9780898713893 (pbk.)50aOT56bSIAM a(CaBNVSL)gtp00547391 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA184b.D455 1997eb04a512/.52211 aDemmel, James W.10aApplied numerical linear algebrah[electronic resource] /cJames W. Demmel. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1997. a1 electronic text (xi, 419 p.) :bill. (some col.), digital file. aIncludes bibliographical references (p. 389-408) and index.0 aPreface -- Chapter 1. Introduction -- Chapter 2. Linear equation solving -- Chapter 3. Linear least squares problems -- Chapter 4. Nonsymmetric Eigenvalue problems -- Chapter 5. The symmetric Eigenproblem and singular value decomposition -- Chapter 6. Iterative methods for linear systems -- Chapter 7. Iterative methods for Eigenvalue problems -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aDesigned for use by first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition. The author, who helped design the widely-used LAPACK and ScaLAPACK linear algebra libraries, draws on this experience to present state-of-the-art techniques for these problems, including recommendations of which algorithms to use in a variety of practical situations. Algorithms are derived in a mathematically illuminating way, including condition numbers and error bounds. Direct and iterative algorithms, suitable for dense and sparse matrices, are discussed. Algorithm design for modern computer architectures, where moving data is often more expensive than arithmetic operations, is discussed in detail, using LAPACK as an illustration. There are many numerical examples throughout the text and in the problems at the ends of chapters, most of which are written in Matlab and are freely available on the Web. Demmel discusses several current research topics, making students aware of both the lively research taking place and connections to other parts of numerical analysis, mathematics, and computer science. Some of this material is developed in questions at the end of each chapter, which are marked Easy, Medium, or Hard according to their difficulty. Some questions are straightforward, supplying proofs of lemmas used in the text. Others are more difficult theoretical or computing problems. Questions involving significant amounts of programming are marked Programming. The computing questions mainly involve Matlab programming, and others involve retrieving, using, and perhaps modifying LAPACK code from NETLIB. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aAlgebras, Linear. 0aNumerical calculations. aNumerical linear algebra aEigenvalue aLeast squares problems aLinear systems aSingular value decomposition aIterative methods aLAPACK2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713897z9780898713893w(DLC) 97017290 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5603695nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820016003041000031003202450084003512600140004353000058005755040064006335050556006975060072012535201135013255300037024605380036024975380047025335880048025806500028026286500024026566500031026806530039027116530023027506530030027736530035028036530041028386530028028796530023029076530045029307100052029757760065030278560085030929781611971453SIAM20110503174139.0m eo d cr bn |||m|||a110502s1997 paua ob 001 0 eng d z 96042071 a9781611971453 (electronic bk.) z089871382X (pbk.) z9780898713824 (pbk.)50aOT54bSIAM a(CaBNVSL)gtp00547390 aCaBNVSLcCaBNVSLdCaBNVSL 4aT57.74b.W75 1997eb04a519.7/22201 aWright, Stephen J.,d1960-10aPrimal-dual interior-point methodsh[electronic resource] /cStephen J. Wright. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1997. a1 electronic text (xx, 289 p.) :bill., digital file. aIncludes bibliographical references (p. 265-280) and index.0 aPreface -- Notation -- Chapter 1. Introduction -- Chapter 2. Background -- Chapter 3. Complexity theory -- Chapter 4. Potential-reduction methods -- Chapter 5. Path-following algorithms -- Chapter 6. Infeasible-interior-point algorithms -- Chapter 7. Superlinear convergence and finite termination -- Chapter 8. Extensions -- Chapter 9. Detecting infeasibility -- Chapter 10. Practical aspects of primal-dual algorithms -- Chapter 11. Implementations -- Appendix A. Basic concepts and results -- Appendix B. Software packages -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aIn the past decade, primal-dual algorithms have emerged as the most important and useful algorithms from the interior-point class. This book presents the major primal-dual algorithms for linear programming in straightforward terms. A thorough description of the theoretical properties of these methods is given, as are a discussion of practical and computational aspects and a summary of current software. This is an excellent, timely, and well-written work. The major primal-dual algorithms covered in this book are path-following algorithms (short- and long-step, predictor-corrector), potential-reduction algorithms, and infeasible-interior-point algorithms. A unified treatment of superlinear convergence, finite termination, and detection of infeasible problems is presented. Issues relevant to practical implementation are also discussed, including sparse linear algebra and a complete specification of Mehrotra's predictor-corrector algorithm. Also treated are extensions of primal-dual algorithms to more general problems such as monotone complementarity, semidefinite programming, and general convex programming problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aInterior-point methods. 0aLinear programming. 0aMathematical optimization. aPrimal-dual interior-point methods aLinear programming aPath-following algorithms aPotential-reduction algorithms aInfeasible-interior-point algorithms aSuperlinear convergence aFinite termination aMehrotra's predictor-corrector algorithm2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871382Xz9780898713824w(DLC) 96042071 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5402301nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003051000023003222450100003452600140004453000059005855040066006445060072007105200430007825300037012125380036012495380047012855880048013326500027013806530030014076530024014376530037014616530038014986530035015366530021015717000037015927100052016297760065016818560085017469781611971460SIAM20110503174100.0m eo d cr bn |||m|||a980220s1998 paua ob 001 0 eng d z 98003274 a9781611971460 (electronic bk.) z0898713749 (pbk.) z9780898713749 (pbk.)50aOT53bSIAM a(CaBNVSL)gtp00547389 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA299.3b.K74 1998eb04a515/.6242211 aKrommer, Arnold R.10aComputational integrationh[electronic resource] /cArnold R. Krommer, Christoph W. Ueberhuber. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xix, 445 p.) :bill., digital file. aIncludes bibliographical references (p. 401-423) and indexes.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis survey covers a wide range of topics fundamental to calculating integrals on computer systems and discusses both the theoretical and computational aspects of numerical and symbolic methods. It includes extensive sections on one- and multidimensional integration formulas, like polynomial, number-theoretic, and pseudorandom formulas, and deals with issues concerning the construction of numerical integration algorithms. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNumerical integration. aComputational integration aIntegration formula aNumerical integration algorithms aParallel integrational algorithms aNumerical integration software aNumerial methods1 aUeberhuber, Christoph W.,d1946-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713749z9780898713749w(DLC) 98003274 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5303790nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820025003051000028003302450086003582600140004443000059005845040051006435050465006945060072011595201341012315300037025725380036026095380047026455880048026926500043027406500041027836500035028246500026028596530019028856530019029046530021029236530035029446530027029796530022030066530042030287100052030707760065031228560085031879781611971477SIAM20110503174054.0m eo d cr bn |||m|||a110502s1996 paua ob 001 0 eng d z 96001148 a9781611971477 (electronic bk.) z0898713676 (pbk.) z9780898713671 (pbk.)50aOT52bSIAM a(CaBNVSL)gtp00547388 aCaBNVSLcCaBNVSLdCaBNVSL 4aQC174.9b.G47 1996eb04a530.1/36/01515352201 aGlassey, Robert,d1946-14aThe Cauchy problem in kinetic theoryh[electronic resource] /cRobert T. Glassey. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (xii, 241 p.) :bill., digital file. aIncludes bibliographical references and index.0 aPreface -- Chapter 1. Properties of the collision operator -- Chapter 2. The Boltzmann equation near the vacuum -- Chapter 3. The Boltzmann equation near the equilibrium -- Chapter 4. The Vlasov--Poisson system -- Chapter 5. The Vlasov--Maxwell system -- Chapter 6. Dilute collisionless plasmas -- Chapter 7. Velocity averages. weak solutions to the Vlasov--Maxwell system -- Chapter 8. Convergence of a particle method for the Vlasov--Maxwell system -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term. The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated? The topics treated include the study of the Boltzmann collision operator, the study of the initial-value problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initial-value problem for the Vlasov-Poisson system with smooth initial data of unrestricted size, conditions under which the initial-value problem for the Vlasov-Maxwell system has global-in-time solutions (in both the smooth and weak senses), and more. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aKinetic theory of matterxMathematics. 0aCauchy problemxNumerical solutions. 0aTransport theoryxMathematics. 0aMathematical physics. aCauchy problem aKinetic theory aTransport theory aPartial differential equations aInitial-value problems aBoltzman equation aVlasov-Poisson/Vlasov-Maxwell systems2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713676z9780898713671w(DLC) 96001148 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5203628nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000026003202450089003462600140004353000060005755040064006355050511006995060072012105201136012825300037024185380036024555380047024915880048025386500050025866500019026366530026026556530034026816530022027156530027027376530022027646530025027866530025028116530017028366530021028536530022028747100052028967760065029488560085030139781611971484SIAM20110503174131.0m eo d cr bn |||m|||a110502s1996 paua ob 001 0 eng d z 96003908 a9781611971484 (electronic bk.) z0898713609 (pbk.) z9780898713602 (pbk.)50aOT51bSIAM a(CaBNVSL)gtp00547387 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA214b.B56 1996eb04a512.9/422201 aBjorck, Ake,d1934-10aNumerical methods for least squares problemsh[electronic resource] /cAke Bjorck. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (xvii, 408 p.) :bill., digital file. aIncludes bibliographical references (p. 360-400) and index.0 aChapter 1. Mathematical and statistical properties of least squares solutions -- Chapter 2. Basic numerical methods -- Chapter 3. Modified least squares problems -- Chapter 4. Generalized least squares problems -- Chapter 5. Constrained least squares problems -- Chapter 6. Direct methods for sparse least squares problems -- Chapter 7. Iterative methods for least squares problems -- Chapter 8. Least squares with special bases -- Chapter 9. Nonlinear least squares problems -- References -- Bibliography.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aEquations, SimultaneousxNumerical solutions. 0aLeast squares. aLeast squares problem aSparse least squares problems aIterative methods aModified least squares aWeighted problems aConstrained problems aRegularized problems aQR algorithm aQR decomposition aSVD decomposition2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713609z9780898713602w(DLC) 96003908 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot5103939nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820014003041000033003182450218003512600140005693000057007095040064007665050201008305050126010315050404011575050385015615060072019465200919020185300037029375380036029745380047030105880048030576500024031056530012031296530019031416530029031606530024031896530030032137100052032437760065032958560085033609781611971491SIAM20110503174050.0m eo d cr bn |||m|||a110502s1996 paua ob 001 0 eng d z 95047768 a9781611971491 (electronic bk.) z0898713625 (pbk.) z9780898713626 (pbk.)50aOT49bSIAM a(CaBNVSL)gtp00547386 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297b.S785 1996eb04a519.42201 aStewart, G. W.q(Gilbert W.)10aAfternotes on numerical analysish[electronic resource] :ba series of lectures on elementary numerical analysis presented at the University of Maryland at College Park and recorded after the fact /cG.W. Stewart. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (x, 200 p.) :bill., digital file. aIncludes bibliographical references (p. 187-189) and index.0 aPart One. Nonlinear equations. Lecture 1. By the dawn's early light -- Lecture 2. Newton's method -- Lecture 3. A quasi-Newton method -- Lecture 4. The Secant method -- Lecture 5. A hybrid method.0 aPart Two. Computer arithmetic. Lecture 6. Floating-point numbers -- Lecture 7. Computing sums -- Lecture 8. Cancellation.0 aPart Three. Linear equations. Lecture 9. Matrices, vectors, and scalars -- Lecture 10. Theory of linear systems -- Lecture 11. Memory considerations -- Lecture 12. Positive definite matrices -- Lecture 13. Inner-product form of the Cholesky Algorithm -- Lecture 14. Pivoting -- Lecture 15. Vector norms -- Lecture 16. The condition of linear systems -- Lecture 17. The wonderful residual: a project.0 aPart Four. Polynomial interpolation. Lecture 18. Quadratic interpolation -- Lecture 19. Synthetic division -- Lecture 20. Error in interpolation -- Part Five. Numerical integration and differentiation. Lecture 21. Numerical integration -- Lecture 22. The composite Simpson's Rule -- Lecture 23. The setting -- Lecture 24. Numerical differentiation and integration -- Bibliography.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book presents the central ideas of modern numerical analysis in a vivid and straightforward fashion with a minimum of fuss and formality. Stewart designed this volume while teaching an upper-division course in introductory numerical analysis. To clarify what he was teaching, he wrote down each lecture immediately after it was given. The result reflects the wit, insight, and verbal craftmanship which are hallmarks of the author. Simple examples are used to introduce each topic, then the author quickly moves on to the discussion of important methods and techniques. With its rich mixture of graphs and code segments, the book provides insights and advice that help the reader avoid the many pitfalls in numerical computation that can easily trap an unwary beginner. Written by a leading expert in numerical analysis, this book is certain to be the one you need to guide you through your favorite textbook. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNumerical analysis. aVectors aRounding error aPolynomial interpolation aNonlinear equations aFloating-point arithmetic2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713625z9780898713626w(DLC) 95047768 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4905352nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820022003052450188003272600140005153000059006555040041007145051382007555050886021375060072030235201254030955300037043495380036043865380047044225880048044696500047045176530016045646530024045806530012046047000020046167000013046367000031046497100052046807760065047328560085047979781611971507SIAM20110503174112.0m eo d cr bn |||m|||a110502s1995 paua ob 000 0 eng d z 95007318 a9781611971507 (electronic bk.) z089871348X (pbk.) z9780898713480 (pbk.)50aOT47bSIAM a(CaBNVSL)gtp00547385 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.58b.D66 1995eb04a519.4/0285/5222000aDomain-based parallelism and problem decomposition methods in computational science and engineeringh[electronic resource] /cedited by David E. Keyes, Youcef Saad, Donald G. Truhlar. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xvi, 323 p.) :bill., digital file. aIncludes bibliographical references.0 aChapter 1. A family of overlapping Schwarz algorithms for nonsymmetric and indefinite elliptic problems / Xiao-Chuan Cai -- Chapter 2. Domain decomposition methods for wave propagation problems / Alfio Quarteroni -- Chapter 3. Domain decomposition, parallel computing, and petroleum engineering / Petter Bjorstad and Terje Karstad -- Chapter 4. Parallel implicit methods for aerodynamic applications on unstructured grids / V. Venkatakrishnan -- Chapter 5. Newton-Krylov-Schwarz methods applied to the Tokamak edge plasma fluid equations / D.A. Knoll, P.R. McHugh, and V.A. Mousseau -- Chapter 6. Parallel domain decomposition software / William Gropp and Barry Smith -- Chapter 7. Decomposition of space-time domains: accelerated waveform methods, with application to semiconductor device simulation / Andrew Lumsdaine and Mark W. Reichelt -- Chapter 8. A parallel multi-level solution method for large Markov chains / Graham Horton -- Chapter 9. Optimizing substructuring methods for repeated right hand sides, scalable parallel coarse solvers, and global/local analysis / Charbel Farhat -- Chapter 10. Parallel implementation of a domain decomposition method for non-linear elasticity problems / Francois-Xavier Roux -- Chapter 11. Fictitious domain/domain decomposition methods for partial differential equations / Roland Glowinski, Tsorng-Whay Pan, and Jacques Periaux -- 0 aChapter 12. Multipole and precorrected-FFT accelerated iterative methods for solving surface integral formulations of three-dimensional laplace problems / K. Nabors, J. Phillips, F.T. Korsmeyer, and J. White -- Chapter 13. Linear scaling algorithms for large scale electronic structure calculations / E.B. Stechel -- Chapter 14. Problem decomposition in quantum chemistry / Hans-Joachim Werner -- Chapter 15. Bound states of strongly coupled multidimensional molecular hamiltonians by the discrete variable representation approach / Zlatko Bacic -- Chapter 16. Wave operators and active subspaces: tools for the simplified dynamical description of quantum processes involving many-dimensional state spaces / Georges Jolicard and John P. Killingbeck -- Chapter 17. Problem decomposition techniques in quantum mechanical reactive scattering / David W. Schwenke and Donald G. Truhlar.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aParallel processing (Electronic computers) aParallelism aLarge Markov chains aLaplace1 aKeyes, David E.1 aSaad, Y.1 aTruhlar, Donald G.,d1944-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871348Xz9780898713480w(DLC) 95007318 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4702945nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003051000023003222450131003452600140004763000058006165040051006745050461007255060072011865200710012585300037019685380036020055380047020415880048020886500029021366530008021656530016021736530019021896530026022086530016022347000023022507100052022737760065023258560085023909781611971514SIAM20110503174110.0m eo d cr bn |||m|||a110502s1995 paua ob 001 0 eng d z 95003232 a9781611971514 (electronic bk.) z0898713420 (pbk.) z9780898713428 (pbk.)50aOT45bSIAM a(CaBNVSL)gtp00547384 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA403.5b.B75 1995eb04a515/.7232201 aBriggs, William L.14aThe DFTh[electronic resource] :ban owner's manual for the discrete Fourier transform /cWilliam L. Briggs, Van Emden Henson. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xv, 434 p.) :bill., digital file. aIncludes bibliographical references and index.0 aPreface -- Chapter 1. Introduction -- Chapter 2. The Discrete Fourier Transform (DFT) -- Chapter 3. Properties of the DFT -- Chapter 4. Symmetric DFTs -- Chapter 5. Multi-dimensional DFTs -- Chapter 6. Errors in the DFT -- Chapter 7. A few applications of the DFT -- Chapter 8. Related transforms -- Chapter 9. Quadrature and the DFT -- Chapter 10. The fast Fourier Transform (FFT) -- Glossary of (frequently and consistently used) notations -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aFourier transformations. aDFT aZ-transform aShift property aReciprocity relations aPolynomials1 aHenson, Van Emden.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713420z9780898713428w(DLC) 95003232 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4504581nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820024003032450161003272600140004883000059006284900034006875040051007215050396007725050346011685050434015145050252019485060072022005201128022725300037034005380036034375380047034735880048035206500040035686500031036086500027036396530022036666530021036886530024037096530018037336530026037517000025037777100052038027760065038548300035039198560085039549781611971521SIAM20110503174108.0m eo d cr bn |||m|||a940707s1994 paua ob 001 0 eng d z 94026850 a9781611971521 (electronic bk.) z0898713323 (pbk.) z9780898713329 (pbk.)50aOT44bSIAM a(CaBNVSL)gtp00547383 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA567b.D47 1994eb04a745.4/01/51635222000aDesigning fair curves and surfacesh[electronic resource] :bshape quality in geometric modeling and computer-aided design /cedited by Nickolas S. Sapidis. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (xii, 318 p.) :bill., digital file.1 aGeometric design publications aIncludes bibliographical references and index.0 aPart 1. Fairing point sets and curves. Chapter 1. Approximation with aesthetic constraints / H. G. Burchard, J. A. Ayers, W. H. Frey, and N. S. Sapidis -- Chapter 2. Curvature integration through constrained optimization / Alan K. Jones -- Chapter 3. Automatic fairing of point sets / M. Eck and R. Jaspert -- Chapter 4. Tight string method to fair piecewise linear curves / Mark Feldman -- 0 aPart 2. Designing fair surfaces. Chapter 5. Measures of fairness for curves and surfaces / John Roulier and Thomas Rando -- Chapter 6. Minimum variation curves and surfaces for computer-aided geometric design / Henry P. Moreton and Carlo H. Sequin -- Chapter 7. Convexity preserving surface interpolation / Tim Gallagher and Bruce Piper -- 0 aPart 3. Interactive techniques for aesthetic surface design. Chapter 8. The highlight band, a simplified reflection model for interactive smoothness evaluation / K.P. Beier and Y. Chen -- Chapter 9. Interactive design using partial differential equations / M.I.G. Bloor and M. J. Wilson -- Chapter 10. Polynomial splines of nonuniform degree. controlling convexity and fairness / A. I. Ginnis, P. D. Kaklis, and N. S. Sapidis -- 0 aPart 4. Special applications. Chapter 11. Constructing C1 surfaces of arbitrary topology using biquadratic and bicubic splines / Jorg Peters -- Chapter 12. A convolution approach to N-sided patches and vertex blending / Yan Zhao and Alyn Rockwood.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCurves, AlgebraicxData processing. 0aSurfacesxData processing. 0aComputer-aided design. aWeights functions aFairness metrics aDifference geometry aBezier curves aSurface interpolation1 aSapidis, Nickolas S.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713323z9780898713329w(DLC) 94026850 0aGeometric design publications.483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4403305nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003052450146003222600140004683000060006085040063006685050249007315060072009805201202010525300037022545380036022915380047023275880048023746500036024226500036024586500020024946530023025146530019025376530009025566530018025656530016025837000022025997100052026217760065026738560085027389781611971538SIAM20110503174151.0m eo d cr bn |||m|||a110502s1994 paua ob 001 0 eng d z 94127058 a9781611971538 (electronic bk.) z0898713285 (pbk.) z9780898713282 (pbk.)50aOT43bSIAM a(CaBNVSL)gtp00547382 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297.8b.T45 1994eb04a515/.25222000aTemplates for the solution of linear systemsh[electronic resource] :bbuilding blocks for iterative methods /cRichard Barrett ... [et al.]. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (xiii, 112 p.) :bill., digital file. aIncludes bibliographical references (p. 95-109) and index.0 aChapter 1. Introduction -- Chapter 2. Iterative methods -- Chapter 3. Preconditioners -- Chapter 4. Related issues -- Chapter 5. Remaining topics -- Appendix A. Obtaining the software -- Appendix B. Overview of the BLAS -- Appendix C. Glossary.1 aRestricted to subscribers or individual electronic text purchasers.3 aIn this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aIterative methods (Mathematics) 0aEquationsxNumerical solutions. 0aLinear systems. aConjugate Gradient aKrylov methods aBLAS aFactorization aParallelism1 aBarrett, Richard.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713285z9780898713282w(DLC) 94127058 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4303393nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820012003051000021003172450129003382600140004673000060006075040051006675050352007185060072010705201285011425300037024275380036024645380047025005880048025476500017025956500042026126530012026546530017026666530029026837000021027127100052027337760065027858560085028509781611971545SIAM20110503174119.0m eo d cr bn |||m|||a940516s1994 paua ob 001 0 eng d z 94020770 a9781611971545 (electronic bk.) z0898713242 (pbk.) z9780898713244 (pbk.)50aOT42bSIAM a(CaBNVSL)gtp00547381 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA37.2b.F735 1994eb04a5152201 aFriedman, Avner.10aIndustrial mathematicsh[electronic resource] :ba course in solving real-world problems /cAvner Friedman & Walter Littman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (xiii, 136 p.) :bill., digital file. aIncludes bibliographical references and index.0 aIntroduction -- Preface to the student -- Chapter 1. Crystal precipitation -- Chapter 2. Air quality modeling -- Chapter 3. Electron beam lithography -- Chapter 4. Development of color film negative -- Chapter 5. How does a catalytic converter function? -- Chapter 6. The photocopy machine -- Chapter 7. The photocopy machine (continued) -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aIndustrial mathematics is a fast growing field within the mathematical sciences. It is characterized by the origin of the problems which it engages; they all come from industry: research and development, finances, and communications. The common feature running through this enterprise is the goal of gaining a better understanding of industrial models and processes through mathematical ideas and computations. The authors of this book have undertaken the approach of presenting real industrial problems and their mathematical modeling as a motivation for developing mathematical methods that are needed for solving the problems. With each chapter presenting one important problem that arises in today's industry, and then studying the problem by mathematical analysis and computation, this book introduces the reader to many new ideas and methods from ordinary and partial differential equations, and from integral equations and control theory. It brings the excitement of real industrial problems into the undergraduate mathematical curriculum. The problems selected are accessible to students who have already taken what in many colleges and universities constitutes the first two-year basic Calculus sequence. A working knowledge of Fortran, Pascal, or C language is required. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematics. 0aMathematicsxIndustrial applications. aCoupler aEuler method aFinite difference method1 aLittman, Walter.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713242z9780898713244w(DLC) 94020770 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4203412nam 2200433 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820016003052450102003212600140004233000061005635040054006245050411006785060072010895201326011615300037024875380036025245380047025605880048026076500025026556530014026806530013026946530022027077000047027297100052027767760065028288560085028939781611971552SIAM20110503174104.0m eo d cr bn |||m|||a110502s1994 paua ob 000 0 eng d z 94011368 a9781611971552 (electronic bk.) z0898713234 (pbk.) z9780898713237 (pbk.)50aOT41bSIAM a(CaBNVSL)gtp00547380 aCaBNVSLcCaBNVSLdCaBNVSL 4aQC174.8b.C66 1994eb04a530.1/322000aContemporary problems in statistical physicsh[electronic resource] /cedited by George H. Weiss. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (xviii, 253 p.) :bill., digital file. aIncludes bibliographical references (p. 251-253).0 aDiffusion kinetics in microscopic nonhomogeneous systems / Peter Clifford and Nicholas J. B. Green -- Fluctuations in nonlinear systems driven by colored noise / Mark Dykman and Katja Lindenberg -- Percolation / Shlomo Havlin and Armin Bunde -- Aspects of trapping in transport processes / Frank den Hollander and George H. Weiss -- Stochastic resonance: from the ice ages to the monkey's ear / Frank Moss.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described, and some of the techniques used in this research are outlined, along with principal results and outstanding questions. A wide spectrum of mathematical techniques is covered, but the main emphasis is on introducing the mathematician to different research areas with open and interesting problems. This is an ideal starting point for the mathematician with an elementary acquaintance with the methodology of statistical physics. The material is meant to be introductory and terms are carefully defined. Many topics that require further study are introduced, providing new research ideas for the applied mathematician or thesis problems for the graduate student. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aStatistical physics. aDiffusion aTrapping aNonlinear systems1 aWeiss, George H.q(George Herbert),d1930-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713234z9780898713237w(DLC) 94011368 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4102984nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500410013002800500025002930820017003181000020003352450139003552600140004943000054006345060072006885200938007605300037016985380036017355380047017715880048018186500052018666500042019186500051019606500036020116500043020476500033020906500042021236500045021656530028022106530020022386530018022587100052022767760065023288560085023939781611971569SIAM20110503174145.0m eo d cr bn |||m|||a110502s1994 pau od 000 0 eng d z 93047250 a9781611971569 (electronic bk.) z0898713161 (pbk.) z9780898713169 (pbk.)50aOT40bSIAM a(CaBNVSL)gtp00547379 aCaBNVSLcCaBNVSLdCaBNVSL0 aengarus 4aQA276.4b.B67 1994eb04a519.5/032201 aBorovkov, K. A.10aRussian - English, English - Russian dictionary on probability, statistics, and combinatoricsh[electronic resource] /cK.A. Borovkov. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (viii, 154 p.) :bdigital file.1 aRestricted to subscribers or individual electronic text purchasers.3 aToday, almost all Russian-language mathematical journals are translated into English; however, there remains an interest in and demand for the original Russian scientific literature. This volume fulfills a need by scientists and translators for a dictionary with current terminology in probability theory, mathematical statistics, combinatorics, and their applications. Borovkov's dictionary, which is the only one that translates from Russian to English and English to Russian in these subject areas, will help specialists to read and understand Russian- language texts covering these topics. It is especially useful because it contains entries related to developments that have occurred in probability, statistics, and combinatorics over the past three decades. Each half of the dictionary contains approximately 7,500 terms and expressions, as well as the spelling of many names that appear in scientific and technical literature. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematical statisticsxDictionariesxRussian. 0aProbabilitiesxDictionariesxRussian. 0aCombinatorial analysisxDictionariesxRussian. 0aRussian languagexDictionaries. 0aMathematical statisticsxDictionaries. 0aProbabilitiesxDictionaries. 0aCombinatorial analysisxDictionaries. 0aEnglish languagexDictionariesxRussian. aMathematical dictionary aRussian-English aCombinatorics2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713161z9780898713169w(DLC) 93047250 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot4004680nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003051000023003222450153003452600140004983000058006385040064006965050016007605050139007765050275009155050225011905050282014155050294016975050311019915060072023025201172023745300037035465380036035835380047036195880048036666500035037146530022037496530016037716530023037876530015038107000030038257000030038557100039038857100052039247760065039768560085040419781611971576SIAM20110503174137.0m eo d cr bn |||m|||a110502s1993 paua ob 001 0 eng d z 93003059 a9781611971576 (electronic bk.) z0898713080 (pbk.) z9780898713084 (pbk.)50aOT37bSIAM a(CaBNVSL)gtp00547378 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA276.8b.K43 1993eb04a519.5/442201 aKeating, Jerome P.10aPitman's measure of closenessh[electronic resource] :ba comparison of statistical estimators /cJerome P. Keating, Robert L. Mason, Pranab K. Sen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1993. a1 electronic text (xv, 226 p.) :bill., digital file. aIncludes bibliographical references (p. 211-222) and index.0 aPreface -- 0 aPart 1. Introduction. Chapter 1. Evolution of estimation theory -- Chapter 2. PMC comes of age -- Chapter 3. The scope of the book -- 0 aPart 2. Development of Pitman's measure of closeness. Chapter 1. The intrinsic appeal of PMC -- Chapter 2. The concept of risk -- Chapter 3. Weakness in the use of risk -- Chapter 4. Joint versus marginal information -- Chapter 5. Concordance of PMC with MSE and MAD -- 0 aPart 3. Anomalies with PMC. Chapter 1. Living in an intransitive world -- Chapter 2. Paradoxes among choice -- Chapter 3. Rao's phenomenom; -- Chapter 4. The question of ties -- Chapter 5. The Rao-Berkson controversy -- 0 aPart 4. Pairwise comparisons. Chapter 1. Geary-Rao theorem -- Chapter 2. Applications of the Geary-Rao theorem -- Chapter 3. Karlin's corollary -- Chapter 4. A special case of the Geary-Rao theorem -- Chapter 5. Applications of the special case -- Chapter 6. Transitiveness -- 0 aPart 5. Pitman-closest estimators. Chapter 1. Estimation of location parameters -- Chapter 2. Estimators of scale -- Chapter 3. Generalization via topological groups -- Chapter 4. Posterior Pitman closeness -- Chapter 5. Linear combinations -- Chapter 6. Estimation by order statistics -- 0 aPart 6. Asymptotics and PMC. Chapter 1. Pitman closeness of BAN estimators -- Chapter 2. PMC by asymptotic representations -- Chapter 3. Robust estimation of a location parameter -- Chapter 4. APC characterizations of other estimators -- Chapter 5. Second-order efficiency and PMC -- Index -- Bibliography.1 aRestricted to subscribers or individual electronic text purchasers.3 aWritten with research oriented statisticians and mathematicians in mind, but also considering the needs of graduate students in statistics courses, this book provides a thorough introduction to the methods and known results associated with PMC. Following a foreword by C.R. Rao, the first three chapters focus on basic concepts, history, controversy, paradoxes and examples associated with the PMC criterion. The material is illustrated through realistic estimation problems and presented with a limited degree of technical difficulty. The last three chapters present a unified development of the extensive theoretical and mathematical research on PMC, albeit in the setup of a single parameter. Taken together, they serve as a single comprehensive source on this important topic. The text is highly referenced, allowing researchers to readily access the original articles. What lies ahead for PMC? This book begins to answer that question by presenting a unified discourse on this alternative criterion to traditional methods of comparison. Find out how the authors have begun to unravel the many attributes of PMC and their connections to other estimation criteria. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aPitman's measure of closeness. aGeary-Rao Theorem aAsymptotics aSheppard's Theorem aEstimators1 aMason, Robert Lee,d1946-1 aSen, Pranab Kumar,d1937-2 aSociety of Industrial Mathematics.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713080z9780898713084w(DLC) 93003059 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot3704133nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000021003192450115003402600140004553000057005955040064006525050287007165060072010035201926010755300037030015380036030385380047030745880048031216500022031696500027031916500049032186530025032676530028032926530028033206530019033486530030033677000040033977100052034377760065034898560085035549781611971637SIAM20110503174147.0m eo d cr bn |||m|||a110502s1992 paua ob 001 0 eng d z 92012139 a9781611971637 (electronic bk.) z089871298X (pbk.) z9780898712988 (pbk.)50aOT32bSIAM a(CaBNVSL)gtp00547377 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372b.L86 1992eb04a515/.352201 aLund, J.q(John)10aSinc methods for quadrature and differential equationsh[electronic resource] /cJohn Lund, Kenneth L. Bowers. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (x, 304 p.) :bill., digital file. aIncludes bibliographical references (p. 291-297) and index.0 aChapter 1. Preliminary material -- Chapter 2. Numerical methods on the real line -- Chapter 3. Numerical methods on an arc "Gamma" -- Chapter 4. The Sinc-Galerkin method -- Chapter 5. Steady problems -- Chapter 6. Time-dependent problems -- Appendix A. Linear algebra -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aHere is an elementary development of the Sinc-Galerkin method with the focal point being ordinary and partial differential equations. This is the first book to explain this powerful computational method for treating differential equations. These methods are an alternative to finite difference and finite element schemes, and are especially adaptable to problems with singular solutions. The text is written to facilitate easy implementation of the theory into operating numerical code. The authors' use of differential equations as a backdrop for the presentation of the material allows them to present a number of the applications of the sinc method. Many of these applications are useful in numerical processes of interest quite independent of differential equations. Specifically, numerical interpolation and quadrature, while fundamental to the Galerkin development, are useful in their own right. The intimate connection between collocation and Galerkin for the sinc basis is exposed via sinc-interpolation. The quadrature rules define a class of numerical integration methods that complement better known techniques, which in the case of singular integrands, often require modification. The sinc methodology of the text is illustrated on such applications as initial data recovery, heat diffusion, advective-diffusive transport, and Burgers' equation, to illustrate the numerical implementation of the theory discussed. Engineers may find sinc methods a very competitive approach to the more common boundary element or finite element methods. Further, workers in the signal processing community may find this particular approach a refreshingly different view of the use of sinc functions. Sinc approximation is a relatively new numerical technique. This book provides a much needed elementary level explanation. It has been used for graduate numerical classes at Montana State University and Texas Tech University. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aGalerkin methods. 0aNumerical integration. 0aDifferential equationsxNumerical solutions. aSinc-Galerkin method aTime dependent problems aBoundary value problems aConformal maps aNonhomogeneous conditions1 aBowers, K. L.q(Kenneth L.),d1952-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871298Xz9780898712988w(DLC) 92012139 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot3203015nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820015003032450077003182600140003953000060005354900034005955000072006295040041007015050769007425060072015115200311015835300037018945380036019315380047019675880048020146500036020626500026020986530027021246530016021516530017021676530013021847000030021977100045022277100052022727760065023248300035023898560085024249781611971651SIAM20110503174106.0m eo d cr bn |||m|||a110502s1992 paua ob 100 0 eng d z 92012066 a9781611971651 (electronic bk.) z0898712815 (pbk.) z9780898712810 (pbk.)50aOT29bSIAM a(CaBNVSL)gtp00547376 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA643b.C87 1992eb04a516/.622000aCurve and surface designh[electronic resource] /cedited by Hans Hagen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (viii, 205 p.) :bill., digital file.1 aGeometric design publications a"Sponsored by SIAM Activity Group on Geometric Design"--T.p. verso. aIncludes bibliographical references.0 aPart I. Curve design. Properties of minimal energy splines / G. Brunnett; Minimal energy splines with various end constraints / E. Jou and W. Han; Interval weighted Tau-splines / D. Lasser and H. Hagen; Curve and surface interpolation using quintic weight Tau-splines / D. Neuser; Weighted splines based on piecewise polynomial weighted functions / K. Salkauskas; Algorithms for geometric spline curves / M. Eck; On the problem of determining the distance between parametric curves / F. Fritsch and G. Nielson -- Part II. Non-tensor product surfaces. A survey of scattered data fitting using triangular interpolants / T. De Rose; Free-form surfaces from partial differential equations / M.I.G. Bloor and M.J. Wilson; Modeling with box spline surfaces / M. Daehlen.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCurves on surfacesxCongresses. 0aSurfacesxCongresses. aMinimal-energy splines aTau-splines aInterpolants aSurfaces1 aHagen, H.q(Hans),d1953-2 aSIAM Activity Group on Geometric Design.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712815z9780898712810w(DLC) 92012066 0aGeometric design publications.483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot2902265nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820018003062450109003242600140004333000058005734900034006315000144006655000072008095040064008815060072009455300037010175380036010545380047010905880048011376500043011856500053012286500052012816530013013336530012013466530014013586530013013727000024013857100052014097100045014617110056015067760065015628300035016278560085016629781611971668SIAM20110503174117.0m eo d cr bn |||m|||a110502s1992 paua ob 101 0 eng d z 91046596 a9781611971668 (electronic bk.) z0898712807 (pbk.) z9780898712803 (pbk.)50aOT28bSIAM a(CaBNVSL)gtp00547375 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA448.D38bG46 1992eb04a516/.028522000aGeometry processing for design and manufacturingh[electronic resource] /cedited by Robert E. Barnhill. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (ix, 211 p.) :bill., digital file.1 aGeometric design publications aOutgrowth of talks at the Geometric Design Conference of the Society for Industrial and Applied Mathematics, Tempe, Arizona, November 1989. a"Sponsored by SIAM Activity Group on Geometric Design"--T.p. verso. aIncludes bibliographical references (p. 205-207) and index.1 aRestricted to subscribers or individual electronic text purchasers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aGeometryxData processingvCongresses. 0aEngineering designxData processingvCongresses. 0aIndustrial designxData processingvCongresses. aSurfaces aOffsets aCurvature aB-spline1 aBarnhill, Robert E.2 aSociety for Industrial and Applied Mathematics.2 aSIAM Activity Group on Geometric Design.2 aGeometric Design Conferenced(1989 :cTempe, Ariz.)08iPrint version:z0898712807z9780898712803w(DLC) 91046596 0aGeometric design publications.483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot2802750nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820016003041000045003202450179003652600140005443000059006845040064007435050286008075060072010935200624011655300037017895380036018265380047018625880048019096500024019576530016019816530025019976530011020226530014020336530012020477000019020597100052020787760065021308560085021959781611971675SIAM20110503174141.0m eo d cr bn |||m|||a110502s1991 paua ob 001 0 eng d z 91038059 a9781611971675 (electronic bk.) z0898712637 (pbk.) z9780898712636 (pbk.)50aOT27bSIAM a(CaBNVSL)gtp00547374 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA431b.W644 1991eb04a515/.452201 aWing, G. Miltonq(George Milton),d1923-12aA primer on integral equations of the first kindh[electronic resource] :bthe problem of deconvolution and unfolding /cG. Milton Wing, with the assistance of John D. Zahrt. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1991. a1 electronic text (xiv, 141 p.) :bill., digital file. aIncludes bibliographical references (p. 121-124) and index.0 aAn introduction to the basic problem -- Some examples -- A bit of functional analysis -- Integral operators with separable kernels -- Integral operators with general kernels -- Some methods of resolving integral equations of the first kind -- Some important miscellany -- Epilogue.1 aRestricted to subscribers or individual electronic text purchasers.3 aDesigned to offer applied mathematicians, physicists, chemists, engineers, geophysicists, and other scientists an elementary level explanation of integral equations of the first kind. It maintains a casual, conversational approach. The book emphasizes understanding, while deliberately avoiding special methods of highly limited application. Special features: all problems illustrate important topics covered in the text; the subject is explained using a fairly non-rigorous approach to introduce any mathematics not commonly understood by the intended audience; designed for self-study, but can also be used as a text. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aIntegral equations. aConvergence aDirac delta function aKernel aOperators aVectors1 aZahrt, John D.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712637z9780898712636w(DLC) 91038059 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot2703120nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820018003042450102003222600140004243000058005645040041006225050354006635060072010175201000010895300037020895380036021265380047021625880048022096500031022576500025022886500047023136530026023606530019023866530025024057000030024307100052024607760065025128560085025779781611971705SIAM20110503174135.0m eo d cr bn |||m|||a110502s1990 paua ob 000 0 eng d z 90022017 a9781611971705 (electronic bk.) z0898712602 (pbk.) z9780898712605 (pbk.)50aOT22bSIAM a(CaBNVSL)gtp00547373 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.P367 1990eb04a512.9/43422000aParallel algorithms for matrix computationsh[electronic resource] /cK.A. Gallivan ... [et al.]. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (ix, 197 p.) :bill., digital file. aIncludes bibliographical references.0 aParallel algorithms for dense linear algebra computations / K.A. Gallivan, R.J. Plemmons, and A.H. Sameh (Reprinted from SIAM Review, March 1990, 82 pp.) -- Parallel algorithms for sparse linear systems / M.T. Heath, E.G.Y. Ng, and B.W. Peyton -- A bibliography on parallel and vector numerical algorithms / J.M. Ortega, R.G. Voigt, and C.H. Romine.1 aRestricted to subscribers or individual electronic text purchasers.3 aDescribes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMatricesxData processing. 0aParallel algorithms. 0aParallel processing (Electronic computers) aSparse linear systems aLinear algebra aNumerical algorithms1 aGallivan, Kyle A.,d1958-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712602z9780898712605w(DLC) 90022017 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot2203048nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003051000047003222450127003692600140004963000059006365040051006955050737007465060072014835200491015555300037020465380036020835380047021195880048021666500023022146500030022376530015022676530012022826530022022946530015023166530011023317000022023427100052023647760065024168560085024819781611971712SIAM20110503174129.0m eo d cr bn |||m|||a110502s1990 paua ob 001 0 eng d z 90010222 a9781611971712 (electronic bk.) z0898712610 (pbk.) z9780898712612 (pbk.)50aOT21bSIAM a(CaBNVSL)gtp00547372 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA276.8b.T53 1990eb04a519.5/442201 aThompson, James R.q(James Robert),d1938-10aNonparametric function estimation, modeling, and simulationh[electronic resource] /cJames R. Thompson, Richard A. Tapia. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (xvi, 304 p.) :bill., digital file. aIncludes bibliographical references and index.0 aChapter 1. Historical background -- Chapter 2. Some approaches to nonparametric density estimation -- Chapter 3. Maximum likelihood density estimation -- Chapter 4. Maximum penalized likelihood density estimation -- Chapter 5. Discrete maximum penalized likelihood estimation -- Chapter 6. Nonparametric density of estimation in higher dimensions -- Chapter 7. Nonparametric regression and intensity function estimation -- Chapter 8. Model building and speculative data analysis -- Appendix I. An introduction to mathematical optimization theory -- Appendix II. Numerical solution of constrained optimization problems -- Appendix III. Optimization algorithms for noisy problems -- Appendix IV. A brief primer in simulation -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aTopics emphasized include nonparametric density estimation as an exploratory device plus the deeper models to which the exploratory analysis points, multi-dimensional data analysis, and analysis of remote sensing data, cancer progression, chaos theory, epidemiological modeling, and parallel based algorithms. New methods discussed are quick nonparametric density estimation based techniques for resampling and simulation based estimation techniques not requiring closed form solutions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aEstimation theory. 0aNonparametric statistics. aSimulation aSplines aMean Square Error aInequality aKernel1 aTapia, Richard A.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712610z9780898712612w(DLC) 90010222 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot2103374nam 2200433 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500022002800820016003022450122003182600140004403000059005805040054006395050692006935060072013855200980014575300037024375380036024745380047025105880048025576500043026056530026026486530024026747000023026987100052027217300017027737760065027908560085028559781611971729SIAM20110503174143.0m eo d cr bn |||m|||a110502s1990 paua ob 000 0 eng d z 90049670 a9781611971729 (electronic bk.) z0898712599 (pbk.) z9780898712599 (pbk.)50aOT20bSIAM a(CaBNVSL)gtp00547371 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA43b.P76 1990eb04a510/.7622000aProblems in applied mathematicsh[electronic resource] :bselections from SIAM review /cedited by Murray S. Klamkin. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (xxv, 588 p.) :bill., digital file. aIncludes bibliographical references (p. 585-588).0 aChapter 1. Mechanics -- Chapter 2. Electrical resistance -- Chapter 3. Probability -- Chapter 4. Combinatorics -- Chapter 5. Series -- Chapter 6. Special functions -- Chapter 7. Ordinary differential equations -- Chapter 8. Partial differential equations -- Chapter 9. Definite integrals -- Chapter 10. Integral equations -- Chapter 11. Matrices and determinants -- Chapter 12. Numerical A -- Chapter 13. Inequalities -- Chapter 14. Optimization -- Chapter 15. Graph theory -- Chapter 16. Geometry -- Chapter 17. Polynomials -- Chapter 18. Simultaneous equations -- Chapter 19. Identities -- Chapter 20. Zeros -- Chapter 21. Functional equations -- Chapter 22. Miscellaneous -- Appendix.1 aRestricted to subscribers or individual electronic text purchasers.3 aPeople in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematicsxProblems, exercises, etc. aMathematical problems aProblem collections1 aKlamkin, Murray S.2 aSociety for Industrial and Applied Mathematics.0 aSIAM review.08iPrint version:z0898712599z9780898712599w(DLC) 90049670 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot2003209nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820018003032450110003212600140004313000072005715040051006435050601006945060072012955200841013675300037022085380036022455380047022815880048023286500019023766530011023956530017024066530024024236530024024476530016024717000023024877000027025107100052025377760065025898560085026549781611971736SIAM20110503174153.0m eo d cr bn |||m|||a110502s1991 paua ob 001 0 eng d z 90048218 a9781611971736 (electronic bk.) z0898712580 (pbk.) z9780898712582 (pbk.)50aOT19bSIAM a(CaBNVSL)gtp00547370 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA925b.V67 1991eb04a532/.059522000aVortex methods and vortex motionh[electronic resource] /cedited by Karl E. Gustafson, James A. Sethian. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1991. a1 electronic text (viii, 212 p.) :bill. (some col.), digital file. aIncludes bibliographical references and index.0 aPreface -- A brief overview of vortex methods / James A. Sethian -- Convergence of vortex methods / Ole H. Hald -- A gallery of fluid motion using vortex methods / James A. Sethian -- Physical vortex visualization as a reference for computer simulation / Peter Freymuth -- Four principles of vortex motion / Karl E. Gustafson -- Visualization and computation of hovering mode vortex dynamics / Peter Freymuth, Karl E. Gustafson and Robert Leben -- Turbulence and vortices in superfluid helium / Thomas F. Buttke -- Vortices, turbulence, and statistical mechanics / Alexandre Joel Chorin -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aVortex methods have emerged as a new class of powerful numerical techniques to analyze and compute vortex motion. This book addresses the theoretical, numerical, computational, and physical aspects of vortex methods and vortex motion. Vortex phenomena in fluid flows and the experimental, theoretical, and numerical methods used to characterize them are discussed in reviews by leading experts. Extensive photographs and sample computer graphics are provided. The development of large vortex structure in fluid flow is responsible for some of the most fascinating aspects of fluid dynamics, such as mixing, shearing, transport, and instability. Such issues arise in a variety of flow regimes, ranging from fundamental mathematical questions in laminar, transitional, and turbulent flow to sophisticated engineering settings and devices. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aVortex-motion. aVortex aFluid motion aComputer simulation aBoundary conditions aConvergence1 aGustafson, Karl E.1 aSethian, James Albert.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712580z9780898712582w(DLC) 90048218 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot1902789nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003052450124003222600140004463000059005865000072006455040041007175050345007585060072011035200513011755300037016885380036017255380047017615880048018086500025018566500021018816500017019026530022019196530017019416530018019586530018019766530021019946530014020157000023020297100052020527300017021047760065021218560085021869781611971767SIAM20110503174125.0m eo d cr bn |||m|||a110502s1987 paua ob 000 0 eng d z 86060090 a9781611971767 (electronic bk.) z0898712041 (pbk.) z9780898712049 (pbk.)50aOT15bSIAM a(CaBNVSL)gtp00547369 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA401b.M3937 1987eb04a001.4/3421900aMathematical modellingh[electronic resource] :bclassroom notes in applied mathematics /cedited by Murray S. Klamkin. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1987. a1 electronic text (xiv, 338 p.) :bill., digital file. aReprint of articles originally published in SIAM review, 1975-1986. aIncludes bibliographical references.0 aIntroduction -- Part I: Physical and mathematical sciences: Mechanics; Heat transfer; Traffic flow; Electrical networks; Communication and coding; Graph theory and applications; Applied geometry; Numerical analysis; Mathematical economics; Optimization; Music; Stochastic models -- Part II: Life sciences: Population models; Medical models.1 aRestricted to subscribers or individual electronic text purchasers.3 aDesigned for classroom use, this book contains short, self-contained mathematical models of problems in the physical, mathematical, and biological sciences first published in the Classroom Notes section of the SIAM Review from 1975-1985. The problems provide an ideal way to make complex subject matter more accessible to the student through the use of concrete applications. Each section has extensive supplementary references provided by the editor from his years of experience with mathematical modelling. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematical models. 0aProblem solving. 0aMathematics. aStochastic models aOptimization aLife sciences aHeat transfer aApplied geometry aMechanics1 aKlamkin, Murray S.2 aSociety for Industrial and Applied Mathematics.0 aSIAM review.08iPrint version:z0898712041z9780898712049w(DLC) 86060090 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot1502488nam 2200469 a 45000010014000000030005000140050017000190080041000360100017000770200035000940200022001290200025001510280015001760350025001910400030002160500023002460820016002691000029002852450140003142600140004543000058005945040052006525050134007045060072008385200502009105300037014125380036014495380047014855880048015326500047015806500037016276500016016646530021016806530021017016530022017226530028017446530023017727000021017957100052018167760065018688560085019339781611971774SIAM20110503174149.0110502s1985 paua ob 000 0 eng d z 85061387 a9781611971774 (electronic bk.) z0898710553 (pbk.) z9780898710557 (pbk.)50aOT13bSIAM a(CaBNVSL)gtp00547368 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.O77 1985eb04a515.3532211 aOrtega, James M.,d1932-10aSolution of partial differential equations on vector and parallel computersh[electronic resource] /cJames M. Ortega, Robert G. Voigt. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1985. a1 electronic text (iii, 96 p.) :bill., digital file. aIncludes bibliographical references (p. 65-92).0 aReview of the hardware -- Direct methods for linear equations -- Iterative and time marching methods -- Applications -- Epilogue.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis volume reviews, in the context of partial differential equations, algorithm development that has been specifically aimed at computers that exhibit some form of parallelism. Emphasis is on the solution of PDEs because these are typically the problems that generate high computational demands. The authors discuss architectural features of these computers insomuch as they influence algorithm performance, and provide insight into algorithm characteristics that allow effective use of hardware. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aParallel processing (Electronic computers) 0aDifferential equations, Partial. 0aAlgorithms. aVector computers aLinear equations aIterative methods aBoundary value problems aParallel computers1 aVoigt, Robert G.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710553z9780898710557w(DLC) 85061387 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot1302605nam 2200457 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003032450080003192600140003993000052005395040041005915050418006325060072010505200476011225300037015985380036016355380047016715880048017186500030017666500046017966500031018426530013018736530027018866530012019137000020019257100052019457760065019978560085020629781611971811SIAM20110503174123.0m eo d cr bn |||m|||a110502s1979 pau ob 000 0 eng d z 78078206 a9781611971811 (electronic bk.) z089871172X (pbk.) z9780898711721 (pbk.)50aOT08bSIAM a(CaBNVSL)gtp00547367 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA214b.L56 1979eb04a001.6/421900aLINPACK, users' guideh[electronic resource] /cJ.J. Dongarra ... [et al.]. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1979. a1 electronic text (xx, 344 p.) :bdigital file. aIncludes bibliographical references.0 aGeneral matrices -- Band matrices -- Positive definite matrices -- Positive definite band matrices -- Symmetric indefinite matrices -- Triangular matrices -- Tridiagonal matrices -- The Cholesky decomposition -- The QR decomposition -- Updating QR and Cholesky decompositions -- The singular value decomposition -- References -- Basic linear algebra subprograms -- Timing data -- Program listings -- BLA listings.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe authors of this carefully structured guide are the principal developers of LINPACK, a unique package of Fortran subroutines for analyzing and solving various systems of simultaneous linear algebraic equations and linear least squares problems. This guide supports both the casual user of LINPACK who simply requires a library subroutine, and the specialist who wishes to modify or extend the code to handle special problems. It is also recommended for classroom work. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aLINPACK (Computer system) 0aEquations, SimultaneousxData processing. 0aMatricesxData processing. aMatrices aProgramming,algorithms aLINPACK1 aDongarra, J. J.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871172Xz9780898711721w(DLC) 78078206 483SIAMuhttp://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot0803996nam 2200565 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500410013002800500027002930820014003201000032003342400058003662450099004242600140005233000053006634900042007165000206007585040064009645050963010285060072019915200752020635300037028155380036028525380047028885880048029356500031029836500022030146500028030366530020030646530015030846530015030996530025031146530012031396530020031517000018031717100052031897760065032418300043033068560081033499781611971088SIAM20110503173921.0m eo d cr bn |||m|||a110427r19991976pau ob 001 0 eng d z 99046956 a9781611971088 (electronic bk.) z0898714508 (pbk.) z9780898714500 (pbk.)50aCL28bSIAM a(CaBNVSL)gtp00547366 aCaBNVSLcCaBNVSLdCaBNVSL1 aenghfre 4aQA402.5b.E3813 1999eb04a519.32211 aEkeland, I.q(Ivar),d1944-10aAnalyse convexe et problemes variationnels.lEnglish10aConvex analysis and variational problemsh[electronic resource] /cIvar Ekeland, Roger Temam. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xiv, 402 p.) :bdigital file.1 aClassics in applied mathematics ;v28 aEnglish language ed. originally published: Amsterdam : North-Holland Pub. Co. ; New York : American Elsevier Pub. Co. [distributor], 1976, in series: Studies in mathematics and its applications ; v. 1. aIncludes bibliographical references (p. 391-401) and index.0 aPreface to the Classics edition -- Preface -- Part One. Fundamentals of convex analysis. Chapter I. Convex functions -- Chapter II. Minimization of convex functions and variational inequalities -- Chapter III. Duality in convex optimization -- Part Two. Duality and convex variational problems. Chapter IV. Applications of duality to the calculus of variations (I) -- Chapter V. Applications of duality to the calculus of variations (II) -- Chapter VI. Duality by the minimax theorem -- Chapter VII. Other applications of duality -- Part Three. Relaxation and non-convex variational problems. Chapter VIII. Existence of solutions for variational problems -- Chapter IX. Relaxation of non-convex variational problems (I) -- Chapter X. Relaxation of non-convex variational problems (II) -- Appendix I. An a priori estimate in non-convex programming -- Appendix II. Non-convex optimization problems depending on a parameter -- Comments -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematical optimization. 0aConvex functions. 0aCalculus of variations. aConvex analysis aRelaxation aNon-convex aVariational problems aDuality aMinimax theorem1 aTemam, Roger.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714508z9780898714500w(DLC) 99046956 0aClassics in applied mathematics ;v28.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2804011nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000022003192450084003412600140004253000058005654900042006235040053006655050794007185060072015125201400015845300037029845380036030215380047030575880048031046500031031526530011031836530014031946530014032086530020032226530016032426530018032587100052032767760065033288300043033938560081034369781611971095SIAM20110503173955.0m eo d cr bn |||m|||a110427r19991991paua ob 001 0 eng d z 99036132 a9781611971095 (electronic bk.) z0898714435 (pbk.) z9780898714432 (pbk.)50aCL27bSIAM a(CaBNVSL)gtp00547365 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA871b.M87 1999eb04a515/.352211 aMurdock, James A.10aPerturbationsh[electronic resource] :btheory and methods /cJames A. Murdock. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xx, 509 p.) :bill., digital file.1 aClassics in applied mathematics ;v27 aIncludes bibliographical references and indexes.0 aPreface to the Classics edition -- Preface -- Part I. Introduction to perturbation theory. Chapter 1. Root finding -- Chapter 2. Regular perturbations -- Chapter 3. Direct error estimation -- Part II. Oscillatory phenomena. Chapter 4. Periodic solutions and Lindstedt series -- Chapter 5. Multiple scales -- Chapter 6. Averaging -- Part III. Transition layers. Chapter 7. Initial layers -- Chapter 8. Boundary layers -- Chapter 9. Methods of the WKB type -- Appendix A. Taylor's theorem -- Appendix B. The implicit function theorem -- Appendix C. Second order differential equations -- Appendix D. Systems of differential equations -- Appendix E. Fourier series -- Appendix F. Lipschitz constants and vector norms -- Appendix G. Logical quantifiers and uniformity -- Symbol index -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aPerturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved. First published in 1991, this book is still useful today because it is an introduction. It combines perturbation results with those known through other methods. Sometimes a geometrical result (such as the existence of a periodic solution) is rigorously deduced from a perturbation result, and at other times a knowledge of the geometry of the solutions is used to aid in the selection of an effective perturbation method. Dr. Murdock's approach differs from other introductory texts because he attempts to present perturbation theory as a natural part of a larger whole, the mathematical theory of differential equations. He explores the meaning of the results and their connections to other ways of studying the same problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aPerturbation (Mathematics) aSeries aStability aResonance aMultiple scales aBifurcation aApproximation2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714435z9780898714432w(DLC) 99036132 0aClassics in applied mathematics ;v27.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2705847nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820014003041000036003182450150003542600140005043000059006444900042007035000195007455040066009405051056010065051388020625060072034505201189035225300037047115380036047485380047047845880048048316500022048796500039049016530020049406530024049606530021049846530026050057000019050317000026050507100052050767760065051288300043051938560081052369781611971101SIAM20110503173959.0m eo d cr bn |||m|||a110427r19991977paua ob 001 0 eng d z 99031040 a9781611971101 (electronic bk.) z0898714397 (pbk.) z9780898714395 (pbk.)50aCL26bSIAM a(CaBNVSL)gtp00547364 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA278.7b.G5 1999eb04a519.52211 aGibbons, Jean Dickinson,d1938-10aSelecting and ordering populationsh[electronic resource] :ba new statistical methodology /cJean Dickinson Gibbons, Ingram Olkin, Milton Sobel. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xxv, 569 p.) :bill., digital file.1 aClassics in applied mathematics ;v26 aUnabridged, corrected republication first published: New York : Wiley, c1977, in series Wiley series in probability and mathematical statistics and A Wiley publication in applied statistics. aIncludes bibliographical references (p. 543-556) and indexes.0 aChapter 1. The philosophy of selecting and ordering populations -- Chapter 2. Selecting the one best population for normal distributions with common known variance -- Chapter 3. Selecting the one best population for other normal distribution models -- Chapter 4. Selecting the one best population bionomial (or Bernoulli) distributions -- Chapter 5. Selecting the one normal population with the smallest variance -- Chapter 6. Selecting the one best category for the multinomial distribution -- Chapter 7. Nonparametric selection procedures -- Chapter 8. Selection procedures for a design with paired comparisons -- Chapter 9. Selecting the normal population with the best regression value -- Chapter 10. Selecting normal populations better than a control -- Chapter 11. Selecting the t best out of k populations -- Chapter 12. Complete ordering of k populations -- Chapter 13. Subset selection (or elimination) procedures -- Chapter 14. Selecting the best gamma population -- Chapter 15. Selection procedures for multivariate normal distributions -- 0 aAppendix A. Tables for normal means selection problems -- Appendix B. Figures for normal means selection problems -- Appendix C. Table of the cumulative standard normal distribution F(z) -- Appendix D. Table of critical values for the chi-square distribution -- Appendix E. Tables for binomial selection problems -- Appendix F. Figures for binomial selection problems -- Appendix G. Tables for normal variances selection problems -- Appendix H. Tables for multinomial selection problems -- Appendix I. Curtailment tables for the multinomial selection problem -- Appendix J. Tables of the incomplete beta function -- Appendix K. Tables for nonparametric selection problems -- Appendix L. Tables for paired-comparison selection problems -- Appendix M. Tables for selecting from k normal populations those better than a control -- Appendix N. Tables for selecting the t best normal populations -- Appendix O. Table of critical values of Fisher's F distribution -- Appendix P. Tables for complete ordering problems -- Appendix Q. Tables for subset selection problems -- Appendix R. Tables for gamma distribution problems -- Appendix S. Tables for multivariate selection problems -- Appendix T. Excerpt of table of random numbers -- Appendix U. Table of squares and square roots -- Bibliography -- References for applications -- Index for data and examples -- Name index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis SIAM Classics edition is an unabridged, corrected republication of the work first published in 1977. It provides a compendium of applied aspects of ordering and selection procedures and includes tables that permit the practitioner to carry out the experiment and draw statistically justified conclusions. These tables are not readily available in other texts. Although more than 1000 papers and several books on the general theory of ranking and selection have been published since this book first appeared, the methodology is presented in a more elementary fashion, with numerous examples to help the reader apply it to a specific problem. There is a dichotomy in modern statistics that distinguishes between analyses done before an experiment is completed and those done afterward. Ranking and selection methods are useful in both of these categories. The authors provide an alternative to the overused "testing the null hypothesis" when what the practitioner really needs is a method of ranking k given populations, selecting the t best populations, or some similar goal. That need and purpose is as important today as when the subject was first developed nearly 50 years ago. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aOrder statistics. 0aRanking and selection (Statistics) aPreference zone aSelection procedure aDistance measure aBinomial distribution1 aOlkin, Ingram.1 aSobel, Milton,d1919-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714397z9780898714395w(DLC) 99031040 0aClassics in applied mathematics ;v26.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2603555nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820014003051000025003192450145003442600140004893000058006294900042006875000057007295040051007865050511008375060072013485200937014205300037023575380036023945380047024305880048024776500023025256500020025486500031025686530014025996530020026136530015026336530020026486530018026686530019026867000030027057000025027357100052027607760065028128300043028778560081029209781611971118SIAM20110503174001.0m eo d cr bn |||m|||a110426r19991986paua ob 001 0 eng d z 99037307 a9781611971118 (electronic bk.) z0898714443 (pbk.) z9780898714449 (pbk.)50aCL25bSIAM a(CaBNVSL)gtp00547363 aCaBNVSLcCaBNVSLdCaBNVSL 4aTJ213b.K3924 1999eb04a629.82211 aKokotovic, Petar V.10aSingular perturbation methods in controlh[electronic resource] :banalysis and design /cPetar Kokotovic, Hassan K. Khalil, John O'Reilly. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xv, 371 p.) :bill., digital file.1 aClassics in applied mathematics ;v25 aOriginally published: London : Academic Press, 1986. aIncludes bibliographical references and index.0 aPreface to the Classics edition -- Preface to the First edition -- Acknowledgments -- Chapter 1. Time-scale modeling -- Chapter 2. Linear time-invariant systems -- Chapter 3. Linear feedback control -- Chapter 4. Stochastic linear filtering and control -- Chapter 5. Linear time-varying systems -- Chapter 6. Optimal control -- Chapter 7. Nonlinear systems -- References -- References added in proof -- Appendix A. Approximation of singularly perturbed systems driven by white noise -- Appendix B -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aSingular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modeling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications. This book continues to be essential in many ways. It lays down the foundation of singular perturbation theory for linear and nonlinear systems, it presents the methodology in a pedagogical way that is not available anywhere else, and it illustrates the theory with many solved examples, including various physical examples and applications. So while new developments may go beyond the topics covered in this book, they are still based on the methodology described here, which continues to be their common starting point. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aAutomatic control. 0aControl theory. 0aPerturbation (Mathematics) aStability aOptimal control aEigenvalue aNear-optimality aApproximation aBoundary-layer1 aKhalil, Hassan K.,d1950-1 aO'Reilly, J.q(John)2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714443z9780898714449w(DLC) 99037307 0aClassics in applied mathematics ;v25.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2502444nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820014003031000028003172450067003452600140004123000059005524900042006115000109006535040064007625050524008265060072013505300037014225380036014595380047014955880048015426500026015906530018016166530019016346530025016536530020016786530023016987100052017217760065017738300043018388560081018819781611971125SIAM20110503174007.0m eo d cr bn |||m|||a110426r19991962paua ob 001 0 eng d z 99027282 a9781611971125 (electronic bk.) z0898714419 (pbk.) z9780898714418 (pbk.)50aCL24bSIAM a(CaBNVSL)gtp00547362 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA274b.P37 1999eb04a519.22211 aParzen, Emanuel,d1929-10aStochastic processesh[electronic resource] /cEmanuel Parzen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xix, 324 p.) :bill., digital file.1 aClassics in applied mathematics ;v24 aAn unabridged, corrected republication of the work first published by Holden-Day, Oakland, Calif., 1962. aIncludes bibliographical references (p. 307-313) and index.0 aPreface to the Classics edition -- Preface -- Role of the Theory of stochastic processes -- Chapter 1. Random variables and stochastic processes -- Chapter 2. Conditional probability and conditional expectation -- Chapter 3. Normal processes and covariance stationary processes -- Chapter 4. Counting processes and Poisson processes -- Chapter 5. Renewal counting processes -- Chapter 6. Markov chains: discrete parameter -- Chapter 7. Markov chains: continuous parameter -- References -- Author index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aStochastic processes. aMarkov chains aWiener process aStochastic processes aPoisson process aCovariance kernals2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714419z9780898714418w(DLC) 99027282 0aClassics in applied mathematics ;v24.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2403854nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200027001630200030001900280015002200350025002350400030002600500023002900820014003131000019003272450097003462500012004432600140004553000058005954900042006535000076006955040064007715050774008355060072016095201068016815300037027495380036027865380047028225880048028696500024029176500039029416530018029806530022029986530038030206530014030587000023030727100052030957760065031478300043032128560081032559781611971132SIAM20110503173923.0m eo d cr bn |||m|||a110427s1999 paua ob 001 0 eng d z 98046719 a9781611971132 (electronic bk.) z089871429X (softcover) z9780898714296 (softcover)50aCL23bSIAM a(CaBNVSL)gtp00547361 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA272b.B37 1999eb04a519.32211 aBasar, Tamer.10aDynamic noncooperative game theoryh[electronic resource] /cTamer Basar, Geert Jan Olsder. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xv, 519 p.) :bill., digital file.1 aClassics in applied mathematics ;v23 aRevised from the 2nd ed. published in 1995 by Academic Press, New York. aIncludes bibliographical references (p. 485-506) and index.0 aPreface to the Classics edition -- Preface to the Second edition -- Chapter 1. Introduction and motivation -- Part I. Chapter 2. Noncooperative finite games. two-person zero-sum -- Chapter 3. Noncooperative finite games. N-person nonzero-sum -- Chapter 4. Static noncooperative infinite games -- Part II. Chapter 5. General formulation of infinite dynamic games -- Chapter 6. Nash and Saddle-Point equilibria of infinite dynamic games -- Chapter 7. Stackelberg equilibria of infinite dynamic games -- Chapter 8. Pursuit-evasion games -- Appendix A. Mathematical review -- Appendix B. Some notions of probability theory -- Appendix C. Fixed point theorems -- Bibliography -- Table: corollaries, definitions, examples, lemmas, propositions, remarks and theorems -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aRecent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential games. 0aNoncooperative games (Mathematics) aCost function aIsaac's condition aNoncooperative (Nash) equilibrium aViscosity1 aOlsder, Geert Jan.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871429Xz9780898714296w(DLC) 98046719 0aClassics in applied mathematics ;v23.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2303691nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000034003202450094003542600140004483000054005884900042006425000116006845040064008005050902008645060072017665200789018385300037026275380036026645380047027005880048027476500025027956530018028206530021028386530029028596530015028886530016029036530025029197100052029447760065029968300043030618560081031049781611971149SIAM20110503174005.0m eo d cr bn |||m|||a110426r19981971pau ob 001 0 eng d z 98029392 a9781611971149 (electronic bk.) z0898714273 (pbk.) z9780898714272 (pbk.)50aCL22bSIAM a(CaBNVSL)gtp00547360 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA279b.J65 1998eb04a001.4/342211 aJohn, Peter William Meredith.10aStatistical design and analysis of experimentsh[electronic resource] /cPeter W.M. John. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xxiv, 356 p.) :bdigital file.1 aClassics in applied mathematics ;v22 a"An unabridged republication of the work first published by the Macmillan Company, New York, 1971"--T.p. verso. aIncludes bibliographical references (p. 339-350) and index.0 aPreface -- Preface to the Classics edition -- References in the preface -- Chapter 1. Introduction -- Chapter 2. Linear models and quadratic forms -- Chapter 3. Experiments with a single factor -- Chapter 4. Experiments with two factors -- Chapter 5. Experiments with several factors -- Chapter 6. Latin square designs -- Chapter 7. Factors with two or three levels -- Chapter 8. Fractions of 2n factorial designs -- Chapter 9. Fractional factorials with more than two levels -- Chapter 10. Response surfaces -- Chapter 11. Incomplete block designs -- Chapter 12. Partially balanced incomplete block designs -- Chapter 13. The existence and construction of balanced incomplete block designs -- Chapter 14. The existence and construction of partially balanced designs -- Chapter 15. Additional topics in partially balanced designs -- Appendix. Matrices and quadratic forms -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aReaders will find this book an invaluable reference on the design of experiments. It contains hard-to-find information on topics such as change-over designs with residual effects and early treatment of analysis of covariance. Other topics include linear models and quadratic forms, experiments with one or more factors, Latin square designs, and fractions of 2n factorial designs. There is also extensive coverage of the analysis of incomplete block designs and of the existence and construction of balanced and partially balanced designs. A new preface (to the classics edition) describes the changes made in experimental design since the book was first published in 1971. It discusses the use of personal computers to analyze data and details the emergence of industrial statistics. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aExperimental design. aBlock designs aYate's algorithm aOrthogonal Latin squares aGeometrics aConfounding aInterblock estimates2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714273z9780898714272w(DLC) 98029392 0aClassics in applied mathematics ;v22.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2203720nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820015003031000030003182450173003482600140005213000060006614900042007215000155007635040051009185050242009695060072012115201234012835300037025175380036025545380047025905880048026376500017026856500025027026500036027276500034027636500039027976530017028366530025028536530035028786530010029136530014029237100052029377760065029898300043030548560081030979781611971156SIAM20110503173931.0m eo d cr bn |||m|||a110426r19981977paua ob 001 0 eng d z 97062401 a9781611971156 (electronic bk.) z0898714087 (pbk.) z9780898714081 (pbk.)50aCL21bSIAM a(CaBNVSL)gtp00547359 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA37.2b.H2 1998eb04a511/.82211 aHaberman, Richard,d1945-10aMathematical modelsh[electronic resource] :bmechanical vibrations, population dynamics, and traffic flow : an introduction to applied mathematics /cRichard Haberman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xvii, 402 p.) :bill., digital file.1 aClassics in applied mathematics ;v21 a"This SIAM edition is an unabridged republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1977"--T.p. verso. aIncludes bibliographical references and index.0 aForeword -- Preface to the Classics edition -- Preface -- Part 1. Mechanical vibrations. introduction to mathematical models in the physical sciences -- Part 2. Population dynamics - mathematical ecology -- Part 3. Traffic flow -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant. It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematics. 0aMathematical models. 0aVibrationxMathematical models. 0aEcologyxMathematical models. 0aTraffic flowxMathematical models. aNewton's Law aMathematical ecology aPartial differential equations aWaves aPendulums2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714087z9780898714081w(DLC) 97062401 0aClassics in applied mathematics ;v21.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2103605nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820018003031000026003212450085003472600140004323000054005724900042006265000166006685040051008345050465008855060072013505201173014225300037025955380036026325380047026685880048027156500024027636500017027876530014028046530022028186530011028406530019028517100052028707760065029228300043029878560081030309781611971163SIAM20110503174011.0m eo d cr bn |||m|||a110427r19981980pau ob 001 0 eng d z 97040623 a9781611971163 (electronic bk.) z0898714028 (pbk.) z9780898714029 (pbk.)50aCL20bSIAM a(CaBNVSL)gtp00547358 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.P37 1998eb04a512.9/4342211 aParlett, Beresford N.14aThe symmetric eigenvalue problemh[electronic resource] /cBeresford N. Parlett. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xxiv, 398 p.) :bdigital file.1 aClassics in applied mathematics ;v20 a"This SIAM edition is an unabridged, corrected republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1980"--T.p. verso. aIncludes bibliographical references and index.0 aConvergence theory for the Rayleigh quotient iteration -- Eigenvectors of tridiagonals -- Convergence theory, simpler than Wilkinson's, for Wilkinson's shift strategy in QL and QR -- New proofs and sharper results for error bounds -- Optimal properties of Rayleigh-Ritz approximations -- Approximation theory from Krylov subspaces, Paige's theorem for noisy Lanczos algorithms, and semiorthogonality among Lanczos vectors -- Four flavors of subspace iteration.1 aRestricted to subscribers or individual electronic text purchasers.3 aAccording to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSymmetric matrices. 0aEigenvalues. aSubspaces aOrthogonalization aKrylov aError analysis2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714028z9780898714029w(DLC) 97040623 0aClassics in applied mathematics ;v20.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl2004518nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820018003041000034003222450079003562500012004352600140004473000062005874900042006495000056006915040053007475051190008005060072019905201432020625300037034945380036035315380047035675880048036146500014036626500027036766530014037036530013037176530017037306530024037477100052037717760065038238300043038888560081039319781611971170SIAM20110503173927.0m eo d cr bn |||m|||a110426r19971970paua ob 001 0 eng d z 97067651 a9781611971170 (electronic bk.) z0898713994 (pbk.) z9780898713992 (pbk.)50aCL19bSIAM a(CaBNVSL)gtp00547357 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.B445 1997eb04a512.9/4342211 aBellman, Richard,d1920-1984.10aIntroduction to matrix analysish[electronic resource] /cRichard Bellman. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1997. a1 electronic text (xxviii, 403 p.) :bill., digital file.1 aClassics in applied mathematics ;v19 aOriginally published: New York : McGraw-Hill, 1970. aIncludes bibliographical references and indexes.0 aForeword -- Preface to the Second edition -- Preface -- Chapter 1. Maximization, minimization, and motivation -- Chapter 2. Vectors and matrices -- Chapter 3. Diagonalization and canonical forms for symmetric matrices -- Chapter 4. Reduction of general symmetric matrices to diagonal form -- Chapter 5. Constrained maxima -- Chapter 6. Functions of matrices -- Chapter 7. Variational description of characteristic roots -- Chapter 8. Inequalities -- Chapter 9. Dynamic programming -- Chapter 10. Matrices and differential equations -- Chapter 11. Explicit solutions and canonical forms -- Chapter 12. Symmetric function, Kronecker products and circulants -- Chapter 13. Stability theory -- Chapter 14. Markoff matrices and probability theory -- Chapter 15. Stochastic matrices -- Chapter 16. Positive matrices, Perron's theorem, and mathematical economics -- Chapter 17. Control processes -- Chapter 18. Invariant imbedding -- Chapter 19. Numerical inversion of the Laplace transform and Tychonov regularization -- Appendix A. Linear equations and rank -- Appendix B. The quadratic form of Selberg -- Appendix C. A method of Hermite -- Appendix D. Moments and quadratic forms -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aLong considered to be a classic in its field, this was the first book in English to include three basic fields of the analysis of matrices -- symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical economics. Written in lucid, concise terms, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods. Originally published in 1970, this book replaces the first edition previously published by SIAM in the Classics series. Here you will find a basic guide to operations with matrices and the theory of symmetric matrices, plus an understanding of general square matrices, origins of Markov matrices and non-negative matrices in general, minimum- maximum characterization of characteristic roots, Krnoecker products, functions of matrices, and much more. These ideas and methods will serve as powerful analytical tools. In addition, this volume includes exercises of all levels of difficulty and many references to original papers containing further results. The problem sections contain many useful and interesting results that are not easily found elsewhere. A discussion of the theoretical treatment of matrices in the computational solution of ordinary and partial differential equations, as well as important chapters on dynamic programming and stochastic matrices are also included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMatrices. 0aMathematical analysis. aProcesses aMatrices aInequalities aDynamic programming2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713994z9780898713992w(DLC) 97067651 0aClassics in applied mathematics ;v19.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1903970nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500022002800820018003021000036003202450079003562600140004353000060005754900042006355000066006775040051007435050378007945060072011725201673012445300037029175380036029545380047029905880048030376500027030856500036031126530020031486530028031686530021031966530018032177100052032357760065032878300043033528560081033959781611971187SIAM20110503173929.0m eo d cr bn |||m|||a960402r19961961paua ob 001 0 eng d z 96014933 a9781611971187 (electronic bk.) z0898713706 (pbk.) z9780898713701 (pbk.)50aCL18bSIAM a(CaBNVSL)gtp00547356 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA432b.L3 1996eb04a515/.72422201 aLanczos, Cornelius,d1893-1974.10aLinear differential operatorsh[electronic resource] /cCornelius Lanczos. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (xvii, 564 p.) :bill., digital file.1 aClassics in applied mathematics ;v18 aOriginally published: London ; New York : Van Nostrand, 1961. aIncludes bibliographical references and index.0 aPreface -- Bibliography -- Chapter 1. Interpolation -- Chapter 2. Harmonic analysis -- Chapter 3. Matrix calculus -- Chapter 4. The function space -- Chapter 5. The Green's function -- Chapter 6. Communication problems -- Chapter 7. Sturm-Liouville problems -- Chapter 8. Boundary value problems -- Chapter 9. Numerical solution of trajectory problems -- Appendix -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aOriginally published in 1961, this Classics edition continues to be appealing because it describes a large number of techniques still useful today. Although the primary focus is on the analytical theory, concrete cases are cited to forge the link between theory and practice. Considerable manipulative skill in the practice of differential equations is to be developed by solving the 350 problems in the text. The problems are intended as stimulating corollaries linking theory with application and providing the reader with the foundation for tackling more difficult problems. Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things. The emphasis is constantly on one question: "What are the basic and characteristic properties of linear differential operators?" In the author's words, this book is written for those "to whom a problem in ordinary or partial differential equations is not a problem of logical acrobatism, but a problem in the exploration of the physical universe. To get an explicit solution of a given boundary value problem is in this age of large electronic computers no longer a basic question. But of what value is the numerical answer if the scientist does not understand the peculiar analytical properties and idiosyncrasies of the given operator? The author hopes that this book will help in this task by telling something about the manifold aspects of a fascinating field." aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCalculus, Operational. 0aDifferential equations, Linear. aSturm-Liouville aBoundary value problems aGreen's Function aInterpolation2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713706z9780898713701w(DLC) 96014933 0aClassics in applied mathematics ;v18.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1804232nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820026003031000023003292450138003522600140004903000052006304900042006825040066007245050626007905060072014165201602014885300037030905380036031275380047031635880048032106500052032586500029033106500019033396530015033586530016033736530017033896530018034067000028034247000021034527100052034737760065035258300043035908560081036339781611971194SIAM20110503173933.0m eo d cr bn |||m|||a110427s1996 pau ob 001 0 eng d z 96013952 a9781611971194 (electronic bk.) z0898713692 (pbk.) z9780898713695 (pbk.)50aCL17bSIAM a(CaBNVSL)gtp00547355 aCaBNVSLcCaBNVSLdCaBNVSL 4aTA169b.B37 1996eb04a620/.00452/0151182201 aBarlow, Richard E.10aMathematical theory of reliabilityh[electronic resource] /cRichard E. Barlow, Frank Proschan with contributions by Larry C. Hunter. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (xv, 258 p.) :bdigital file.1 aClassics in applied mathematics ;v17 aIncludes bibliographical references (p. 243-250) and indexes.0 aPreface to the Classics edition -- Preface -- Chapter 1. Introduction. historical background of the mathematical theory of reliability -- Chapter 2. Failure distributions -- Chapter 3. Operating characteristics of maintenance policies -- Chapter 4. Optimum maintenance policies -- Chapter 5. Stochastic models for complex systems -- Chapter 6. Redundancy optimization -- Chapter 7. Qualitative relationships for multicomponent structures -- Appendix 1. Total positivity -- Appendix 2. Test for increasing failure rate -- Appendix 3. Tables giving bounds on distributions with monotone failure rate -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems. The emphasis throughout the book is on making minimal assumptions--and only those based on plausible physical considerations--so that the resulting mathematical deductions may be safely made about a large variety of commonly occurring reliability situations. The first part of the book is concerned with component reliability, while the second part covers system reliability, including problems that are as important today as they were in the 1960s. Mathematical reliability refers to a body of ideas, mathematical models, and methods directed toward the solution of problems in predicting, estimating, or optimizing the probability of survival, mean life, or, more generally, life distribution of components and systems. The enduring relevance of the subject of reliability and the continuing demand for a graduate-level book on this topic are the driving forces behind its republication. Unavailable since its original publication in 1965, Mathematical Theory of Reliability now joins a growing list of volumes in SIAM's Classics series. Although contemporary reliability books are now available, few provide as mathematically rigorous a treatment of the required probability background as this one. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aReliability (Engineering)xMathematical models. 0aMathematical statistics. 0aProbabilities. aRedundancy aReplacement aFailure rate aMarkov chains1 aProschan, Frank,d1921-1 aHunter, Larry C.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713692z9780898713695w(DLC) 96013952 0aClassics in applied mathematics ;v17.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1704416nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002801000037003052450141003422600140004833000058006234900042006815000073007235040066007965050834008625060072016965201519017685300037032875380036033245380047033605880048034076500031034556500036034866530031035226530017035536530028035706530022035986530025036207000024036457100052036697760065037218300043037868560081038299781611971200SIAM20110503173945.0m eo d cr bn |||m|||a951204r19961983paua ob 001 0 eng d z 95051776 a9781611971200 (electronic bk.) z0898713641 (pbk.) z9780898713640 (pbk.)50aCL16bSIAM a(CaBNVSL)gtp00547354 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.D44 1996eb1 aDennis, J. E.q(John E.),d1939-10aNumerical methods for unconstrained optimization and nonlinear equationsh[electronic resource] /cJ.E. Dennis, Jr., Robert B. Schnabel. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (xv, 378 p.) :bill., digital file.1 aClassics in applied mathematics ;v16 aOriginally published: Englewood Cliffs, N.J. : Prentice-Hall, c1983. aIncludes bibliographical references (p. 364-370) and indexes.0 aPreface -- Chapter 1. Introduction -- Chapter 2. Nonlinear problems in one variable -- Chapter 3. Numerical linear algebra background -- Chapter 4. Multivariable calculus background -- Chapter 5. Newton's method for nonlinear equations and unconstrained minimization -- Chapter 6. Globally convergent modifications of Newton's method -- Chapter 7. Stopping, scaling, and testing. scaling -- Chapter 8. Secant methods for systems of nonlinear equations -- Chapter 9. Secant methods for unconstrained minimization -- Chapter 10. Nonlinear least squares -- Chapter 11. Methods for problems with special structure -- Appendix A. A modular system of algorithms for unconstrained minimization and nonlinear equations (by Robert Schnabel) -- Appendix B. Test problems (by Robert Schnabel) -- References -- Author index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematical optimization. 0aEquationsxNumerical solutions. aUnconstrained minimization aTrust region aNonlinear least squares aFinite-difference aLinear search method1 aSchnabel, Robert B.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713641z9780898713640w(DLC) 95051776 0aClassics in applied mathematics ;v16.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1604472nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000023003192450099003422600140004413000059005814900042006405000164006825040064008465051384009105051008022945060072033025300037033745380036034115380047034475880048034946500036035426530019035786530018035976530010036156530024036256530015036496530018036647000031036827100052037137760065037658300043038308560081038739781611971217SIAM20110503174003.0m eo d cr bn |||m|||a110427r19951974paua ob 001 0 eng d z 95035178 a9781611971217 (electronic bk.) z0898713560 (pbk.) z9780898713565 (pbk.)50aCL15bSIAM a(CaBNVSL)gtp00547353 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA275b.L38 1995eb04a511/.422201 aLawson, Charles L.10aSolving least squares problemsh[electronic resource] /cCharles L. Lawson, Richard J. Hanson. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xii, 337 p.) :bill., digital file.1 aClassics in applied mathematics ;v15 a"This SIAM edition is an unabridged, revised republication of the work first published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1974"--T.p. verso. aIncludes bibliographical references (p. 312-326) and index.0 aPreface to the Classics edition -- Preface -- Chapter 1. Introduction -- Chapter 2. Analysis of the least squares problem -- Chapter 3. Orthogonal decomposition by certain elementary orthogonal transformations -- Chapter 4. Orthogonal decomposition by singular value decomposition -- Chapter 5. Perturbation theorems for singular values -- Chapter 6. Bounds for the condition number of a triangular matrix -- Chapter 7. The pseudoinverse -- Chapter 8. Perturbation bounds for the pseudoinverse -- Chapter 9. Perturbation bounds for the solution of problem LS -- Chapter 10. Numerical computations using elementary orthogonal transformations -- Chapter 11. Computing the solution for the overdetermined or exactly-- determined full rank problem -- Chapter 12. Computation of the covariance matrix of the solution parameters -- Chapter 13. Computing the solution for the underdetermined full rank problem -- Chapter 14. Computing the solution for problem LS with possibly deficient pseudorank -- Chapter 15. Analysis of computing errors for householder transformations -- Chapter 16. Analysis of computing errors for the problem LS -- Chapter 17. Analysis of computing errors for the problem LS using mixed precision arithmetic -- Chapter 18. Computation of the singular value decomposition and the solution of problem LS -- Chapter 19. Other methods for least squares problems -- 0 aChapter 20. Linear least squares with linear equality constraints using a basis of the null space -- Chapter 21. Linear least squares with linear equality constraints by direct elimination -- Chapter 22. Linear least squares with linear equality constraints by weighting -- Chapter 23. Linear least squares with linear inequality constraints -- Chapter 24. Modifying a QR decomposition to add or remove column vectors -- Chapter 25. Practical analysis of least squares problems -- Chapter 26. Examples of some methods of analyzing a least squares problem -- Chapter 27. Modifying a QR decomposition to add or remove row vectors with Application to sequential processing of problems having a large or banded coefficient matrix -- Appendix A. Basic linear algebra including projections -- Appendix B. Proof of global quadratic convergence of the QR algorithm -- Appendix C. Description and use of FORTRAN codes for solving problem LS -- Appendix D. Developments from 1974 to 1995 -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aLeast squaresxData processing. aSingular value aDecomposition aSVDRS aPerturbation bounds aOrthogonal aLeast squares1 aHanson, Richard J.,d1938-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713560z9780898713565w(DLC) 95035178 0aClassics in applied mathematics ;v15.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1503807nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000034003192450153003532600140005063000057006464900042007035000119007455040064008645050264009285060072011925201385012645300037026495380036026865380047027225880048027696500049028176530022028666530021028886530020029096530025029296530010029546530008029647000039029727000025030117100052030367760065030888300043031538560081031969781611971224SIAM20110503173949.0m eo d cr bn |||m|||a110427r19961989paua ob 001 0 eng d z 95046482 a9781611971224 (electronic bk.) z0898713536 (pbk.) z9780898713534 (pbk.)50aCL14bSIAM a(CaBNVSL)gtp00547352 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA378b.B73 1996eb04a512/.562201 aBrenan, Kathryn Eleda,d1954-10aNumerical solution of initial-value problems in differential-algebraic equationsh[electronic resource] /cK.E. Brenan, S.L. Campbell, L.R. Petzold. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (x, 256 p.) :bill., digital file.1 aClassics in applied mathematics ;v14 a"An unabridged, corrected republication of the work first published by North-Holland, New York, 1989"--T.p. verso. aIncludes bibliographical references (p. 239-251) and index.0 aPreface -- Chapter 1. Introduction -- Chapter 2. Theory of DAE's -- Chapter 3. Multistep methods -- Chapter 4. One-step methods -- Chapter 5. Software and DAE's -- Chapter 6. Applications -- Chapter 7. The DAE home page -- Supplementary bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aMany physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date. The objective of this monograph is to advance and consolidate the existing research results for the numerical solution of DAE's. The authors present results on the analysis of numerical methods, and also show how these results are relevant for the solution of problems from applications. They develop guidelines for problem formulation and effective use of the available mathematical software and provide extensive references for further study. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aInitial value problemsxNumerical solutions. aVariable stepsize aPendulum problem aHessenberg form aExtrapolation method aDASSL aBDF1 aCampbell, S. L.q(Stephen La Vern)1 aPetzold, Linda Ruth.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713536z9780898713534w(DLC) 95046482 0aClassics in applied mathematics ;v14.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1403830nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000036003202450168003562600140005243000059006644900042007235000125007655040064008905050579009545060072015335200986016055300037025915380036026285380047026645880048027116500050027596530015028096530014028246530021028386530013028596530036028726530010029086530023029186530027029417000027029687000040029957100052030357760065030878300043031528560081031959781611971231SIAM20110503173947.0m eo d cr bn |||m|||a950714r19951988paua ob 001 0 eng d z 95033340 a9781611971231 (electronic bk.) z0898713544 (pbk.) z9780898713541 (pbk.)50aCL13bSIAM a(CaBNVSL)gtp00547351 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA379b.A83 1995eb04a515/.3522201 aAscher, U. M.q(Uri M.),d1946-10aNumerical solution of boundary value problems for ordinary differential equationsh[electronic resource] /cUri M. Ascher, Robert M.M. Mattheij, Robert D. Russell. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xxv, 595 p.) :bill., digital file.1 aClassics in applied mathematics ;v13 aOriginally published: Englewood Cliffs, N.J. : Prentice-Hall, 1988. (Prentice Hall series in computational mathematics). aIncludes bibliographical references (p. 534-585) and index.0 aList of examples -- Preface -- Chapter 1. Introduction -- Chapter 2. Review of numerical analysis and mathematical background -- Chapter 3. Theory of ordinary differential equations -- Chapter 4. Initial value methods -- Chapter 5. Finite difference methods -- Chapter 6. Decoupling -- Chapter 7. Solving linear equations -- Chapter 8. Solving nonlinear equations -- Chapter 9. Mesh selection -- Chapter 10. Singular perturbations -- Chapter 11. Special topics -- Appendix A. A multiple shooting code -- Appendix B. A collocation code -- References -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aBoundary value problemsxNumerical solutions. aQuadrature aStability aIll-conditioning aMatrices aOrdinary differential equations aError aBoundary condition aBoundary value problem1 aMattheij, Robert M. M.1 aRussell, R. D.q(Robert D.),d1945-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713544z9780898713541w(DLC) 95033340 0aClassics in applied mathematics ;v13.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1307455nam 2200565 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500410013002800500026002930820016003191000039003352400077003742450291004512460067007422600140008093000052009494900042010015040054010435050031010975051402011285051140025305051751036705060072054215200802054935300037062955380036063325380047063685880048064156500019064636500033064826530019065156530025065346530028065596530028065877000033066157100052066487760065067008300043067658560081068089781611971248SIAM20110503174013.0m eo d cr bn |||m|||a110427s1995 pau ob 000 0 eng d z 95006589 a9781611971248 (electronic bk.) z0898713471 (pbk.) z9780898713473 (pbk.)50aCL11bSIAM a(CaBNVSL)gtp00547350 aCaBNVSLcCaBNVSLdCaBNVSL1 aenghlat 4aQA275b.G37313 1995eb04a511/.422201 aGauss, Carl Friedrich,d1777-1855.10aTheoria combinationis observationum erroribus minimis obnoxiae.lEnglish10aTheory of the combination of observations least subject to errorh[electronic resource] :bpart one, part two, supplement = Theoria combinationis observationum erroribus minimus obnoxiae : pars prior, pars posterior, supplementum /cby Carl Friedrich Gauss ; translated by G.W. Stewart.31aTheoria combinationis observationum erroribus minimus obnoxiae aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xi, 241 p.) :bdigital file.1 aClassics in applied mathematics ;v11 aIncludes bibliographical references (p. 237-241).0 aTranslator's introduction.0 aPars prior/Part one. Random and regular errors in observations. Regular errors excluded -- Their treatment -- General properties of random errors -- The distribution of the error -- The constant part or mean value of the error -- The mean square error as a measure of uncertainty -- Mean error, weight and precision -- Effect of removing the constant part -- Interpercentile ranges and probable error -- properties of the uniform, triangular, and normal distribution -- Inequalities relating the mean error and interpercentile ranges -- The fourth moments of the uniform, triangular, and normal distributions -- The distribution of a function of several errors -- The mean value of a function of several errors -- Some special cases -- Convergence of the estimate of the mean error -- The mean error of the estimate itself -- The mean error of the estimate for the mean value -- Combining errors with different weights -- Overdetermined systems of equations -- The problem of obtaining the unknowns as combinations of observations -- The principle of least squares -- The mean error of a function of quantities with errors -- The regression model -- The best combination for estimating the first unknown -- The weight of the estimate -- Estimates of the remaining unknowns and their weights -- Justification of the principle of least squares -- The case of a single unknown -- The arithmetic mean.0 aPars posterior/Part two. Existence of the least squares estimates. Relation between combinations for different unknowns -- A formula for the residual sum of squares -- Another formula for the residual sum of squares -- Four formulas for the residual sum of squares as a function of the unknowns -- Errors in the least squares estimates as functions of the errors in the observations -- Mean errors and correlations -- Linear functions of the unknowns -- Least squares with a linear constraint -- Review of Gaussian elimination -- Abbreviated computation of the weights of the unknowns -- Computational details -- Abbreviated computation of the weight of a linear function of the unknowns -- Updating the unknowns and their weights when a new observation is added to the system -- Updating the unknowns and their weights when the weight of an observation changes -- A bad formula for estimating the errors in the observations from the residual sum of squares -- The correct formula -- The mean error of the residual sum of squares -- Inequalities for the mean error of the residual sum of squares -- The case of the normal distribution.0 aSupplementum/Supplement. Problems having constraints on the observations: reduction to an ordinary least squares problem. Functions of the observations, their mean errors -- Estimating a function of observations that are subject to constraints -- Characterization of permissible estimates -- The function that gives the most reliable estimate -- The value of the most reliable estimate -- Four formulas for the weight of the value of the estimate -- The case of more than one function -- The most reliable adjustments of the observations and their use in estimation -- Least squares characterization of the most reliable adjustment -- Difficulties in determining weights -- A better method -- Computational details -- Existence of the estimates -- Estimating the mean error in the observations -- Estimating the mean error in the observations, continued -- The mean error in the estimate -- Incomplete adjustment of observations -- Relation between complete and incomplete adjustments -- A block iterative method for adjusting observations -- The inverse of a symetric system is a symmetric -- Fundamentals of geodesy -- De Krayenhof's triangulation -- A triangulation from Hannover -- Determining weights in the Hannover triangulation. -- Anzeigen/Notices: Part one, part two, supplement -- Afterword. Gauss's schooldays -- Legendre and the priority controversy -- Beginnings: Mayer, Boscovich and Laplace -- Gauss and Laplace -- The theoria motus -- Laplace and the central limit theorem -- The Theoria Combinationis Observationum -- The precision of observations -- The combination of observations -- The inversion of linear systems -- Gaussian elimination and numerical linear algebra -- The generalized minimum variance theorem - References.1 aRestricted to subscribers or individual electronic text purchasers.3 aIn the 1820s Gauss published two memoirs on least squares, which contain his final, definitive treatment of the area along with a wealth of material on probability, statistics, numerical analysis, and geodesy. These memoirs, originally published in Latin with German Notices, have been inaccessible to the English-speaking community. Here for the first time they are collected in an English translation. For scholars interested in comparisons the book includes the original text and the English translation on facing pages. More generally the book will be of interest to statisticians, numerical analysts, and other scientists who are interested in what Gauss did and how he set about doing it. An Afterword by the translator, G. W. Stewart, places Gauss's contributions in historical perspective. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aLeast squares. 0aError analysis (Mathematics) aError analysis aGaussian elimination aResidual sum of squares aMethod of least squares1 aStewart, G. W.q(Gilbert W.)2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713471z9780898713473w(DLC) 95006589 0aClassics in applied mathematics ;v11.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1104569nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000033003192450073003522600140004253000058005654900042006235000106006655040066007715051128008375060072019655201479020375300037035165380036035535380047035895880048036366500027036846530012037116530025037236530022037486530021037706530016037916530015038077100052038227760065038748300043039398560081039829781611971255SIAM20110503173939.0m eo d cr bn |||m|||a110427r19941969paua ob 001 0 eng d z 94036844 a9781611971255 (electronic bk.) z0898713412 (pbk.) z9780898713411 (pbk.)50aCL10bSIAM a(CaBNVSL)gtp00547349 aCaBNVSLcCaBNVSLdCaBNVSL 4aT57.8b.M34 1994eb04a519.7/62201 aMangasarian, Olvi L.,d1934-10aNonlinear programmingh[electronic resource] /cOlvi L. Mangasarian. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (xv, 220 p.) :bill., digital file.1 aClassics in applied mathematics ;v10 aOriginally published: New York : McGraw-Hill, 1969, in series: McGraw-Hill series in systems science. aIncludes bibliographical references (p. 205-212) and indexes.0 aPreface to the Classic edition -- Chapter 1. The nonlinear programming problem, preliminary concepts, and notation -- Chapter 2. Linear inequalities and theorems of the alternative -- Chapter 3. Convex sets in Rn -- Chapter 4. Convex and concave functions -- Chapter 5. Saddlepoint optimality criteria in nonlinear programming without differentiability -- Chapter 6. Differentiable convex and concave functions -- Chapter 7. Optimality criteria in nonlinear programming with differentiability -- Chapter 8. Duality in nonlinear programming -- Chapter 9. Generalizations of convex functions. quasiconvex, strictly quasiconvex, and pseudoconvex functions -- Chapter 10. Optimality and duality for generalized convex and concave functions -- Chapter 11. Optimality and duality in the presence of nonlinear equality constraints -- Appendix A. Vectors and matrices -- Appendix B. Resume of some topological properties of Rn -- Appendix C. Continuous and semicontinuous functions, minima and infima -- Appendix D. Differentiable functions, mean-value and implicit function theorems -- Bibliography -- Name index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions. Properties of differentiable convex functions are derived and then used in two key chapters of the book, one on optimality conditions for differentiable nonlinear programs and one on duality in nonlinear programming. Generalizations of convex functions to pseudoconvex and quasiconvex functions are given and then used to obtain generalized optimality conditions and duality results in the presence of nonlinear equality constraints. The book has four useful self-contained appendices on vectors and matrices, topological properties of n-dimensional real space, continuity and minimization, and differentiable functions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNonlinear programming. aDuality aEquality constraints aConcave functions aConvex functions aKuhn-Tucker aOptimality2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713412z9780898713411w(DLC) 94036844 0aClassics in applied mathematics ;v10.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl1004167nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820018003031000021003212450116003422600140004583000058005984900041006565000068006975040064007655050498008295060072013275201693013995300037030925380036031295380047031655880048032126500027032606530019032876530032033066530018033386530031033566530010033877000024033977100052034217760065034738300042035388560081035809781611971262SIAM20110503173941.0m eo d cr bn |||m|||a110427s1994 paua ob 001 0 eng d z 94037449 a9781611971262 (electronic bk.) z0898713218 (pbk.) z9780898713213 (pbk.)50aCL09bSIAM a(CaBNVSL)gtp00547348 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA188b.B47 1994eb04a512.9/4342201 aBerman, Abraham.10aNonnegative matrices in the mathematical sciencesh[electronic resource] /cAbraham Berman, Robert J. Plemmons. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (xx, 340 p.) :bill., digital file.1 aClassics in applied mathematics ;v9 aRevised, with supplementary material added in a new Chapter 11. aIncludes bibliographical references (p. 315-336) and index.0 aChapter 1. Matrices which leave a cone invariant -- Chapter 2. Nonnegative matrices -- Chapter 3. Semigroups of nonnegative matrices -- Chapter 4. Symmetric nonnegative matrices -- Chapter 5. Generalized inverse- positivity -- Chapter 6. M-matrices -- Chapter 7. Iterative methods for linear systems -- Chapter 8. Finite Markov chains -- Chapter 9. Input-output analysis in economics -- Chapter 10. The linear complementarity problem -- Chapter 11. Supplement 1979-1993 -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aHere is a valuable text and research tool for scientists and engineers who use or work with theory and computation associated with practical problems relating to Markov chains and queuing networks, economic analysis, or mathematical programming. Originally published in 1979, this new edition adds material that updates the subject relative to developments from 1979 to 1993. Theory and applications of nonnegative matrices are blended here, and extensive references are included in each area. You will be led from the theory of positive operators via the Perron-Frobenius theory of nonnegative matrices and the theory of inverse positivity, to the widely used topic of M-matrices. On the way, semigroups of nonnegative matrices and symmetric nonnegative matrices are discussed. Later, applications of nonnegativity and M-matrices are given; for numerical analysis the example is convergence theory of iterative methods, for probability and statistics the examples are finite Markov chains and queuing network models, for mathematical economics the example is input-output models, and for mathematical programming the example is the linear complementarity problem. Nonnegativity constraints arise very naturally throughout the physical world. Engineers, applied mathematicians, and scientists who encounter nonnegativity or generalizations of nonegativity in their work will benefit from topics covered here, connecting them to relevant theory. Researchers in one area, such as queuing theory, may find useful the techniques involving nonnegative matrices used by researchers in another area, say, mathematical programming. Exercises and biographical notes are included with each chapter. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNon-negative matrices. aSemiconvergent aLeontief input-output model aMarkov chains aInverse Eigenvalue problem aCones1 aPlemmons, Robert J.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713218z9780898713213w(DLC) 94037449 0aClassics in applied mathematics ;v9.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0903843nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000034003202450092003542600140004463000054005864900041006405000050006815040053007315050633007845060072014175201165014895300037026545380036026915380047027275880048027746500025028226530015028476530027028626530014028896530016029036530014029196530014029336530017029476530019029646530021029837000045030047100052030497760065031018300042031668560081032089781611971279SIAM20110503173925.0m eo d cr bn |||m|||a110426s1992 pau ob 001 0 eng d z 92029086 a9781611971279 (electronic bk.) z0898713048 (pbk.) z9780898713046 (pbk.)50aCL08bSIAM a(CaBNVSL)gtp00547347 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA431b.B34 1992eb04a515/.6252201 aBellman, Richard,d1920-1984.13aAn introduction to invariant imbeddingh[electronic resource] /cR. Bellman, G.M. Wing. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (xvii, 248 p.) :bdigital file.1 aClassics in applied mathematics ;v8 aOriginally published: New York : Wiley, 1975. aIncludes bibliographical references and indexes.0 aChapter 1. Fundamental concepts -- Chapter 2. Additional illustrations of the invariant imbedding method -- Chapter 3. Functional equations and related matters -- Chapter 4. Existence, uniqueness, and conservation relations -- Chapter 5. Random walk -- Chapter 6. Wave propagation -- Chapter 7. Time-dependent problems -- Chapter 8. The calculation of Eigenvalues for Sturm-Liouville type systems -- Chapter 9. Schrodinger-like equations -- Chapter 10. Applications to equations with periodic coefficients -- Chapter 11. Transport theory and radiative transfer -- Chapter 12. Integral equations -- Author index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aHere is a book that provides the classical foundations of invariant imbedding, a concept that provided the first indication of the connection between transport theory and the Riccati Equation. The reprinting of this classic volume was prompted by a revival of interest in the subject area because of its uses for inverse problems. The major part of the book consists of applications of the invariant imbedding method to specific areas that are of interest to engineers, physicists, applied mathematicians, and numerical analysts. A large set of problems can be found at the end of each chapter. Numerous problems on apparently disparate matters such as Riccati equations, continued fractions, functional equations, and Laplace transforms are included. The exercises present the reader with "real-life" situations. The material is accessible to a general audience, however, the authors do not hesitate to state, and even to prove, a rigorous theorem when one is available. To keep the original flavor of the book, very few changes were made to the manuscript; typographical errors were corrected and slight changes in word order were made to reduce ambiguities. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aInvariant imbedding. aReflection aDifferential equations aImbedding aEigenvalues aParticles aTransport aTransmission aTime dependent aTime independent1 aWing, G. Miltonq(George Milton),d1923-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713048z9780898713046w(DLC) 92029086 0aClassics in applied mathematics ;v8.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0803545nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820014003041000018003182450055003362600140003913000060005314900041005915000122006325040064007545050860008185060072016785200739017505300037024895380036025265380047025625880048026096500019026576530025026766530019027016530018027206530030027386530015027686530016027837100052027997760065028518300042029168560081029589781611971286SIAM20110503173957.0m eo d cr bn |||m|||a110427s1992 paua ob 001 0 eng d z 92001381 a9781611971286 (electronic bk.) z0898712963 (pbk.) z9780898712964 (pbk.)50aCL07bSIAM a(CaBNVSL)gtp00547346 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA273b.B864 1992eb04a519.22201 aBreiman, Leo.10aProbabilityh[electronic resource] /cLeo Breiman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (xiii, 421 p.) :bill., digital file.1 aClassics in applied mathematics ;v7 aOriginally published: Reading, Mass. : Addison-Wesley Pub. Co., 1968, in series: Addison-Wesley series in statistics. aIncludes bibliographical references (p. 405-411) and index.0 aChapter 1. Introduction -- Chapter 2. Mathematical framework -- Chapter 3. Independence -- Chapter 4. Conditional probability and conditional expectation -- Chapter 5. Martingales -- Chapter 6. Stationary processes and the Ergodic theorem -- Chapter 7. Markov chains -- Chapter 8. Convergence in distribution and the tools thereof -- Chapter 9. The one-dimensional central limit problem -- Chapter 10. The renewal theorem and local limit theorem -- Chapter 11. Multidimensional central limit theorem and Gaussian processes -- Chapter 12. Stochastic processes and Brownian motion -- Chapter 13. Invariance theorems -- Chapter 14. Martingales and processes with stationary, independent increments -- Chapter 15. Markov processes, introduction and pure jump case -- Chapter 16. Diffusions -- Appendix. On measure and function theory -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aWell known for the clear, inductive nature of its exposition, this reprint volume is an excellent introduction to mathematical probability theory. It may be used as a graduate-level text in one- or two-semester courses in probability for students who are familiar with basic measure theory, or as a supplement in courses in stochastic processes or mathematical statistics. Designed around the needs of the student, this book achieves readability and clarity by giving the most important results in each area while not dwelling on any one subject. Each new idea or concept is introduced from an intuitive, common-sense point of view. Students are helped to understand why things work, instead of being given a dry theorem-proof regime. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aProbabilities. aStationary processes aStopping times aMarkov chains aInfinitely divisible laws aErgodicity aConvergence2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712963z9780898712964w(DLC) 92001381 0aClassics in applied mathematics ;v7.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0703021nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000023003192450098003422600140004403000057005804900041006375000069006785040051007475050605007985060072014035200438014755300037019135380036019505380047019865880048020336500028020816530023021096530017021326530027021496530022021766530022021986530022022207000021022427100052022637760065023158300042023808560081024229781611971293SIAM20110503173953.0m eo d cr bn |||m|||a110427s1991 paua ob 001 0 eng d z 91002642 a9781611971293 (electronic bk.) z0898712653 (pbk.) z9780898712650 (pbk.)50aCL06bSIAM a(CaBNVSL)gtp00547345 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372b.C33 1991eb04a515/.352201 aCarrier, George F.10aOrdinary differential equationsh[electronic resource] /cGeorge F. Carrier, Carl E. Pearson. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1991. a1 electronic text (x, 220 p.) :bill., digital file.1 aClassics in applied mathematics ;v6 aOriginally published: Waltham, Mass. : Blaisdell Pub. Co., 1968. aIncludes bibliographical references and index.0 aIntroduction -- First-order linear differential equations -- Second-order differential equations -- Power- series descriptions -- The Wronskian -- Eigenvalue problems -- The second-order linear nonhomogeneous equation -- Expansions in Eigenfunctions -- The perturbation expansion -- Asymptotic series -- Special functions -- The Laplace transform -- Rudiments of the variational calculus -- Separation of variables and product series solutions of partial differential equations -- Nonlinear differential equations -- More on difference equations -- Numerical methods -- Singular perturbation methods.1 aRestricted to subscribers or individual electronic text purchasers.3 aOffers an alternative to the "rote" approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations. aFirst-order linear aSecond-order aDifferential equations aLaplace transform aNumerical methods aAsymptotic series1 aPearson, Carl E.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712653z9780898712650w(DLC) 91002642 0aClassics in applied mathematics ;v6.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0602770nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820014003051000021003192450079003402600140004193000059005594900041006185000059006595040064007185050258007825060072010405200621011125300037017335380036017705380047018065880048018536500028019016530029019296530020019586530020019786530020019986530018020187100052020367760065020888300042021538560081021959781611971309SIAM20110503173951.0m eo d cr bn |||m|||a110427s1990 paua ob 001 0 eng d z 90035113 a9781611971309 (electronic bk.) z0898712564 (pbk.) z9780898712568 (pbk.)50aCL05bSIAM a(CaBNVSL)gtp00547344 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.C53 1990eb04a519.32201 aClarke, Frank H.10aOptimization and nonsmooth analysish[electronic resource] /cF.H. Clarke. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (xii, 308 p.) :bill., digital file.1 aClassics in applied mathematics ;v5 aReprint. Originally published: New York : Wiley, 1983. aIncludes bibliographical references (p. 291-301) and index.0 aChapter 1. Introduction and preview -- Chapter 2. Generalized gradients -- Chapter 3. Differential inclusions -- Chapter 4. The calculus of variations -- Chapter 5. Optimal control -- Chapter 6. Mathematical programming -- Chapter 7. Topics in analysis.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together with a set of associated techniques, has had a profound effect on several branches of analysis and optimization. Clarke then applies these methods to obtain a powerful, unified approach to the analysis of problems in optimal control and mathematical programming. Examples are drawn from economics, engineering, mathematical physics, and various branches of analysis in this reprint volume. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNonsmooth optimization. aMathematical programming aOptimal control aHamilton-Jacobi aValue functions aBolza problem2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712564z9780898712568w(DLC) 90035113 0aClassics in applied mathematics ;v5.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0503324nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000023003192450143003422600140004853000059006254900041006845000158007255040066008835050479009495060072014285200666015005300037021665380036022035380047022395880048022866500027023346500031023616500016023926530014024086530016024226530011024386530021024496530029024706530019024997000024025187100052025427760065025948300042026598560081027019781611971316SIAM20110503173937.0m eo d cr bn |||m|||a110427r1990 paua ob 001 0 eng d z 90009658 a9781611971316 (electronic bk.) z0898712548 (pbk.) z9780898712544 (pbk.)50aCL04bSIAM a(CaBNVSL)gtp00547343 aCaBNVSLcCaBNVSLdCaBNVSL 4aT57.8b.F54 1990eb04a519.7/62201 aFiacco, Anthony V.10aNonlinear programmingh[electronic resource] :bsequential unconstrained minimization techniques /cAnthony V. Fiacco, Garth P. McCormick. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (xvi, 210 p.) :bill., digital file.1 aClassics in applied mathematics ;v4 a"This SIAM edition is an unabridged, corrected republication of the work first published by Research Analysis Corporation, McLean, Virginia"--T.p. verso. aIncludes bibliographical references (p. 196-201) and indexes.0 aChapter 1. Introduction -- Chapter 2. Mathematical programming theory -- Chapter 3. Interior point unconstrained minimization techniques -- Chapter 4. Exterior point unconstrained minimization techniques -- Chapter 5. Extrapolation in unconstrained minimization techniques -- Chapter 6. Convex programming -- Chapter 7. Other unconstrained minimization techniques -- Chapter 8. Computational aspects of unconstrained minimization algorithms -- Author index -- Subject index.1 aRestricted to subscribers or individual electronic text purchasers.3 aRecent interest in interior point methods generated by Karmarkar's Projective Scaling Algorithm has created a new demand for this book because the methods that have followed from Karmarkar's bear a close resemblance to those described. There is no other source for the theoretical background of the logarithmic barrier function and other classical penalty functions. Analyzes in detail the "central" or "dual" trajectory used by modern path following and primal/dual methods for convex and general linear programming. As researchers begin to extend these methods to convex and general nonlinear programming problems, this book will become indispensable to them. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNonlinear programming. 0aMathematical optimization. 0aAlgorithms. aNonlinear aProgramming aConvex aCourant function aInverse penalty function aGlobal minimum1 aMcCormick, Garth P.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712548z9780898712544w(DLC) 90009658 0aClassics in applied mathematics ;v4.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0402720nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630280015001850350025002000400030002250500023002550820014002781000029002922450085003212600140004063000060005464900041006065040060006475050590007075060072012975200353013695300037017225380036017595380047017955880048018426500024018906530017019146530016019316530020019476530015019676530028019827100052020107760065020628300042021278560081021699781611971323SIAM20110503173943.0m eo d cr bn |||m|||a891108s1990 paua ob 001 0 eng d z 89048562 a9781611971323 (electronic bk.) z0898712505 (pbk.)50aCL03bSIAM a(CaBNVSL)gtp00547342 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297b.O78 1990eb04a519.42201 aOrtega, James M.,d1932-10aNumerical analysish[electronic resource] :ba second course /cJames M. Ortega. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (xiii, 201 p.) :bill., digital file.1 aClassics in applied mathematics ;v3 aIncludes bibliographical references (p. 195) and index.0 aIntroduction -- Chapter 1: Linear algebra -- Part I: Mathematical stability and ill conditioning. Chapter 2: Systems of linear algebraic equations; Chapter 3; Chapter 4: Differential and difference equations -- Part II: Discretization error. Chapter 5: Discretization error for initial problems; Chapter 6: Discretization error for boundary value problems -- Part III: Convergence of iterative methods. Chapter 7: Systems of linear equations; Chapter 8: Systems of nonlinear equations -- Part IV: Rounding error. Chapter 9: Rounding error for Gaussian elimination; Bibliography; Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book addresses some of the basic questions in numerical analysis: convergence theorems for iterative methods for both linear and nonlinear equations; discretization error, especially for ordinary differential equations; rounding error analysis; sensitivity of eigenvalues; and solutions of linear equations with respect to changes in the data. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNumerical analysis. aEigenvectors aHouseholder aNewton's Method aSOR Method aBoundary value problems2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712505z9780898712506w(DLC) 89048562 0aClassics in applied mathematics ;v3.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0302875nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000028003192450153003472600140005003000057006404900041006975040054007385050115007925060072009075200884009795300037018635380036019005380047019365880048019836500016020316500018020476530017020656530012020826530031020947000028021257100052021537760065022058300042022708560081023129781611971330SIAM20110503174009.0m eo d cr bn |||m|||a110426t19891972paua ob 000 0 eng d z 89019699 a9781611971330 (electronic bk.) z0898712432 (pbk.) z9780898712438 (pbk.)50aCL02bSIAM a(CaBNVSL)gtp00547341 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA387b.B43 1989eb04a512/.552201 aBelinfante, Johan G. F.12aA survey of Lie groups and Lie algebras with applications and computational methodsh[electronic resource] /cJohan G.F. Belinfante, Bernard Kolman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (x, 164 p.) :bill., digital file.1 aClassics in applied mathematics ;v2 aIncludes bibliographical references (p. 149-158).0 aChapter 1. Lie groups and Lie algebras -- Chapter 2. Representation theory -- Chapter 3. Constructive methods.1 aRestricted to subscribers or individual electronic text purchasers.3 aIntroduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aLie groups. 0aLie algebras. aLie algebras aTensors aClebsch-Gordan coefficient1 aKolman, Bernard,d1932-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712432z9780898712438w(DLC) 89019699 0aClassics in applied mathematics ;v2.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0205952nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820012003041000038003162450170003542600140005243000059006644900046007235000131007695040066009005051113009665051246020795050914033255060072042395200599043115300037049105380036049475380047049835880048050306500017050786530021050956530012051166530024051286530024051527000018051767100052051947760065052468300042053118560081053539781611971347SIAM20110503173935.0m eo d cr bn |||m|||a110426s1988 paua ob 001 0 eng d z 88062304 a9781611971347 (electronic bk.) z0898712297 (pbk.) z9780898712292 (pbk.)50aCL01bSIAM a(CaBNVSL)gtp00547340 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA37.2b.L55 1988eb04a5102201 aLin, C. C.q(Chia-chiao),d1916-10aMathematics applied to deterministic problems in the natural sciencesh[electronic resource] /cC.C. Lin, L.A. Segel ; with material on elasticity by G.H. Handelman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1988. a1 electronic text (xxi, 609 p.) :bill., digital file.1 aClassics in applied mathematics ;vvol. 1 a"Unabridged, corrected republication of the work first published by the Macmillan Publishing Co., New York, 1974"--T.p. verso. aIncludes bibliographical references (p. 589-596) and indexes.0 aPart A: An overview of the interaction of mathematics and natural science. Chapter 1: What is applied mathematics: On the nature of applied mathematics; Introduction to the analysis of galactic structure; Aggregation of slime mold amebae -- Chapter 2: Deterministic systems and ordinary differential equations: Planetary orbits; Elements of perturbation theory, including Poincare's method for periodic orbits; A system of ordinary differential equations -- Chapter 3: Random processes and partial differential equations: Random walk in one dimension; Langevin's equation; Asymptotic series, Laplace's method, gamma function, Stirling's formula; A difference equation and its limit; Further considerations pertinent to the relationship between probability and partial differential equations -- Chapter 4: Superposition, heat flow, and fourier analysis: Conduction of heat; Fourier's theorem; On the nature of Fourier series; Chapter 5: Further Developments in Fourier Analysis; Other aspects of heat conduction; Sturn-Liouville systems; Brief introduction to Fourier transform; Generalized harmonic analysis.0 aPart B: Some fundamental procedures illustrated on ordinary differential equations. Chapter 6: Simplification, dimensional analysis, and scaling: The basic simplification procedure; Dimensional analysis; Scaling -- Chapter 7: Regular perturbation theory: The series method applied to the simple pendulum; Projectile problem solved by perturbation theory -- Chapter 8: Illustration of techniques on a physiological flow problem: Physical formulation and dimensional analysis of a model for "standing gradient" osmotically driven flow; A mathematical model and its dimensional analysis; Obtaining the final scaled dimensionless form of the mathematical model; Solution and interpretation -- Chapter 9: Introduction to singular perturbation theory: Roots of polynomial equations; Boundary value problems for ordinary differential equations -- Chapter 10: Singular perturbation theory applied to a problem in biochemical kinetics: Formulation of an initial value problem for a one enzyme-one substrate chemical reaction; Approximate solution by singular perturbation methods -- Chapter 11: Three techniques applied to the simple pendulum: Stability of normal and inverted equilibrium of the pendulum; A multiple scale expansion; The phase plane.0 aPart C: Introduction to theories of continuous fields. Chapter 12: Longitudinal motion of a bar: Derivation of the governing equations; One-dimensional elastic wave propagation; Discontinuous solutions; Work, energy, and vibrations -- Chapter 13: The continuous medium: The continuum model; Kinematics of deformable media; the material derivative; The Jacobian and its material derivative -- Chapter 14: Field equations of continuum mechanics: Conservation of mass; Balance of linear momentum; Balance of angular momentum; Energy and entropy; On constitutive equations, covariance; and the continuum model -- Chapter 15: Inviscid fluid flow: Stress in motionless and inviscid fluids; Stability of a stratified fluid; Compression waves in gases; Uniform flow past a circular cylinder -- Chapter 16: Potential theory: Equations of Laplace and Poisson; Green's functions; Diffraction of acoustic waves by a hole.1 aRestricted to subscribers or individual electronic text purchasers.3 aAddresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences. The authors' case studies approach leads to excitement in teaching realistic problems. The many problems and exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers working on fluid mechanics, elasticity, perturbation methods, dimensional analysis, numerical analysis, continuum mechanics and differential equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematics. aNatural sciences aFourier aPerturbation theory aContinuum mechanics1 aSegel, Lee A.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712297z9780898712292w(DLC) 88062304 0aClassics in applied mathematics ;v1.483SIAMuhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl0104415nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820023003031000042003262450094003682600140004623000060006024900069006625000125007315000073008565040064009295050706009935060072016995201445017715300037032165380036032535380047032895880048033366500045033846530024034296530012034536530020034656530022034856530016035076530016035237100051035397100052035907760065036428300070037078560108037779781611970005SIAM20110426135244.0m eo d cr bn |||m|||a110426s1998 paua ob 001 0 eng d z 98019033 a9781611970005 (electronic bk.) z0898714176 (pbk.) z9780898714173 (pbk.)50aCB71bSIAM a(CaBNVSL)gtp00547335 aCaBNVSLcCaBNVSLdCaBNVSL 4aQH352b.C87 1998eb04a577.8/8/0151182211 aCushing, J. M.q(Jim Michael),d1942-13aAn introduction to structured population dynamicsh[electronic resource] /cJ.M. Cushing. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (xiii, 193 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v71 aOutgrowth of a series of lectures given at a conference held at North Carolina University, Raleigh, during June of 1997. a"Sponsored by Conference Board of the Mathematical Sciences"--Cover. aIncludes bibliographical references (p. 171-190) and index.0 aPreface -- Chapter 1: Discrete models. Matrix models; Autonomous single species models; Some applications; A case study; Multispecies interactions -- Chapter 2: Continuous models. Age-structured models; Autonomous age-structured models; Some applications; Multispecies interactions; Other structured models -- Chapter 3: Population level dynamics. Ergodicity and nonlinear models; The linear chain trick; Hierarchical models; Total population size in age-structured models -- Appendix A: Stability theory for maps. Linear maps; Linearization of maps -- Appendix B: Bifurcation theorems. A global bifurcation theorem; Local parameterization -- Appendix C: Miscellaneous proofs -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aInterest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aPopulation biologyxMathematical models. aPopulation dynamics aBiology aDiscrete models aContinuous models aBifurcation aEquilibrium2 aConference Board of the Mathematical Sciences.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714176z9780898714173w(DLC) 98019033 0aCBMS-NSF regional conference series in applied mathematics ;v71.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb7104261nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000026003192450103003452500012004482600140004603000052006004900069006525040064007215051470007855060072022555200714023275300037030415380036030785380047031145880048031616500046032096500041032556500041032966530024033376530024033616530025033856530019034106530019034297100052034487760065035008300070035658560108036359781611970012SIAM20110426135311.0m eo d cr bn |||m|||a110425s1998 pau ob 001 0 eng d z 98027321 a9781611970012 (electronic bk.) z089871415X (pbk.) z9780898714159 (pbk.)50aCB70bSIAM a(CaBNVSL)gtp00547334 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA214b.R44 1998eb04a512.9/42211 aRheinboldt, Werner C.10aMethods for solving systems of nonlinear equationsh[electronic resource] /cWerner C. Rheinboldt. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1998. a1 electronic text (ix, 148 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v70 aIncludes bibliographical references (p. 130-141) and index.0 aPreface to the Second edition -- Preface to the First edition -- Chapter 1: Introduction. Problem overview; Notation and background -- Chapter 2: Model problems. Discretization of operator equations; Minimization; Discrete problems -- Chapter 3: Iterative processes and rates of convergence. Characterization of iterative processes; Rates of convergence; Evaluation of convergence rates; On efficiency and accuracy -- Chapter 4: Methods of Newton type. The linearization concept; Methods of Newton form; Discretized Newton methods; Attraction basins -- Chapter 5: Methods of Secant type. General Secant methods; Consistent approximations; Update methods -- Chapter 6: Combinations of processes. The use of classical linear methods; Nonlinear SOR methods; Residual convergence controls; Inexact Newton methods -- Chapter 7: Parametrized systems of equations. Submanifolds of Rn; Continuation using ODEs; Continuation with local parametrizations; Simplicial approximations of manifolds -- Chapter 8: Unconstrained minimization methods. Admissible step length algorithms; Gradient related methods; Collectively gradient related directions; Trust region methods -- Chapter 9: Nonlinear generalizations of several matrix classes. Basic function classes; Properties of the function classes; Convergence of iterative processes -- Chapter 10: Outlook at further methods. Higher order methods; Piecewise-linear methods; Further minimization methods -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis second edition provides much-needed updates to the original volume. Like the first edition, it emphasizes the ideas behind the algorithms as well as their theoretical foundations and properties, rather than focusing strictly on computational details; at the same time, this new version is now largely self-contained and includes essential proofs. Additions have been made to almost every chapter, including an introduction to the theory of inexact Newton methods, a basic theory of continuation methods in the setting of differentiable manifolds, and an expanded discussion of minimization methods. New information on parametrized equations and continuation incorporates research since the first edition. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aEquations, SimultaneousxData processing. 0aNonlinear theoriesxData processing. 0aNumerical analysisxData processing. aNonlinear equations aIterative processes aRates of convergence aNewton methods aSecant methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871415Xz9780898714159w(DLC) 98027321 0aCBMS-NSF regional conference series in applied mathematics ;v70.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb7005449nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820014003061000024003202450099003442600140004433000060005834900069006435040064007125051392007765050794021685060072029625201250030345300037042845380036043215380047043575880048044046500019044526500032044716530016045036530031045196530023045506530022045736530018045956530023046137100052046367760065046888300070047538560108048239781611970029SIAM20110426135338.0m eo d cr bn |||m|||a110426s1997 paua ob 001 0 eng d z 96042685 a9781611970029 (electronic bk.) z0898713803 (pbk.) z9780898713800 (pbk.)50aCB69bSIAM a(CaBNVSL)gtp00547333 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA273.45b.S74 1997eb04a519.72201 aSteele, J. Michael.10aProbability theory and combinatorial optimizationh[electronic resource] /cJ. Michael Steele. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1997. a1 electronic text (viii, 159 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v69 aIncludes bibliographical references (p. 143-155) and index.0 aPreface -- Chapter 1: First view of problems and methods. A first example: Long common subsequences; Subadditivity and expected values; Azuma's inequality and a first application; A second example: The increasing-subsequence problem; Flipping Azuma's inequality; Concentration on rates; Dynamic programming; Kingman's subadditive ergodic theorem; Observations on subadditive subsequences; Additional notes -- Chapter 2: Concentration of measure and the classical theorems. The TSP and quick application of Azuma's inequality; Easy size bounds; Another mean Poissonization; The Beardwood-Halton-Hammersly theorem; Karp's partitioning algorithms; Introduction to space-filling curve heuristic; Asymptotics for the space-filling curve heuristic; Additional notes -- Chapter 3: More general methods. Subadditive Euclidean functionals; Examples: Good, bad and forthcoming; A general L-(infinity) bound; Simple subadditivity and geometric subadditivity; A concentration inequality; Minimal matching; Two-sided bounds and first consequences; Rooted duals and their applications; Lower bounds and best possibilities; Additional remarks -- Chapter 4: Probability in Greedy algorithms and linear programming. Assignment problem; Simplex method for theoreticians; Dyer-Frieze-McDiarmid inequality; Dealing with integral constraints; Distributional bounds; Back to the future; Additional remarks -- 0 aChapter 5: Distributional Techniques and the Objective Method. Motivation for a method; Searching for a candidate object; Topology for nice sets; Information on the infinite tree; Denoument; Central limit theory; Conditioning method for independence; Dependency graphs and the CLT; Additional remarks -- Chapter 6: Talagrand's isoperimetric theory. Talagrand's isoperimetric theory; Two geometric applications of the isoperimetric inequality; Application to the longest-increasing-subsequence problem; Proof of the isoperimetric problem; Application and comparison in the theory of hereditary sets; Suprema of linear functionals; Tail of the assignment problem; Further applications of Talagrand's isoperimetric inequalities; Final considerations on related work -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis monograph provides an introduction to the state of the art of the probability theory that is most directly applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings. Still, there are several nongeometric optimization problems that receive full treatment, and these include the problems of the longest common subsequence and the longest increasing subsequence. The philosophy that guides the exposition is that analysis of concrete problems is the most effective way to explain even the most general methods or abstract principles. There are three fundamental probabilistic themes that are examined through our concrete investigations. First, there is a systematic exploitation of martingales. The second theme that is explored is the systematic use of subadditivity of several flavors, ranging from the naive subadditivity of real sequences to the subtler subadditivity of stochastic processes. The third and deepest theme developed here concerns the application of Talagrand's isoperimetric theory of concentration inequalities. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aProbabilities. 0aCombinatorial optimization. aProbability aCombinatorial optimization aObjective function aStochastic models aSubadditivity aTalagrand's theory2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713803z9780898713800w(DLC) 96042685 0aCBMS-NSF regional conference series in applied mathematics ;v69.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6903619nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820014003031000020003172450076003372500012004132600140004253000057005654900069006225040052006915051156007435060072018995200472019715300037024435380036024805380047025165880048025636500023026116500038026346530015026726530030026876530028027176530015027456530023027606530023027837100052028067760065028588300070029238560108029939781611970036SIAM20110426135344.0m eo d cr bn |||m|||a110426s1996 paua ob 000 0 eng d z 96036142 a9781611970036 (electronic bk.) z089871379X (pbk.) z9780898713794 (pbk.)50aCB68bSIAM a(CaBNVSL)gtp00547332 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA276b.H78 1996eb04a519.52201 aHuber, Peter J.10aRobust statistical proceduresh[electronic resource] /cPeter J. Huber. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (ix, 67 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v68 aIncludes bibliographical references (p. 65-67).0 aPreface to the Second Edition -- Preface to the First Edition -- Chapter 1. Background. Why robust procedures? -- Chapter 2. Qualitative and quantitative robustness. Qualitative robustness; Quantitative robustness, breakdown; Infinitesimal robustness, influence function -- Chapter 3. M-,L-, and R-estimates. M-estimates; L-estimates; R-estimates; Asymptotic properties of M-estimates; Asymptotically efficient M-, L-, R-estimates; Scaling question -- Chapter 4. Asymptotic Minimax theory. Minimax asymptotic bias; Minimax asymptotic variance -- Chapter 5. Multiparameter problems. Generalities; Regression; Robust covariances: the affinely invariant case; Robust covariances: the coordinate dependent case -- Chapter 6. Finite sample Minimax theory. Robust tests and capacities; Finite sample minimax estimation -- Chapter 7. Adaptive estimates. Adaptive estimates -- Chapter 8. Robustness: Where are we now? The first ten years; Influence functions and psuedovalues; Breakdown and outlier detection; Studentizing; Shrinking neighborhoods; Design; Regression; Multivariate problems; Some persistent misunderstandings; Future directions -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aHere is a brief, well-organized, and easy-to-follow introduction and overview of robust statistics. Huber focuses primarily on the important and clearly understood case of distribution robustness, where the shape of the true underlying distribution deviates slightly from the assumed model (usually the Gaussian law). An additional chapter on recent developments in robustness has been added and the reference list has been expanded and updated from the 1977 edition. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aRobust statistics. 0aDistribution (Probability theory) aRobustness aAsymptotic minimax theory aMultiparameter problems aRegression aRobust covariances aAdaptive estimates2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871379Xz9780898713794w(DLC) 96036142 0aCBMS-NSF regional conference series in applied mathematics ;v68.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6804566nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500029002800820016003091000026003252450073003512600140004243000059005644900069006235000073006925000055007655040062008205050706008825060072015885201718016605300037033785380036034155380047034515880048034986500038035466500019035846530029036036530015036326530016036477100051036637100039037147100052037537760065038058300070038708560108039409781611970043SIAM20110426135336.0m eo d cr bn |||m|||a110426s1996 paua ob 001 0 eng d z 96018757 a9781611970043 (electronic bk.) z0898713730 (pbk.) z9780898713732 (pbk.)50aCB67bSIAM a(CaBNVSL)gtp00547331 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.76.E95bS486 1996eb04a006.3/32201 aShafer, Glenn,d1946-10aProbabilistic expert systemsh[electronic resource] /cGlenn Shafer. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1996. a1 electronic text (viii, 80 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v67 a"Sponsored by Conference Board of the Mathematical Sciences"--Cover. a"Supported by National Science Foundation"--Cover. aIncludes bibliographical references (p. 69-77) and index.0 aPreface -- Chapter 1. Multivariate probability. Probability distributions; Marginalization; Conditionals; Continuation; Posterior distributions; Expectation; Classifying probability Distributions; A limitation -- Chapter 2. Construction sequences. Multiplying conditionals; DAGs and belief nets; Bubble graphs; Other graphical representations -- Chapter 3. Propagation in join trees. Variable-by-variable summing out; The elementary architecture; The Shafer-Shenoy architecture; The Lauritzen-Spiegelhalter architecture; The Aalborg architecture; COLLECT and DISTRIBUTE; Scope and alternatives -- Chapter 4. Resources and references. Meetings; Software; Books; Review articles; Other sources -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aProbabilistic Expert Systems emphasizes the basic computational principles that make probabilistic reasoning feasible in expert systems. The key to computation in these systems is the modularity of the probabilistic model. Shafer describes and compares the principal architectures for exploiting this modularity in the computation of prior and posterior probabilities. He also indicates how these similar yet different architectures apply to a wide variety of other problems of recursive computation in applied mathematics and operations research. The field of probabilistic expert systems has continued to flourish since the author delivered his lectures on the topic in June 1992, but the understanding of join-tree architectures has remained missing from the literature. This monograph fills this void by providing an analysis of join-tree methods for the computation of prior and posterior probabilities in belief nets. These methods, pioneered in the mid to late 1980s, continue to be central to the theory and practice of probabilistic expert systems. In addition to purely probabilistic expert systems, join-tree methods are also used in expert systems based on Dempster-Shafer belief functions or on possibility measures. Variations are also used for computation in relational databases, in linear optimization, and in constraint satisfaction. This book describes probabilistic expert systems in a more rigorous and focused way than existing literature, and provides an annotated bibliography that includes pointers to conferences and software. Also included are exercises that will help the reader begin to explore the problem of generalizing from probability to broader domains of recursive computation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aExpert systems (Computer science) 0aProbabilities. aMultivariate probability aJoin trees aPropagation2 aConference Board of the Mathematical Sciences.2 aNational Science Foundation (U.S.)2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713730z9780898713732w(DLC) 96018757 0aCBMS-NSF regional conference series in applied mathematics ;v67.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6704651nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820026003031000018003292450101003472500012004482600140004603000059006004900069006595040054007285050054007825050559008365050300013955050309016955060072020045201331020765300037034075380036034445380047034805880048035276500020035756500050035956500035036456530028036806530034037086530015037426530022037576530023037797100052038027760065038548300070039198560108039899781611970050SIAM20110426135321.0m eo d cr bn |||m|||a941123s1995 paua ob 000 0 eng d z 94043733 a9781611970050 (electronic bk.) z0898713404 (pbk.) z9780898713404 (pbk.)50aCB66bSIAM a(CaBNVSL)gtp00547330 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA911b.T39 1995eb04a532/.051/015153532201 aTemam, Roger.10aNavier-Stokes equations and nonlinear functional analysish[electronic resource] /cRoger Temam. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xiv, 141 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v66 aIncludes bibliographical references (p. 131-141).0 aPreface to the Second Edition -- Introduction -- 0 aPart I: Questions related to the existence, uniqueness and regularity of solutions. Chapter 1: Representation of a flow: The Navier-Stokes equations -- Chapter 2: Functional setting of the equations -- Chapter 3: Existence and uniqueness theorems (mostly classical results) -- Chapter 4: New a priori estimates and applications -- Chapter 5: Regularity and fractional dimension -- Chapter 6: Successive regularity and compatibility conditions at t=0 (bounded case) -- Chapter 7: Analyticity in time -- Chapter 8: Lagrangian representation of the flow -- 0 aPart II: Questions related to stationary solutions and functional invariant sets (attractors). Chapter 9: The Couette-Taylor experiment -- Chapter 10: Stationary solutions of the Navier-Stokes equations -- Chapter 11: The squeezing property -- Chapter 12: Hausdorff dimension of an attractor -- 0 aPart III: Questions related to the numerical approximation. Chapter 13: Finite time approximation -- Chapter 14: Long time approximation of the Navier-Stokes equations -- Appendix: Inertial manifolds and Navier-Stokes equations -- Comments and bibliography -- Update for the Second Edition -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds. Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier-Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite-dimensional one called the inertial system. Although the theory of inertial manifolds for Navier-Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aFluid dynamics. 0aNavier-Stokes equationsxNumerical solutions. 0aNonlinear functional analysis. aNavier-Stokes equations aNonlinear functional analysis aTurbulence aDynamical systems aInertial manifolds2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713404z9780898713404w(DLC) 94043733 0aCBMS-NSF regional conference series in applied mathematics ;v66.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6603424nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000026003202450095003462600140004413000058005814900069006395040051007085050272007595060072010315201163011035300037022665380036023035380047023395880048023866500057024346500047024916530023025386530021025616530025025826530016026076530012026237100052026357760065026878300070027528560108028229781611970067SIAM20110426135258.0m eo d cr bn |||m|||a110426s1995 paua ob 101 0 eng d z 94010478 a9781611970067 (electronic bk.) z0898713315 (pbk.) z9780898713312 (pbk.)50aCB65bSIAM a(CaBNVSL)gtp00547329 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA565b.M67 1995eb04a516.3/522201 aMicchelli, Charles A.10aMathematical aspects of geometric modelingh[electronic resource] /cCharles A. Micchelli. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (ix, 256 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v65 aIncludes bibliographical references and index.0 aPreface -- A brief overview -- Chapter 1. Matrix subdivision -- Chapter 2. Stationary subdivision -- Chapter 3. Piecewise polynomial curves -- Chapter 4. Geometric methods for piecewise polynomial surfaces -- Chapter 5. Recursive algorithms for polynomial evaluation.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with complex analytic structure. In the first three chapters, the de Casteljau subdivision for Bernstein-Bezier curves is used to introduce matrix subdivision, and the Lane-Riesenfield algorithm for computing cardinal splines is tied into stationary subdivision. This ultimately leads to the construction of prewavelets of compact support. The remainder of the book deals with concepts of "visual smoothness" of curves, along with the intriguing idea of generating smooth multivariate piecewise polynomials as volumes of "slices" of polyhedra. The final chapter contains an evaluation of polynomials by finite recursive algorithms. Each chapter contains introductory material as well as more advanced results. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCurves on surfacesxMathematical modelsvCongresses. 0aSurfacesxMathematical modelsvCongresses. aGeometric modeling aGeometric design aPiecewise polynomial aSubdivision aSplines2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713315z9780898713312w(DLC) 94010478 0aCBMS-NSF regional conference series in applied mathematics ;v65.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6503422nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820015003031000021003182450085003392500012004242600140004363000057005764900069006335040051007025050309007535060072010625201125011345300037022595380036022965380047023325880048023796500028024276500019024556530025024746530020024996530018025196530024025376530024025616530024025857100052026097760065026618300070027268560108027969781611970074SIAM20110426135407.0m eo d cr bn |||m|||a110426s1994 paua ob 001 0 eng d z 93040332 a9781611970074 (electronic bk.) z0898713250 (pbk.) z9780898713251 (pbk.)50aCB64bSIAM a(CaBNVSL)gtp00547328 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA164b.S64 1994eb04a511/.62201 aSpencer, Joel H.10aTen lectures on the probabilistic methodh[electronic resource] /cJoel Spencer. a2nd ed. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1994. a1 electronic text (vi, 88 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v64 aIncludes bibliographical references and index.0 aThe probabilistic method -- The deletion method and other refinements -- Random graphs I -- Large deviations and nonprobabilistic algorithms -- Discrepancy I -- Chaos from order -- Random graphs II -- The Lovasz local lemma -- Discrepancy II -- Six standard deviations suffice -- The Janson inequalities.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCombinatorial analysis. 0aProbabilities. aProbabilistic method aDeletion method aRandom graphs aLovasz local lemma aStandard deviations aJanson inequalities2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713250z9780898713251w(DLC) 93040332 0aCBMS-NSF regional conference series in applied mathematics ;v64.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6403866nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000033003202450106003532600140004593000058005994900069006575000219007265040064009455050677010095060072016865201054017585300037028125380036028495380047028855880048029326500036029806500042030166530024030586530019030827100052031017760065031538300070032188560108032889781611970081SIAM20110426135342.0m eo d cr bn |||m|||a110426s1992 paua ob 101 0 eng d z 92012567 a9781611970081 (electronic bk.) z0898712955 (pbk.) z9780898712957 (pbk.)50aCB63bSIAM a(CaBNVSL)gtp00547327 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA298b.N54 1992eb04a519.2/822201 aNiederreiter, Harald,d1944-10aRandom number generation and quasi-Monte Carlo methodsh[electronic resource] /cHarald Niederreiter. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (vi, 241 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v63 aAuthor's expanded lecture notes from his talks at the NSF-CBMS Regional Research Conference on Random Number Generation and Quasi-Monte Carlo Methods held at the University of Alaska at Fairbanks, Aug. 13-17, 1990. aIncludes bibliographical references (p. 223-237) and index.0 aPreface -- Chapter 1. Monte Carlo methods and quasi-Monte Carlo methods -- Chapter 2. Quasi-Monte Carlo methods for numerical integration -- Chapter 3. Low-discrepancy point sets and sequences -- Chapter 4. Nets and (t,s)-sequences -- Chapter 5. Lattice rules for numerical integration -- Chapter 6. Quasi- Monte Carlo methods for optimization -- Chapter 7. Random numbers and pseudorandom numbers -- Chapter 8. Nonlinear congruential pseudorandom numbers -- Chapter 9. Shift-register pseudorandom numbers -- Chapter 10. Pseudorandom vector generation -- Appendix A. Finite fields and linear recurring sequences -- Appendix B. Continued fractions -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aTremendous progress has taken place in the related areas of uniform pseudorandom number generation and quasi-Monte Carlo methods in the last five years. This volume contains recent important work in these two areas, and stresses the interplay between them. Some developments contained here have never before appeared in book form. Includes the discussion of the integrated treatment of pseudorandom numbers and quasi-Monte Carlo methods; the systematic development of the theory of lattice rules and the theory of nets and (t,s)-sequences; the construction of new and better low-discrepancy point sets and sequences; Nonlinear congruential methods; the initiation of a systematic study of methods for pseudorandom vector generation; and shift-register pseudorandom numbers. Based on a series of 10 lectures presented by the author at a CBMS-NSF Regional Conference at the University of Alaska at Fairbanks in 1990 to a selected group of researchers, this volume includes background material to make the information more accessible to nonspecialists. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMonte Carlo methodvCongresses. 0aRandom number generatorsvCongresses. aMonte Carlo methods aRandom numbers2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712955z9780898712957w(DLC) 92012567 0aCBMS-NSF regional conference series in applied mathematics ;v63.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6303868nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000048003202450117003682600140004853000058006254900069006835040051007525051111008035060072019145200629019865300037026155380036026525380047026885880048027356500058027836500043028416530035028846530033029196530021029526530040029736530012030136530042030257100052030677760065031198300070031848560108032549781611970098SIAM20110426135315.0m eo d cr bn |||m|||a911113s1992 paua ob 001 0 eng d z 91039536 a9781611970098 (electronic bk.) z0898712920 (pbk.) z9780898712926 (pbk.)50aCB62bSIAM a(CaBNVSL)gtp00547326 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.M32 1992eb04a515/.3532201 aMcCormick, S. F.q(Stephen Fahrney),d1944-10aMultilevel projection methods for partial differential equationsh[electronic resource] /cStephen F. McCormick. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (vi, 114 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v62 aIncludes bibliographical references and index.0 aChapter 1. Fundamentals. Introduction; Notation and conventions; Prototype problems; Discretization by projections; Realizability and nodal representations; Interlevel transfer matrices; Error measures -- Chapter 2. Multilevel projections methods. Abstract framework: the Multilevel Projection method (PML); The Multigrid method (MG); the Fast Adaptive Composite grid method (FAC); Prototype problems; Relaxation; Coarse-level realizability and recursiveness; Parallelization: Asynchronous FAC (AFAC); Other practical matters; Summary -- Chapter 3. Unigrid. Basic Unigrid scheme; Multgrid simulation; FAC simulation; Performance assessment; Caveats -- Chapter 4. Paradigms. Rayleigh-Ritz 1: parameter estimation; Rayleigh-Ritz 2: transport equations: Galerkin 1: general Eigenvalue problems; Galerkin 2: Riccati equations; Petrov-Galerkin 1: the Finite Volume Element method (FVE); Petrov-Galerkin 2: image reconstruction -- Chapter 5. Perspectives -- References -- Appendix A. Simple Unigrid code -- Appendix B. More efficient Unigrid code -- Appendix C. Modification to Unigrid code for local refinement.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe multilevel projection method is a new formalism that provides a framework for the development of multilevel algorithms in a very general setting. This methodology guides the choices of all the major multilevel processes, including relaxation and coarsening, and it applies directly to global or locally-refined discretizations. This book was developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations in June 1991, and is a supplement to Multilevel Adaptive Methods for Partial Differential Equations, also written by Stephen F. McCormick. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations, PartialxNumerical solutions. 0aMultigrid methods (Numerical analysis) aPartial differential equations aMultilevel projection method aMultigrid method aFast adaptive composite grid method aUnigrid aFinite element discretization methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712920z9780898712926w(DLC) 91039536 0aCBMS-NSF regional conference series in applied mathematics ;v62.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6203471nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820018003051000024003232450074003472460029004212600140004503000059005904900069006495000138007185040066008565050584009225060072015065200684015785300037022625380036022995380047023355880048023826500040024306530013024706530026024836530022025096530011025316530022025426530029025646530022025936530019026157100052026347760065026868300070027518560108028219781611970104SIAM20110426135405.0m eo d cr bn |||m|||a110425s1992 paua ob 101 0 eng d z 92013201 a9781611970104 (electronic bk.) z0898712742 (pbk.) z9780898712742 (pbk.)50aCB61bSIAM a(CaBNVSL)gtp00547325 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA403.3b.D38 1992eb04a515/.24332201 aDaubechies, Ingrid.10aTen lectures on waveletsh[electronic resource] /cIngrid Daubechies.3 a10 lectures on wavelets. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (xix, 357 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v61 aContains lectures delivered at the CBMS conference organized in June 1990 by the Mathematics Dept. at the University of Lowell, Mass. aIncludes bibliographical references (p. 341-351) and indexes.0 aIntroduction -- Preliminaries and notation -- The what, why, and how of wavelets -- The continuous wavelet transform -- Discrete wavelet transforms: frames -- Time-frequency density and orthonormal bases -- Orthonormal bases of wavelets and multiresolutional analysis -- Orthonormal bases of compactly supported wavelets -- More about the regularity of compactly supported wavelets -- Symmetry for compactly supported wavelet bases -- Characterization of functional spaces by means of wavelets -- Generalizations and tricks for orthonormal wavelet bases -- References -- Indexes.1 aRestricted to subscribers or individual electronic text purchasers.3 aWavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aWavelets (Mathematics)xCongresses. aWavelets aBandlimited functions aShannon's theorem aFrames aOrthonormal bases aTime-frequency functions aFourier transform aFourier series2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712742z9780898712742w(DLC) 92013201 0aCBMS-NSF regional conference series in applied mathematics ;v61.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6103760nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003051000022003222450112003442600140004563000058005964900069006545040041007235050436007645060072012005201343012725300037026155380036026525380047026885880048027356500034027836500038028176530019028556530027028746530025029016530023029266530022029497100052029717760065030238300070030888560108031589781611970111SIAM20110426135346.0m eo d cr bn |||m|||a110425s1990 paua ob 000 0 eng d z 90034761 a9781611970111 (electronic bk.) z0898712572 (pbk.) z9780898712575 (pbk.)50aCB60bSIAM a(CaBNVSL)gtp00547324 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.95b.V37 1990eb04a510/.2852201 aVarga, Richard S.10aScientific computation on mathematical problems and conjecturesh[electronic resource] /cRichard S. Varga. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (vi, 122 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v60 aIncludes bibliographical references.0 aChapter 1. The Bernstein conjecture in approximation theory -- Chapter 2. The "1/9" conjecture and its recent solution -- Chapter 3. Theoretical and computational aspects of the Riemann hypothesis -- Chapter 4. Asymptotics for the zeros of the partial sums of exp(z) -- Chapter 5. Real vs. complex best rational approximation -- Chapter 6. Generalizations of Jensen's inequality for polynomials having concentration at low degrees.1 aRestricted to subscribers or individual electronic text purchasers.3 aStudies the use of scientific computation as a tool in attacking a number of mathematical problems and conjectures. In this case, scientific computation refers primarily to computations that are carried out with a large number of significant digits, for calculations associated with a variety of numerical techniques such as the (second) Remez algorithm in polynomial and rational approximation theory, Richardson extrapolation of sequences of numbers, the accurate finding of zeros of polynomials of large degree, and the numerical approximation of integrals by quadrature techniques. The goal of this book is not to delve into the specialized field dealing with the creation of robust and reliable software needed to implement these high-precision calculations, but rather to emphasize the enormous power that existing software brings to the mathematician's arsenal of weapons for attacking mathematical problems and conjectures. Scientific Computation on Mathematical Problems and Conjectures includes studies of the Bernstein Conjecture of 1913 in polynomial approximation theory, the "1/9" Conjecture of 1977 in rational approximation theory, the famous Riemann Hypothesis of 1859, and the Polya Conjecture of 1927. The emphasis of this monograph rests strongly on the interplay between hard analysis and high-precision calculations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematicsxData processing. 0aProblem solvingxData processing. a1/9 conjecture aScientific computation aApproximation theory aRiemann hypothesis aPolya conjecture2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712572z9780898712575w(DLC) 90034761 0aCBMS-NSF regional conference series in applied mathematics ;v60.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb6004185nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820014003031000025003172450080003422600140004223000059005624900069006215000093006905040054007835050565008375060072014025201520014745300037029945380036030315380047030675880048031146500019031626500029031816530012032106530016032226530021032386530024032596530025032836530030033086530022033387100052033607760065034128300070034778560108035479781611970128SIAM20110426135356.0m eo d cr bn |||m|||a110425s1990 paua ob 000 0 eng d z 89028687 a9781611970128 (electronic bk.) z0898712440 (pbk.) z9780898712445 (pbk.)50aCB59bSIAM a(CaBNVSL)gtp00547323 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA224b.W34 1990eb04a519.52201 aWahba, Grace,d1934-10aSpline models for observational datah[electronic resource] /cGrace Wahba. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (xii, 169 p.) :bill., digital file.1 aCBMS-NSF Regional Conference series in applied mathematics ;v59 aBased on a series of 10 lectures at Ohio State University at Columbus, Mar. 23-27, 1987. aIncludes bibliographical references (p. 153-165).0 aForeword -- Chapter 1. Background -- Chapter 2. More splines -- Chapter 3. Equivalence and perpendicularity, or, What's so special about splines? -- Chapter 4. Estimating the smoothing parameter -- Chapter 5. "Confidence intervals" -- Chapter 6. Partial spline models -- Chapter 7. Finite-dimensional approximating subspaces -- Chapter 8. Fredholm integral equations of the first kind -- Chapter 9. Further nonlinear generalizations -- Chapter 10. Additive and interaction splines -- Chapter 11. Numerical methods -- Chapter 12. Special topics -- Bibliography.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. The estimate is a polynomial smoothing spline. By placing this smoothing problem in the setting of reproducing kernel Hilbert spaces, a theory is developed which includes univariate smoothing splines, thin plate splines in d dimensions, splines on the sphere, additive splines, and interaction splines in a single framework. A straightforward generalization allows the theory to encompass the very important area of (Tikhonov) regularization methods for ill-posed inverse problems. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a wide variety of problems which fall within this framework. Methods for including side conditions and other prior information in solving ill-posed inverse problems are included. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSpline theory. 0aMathematical statistics. aSplines aEquivalence aPerpendicularity aSmoothing parameter aConfidence intervals aNonlinear generalizations aNumerical methods2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712440z9780898712445w(DLC) 89028687 0aCBMS-NSF Regional Conference series in applied mathematics ;v59.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5903848nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000023003192450096003422460038004382600140004763000059006164900069006755040041007445050308007855060072010935201509011655300037026745380036027115380047027475880048027946500028028426500016028706500034028866530016029206530013029366530024029496530017029736530017029906530016030077100052030237760065030758300070031408560108032109781611970135SIAM20110426135308.0m eo d cr bn |||m|||a110425s1989 paua ob 000 0 eng d z 89021972 a9781611970135 (electronic bk.) z0898712408 (pbk.) z9780898712407 (pbk.)50aCB58bSIAM a(CaBNVSL)gtp00547322 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA649b.G36 1989eb04a516.3/62201 aGardner, Robert B.14aThe method of equivalence and its applicationsh[electronic resource] /cRobert B. Gardner.30aEquivalence and its applications. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (vii, 127 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v58 aIncludes bibliographical references.0 aEquivalence problems -- Lifting of equivalence problems to G-spaces -- The structure equations -- Reduction of the structure group by normalization -- The inductive step -- e-structures -- Global results and involutive structure -- Serendipity -- Normal forms and generalized geometries -- Prolongation.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe ideas of Elie Cartan are combined with the tools of Felix Klein and Sophus Lie to present in this book the only detailed treatment of the method of equivalence. An algorithmic description of this method, which finds invariants of geometric objects under infinite dimensional pseudo-groups, is presented for the first time. As part of the algorithm, Gardner introduces several major new techniques. In particular, the use of Cartan's idea of principal components that appears in his theory of Repere Mobile, and the use of Lie algebras instead of Lie groups, effectively a linear procedure, provide a tremendous simplification. One must, however, know how to convert from one to the other, and the author provides the Rosetta stone to accomplish this. In complex problems, it is essential to be able to identify natural blocks in group actions and not just individual elements, and prior to this publication, there was no reference to block matrix techniques. The Method of Equivalence and Its Applications details ten diverse applications including Lagrangian field theory, control theory, ordinary differential equations, and Riemannian and conformal geometry. This volume contains a series of lectures, the purpose of which was to describe the equivalence algorithm and to show, in particular, how it is applied to several pedagogical examples and to a problem in control theory called state estimation of plants under feedback. The lectures, and hence the book, focus on problems in real geometry. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aGeometry, Differential. 0aInvariants. 0aTransformations (Mathematics) aEquivalence aG-spaces aStructure equations aNormal forms aProlongation aLie algebra2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712408z9780898712407w(DLC) 89021972 0aCBMS-NSF regional conference series in applied mathematics ;v58.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5803148nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820014003051000021003192450093003402600140004333000056005734900069006295040052006985050171007505060072009215201017009935300037020105380036020475380047020835880048021306500028021786500028022066530024022346530027022586530027022856530027023126530020023397100052023597760065024118300070024768560108025469781611970142SIAM20110426135313.0m eo d cr bn |||m|||a110425s1989 paua ob 000 0 eng d z 89021682 a9781611970142 (electronic bk.) z0898712416 (pbk.) z9780898712414 (pbk.)50aCB57bSIAM a(CaBNVSL)gtp00547321 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.C52 1989eb04a519.32201 aClarke, Frank H.10aMethods of dynamic and nonsmooth optimizationh[electronic resource] /cFrank H. Clarke. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (v, 90 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v57 aIncludes bibliographical references (p. 83-87).0 aNonsmooth analysis and geometry -- The basic problem in the calculus of variations -- Verification functions and dynamic programming -- Optimal control -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aPresents the elements of a unified approach to optimization based on "nonsmooth analysis," a term introduced in the 1970's by the author, who is a pioneer in the field. Based on a series of lectures given at a conference at Emory University in 1986, this volume presents its subjects in a self-contained and accessible manner. The topics treated here have been in an active state of development, and this work therefore incorporates more recent results than those presented in 1986. Focuses mainly on deterministic optimal control, the calculus of variations, and mathematical programming. In addition, it features a tutorial in nonsmooth analysis and geometry and demonstrates that the method of value function analysis via proximal normals is a powerful tool in the study of necessary conditions, sufficient conditions, controllability, and sensitivity analysis. The distinction between inductive and deductive methods, the use of Hamiltonians, the verification technique, and penalization are also emphasized. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNonsmooth optimization. 0aCalculus of variations. aDynamic programming aNonsmooth optimization aCalculus of variations aVerification functions aOptimal control2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712416z9780898712414w(DLC) 89021682 0aCBMS-NSF regional conference series in applied mathematics ;v57.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5703218nam 2200577 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820018003031000050003212450091003712600140004623000057006024900069006595000127007285040054008555050449009095060072013585200336014305300037017665380036018035380047018395880048018866500038019346500048019726500049020206500058020696530025021276530017021526530013021696530035021826530022022176530024022396530035022636530018022986530029023167100052023457760065023978300070024628560108025329781611970159SIAM20110426135401.0m eo d cr bn |||m|||a110425s1989 paua ob 100 0 eng d z 89006115 a9781611970159 (electronic bk.) z0898712327 (pbk.) z9780898712322 (pbk.)50aCB56bSIAM a(CaBNVSL)gtp00547320 aCaBNVSLcCaBNVSLdCaBNVSL 4aQP356b.T78 1989eb04a599/.01882201 aTuckwell, Henry C.q(Henry Clavering),d1943-10aStochastic processes in the neurosciencesh[electronic resource] /cHenry C. Tuckwell. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (v, 129 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v56 aBased on lectures given by the author at the CBMS-NSF regional conference in June 1986 at North Carolina State University. aIncludes bibliographical references (p. 117-126).0 aDeterministic theories and stochastic phenomena in neurobiology -- Synaptic transmission -- Early stochastic models for neuronal activity including Poisson processes and random walks -- Discontinuous Markov processes with exponential decay -- One-dimensional diffusion processes -- Stochastic PDEs -- Statistical analysis of stochastic neural activity -- Channel noise -- Wiener kernel expansions -- Stochastic activity of neuronal populations.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis monograph is centered on quantitative analysis of nerve-cell behavior. The work is foundational, with many higher order problems still remaining, especially in connection with neural networks. Thoroughly addressed topics include stochastic problems in neurobiology, and the treatment of the theory of related Markov processes. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aStochastic processesvCongresses. 0aNeurologyxMathematical modelsvCongresses. 0aNeurologyxStatistical analysisvCongresses. 0aNeural transmissionxMathematical modelsvCongresses. aStochastic processes aNeuroscience aSynapses aDiscontinuous Markov processes aExponential decay aDiffusion processes aPartial differential equations aChannel noise aWiener kernel expansions2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712327z9780898712322w(DLC) 89006115 0aCBMS-NSF regional conference series in applied mathematics ;v56.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5602913nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820015003031000029003182450085003472600140004323000056005724900069006285000128006975000195008255040052010205050200010725060072012725200367013445300037017115380036017485380047017845880048018316500028018796500016019076530014019236530017019376530015019546530021019696530018019907000080020087100052020887760065021408300070022058560108022759781611970166SIAM20110426135215.0m eo d cr bn |||m|||a110425s1989 paua ob 000 0 eng d z 89006070 a9781611970166 (electronic bk.) z0898712319 (pbk.) z9780898712315 (pbk.)50aCB55bSIAM a(CaBNVSL)gtp00547319 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA164b.W54 1989eb04a511/.62191 aWilf, Herbert S.,d1931-10aCombinatorial algorithmsh[electronic resource] :ban update /cHerbert S. Wilf. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (v, 47 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v55 aUpdate ed. of: Combinatorial algorithms for computers and calculators / Albert Nijenhuis and Herbert S. Wilf. 2nd ed. 1978. aBased on a series of 10 lectures given at the CBMS-NSF Conference on Selection Algorithms for Combinatorial Objects, held in the summer of 1987 at the Baca Grande campus of Colorado College. aIncludes bibliographical references (p. 43-45).0 aThe original gray code -- Other gray codes -- Variations on the theme -- Choosing 2-samples -- Listing rooted trees -- Random selection of trees -- Listing free trees -- Generating random graphs.1 aRestricted to subscribers or individual electronic text purchasers.3 aA survey of some of the work that has been done since the appearance of the second edition of Combinatorial Algorithms. Topics include progress in: Gray Codes, listing of subsets of given size of a given universe, listing rooted and free trees, selecting free trees and unlabeled graphs uniformly at random, and ranking and unranking problems on unlabeled trees. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCombinatorial analysis. 0aAlgorithms. aGray code aRooted trees aFree trees aRandom selection aRandom graphs1 aNijenhuis, Albert.tCombinatorial algorithms for computers and calculators.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712319z9780898712315w(DLC) 89006070 0aCBMS-NSF regional conference series in applied mathematics ;v55.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5504226nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500022002800820016003021000016003182450068003342600140004023000058005424900069006005000205006695040054008745051169009285060072020975200793021695300037029625380036029995380047030355880048030826500031031306500039031616530012032006530011032126530014032236530024032376530018032616530018032797100052032977110104033497760065034538300070035188560108035889781611970173SIAM20110426135319.0m eo d cr bn |||m|||a110425s1988 paua ob 100 0 eng d z 88061569 a9781611970173 (electronic bk.) z0898712262 (pbk.) z9780898712261 (pbk.)50aCB54bSIAM a(CaBNVSL)gtp00547318 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA221b.C5 1988eb04a511/.422201 aChui, C. K.10aMultivariate splinesh[electronic resource] /cCharles K. Chui. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1988. a1 electronic text (vi, 189 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v54 a"A compilation of the material ... presented at the Regional Conference on Theory and Applications of Multivariate Splines held at Howard University in Washington, D.C., ... August 10-14, 1987"--Pref. aIncludes bibliographical references (p. 177-189).0 aUnivariate splines: B-splines and truncated powers on uniform mesh -- Univariate spline spaces -- Some basic properties of B-splines -- B-spline series -- Computation of B-splines -- Box splines and multivariate truncated powers: box splines -- Basic properties of box splines -- Multivariate truncated powers -- Box spline series -- Bivariate splines on three and four directional meshes: dimension -- Locally supported splines -- Minimal and quasi-minimal supported bivariate splines -- Bases and approximation order -- Quasi-interpolation Schemes: The commutator operator -- Polynomial-generating formulas -- Construction of quasi-interpolants -- Neumann series approach -- Multivariate interpolation: Interpolation by polynomials -- Lagrange interpolation by multivariate splines -- Cardinal interpolation with nonsingular -- Cardinal interpolation with singular -- Scaled cardinal interpolation -- Shape-reserving approximation and other applications: Shape-preserving approximation by box spline series -- Shape-preserving quasi-interpolation and interpolation -- Application of CAGD -- Reconstruction of gradient fields -- Applications to signal processing.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe subject of multivariate splines has become a rapidly growing field of mathematical research. The author presents the subject from an elementary point of view that parallels the theory and development of univariate spline analysis. To compensate for the missing proofs and details, an extensive bibliography has been included. There is a presentation of open problems with an emphasis on the theory and applications to computer-aided design, data analysis, and surface fitting. Applied mathematicians and engineers working in the areas of curve fitting, finite element methods, computer-aided geometric design, signal processing, mathematical modelling, computer-aided design, computer-aided manufacturing, and circuits and systems will find this monograph essential to their research. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSpline theoryxCongresses. 0aMultivariate analysisxCongresses. aSplines aMeshes aSmoothing aBezier polynomials aInterpolation aApproximation2 aSociety for Industrial and Applied Mathematics.2 aRegional Conference on Theory and Applications of Multivariate Splinesd(1987 :cHoward University)08iPrint version:z0898712262z9780898712261w(DLC) 88061569 0aCBMS-NSF regional conference series in applied mathematics ;v54.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5402519nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820016003031000018003192450097003372600140004343000057005744900069006315000027007005040052007275050516007795060072012955300037013675380036014045380047014405880048014876500021015356500028015566530015015846530020015996530016016196530014016356530020016496530017016696530020016867100052017067760065017588300070018238560108018939781611970180SIAM20110426135225.0m eo d cr bn |||m|||a110425s1988 paua ob 000 0 eng d z 88060958 a9781611970180 (electronic bk.) z0898712254 (pbk.) z9780898712254 (pbk.)50aCB53bSIAM a(CaBNVSL)gtp00547317 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA927b.F54 1988eb04a530.1/42191 aFife, Paul C.10aDynamics of internal layers and diffusive interfacesh[electronic resource] /cPaul C. Fife. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1988. a1 electronic text (vi, 93 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v53 aErratum slip inserted. aIncludes bibliographical references (p. 83-93).0 aInternal layers: dynamics of internal layers -- Bistable fronts in an inhomogeneous medium -- Phase field models -- Flame theory: activation energy asymptotics for a one-step reaction -- Stability analysis of simple flames -- Flames due to chain branching -- Complex chemistry -- Electrophoresis: Models and problems -- Isotachophoresis -- Isoelectric focusing -- Waves in excitable and self-oscillatory media: One-dimensional problems -- Inhomogeneous media -- Curvature, corners, and twists -- Rotating waves.1 aRestricted to subscribers or individual electronic text purchasers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNonlinear waves. 0aWave motion, Theory of. aInterfaces aInternal layers aAsymptotics aStability aExcitable media aFlame theory aElectrophoresis2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712254z9780898712254w(DLC) 88060958 0aCBMS-NSF regional conference series in applied mathematics ;v53.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5302907nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820014003061000042003202450099003622600140004613000056006014900069006575040052007265050254007785060072010325200560011045300037016645380036017015380047017375880048017846500038018326500053018706530038019236530020019616530023019816530019020046530018020236530022020416530031020637100052020947760065021468300070022118560108022819781611970197SIAM20110426135317.0m eo d cr bn |||m|||a110425s1986 paua ob 100 0 eng d z 86061533 a9781611970197 (electronic bk.) z0898712076 (pbk.) z9780898712070 (pbk.)50aCB51bSIAM a(CaBNVSL)gtp00547316 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297.5b.C475 1986eb04a519.42191 aCheney, E. W.q(Elliott Ward),d1929-10aMultivariate approximation theoryh[electronic resource] :bselected topics /cE. Ward Cheney. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1986. a1 electronic text (v, 68 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v51 aIncludes bibliographical references (p. 60-68).0 aIntroduction -- Tensor products -- Applications to integral equations and matrix scaling -- Approximation by projections -- The problem of proximinality -- Algorithms -- Simultaneous approximation and Chebyshev centers -- Multivariate interpolation.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe approximation of functions of several variables continues to be a difficult problem in scientific computing because many of the algorithms required for such problems have yet to be written. This monograph is written for a broad audience of computational mathematicians and statisticians concerned with the development of algorithms or the derivation of approximations from linear projections, of which the interpolating operators are an important example. As an aid to both researchers and students, a bibliography of more than 200 titles is included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aApproximation theoryvCongresses. 0aFunctions of several real variablesvCongresses. aMultivariate approximation theory aTensor products aIntegral equations aMatrix scaling aProximinality aChebyshev centers aMultivariate interpolation2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712076z9780898712070w(DLC) 86061533 0aCBMS-NSF regional conference series in applied mathematics ;v51.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5103548nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820015003031000030003182450104003482600140004523000052005924900069006445040052007135050606007655060072013715200973014435300037024165380036024535380047024895880048025366500019025846500018026036500020026216530018026416530013026596530010026726530022026826530013027046530018027177100052027357760065027878300070028528560108029229781611970203SIAM20110426135202.0m eo d cr bn |||m|||a110425s1986 pau ob 000 0 eng d z 86061532 a9781611970203 (electronic bk.) z0898712033 (pbk.) z9780898712032 (pbk.)50aCB50bSIAM a(CaBNVSL)gtp00547315 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA241b.L68 1986eb04a512/.72191 aLovasz, Laszlo,d1948-13aAn algorithmic theory of numbers, graphs, and convexityh[electronic resource] /cLaszlo Lovasz. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1986. a1 electronic text (iii, 91 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v50 aIncludes bibliographical references (p. 87-91).0 aHow to round numbers -- Preliminaries: on algorithms involving numbers -- Diophantine approximation, problems -- Lattices, bases, and the reduction problem -- Diophantine approximation and rounding -- What is a real number how to round a convex body -- Preliminaries: inputting a set -- Algorithmic problems on convex sets -- The ellipsoid method -- Rational polyhedra -- Some other algorithmic problems on convex sets -- Integer programming in fixed dimension -- Some applications in combinatorics -- Cuts and joins -- Chromatic number, cliques and perfect graphs -- Minimizing a submodular function.1 aRestricted to subscribers or individual electronic text purchasers.3 aA study of how complexity questions in computing interact with classical mathematics in the numerical analysis of issues in algorithm design. Algorithmic designers concerned with linear and nonlinear combinatorial optimization will find this volume especially useful. Two algorithms are studied in detail: the ellipsoid method and the simultaneous diophantine approximation method. Although both were developed to study, on a theoretical level, the feasibility of computing some specialized problems in polynomial time, they appear to have practical applications. The book first describes use of the simultaneous diophantine method to develop sophisticated rounding procedures. Then a model is described to compute upper and lower bounds on various measures of convex bodies. Use of the two algorithms is brought together by the author in a study of polyhedra with rational vertices. The book closes with some applications of the results to combinatorial optimization. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNumber theory. 0aGraph theory. 0aConvex domains. aApproximation aLattices aBases aReduction problem aRounding aCombinatorics2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712033z9780898712032w(DLC) 86061532 0aCBMS-NSF regional conference series in applied mathematics ;v50.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb5003112nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820014003051000030003192450101003492600140004503000051005904900069006415000193007105040052009035050437009555060072013925200340014645300037018045380036018415380047018775880048019246500025019726500030019976530019020276530025020466530034020716530028021057100051021337100039021847100052022237110092022757760037023678300070024048560108024749781611970210SIAM20110426135409.0m eo d cr bn |||m|||a110425s1985 paua ob 100 0 eng d z 84052332 a9781611970210 (electronic bk.) z0898710510 (pbk.) z9780898710519 (pbk.)50aCB49bSIAM a(CaBNVSL)gtp00547314 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA278.8b.S46 1985eb04a519.52191 aSen, Pranab Kumar,d1937-10aTheory and applications of sequential nonparametricsh[electronic resource] /cPranab Kumar Sen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1985. a1 electronic text (v, 100 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v49 a"These lecture notes follow closely the actual presentation at the CBMS-NSF Regional Conference in the Mathematical Sciences at the University of Iowa, Iowa City, July 18-22, 1983."--Pref. aIncludes bibliographical references (p. 93-98).0 aTime-sequential nonparametrics -- Miscellaneous time-sequential procedures -- Change-point nonparametrics -- Recursive residual M-tests -- Nonparametrics of sequential estimation -- Sequential confidence regions -- Nonparametric case -- Nonparametric repeated significance tests -- Repeated multiple comparisons tests -- Nonparametrics of sequential tests -- Pitman efficiency: sequential case -- Nonparametric tests with power one.1 aRestricted to subscribers or individual electronic text purchasers.3 aA study of sequential nonparametric methods emphasizing the unified Martingale approach to the theory, with a detailed explanation of major applications including problems arising in clinical trials, life-testing experimentation, survival analysis, classical sequential analysis and other areas of applied statistics and biostatistics. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSequential analysis. 0aNonparametric statistics. aNonparametrics aSignificance testing aProgressive censoring schemes aMinimum risk estimation2 aConference Board of the Mathematical Sciences.2 aNational Science Foundation (U.S.)2 aSociety for Industrial and Applied Mathematics.2 aCBMS-NSF Regional Conference in the Mathematical Sciencesd(1983 :cUniveristy of Iowa)08iPrint version:w(DLC) 84052332 0aCBMS-NSF regional conference series in applied mathematics ;v49.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4902336nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820027003031000028003302450082003582600140004403000059005804900069006395040054007085050416007625060072011785300037012505380036012875380047013235880048013706500014014186500037014326530013014696530031014826530036015136530022015497100052015717760065016238300070016888560108017589781611970227SIAM20110426135350.0m eo d cr bn |||m|||a110425s1985 paua ob 000 0 eng d z 84071051 a9781611970227 (electronic bk.) z0898711967 (pbk.) z9780898711967 (pbk.)50aCB48bSIAM a(CaBNVSL)gtp00547313 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA927b.N46 1985eb04a532/.0593/015153532191 aNewell, Alan C.,d1941-10aSolitons in mathematics and physicsh[electronic resource] /cAlan C. Newell. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1985. a1 electronic text (xvi, 244 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v48 aIncludes bibliographical references (p. 237-244).0 aThe history of the soliton -- Derivation of the Korteweg-de Vries; nonlinear Schrodinger and other important and canonical equations of mathematical physics -- Soliton equation families and solution methods -- The -function; the Hirota method; the Painleve property and Backlund transformations for the Korteweg-de Vries family of soliton equations -- Connecting links among the miracles of soliton mathematics.1 aRestricted to subscribers or individual electronic text purchasers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSolitons. 0aDifferential equations, Partial. aSolitons aKorteweg--deVries equation aNonlinear Schrodinger equation aInverse transform2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711967z9780898711967w(DLC) 84071051 0aCBMS-NSF regional conference series in applied mathematics ;v48.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4802485nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820014003061000030003202450123003502600140004733000051006134900069006645040052007335050175007855060072009605200373010325300037014055380036014425380047014785880048015256500039015736500021016126530038016336530028016716530021016997100052017207760065017728300070018378560108019079781611970234SIAM20110426135229.0m eo d cr bn |||m|||a110425s1984 pau ob 000 0 eng d z 84050502 a9781611970234 (electronic bk.) z0898711932 (pbk.) z9780898711936 (pbk.)50aCB47bSIAM a(CaBNVSL)gtp00547312 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA274.23b.I87 1984eb04a519.22191 aIto, Kiyosi,d1915-2008.10aFoundations of stochastic differential equations in infinite dimensional spacesh[electronic resource] /cKiyosi Ito. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1984. a1 electronic text (ix, 70 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v47 aIncludes bibliographical references (p. 69-70).0 aMulti-Hilbertian spaces and their dual spaces -- Infinite dimensional random variables and stochastic processes -- Infinite dimensional stochastic differential equations.1 aRestricted to subscribers or individual electronic text purchasers.3 aA systematic, self-contained treatment of the theory of stochastic differential equations in infinite dimensional spaces. Included is a discussion of Schwartz spaces of distributions in relation to probability theory and infinite dimensional stochastic analysis, as well as the random variables and stochastic processes that take values in infinite dimensional spaces. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aStochastic differential equations. 0aFunction spaces. aStochastic differential equations aMulti-Hilbertian spaces aRandom variables2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711932z9780898711936w(DLC) 84050502 0aCBMS-NSF regional conference series in applied mathematics ;v47.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4702885nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820017003061000023003232450081003462600140004273000050005674900069006175000133006865040049008195050461008685060072013295200372014015300037017735380036018105380047018465880048018936500022019416530021019636530020019846530021020046530021020256530012020466530026020587100052020847760065021368300070022018560108022719781611970241SIAM20110426135248.0m eo d cr bn |||m|||a110425s1984 pau ob 000 0 eng d z 83051046 a9781611970241 (electronic bk.) z0898711894 (pbk.) z9780898711899 (pbk.)50aCB46bSIAM a(CaBNVSL)gtp00547311 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA273.67b.V37 1984eb04a519.5/342191 aVaradhan, S. R. S.10aLarge deviations and applicationsh[electronic resource] /cS.R.S. Varadhan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1984. a1 electronic text (v, 75 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v46 aConsists of notes based on lectures given at a conference at the University of Southern Illinois at Carbondale during June 1982. aIncludes bibliographical references (p. 75).0 aLarge deviations -- Cramer's theorem -- Multidimensional version of Cramer's theorem -- An infinite dimensional example: Brownian motion -- The Ventcel-Freidlin theory -- The exit problem -- Empirical distributions -- The large deviation problem for empirical distributions of Markov processes -- Some properties of entropy -- Upper bounds -- Lower bounds -- Contraction principle -- Application to the problem of the wiener sausage -- The Polaron problem.1 aRestricted to subscribers or individual electronic text purchasers.3 aMany situations exist in which solutions to problems are represented as function space integrals. Such representations can be used to study the qualitative properties of the solutions and to evaluate them numerically using Monte Carlo methods. The emphasis in this book is on the behavior of solutions in special situations when certain parameters get large or small. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aLarge deviations. aLarge deviations aBrownian motion aCramer's theorem aMarkov processes aEntropy aContraction principle2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711894z9780898711899w(DLC) 83051046 0aCBMS-NSF regional conference series in applied mathematics ;v46.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4603161nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820018003051000021003232450085003442600140004293000056005694900069006255000126006945040052008205050528008725060072014005200535014725300037020075380036020445380047020805880048021276500048021756500045022236530022022686530023022906530013023136530046023267100052023727760065024248300070024898560108025599781611970258SIAM20110426135217.0m eo d cr bn |||m|||a110425s1983 paua ob 000 0 eng d z 83050665 a9781611970258 (electronic bk.) z0898711886 (pbk.) z9780898711884 (pbk.)50aCB45bSIAM a(CaBNVSL)gtp00547310 aCaBNVSLcCaBNVSLdCaBNVSL 4aQH546.3b.W35 1983eb04a574.5/2482191 aWaltman, Paul E.10aCompetition models in population biologyh[electronic resource] /cPaul Waltman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1983. a1 electronic text (v, 77 p.) :bill., digital file.1 aCBMS-NSF Regional conference series in applied mathematics ;v45 a"These lecture notes are from a series of lectures given at a regional conference at Logan, Utah, in July of 1982"--P. v. aIncludes bibliographical references (p. 75-77).0 aSingle population growth models -- Logistic growth -- The simple chemostat -- Interacting populations -- The Lotka-Volterra competition model -- Competition in the chemostat -- A three-level food chain -- Bifurcation from a limit cycle -- Two predators competing for a renewable resource -- Two predators feeding on a prey growing in a chemostat -- Some deterministic problems in genetics -- Predator influence on the growth of a population with three genotype -- A model of cystic fibrosis -- A parental selection problem.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book uses fundamental ideas in dynamical systems to answer questions of a biologic nature, in particular, questions about the behavior of populations given a relatively few hypotheses about the nature of their growth and interaction. The principal subject treated is that of coexistence under certain parameter ranges, while asymptotic methods are used to show competitive exclusion in other parameter ranges. Finally, some problems in genetics are posed and analyzed as problems in nonlinear ordinary differential equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCompetition (Biology)xMathematical models. 0aPopulation biologyxMathematical models. aDynamical systems aAsymptotic methods aGenetics aNonlinear ordinary differential equations2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711886z9780898711882w(DLC) 83050665 0aCBMS-NSF Regional conference series in applied mathematics ;v45.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4502902nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500027002800820017003071000046003242450090003702600140004603000059006004900069006595040054007285050162007825060072009445200690010165300037017065380036017435380047017795880048018266500039018746500025019136500025019386530020019636530023019836530010020066530018020166530010020346530019020446530014020637100052020777760065021298300070021948560108022649781611970265SIAM20110426135221.0m eo d cr bn |||m|||a110425s1983 paua ob 000 0 eng d z 83061374 a9781611970265 (electronic bk.) z0898711878 (pbk.) z9780898711875 (pbk.)50aCB44bSIAM a(CaBNVSL)gtp00547309 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.9.D35bT37 1983eb04a001.64/22191 aTarjan, Robert E.q(Robert Endre),d1948-10aData structures and network algorithmsh[electronic resource] /cRobert Endre Tarjan. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1983. a1 electronic text (vii, 131 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v44 aIncludes bibliographical references (p. 125-131).0 aFoundations -- Disjoint sets -- Heaps -- Search trees -- Linking and cutting trees -- Minimum spanning trees -- Shortest paths -- Network flows -- Matchings.1 aRestricted to subscribers or individual electronic text purchasers.3 aThere has been an explosive growth in the field of combinatorial algorithms. These algorithms depend not only on results in combinatorics and especially in graph theory, but also on the development of new data structures and new techniques for analyzing algorithms. Four classical problems in network optimization are covered in detail, including a development of the data structures they use and an analysis of their running time. Data Structures and Network Algorithms attempts to provide the reader with both a practical understanding of the algorithms, described to facilitate their easy implementation, and an appreciation of the depth and beauty of the field of graph algorithms. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aData structures (Computer science) 0aComputer algorithms. 0aTrees (Graph theory) aData structures aNetwork algorithms aTrees aDisjoint sets aHeaps aShortest paths aMatchings2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711878z9780898711875w(DLC) 83061374 0aCBMS-NSF regional conference series in applied mathematics ;v44.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4402730nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820022003031000028003252450102003532600140004553000060005954900069006555040054007245050309007785060072010875200499011595300037016585380036016955380047017315880048017786500029018266530015018556530016018706530018018866530027019047000022019317100052019537760065020058300070020708560108021409781611970272SIAM20110426135252.0m eo d cr bn |||m|||a110425s1983 paua ob 000 0 eng d z 83061375 a9781611970272 (electronic bk.) z089871186X (pbk.) z9780898711868 (pbk.)50aCB43bSIAM a(CaBNVSL)gtp00547308 aCaBNVSLcCaBNVSLdCaBNVSL 4aQD516b.B76 1983eb04a541.3/61/01512191 aBuckmaster, John David.10aLectures on mathematical combustionh[electronic resource] /cJ.D. Buckmaster and G.S.S. Ludford. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1983. a1 electronic text (viii, 126 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v43 aIncludes bibliographical references (p. 125-126).0 aPre-asymptotic combustion revisited -- Governing equations, Asymptotics, and deflagrations -- General deflagrations -- SVFs and NEFs -- Stability of the plane deflagration wave -- Cellular flames -- Pulsating flames -- Counterflow diffusion flames -- Spherical diffusion flames -- Free-boundary problems.1 aRestricted to subscribers or individual electronic text purchasers.3 aAn introduction to far-reaching developments in theoretical combustion, with special emphasis on flame stability, a topic that has, to date, benefited most from the application of modern asymptotic methods. The authors provide a modern view of flame theory, and a complete description of the longstanding ignition and explosion problems, including the solutions that were made available independently by Kapila and Kassoy through activation-energy asymptotics, the main theme of this monograph. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aCombustionxMathematics. aCombustion aAsymptotics aDeflagrations aFree-boundary problems1 aLudford, G. S. S.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871186Xz9780898711868w(DLC) 83061375 0aCBMS-NSF regional conference series in applied mathematics ;v43.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4303059nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630280015001850350025002000400030002250500025002550820014002801000017002942450097003112600140004083000054005484900069006025000184006715040041008555050805008965060072017015200160017735300037019335380036019705380047020065880048020536500038021016500026021396530023021656530021021886530022022096530019022316530020022507100052022707760065023228300070023878560108024579781611970289SIAM20110426135340.0m eo d cr bn |||m|||a110425s1983 pau ob 000 0 eng d z 83060222 a9781611970289 (electronic bk.) z0898711851 (pbk.)50aCB42bSIAM a(CaBNVSL)gtp00547307 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA276.7b.C76 1983eb04a519.52191 aCsorgo, M.10aQuantile processes with statistical applicationsh[electronic resource] /cMiklos Csorgo. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1983. a1 electronic text (xiii, 156 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v42 aBased on ten lectures given at a National Science Foundation Regional Conference in the Mathematical Sciences at the Institute of Statistics, Texas A & M University, in July 1981. aIncludes bibliographical references.0 aA preliminary study of quantile processes -- A weak convergence of the normed sample quantile process -- Strong approximations of the normed quantile process -- Two approaches to constructing simultaneous confidence bounds for quantiles -- Weak convergence of quantile processes in weighted sup-norm metrics and further strong approximations -- On Bahadur's Representation of sample quantiles and on Kiefer's Theory of deviations between the sample quantile and empirical processes -- Quadratic forms of the quantile process -- Weighted spacings and testing for composite goodness-of-fit -- Strong approximations of the quantile process of the product-limit estimator -- An invariance principle for nearest-neighbor empirical density functions -- A nearest- neighbor estimator for the score function.1 aRestricted to subscribers or individual electronic text purchasers.3 aProvides a comprehensive theory of the approximations of quantile processes in light of recent advances, as well as some of their statistical applications. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDistribution (Probability theory) 0aSampling (Statistics) aQuantile processes aWeak convergence aConfidence bounds aApproximations aKiefers' theory2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711851z9780898711851w(DLC) 83060222 0aCBMS-NSF regional conference series in applied mathematics ;v42.403SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4202697nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000024003202450084003442600140004283000058005684900069006265040052006955050214007475060072009615200389010335300037014225380036014595380047014955880048015426500024015906500026016146500023016406500021016636500032016846530013017166530014017296530026017436530023017696530020017926530016018126530020018287100052018487760065019008300070019658560108020359781611970296SIAM20110426135210.0m eo d cr bn |||m|||a110425s1983 paua ob 000 0 eng d z 82061451 a9781611970296 (electronic bk.) z0898711827 (pbk.) z9780898711820 (pbk.)50aCB40bSIAM a(CaBNVSL)gtp00547306 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA431b.S29 1983eb04a515/.6252191 aSattinger, David H.10aBranching in the presence of symmetryh[electronic resource] /cD.H. Sattinger. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1983. a1 electronic text (vii, 73 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v40 aIncludes bibliographical references (p. 71-73).0 aChapter 1. Critical points of nonconvex functionals -- Chapter 2. Spontaneous symmetry breaking -- Chapter 3. Equivariant singularity theory -- Chapter 4. Critical orbits of linear group actions -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aA discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aBifurcation theory. 0aFunctional equations. 0aMaxima and minima. 0aSymmetry groups. 0aSingularities (Mathematics) aSymmetry aBranching aNonconvex functionals aBifurcation theory aMinimax methods aSingularity aCritical orbits2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711827z9780898711820w(DLC) 82061451 0aCBMS-NSF regional conference series in applied mathematics ;v40.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb4002847nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820016003051000024003212450097003452600140004423000052005824900069006345040054007035050287007575060072010445200543011165300037016595380036016965380047017325880048017796500025018276500020018526530024018726530017018966530029019136530025019426530023019676530028019906530015020187100052020337760065020858300070021508560109022209781611970302SIAM20110426135323.0m eo d cr bn |||m|||a110425s1982 pau ob 100 0 eng d z 81084856 a9781611970302 (electronic bk.) z0898711800 (pbk.) z9780898711806 (pbk.)50aCB39bSIAM a(CaBNVSL)gtp00547305 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA279.7b.W66 1982eb04a519.5/42191 aWoodroofe, Michael.10aNonlinear renewal theory in sequential analysish[electronic resource] /cMichael Woodroofe. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1982. a1 electronic text (iv, 119 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v39 aIncludes bibliographical references (p. 117-119).0 aRandomly stopped sequences -- Random walks -- The sequential probability ratio test -- Nonlinear renewal theory -- Local limit theorems -- Open-ended tests -- Repeated significance tests -- Multiparameter problems -- Estimation following sequential testing -- Sequential estimation.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe global approach to nonlinear renewal theory is integrated with the author's own local approach. Both the theory and its applications are placed in perspective by including a discussion of the linear renewal theorem and its applications to the sequential probability ratio test. Applications to repeated significance tests, to tests with power one, and to sequential estimation are also included. The monograph is self-contained for readers with a working knowledge of measure-theoretic probability and intermediate statistical theory. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSequential analysis. 0aRenewal theory. aSequential analysis aRandom walks aNonlinear renewal theory aLocal limit theorems aSignificance tests aMultiparameter problems aEstimation2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711800z9780898711806w(DLC) 81084856 0aCBMS-NSF regional conference series in applied mathematics ;v39.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3903337nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500026002800820017003061000020003232450102003432600140004453000058005854900069006435040052007125050367007645060072011315200925012035300037021285380036021655380047022015880048022486500023022966500033023196500027023526500027023796500028024066530014024346530014024486530015024626530010024776530025024877100052025127760065025648300070026298560108026999781611970319SIAM20110426135246.0m eo d cr bn |||m|||a110425s1982 paua ob 100 0 eng d z 81084708 a9781611970319 (electronic bk.) z9780898711790 (pbk.) z0898711797 (pbk.)50aCB38bSIAM a(CaBNVSL)gtp00547304 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA276.8b.E375 1982eb04a519.5/442191 aEfron, Bradley.14aThe jackknife, the bootstrap, and other resampling plansh[electronic resource] /cBradley Efron. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1982. a1 electronic text (vii, 92 p.) :bill., digital file.1 aCBMS-NSF Regional conference series in applied mathematics ;v38 aIncludes bibliographical references (p. 91-92).0 aThe jackknife estimate of bias -- The jackknife estimate of variance -- Bias of the jackknife variance estimate -- The bootstrap -- The infinitesimal jackknife -- The Delta Method and the influence function -- cross-validation, jackknife and bootstrap -- Balanced repeated replications (half-sampling) -- Random subsampling -- Nonparametric confidence intervals.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe jackknife and the bootstrap are nonparametric methods for assessing the errors in a statistical estimation problem. They provide several advantages over the traditional parametric approach: the methods are easy to describe and they apply to arbitrarily complicated situations; distribution assumptions, such as normality, are never made. This monograph connects the jackknife, the bootstrap, and many other related ideas such as cross-validation, random subsampling, and balanced repeated replications into a unified exposition. The theoretical development is at an easy mathematical level and is supplemented by a large number of numerical examples. The methods described in this monograph form a useful set of tools for the applied statistician. They are particularly useful in problem areas where complicated data structures are common, for example, in censoring, missing data, and highly multivariate situations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aEstimation theory. 0aError analysis (Mathematics) 0aJackknife (Statistics) 0aBootstrap (Statistics) 0aResampling (Statistics) aJackknife aBootstrap aResampling aANOVA aConfidence intervals2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711797z9780898711790w(DLC) 81084708 0aCBMS-NSF Regional conference series in applied mathematics ;v38.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3802683nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500027002800820019003071000024003262450104003502600140004543000053005944900069006475040052007165050365007685060072011335200214012055300037014195380036014565380047014925880048015396500028015876500026016156530022016416530023016636530013016866530014016996530023017136530016017366530018017526530025017706530019017956530020018147100052018347760065018868300070019518560108020219781611970326SIAM20110426135250.0m eo d cr bn |||m|||a110425s1981 paua ob 000 0 eng d z 80054307 a9781611970326 (electronic bk.) z0898711703 (pbk.) z9780898711707 (pbk.)50aCB37bSIAM a(CaBNVSL)gtp00547303 aCaBNVSLcCaBNVSLdCaBNVSL 4aQC20.7.D52bM27 1981eb04a530.1/56362191 aMarsden, Jerrold E.10aLectures on geometric methods in mathematical physicsh[electronic resource] /cJerrold E. Marsden. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1981. a1 electronic text (97 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v37 aIncludes bibliographical references (p. 91-97).0 aInfinite-dimensional Hamiltonian systems -- Elasticity as a Hamiltonian system -- Symmetry and reduction applications of reduction -- Two completely integrable systems -- Bifurcations of a forced beam -- The traction problem in elastostatics -- Bifurcations of momentum mappings -- The space of solutions of Einstein's equations -- Regular and singular points.1 aRestricted to subscribers or individual electronic text purchasers.3 aA monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aGeometry, Differential. 0aMathematical physics. aGeometric methods aHamiltonian system aSymmetry aReduction aIntegrable systems aBifurcation aElastostatics aEinstein's equations aRegular points aSingular points2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711703z9780898711707w(DLC) 80054307 0aCBMS-NSF regional conference series in applied mathematics ;v37.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3702844nam 2200553 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500025002800820017003051000021003222450085003432600140004283000047005684900069006155040052006845050313007365060072010495200421011215300037015425380036015795380047016155880048016626500022017106500025017326500040017576530025017976530028018226530013018506530014018636530021018776530021018986530024019196530023019436530029019667100052019957760065020478300070021128560108021829781611970333SIAM20110426135204.0m eo d cr bn |||m|||a110425s1981 pau ob 000 0 eng d z 80053712 a9781611970333 (electronic bk.) z089871169X (pbk.) z9780898711691 (pbk.)50aCB36bSIAM a(CaBNVSL)gtp00547302 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA274.7b.K87 1981eb04a519.2/332191 aKurtz, Thomas G.10aApproximation of population processesh[electronic resource] /cThomas G. Kurtz. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1981. a1 electronic text (75 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v36 aIncludes bibliographical references (p. 73-75).0 aWeak convergence -- Markov Processes and their generators -- Convergence to Markov processes -- Diffusion approximations -- Branching Markov processes -- Markov processes as random time changes -- Approximations of density dependent jump Markov processes -- Epidemic models -- Random replication with errors.1 aRestricted to subscribers or individual electronic text purchasers.3 aPopulation processes are stochastic models for systems involving a number of similar particles. Examples include models for chemical reactions and for epidemics. The model may involve a finite number of attributes, or even a continuum. This monograph considers approximations that are possible when the number of particles is large. The models considered will involve a finite number of different types of particles. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMarkov processes. 0aBranching processes. 0aLimit theorems (Probability theory) aPopulation processes aDiffusion approximation aGenetics aEpidemics aWeak convergence aMarkov processes aBranching processes aRandom time change aMeasure valued processes2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871169Xz9780898711691w(DLC) 80053712 0aCBMS-NSF regional conference series in applied mathematics ;v36.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3602833nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820018003031000022003212450076003432600140004193000053005594900069006125000091006815040052007725050334008245060072011585200539012305300037017695380036018065380047018425880048018896500016019376530022019536530016019756530028019916530010020196530015020297100052020447760065020968300070021618560108022319781611970340SIAM20110426135415.0m eo d cr bn |||m|||a110425s1981 paua ob 000 0 eng d z 80053711 a9781611970340 (electronic bk.) z0898711681 (pbk.) z9780898711684 (pbk.)50aCB35bSIAM a(CaBNVSL)gtp00547301 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA931b.G84 1981eb04a531/.38232191 aGurtin, Morton E.10aTopics in finite elasticityh[electronic resource] /cMorton E. Gurtin. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1981. a1 electronic text (58 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v35 a"Based on a series of lectures delivered at the University of Tennessee in June 1979." aIncludes bibliographical references (p. 57-58).0 aKinematics: stress -- Elastic materials, change of observer -- Material symmetry -- Simple shear -- The Piola-Kirchhoff stress -- Hyperelasticity -- The elasticity tensor -- The boundary-value problem -- Variational formulational stability and uniqueness -- Incompressible materials -- Deformations of a cube -- Anti-plane shear.1 aRestricted to subscribers or individual electronic text purchasers.3 aFinite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. The monograph is intended for engineers, physicists, and mathematicians. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aElasticity. aFinite elasticity aDeformation aBoundary value problems aShear aUniqueness2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711681z9780898711684w(DLC) 80053711 0aCBMS-NSF regional conference series in applied mathematics ;v35.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3502748nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820021003031000044003242450079003682600140004473000052005874900069006395000073007085040052007815050691008335060072015245300037015965380036016335380047016695880048017166500038017646530013018026530014018156530013018296530013018426530017018556530024018727100051018967100052019477760065019998300070020648560108021349781611970357SIAM20110426135306.0m eo d cr bn |||m|||a110425s1980 pau ob 000 0 eng d z 80051290 a9781611970357 (electronic bk.) z0898711665 (pbk.) z9780898711660 (pbk.)50aCB34bSIAM a(CaBNVSL)gtp00547300 aCaBNVSLcCaBNVSLdCaBNVSL 4aQH455b.K56 1980eb04a575.1/5/01512191 aKingman, J. F. C.q(John Frank Charles)10aMathematics of genetic diversityh[electronic resource] /cJ.F.C. Kingman. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1980. a1 electronic text (vii, 70 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v34 a"Sponsored by Conference Board of the Mathematical Sciences"--Cover. aIncludes bibliographical references (p. 67-70).0 aThe problem: Why mathematics? -- Genes and their inheritance; Selection; Mutation -- Survival of the fittest: Balanced polymorphisms; Multi-locus selection; Balance between selection and mutation; The house of cards; The diploid house of cards; The resistance of polymorphisms to mutation -- The neutral alternative: Evolution in the absence of selection; A general model for mutation in finite populations; The random walk case; The frequency spectrum; The Ewens sampling formula; The Poisson-Dirichlet distribution; Partition structures; Testing neutrality -- Selection in finite populations: Deleterious mutants; The Wright-Fisher model; Wright's formula; The infinite Alleles limit.1 aRestricted to subscribers or individual electronic text purchasers. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aPopulation geneticsxMathematics. aGenetics aSelection aMutation aSampling aDistribution aWright-Fisher model2 aConference Board of the Mathematical Sciences.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711665z9780898711660w(DLC) 80051290 0aCBMS-NSF regional conference series in applied mathematics ;v34.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3402801nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500023002800820017003031000017003202450085003372600140004223000052005624900069006145000077006835040049007605050182008095060072009915200628010635300037016915380036017285380047017645880048018116500037018596500030018966530031019266530016019576530016019736530023019897100052020127760065020648300070021298560108021999781611970364SIAM20110426135206.0m eo d cr bn |||m|||a110425s1980 pau ob 000 0 eng d z 79093154 a9781611970364 (electronic bk.) z0898711630 (pbk.) z9780898711639 (pbk.)50aCB33bSIAM a(CaBNVSL)gtp00547299 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA243b.W56 1980eb04a512.9/442191 aWinograd, S.10aArithmetic complexity of computationsh[electronic resource] /cShmuel Winograd. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1980. a1 electronic text (iii, 93 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v33 a"Based on lectures given by the author at the University of Pittsburgh." aIncludes bibliographical references (p. 93).0 aThree examples -- General background -- Product of polynomials -- FIR filters -- Product of polynomials modulo a polynomial -- Cyclic convolution and discrete Fourier transform.1 aRestricted to subscribers or individual electronic text purchasers.3 aFocuses on finding the minimum number of arithmetic operations needed to perform the computation and on finding a better algorithm when improvement is possible. The author concentrates on that class of problems concerned with computing a system of bilinear forms. Results that lead to applications in the area of signal processing are emphasized, since (1) even a modest reduction in the execution time of signal processing problems could have practical significance; (2) results in this area are relatively new and are scattered in journal articles; and (3) this emphasis indicates the flavor of complexity of computation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aBilinear formsxData processing. 0aComputational complexity. aDiscrete Fourier transform aPolynomials aFIR filters aCyclic convolution2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711630z9780898711639w(DLC) 79093154 0aCBMS-NSF regional conference series in applied mathematics ;v33.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3302958nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500024002800820016003041000031003202450140003512600140004913000060006314900069006915000145007605040041009055050346009465060072012925200367013645300037017315380036017685380047018045880048018516500025018996500018019246500016019426530024019586530018019826530012020006530026020127100052020387110107020907760065021978300070022628560108023329781611970371SIAM20110426135242.0m eo d cr bn |||m|||a110425s1980 paud ob 000 0 eng d z 79093152 a9781611970371 (electronic bk.) z0898711622 (pbk.) z9780898711622 (pbk.)50aCB32bSIAM a(CaBNVSL)gtp00547298 aCaBNVSLcCaBNVSLdCaBNVSL 4aT57.74b.J63 1980eb04a519.7/72191 aJohnson, E. L.q(Ellis L.)10aInteger programmingh[electronic resource] :bfacets, subadditivity, and duality for group and semi-group problems /cEllis L. Johnson. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1980. a1 electronic text (vii, 68 p.) :bgraphs, digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v32 aLecture notes presented at the Regional Research Conference on Integer Programming, State University of New York at Buffalo, June 5-9, 1978. aIncludes bibliographical references.0 aInteger programming -- Cuts, knapsacks, and a cyclic group problem -- Finite Abelian groups -- Gomory's corner polyhedra -- Blocking polyhedra and master group problems -- Araoz's semigroup problem -- Blockers and polars for master semigroup problems -- Subadditive and minimal valid inequalities -- Subadditive characterizations -- Duality.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis monograph considers pure integer programming problems which concern packing, partitioning or covering. For this class of problems, an algorithmic framework using a duality approach is offered. Furthermore, the author proposes for the first time a general framework for both packing and covering problems characterizing the convex whole of integer solutions. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aInteger programming. 0aGroup theory. 0aSemigroups. aInteger programming aSubadditivity aDuality aFinite Abelian groups2 aSociety for Industrial and Applied Mathematics.2 aRegional Research Conference on Integer Programmingd(1978 :cState University of New York at Buffalo)08iPrint version:z0898711622z9780898711622w(DLC) 79093152 0aCBMS-NSF regional conference series in applied mathematics ;v32.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3203358nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500026002800820017003061000018003232450089003412600140004303000051005704900069006215040049006905050795007395060072015345200523016065300037021295380036021665380047022025880048022496500026022976500038023236530036023616530028023976530034024256530034024596530026024936530038025197100052025577760065026098300070026748560108027449781611970388SIAM20110426135256.0m eo d cr bn |||m|||a110420s1980 pau ob 100 0 eng d z 79093153 a9781611970388 (electronic bk.) z0898711649 (pbk.) z9780898711646 (pbk.)50aCB31bSIAM a(CaBNVSL)gtp00547258 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.6b.M3559 1980eb04a001.64/22191 aManna, Zohar.10aLectures on the logic of computer programmingh[electronic resource] /cZohar Manna. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1980. a1 electronic text (iv, 49 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v31 aIncludes bibliographical references (p. 49).0 aPartial correctness: invariant method -- Subgoal method -- Subgoal method versus invariant method -- Termination: Well-founded ordering method -- The multiset ordering -- Total correctness -- Intermittent method -- Systematic program annotation -- Range of individual variables -- Relation between variables -- Control invariants -- Debugging -- Termination and run-time analysis -- Synthesis of programs: The weakest precondition operator -- Transformation rules -- Simultaneous-goal principle -- Conditional- formation principle -- Recursion-formulation principle -- Generalization -- Program modification -- Comparison with structured programming -- Termination of production systems: examples: associativity -- Example: distribution system -- Differentiation system -- Nested multisets.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aComputer programming. 0aLogic, Symbolic and mathematical. aPartial correctness of programs aTermination of programs aTotal correctness of programs aSystematic program annotation aSynthesis of programs aTermination of production systems2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711649z9780898711646w(DLC) 79093153 0aCBMS-NSF regional conference series in applied mathematics ;v31.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3103237nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500023002800820014003031000022003172450104003392600140004433000052005834900069006355040052007045050226007565060072009825201076010545300037021305380036021675380047022035880048022506500020022986500022023186500030023406530026023706530015023966530018024116530019024297100052024487760065025008300070025658560108026359781611970395SIAM20110426135227.0m eo d cr bn |||m|||a110420s1978 pau ob 000 0 eng d a 78014744 a9781611970395 (electronic bk.) z9780898710274 (pbk.) z0898710278 (pbk.)50aCB30bSIAM a(CaBNVSL)gtp00547257 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA267b.H35 1978eb04a519.42191 aHartmanis, Juris.10aFeasible computations and provable complexity propertiesh[electronic resource] /cJuris Hartmanis. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1978. a1 electronic text (vii, 62 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v30 aIncludes bibliographical references (p. 61-62).0 aReductions and complete sets -- L-isomorphisms of complete sets -- Structure of complete sets -- Long proofs of trivial theorems -- What can and cannot be proven about computational complexity -- Relativized P NP problem.1 aRestricted to subscribers or individual electronic text purchasers.3 aAn overview of current developments in research on feasible computations; and a consideration of this area of research in relation to provable properties of complexity of computations. The author begins by defining and discussing efficient reductions between problems and considers the families and corresponding complete languages of NL, DCSL, CSL, P, NP, PTAPE, EXPTIME, and EXPTAPE. Definitions and results are uniformly extended to computationally simpler natural families of languages such as NL, P, and CSL by using Log n-tape bounded reductions. The problem of determining what can and cannot be formally proven about running times of algorithms is discussed and related to the problem of establishing sharp time bounds for one-tape Turing machine computations, and the inability to formally prove running times for algorithms is then related to the presence of gaps in the hierarchy of complexity classes. The concluding discussion is on the possibility that the famous P=NP? problem is independent of the axioms of formal mathematical systems such as set theory. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMachine theory. 0aFormal languages. 0aComputational complexity. aFeasible computations aReductions aComplete sets aL-isomorphisms2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710278z9780898710274w(DLC) 78014744 0aCBMS-NSF regional conference series in applied mathematics ;v30.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb3002908nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500021002800820018003011000021003192450104003402600140004443000057005844900060006415000122007015040064008235050378008875060072012655200298013375300037016355380036016725380047017085880048017556500054018036500030018576500054018876530017019416530024019586530017019826530014019996530019020136530020020326530019020527100052020717760065021238300070021888560108022589781611970401SIAM20110426135235.0m eo d cr bn |||m|||a110420s1978 paua ob 101 0 eng d z 78006277 a9781611970401 (electronic bk.) z9780898710267 (pbk.) z089871026X (pbk.)50aCB29bSIAM a(CaBNVSL)gtp00547256 aCaBNVSLcCaBNVSLdCaBNVSL 4aH61b.R59 1978eb04a300/.1/512191 aRoberts, Fred S.10aGraph theory and its applications to problems of societyh[electronic resource] /cFred S. Roberts. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1978. a1 electronic text (v, 122 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v29 a"Based on a series of ten lectures delivered at a regional conference ... held at Colby College on June 20-24, 1977." aIncludes bibliographical references (p. 109-115) and index.0 aThe one-way street problem -- Intersection graphs -- Indifference, measurement, and seriation -- Food webs, niche overlap graphs, and the boxicity of ecological phase space -- Colorability -- Independence and domination -- Applications of Eulerian chains and paths -- Balance theory and social inequalities -- Pulse processes and their applications -- Qualitative matrices.1 aRestricted to subscribers or individual electronic text purchasers.3 aExplores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSocial sciencesxMathematical modelsxCongresses. 0aGraph theoryxCongresses. 0aSocial problemsxMathematical modelsxCongresses. aGraph theory aIntersection graphs aIndifference aSeriation aGraph coloring aEulerian chains aBalance theory2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871026Xz9780898710267w(DLC) 78006277 0aCBMS-NSF regional conference series in applied mathematics ;v29.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2902978nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500025002800820014003051000022003192450069003412600140004103000059005504900069006095040041006785050335007195060072010545200725011265300037018515380036018885380047019245880048019716500029020196530026020486530030020746530022021046530024021267100051021507100052022017760065022538300070023188560108023889781611970418SIAM20110426135233.0m eo d cr bn |||m|||a110420s1978 paua ob 000 0 eng d z 78108226 a9781611970418 (electronic bk.) z9780898710250 (pbk.) z0898710251 (pbk.)50aCB28bSIAM a(CaBNVSL)gtp00547255 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA273.5b.S64 1978eb04a519.22191 aSolomon, Herbert.10aGeometric probabilityh[electronic resource] /cHerbert Solomon. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1978. a1 electronic text (vii, 172 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v28 aIncludes bibliographical references.0 aBuffon needle problem, extensions, and estimation of pi -- Density and measure for random geometric elements -- Random lines in the plane and applications -- Covering a circle circumference and a sphere surface -- Crofton's theorem and Sylvester's problem in two and three dimensions -- Random chords in the circle and the sphere.1 aRestricted to subscribers or individual electronic text purchasers.3 aTopics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W.L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M.W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aGeometric probabilities. aBuffon needle problem aRandom geometric elements aCrofton's theorem aSylvester's problem2 aConference Board of the Mathematical Sciences.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710251z9780898710250w(DLC) 78108226 0aCBMS-NSF regional conference series in applied mathematics ;v28.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2803028nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500023002800820016003031000021003192450133003402600140004733000057006134900060006705040041007305050593007715060072013645200306014365300037017425380036017795380047018155880048018626500034019106500024019446530021019686530025019896530023020146530019020376530033020566530022020896530024021116530034021357000022021697100052021917760065022438300070023088560108023789781611970425SIAM20110426135327.0m eo d cr bn |||m|||a110420s1977 paua ob 100 0 eng d z 78103429 a9781611970425 (electronic bk.) z9780898710236 (pbk.) z0898710235 (pbk.)50aCB26bSIAM a(CaBNVSL)gtp00547254 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA371b.G65 1977eb04a515.3/52191 aGottlieb, David.10aNumerical analysis of spectral methodsh[electronic resource] :btheory and applications /cDavid Gottlieb and Steven A. Orszag. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1977. a1 electronic text (v, 161 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v26 aIncludes bibliographical references.0 aSpectral methods -- Survey of approximation theory -- Review of convergence theory -- Algebraic stability -- Spectral methods using Fourier series -- Applications of algebraic stability analysis -- Constant coefficient hyperbolic equations -- time differencing -- Efficient implementation of spectral methods -- Numerical results for hyperbolic problems -- Advection-diffusion equation -- Models of incompressible fluid dynamics -- Miscellaneous applications of spectral methods -- Survey of spectral methods and applications -- Properties of Chebyshev and Legendre polynomial expansions.1 aRestricted to subscribers or individual electronic text purchasers.3 aA unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSpectral theory (Mathematics) 0aNumerical analysis. aSpectral methods aApproximation theory aConvergence theory aFourier series aAlgebraic-stability analysis aTime differencing aHyperbolic problems aIncompressible fluid dynamics1 aOrszag, Steven A.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710235z9780898710236w(DLC) 78103429 0aCBMS-NSF regional conference series in applied mathematics ;v26.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2602745nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500023002800820016003031000023003192450188003422600141005303000051006714900060007225040041007825050275008235060072010985200461011705300037016315380036016685380047017045880048017516500028017996500015018276500026018426530025018686530022018936530023019156530015019387000019019537100052019727760037020248300070020618560108021319781611970432SIAM20110426135359.0m eo d cr bn |||m|||a110420s1976 pau ob 100 0 eng d z 76150971 a9781611970432 (electronic bk.) z9780898710229 (pbk.) z0898710227 (pbk.)50aCB25bSIAM a(CaBNVSL)gtp00547253 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA372b.L29 1976eb04a515/.352191 aLaSalle, Joseph P.14aThe stability of dynamical systemsh[electronic resource] /cJ.P. LaSalle ; appendix A, Limiting equations and stability of nonautonomous ordinary differential equations, Z. Artstein. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),cc1976. a1 electronic text (ix, 73 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v25 aIncludes bibliographical references.0 aDifference equations, discrete semidynamical systems -- Ordinary differential equations, local dynamical systems -- Functional differential equations, local semidynamical systems -- Abstract discrete dynamical systems and processes -- Nonautonomous difference equations.1 aRestricted to subscribers or individual electronic text purchasers.3 aAn introduction to aspects of the theory of dynamial systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations. 0aStability. 0aDifference equations. aDifference equations aDynamical systems aLiapunov functions aInvariance1 aArtstein, Zvi.2 aSociety for Industrial and Applied Mathematics.08iPrint version:w(DLC) 76150971 0aCBMS-NSF regional conference series in applied mathematics ;v25.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2502315nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500023002800820016003031000028003192450105003472600140004523000053005924900060006455000167007055040041008725050095009135060072010085200171010805300037012515380036012885380047013245880048013716500050014196530021014696530030014906530024015206530022015447100052015667760037016188300070016558560108017259781611970449SIAM20110426135331.0m eo d cr bn |||m|||a110420s1976 pau ob 000 0 eng d z 76368702 a9781611970449 (electronic bk.) z9780898710212 (pbk.) z0898710219 (pbk.)50aCB24bSIAM a(CaBNVSL)gtp00547252 aCaBNVSLcCaBNVSLdCaBNVSL 0aQA379b.K44 1976eb04a515/.352191 aKeller, Herbert Bishop.10aNumerical solution of two point boundary value problemsh[electronic resource] /cHerbert B. Keller. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1976. a1 electronic text (viii, 59 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v24 aLectures presented at the Regional Research Conference on Numerical Solution of Two-Point Boundary Value Problems, held at Texas Tech University, July 7-11, 1975. aIncludes bibliographical references.0 aShooting methods -- Finite difference methods -- Eigenvalue problems -- Singular problems.1 aRestricted to subscribers or individual electronic text purchasers.3 aLectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aBoundary value problemsxNumerical solutions. aShooting methods aFinite difference methods aEigenvalue problems aSingular problems2 aSociety for Industrial and Applied Mathematics.08iPrint version:w(DLC) 76368702 0aCBMS-NSF regional conference series in applied mathematics ;v23.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2402726nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500028002800820016003081000017003242450125003412600140004663000059006064900060006655000151007255040041008765050214009175060072011315200362012035300037015655380036016025380047016385880048016856500046017336530013017796530013017926530015018056530025018206530013018456530015018586530013018736530015018867100052019017760065019538300070020188560108020889781611970456SIAM20110426135254.0m eo d cr bn |||m|||a110420s1976 paua ob 100 0 eng d z 76366948 a9781611970456 (electronic bk.) z9780898710205 (pbk.) z0898710200 (pbk.)50aCB23bSIAM a(CaBNVSL)gtp00547251 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA76.9.E94bR674 1976eb04a001.6/42191 aRosen, Saul.10aLectures on the measurement and evaluation of the performance of computing systemsh[electronic resource] /cSaul Rosen. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1976. a1 electronic text (vii, 133 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v23 aBased on lectures given at a regional conference on measurement and evaluation of computer systems, College of William and Mary, July 15-19, 1974. aIncludes bibliographical references.0 aIntroduction -- A conceptual model of a computing system -- Personal observation -- Accounting systems -- Software probes -- Hardware monitors -- Benchmark workload models -- Simulation -- Mathematical models.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe scope of the discussion is limited to certain types of general purpose computing systems whose characteristics involve multiprogramming, multiprocessors, communication lines serving many users, and on-line terminal systems. The goal is to gain a better understanding of computing systems through the techniques of measurement and performance evaluation. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aElectronic digital computersxEvaluation. aCapacity aWorkload aBenchmarks aTime-sharing process aSpooling aTurnaround aValidity aSimulation2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710200z9780898710205w(DLC) 76366948 0aCBMS-NSF regional conference series in applied mathematics ;v23.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2303397nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500023002800820017003031000028003202450102003482600140004503000050005904900060006405000105007005040052008055050455008575060072013125200851013845300037022355380036022725380047023085880048023556500064024036530020024676530018024876530023025056530026025286530022025546530020025767100052025967760065026488300070027138560108027839781611970463SIAM20110426135239.0m eo d cr bn |||m|||a110420s1975 pau ob 100 0 eng d z 75329085 a9781611970463 (electronic bk.) z9780898710199 (pbk.) z0898710197 (pbk.)50aCB22bSIAM a(CaBNVSL)gtp00547250 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.P33 1975eb04a515.3/532191 aPayne, Lawrence Edward.10aImproperly posed problems in partial differential equationsh[electronic resource] /cL.E. Payne. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1975. a1 electronic text (v, 76 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v22 aLectures presented at a summer regional conference held at the University of New Mexico in May 1974. aIncludes bibliographical references (p. 62-76).0 aIntroduction -- Methods and examples -- Second order operator equations -- Remarks on continuous dependence on boundary data, coefficients, geometry, and values of the operator -- The Cauchy problem for elliptic equations -- Singular perturbations in improperly posed problems -- Nonexistence and growth of solutions of Schrodinger-type equations -- Finite escape time: concavity methods -- Finite escape time: other methods -- Miscellaneous results.1 aRestricted to subscribers or individual electronic text purchasers.3 aImproperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations, PartialxImproperly posed problems. aCauchy problems aEigenfunction aQuasireversibility aLogarithmic convexity aLagrange identity aWeighted energy2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710197z9780898710199w(DLC) 75329085 0aCBMS-NSF regional conference series in applied mathematics ;v22.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2203198nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500025002800820016003051000020003212450090003412600140004313000052005714900060006235000127006835040041008105050407008515060072012585200576013305300037019065380036019435380047019795880048020266500028020746500024021026530027021266530022021536530024021756530024021996530024022236530030022477100052022777100096023297760065024258300070024908560108025609781611970470SIAM20110426135333.0m eo d cr bn |||m|||a110420s1975 pau ob 100 0 eng d z 75324684 a9781611970470 (electronic bk.) z9780898710182 (pbk.) z0898710189 (pbk.)50aCB21bSIAM a(CaBNVSL)gtp00547249 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA404.5b.A84 1975eb04a515/.552191 aAskey, Richard.10aOrthogonal polynomials and special functionsh[electronic resource] /cRichard Askey. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1975. a1 electronic text (xi, 105 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v21 aLectures given at the National Science Foundation regional conference held at Virginia Polytechnic Institute in June 1974. aIncludes bibliographical references.0 aClassical results for trigonometric polynomials and Fourier series and other isolated results -- Jacobi polynomial series -- Fractional integrals and hypergeometric functions -- Addition formulas -- Linearization of products -- Rational functions with positive power series coefficients -- Connection coefficients -- Positive sums -- More positive sums and applications -- Suggestions for further work.1 aRestricted to subscribers or individual electronic text purchasers.3 aOriginally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes of univalent functions, by applications to quadrature problems, and theorems on the location of zeros of trigonometric polynomials. There are also applications to combinatorial problems, statistics, and physical problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aOrthogonal polynomials. 0aFunctions, Special. aOrthogonal polynomials aSpecial functions aIsometric embedding aUnivalent functions aQuadrature problems aTrigonometric polynomials2 aSociety for Industrial and Applied Mathematics.2 aNational Science Foundation.bRegional Conferenced(1974 :cVirginia Polytechnic Institute)08iPrint version:z0898710189z9780898710182w(DLC) 75324684 0aCBMS-NSF regional conference series in applied mathematics ;v21.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2103301nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500026002800820020003061000024003262450128003502600140004783000057006184900069006755040041007445050496007855060072012815200756013535300037021095380036021465380047021825880048022296500037022776500025023146500015023396530017023546530024023716530014023956530029024096530026024386530024024647100052024887760065025408300070026058560108026759781611970487SIAM20110426135304.0m eo d cr bn |||m|||a110420s1975 paua ob 100 0 eng d z 97019735 a9781611970487 (electronic bk.) z9780898710175 (pbk.) z0898710170 (pbk.)50aCB20bSIAM a(CaBNVSL)gtp00547248 aCaBNVSLcCaBNVSLdCaBNVSL 4aHB849.51b.H66 1975eb04a304.6/01/512211 aHoppensteadt, F. C.10aMathematical theories of populationsh[electronic resource] :bdemographics, genetics, and epidemics /cFrank Hoppensteadt. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1975. a1 electronic text (ix, 72 p.) :bill., digital file.1 aCBMS-NSF regional conference series in applied mathematics ;v20 aIncludes bibliographical references.0 aThe equations of population dynamics: age dependent population growth -- Analysis of the birth rate -- A model of a self-limiting population -- A two-sex model -- Deterministic models in genetics: a brief introduction to Mendelian genetics -- The one-locus, two-allele model -- Age dependent population genetics -- Propagation of a gene in a spatially distributed population -- Theories of epidemics: general theory of contagious phenomena -- Qualitative behavior of deterministic epidemics.1 aRestricted to subscribers or individual electronic text purchasers.3 aMathematical theories of populations have appeared both implicitly and explicitly in many important studies of populations, human populations as well as populations of animals, cells and viruses. They provide a systematic way for studying a population's underlying structure. A basic model in population age structure is studied and then applied, extended and modified, to several population phenomena such as stable age distributions, self-limiting effects, and two-sex populations. Population genetics are studied with special attention to derivation and analysis of a model for a one-locus, two-allele trait in a large randomly mating population. The dynamics of contagious phenomena in a population are studied in the context of epidemic diseases. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aPopulationxMathematical models. 0aPopulation genetics. 0aEpidemics. aDemographics aPopulation genetics aEpidemics aStable age distributions aSelf-limiting effects aTwo-sex populations2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710170z9780898710175w(DLC) 97019735 0aCBMS-NSF regional conference series in applied mathematics ;v20.483SIAMuhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb2002778nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500023002800820017003031000026003202450116003462600140004623000056006024900061006585040041007195050313007605060072010735200266011455300037014115380036014485380047014845880048015316500029015796500019016086500040016276530018016676530024016856530028017096530024017376530023017616530022017847100052018067110146018587760065020048300070020698560109021399781611970494SIAM20110426135325.0m eo d cr bn |||m|||a110420s1975 paua ob 100 0 eng d z 75321992 a9781611970494 (electronic bk.) z9780898710168 (pbk.) z0898710162 (pbk.)50aCB19bSIAM a(CaBNVSL)gtp00547247 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA377b.M67 1975eb04a515/.3532191 aMorawetz, Cathleen S.10aNotes on time decay and scattering for some hyperbolic problemsh[electronic resource] /cCathleen S. Morawetz. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1975. a1 electronic text (v, 78 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v19 aIncludes bibliographical references.0 aRates of decay and conservation methods -- Exponential decay -- Scattering for the wave equation by an obstacle -- Modes of decay or scattering frequencies -- Estimates for reduced equations -- The generalized Huyghens' principle and geometric optics -- A nonlinear dispersive problem -- The inverse problem.1 aRestricted to subscribers or individual electronic text purchasers.3 aSolutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell's equations and non-star shaped reflecting bodies are included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aScattering (Mathematics) 0aWave equation. 0aDifferential equations, Hyperbolic. aWave equation aMaxwell's equations aBoundary value problems aFree space problems aHyperbolic systems aReflecting bodies2 aSociety for Industrial and Applied Mathematics.2 aRegional Conference on Exterior Initial Boundary Value Problems for Hyperbolic Differential Equationsd(1973 :cState University of New York)08iPrint version:z0898710162z9780898710168w(DLC) 75321992 0aCBMS-NSF regional conference series in applied mathematics ;v19.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1902795nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200025001630200022001880280015002100350025002250400030002500500025002800820014003051000020003192450066003392600140004053000058005454900060006035000164006635040041008275050170008685060072010385200563011105300037016735380036017105380047017465880048017936500024018416530013018656530012018786530026018907100052019167110101019687760065020698300070021348560109022049781611970500SIAM20110426135413.0m eo d cr bn |||m|||a110420s1975 paud ob 100 0 eng d z 75321414 a9781611970500 (electronic bk.) z9780898710151 (pbk.) z0898710154 (pbk.)50aCB18bSIAM a(CaBNVSL)gtp00547246 aCaBNVSLcCaBNVSLdCaBNVSL 4aZ695.92b.S27 1975eb04a029.52191 aSalton, Gerard.12aA theory of indexingh[electronic resource] /cGerard Salton. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1975. a1 electronic text (v, 56 p.) :bgraphs, digital file.1 aRegional conference series in applied mathematics ;v18 a"Outgrowth of the Regional Conference on Automatic Information Organization and Retrieval ... held at the University of Missouri in Columbia ... in July 1973." aIncludes bibliographical references.0 aTerm significance computations -- Utilization of term significance -- Characterization of term significance rankings -- Experimental results -- A theory of indexing.1 aRestricted to subscribers or individual electronic text purchasers.3 aPresents a theory of indexing capable of ranking index terms, or subject identifiers in decreasing order of importance. This leads to the choice of good document representations, and also accounts for the role of phrases and of thesaurus classes in the indexing process. This study is typical of theoretical work in automatic information organization and retrieval, in that concepts are used from mathematics, computer science, and linguistics. A complete theory of information retrieval may emerge from an appropriate combination of these three disciplines. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aAutomatic indexing. aIndexing aRanking aInformation retrieval2 aSociety for Industrial and Applied Mathematics.2 aRegional Conference on Automatic Information Organization and Retrievald(1973 :cColumbia, Mo.)08iPrint version:z0898710154z9780898710151w(DLC) 75321414 0aCBMS-NSF regional conference series in applied mathematics ;v18.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1803569nam 2200601 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200022001630200025001850280015002100350025002250400030002500500021002800820018003011000028003192450330003472600140006773000058008174900060008755000113009355040041010485050651010895060072017405200208018125300037020205380036020575380047020935880048021406500040021886500037022286500041022656500042023066530015023486530021023636530018023846530018024026530016024206530015024366530014024516530016024657100051024817100039025327100052025717110100026237760065027238300070027888560109028589781611970517SIAM20110426135300.0m eo d cr bn |||m|||a110420s1975 paua ob 100 0 eng d z 75311866 a9781611970517 (electronic bk.) z0898710146 (pbk.) z9780898710144 (pbk.)50aCB17bSIAM a(CaBNVSL)gtp00547245 aCaBNVSLcCaBNVSLdCaBNVSL 4aQP310.S95 1975eb04a591.1/8522191 aLighthill, M. J.,cSir.10aMathematical biofluiddynamicsh[electronic resource] :ba treatment in book form of the material in the lecture course delivered to the 'Mathematical Biofluiddynamics' Research Conference of the National Science Foundation held from July 16-20, 1973 at Rensselaer Polytechnic Institute, Troy, New York /cSir James Lighthill. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1975. a1 electronic text (ix, 269 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v17 aSponsored by the Conference Board of Mathematical Sciences and supported by the National Science Foundation. aIncludes bibliographical references.0 aIntroduction to biofluiddynamics -- Hydromechanics of aquatic animal propulsion: a survey -- Mathematics of aquatic animal locomotion at low Reynolds number -- Aquatic animal propulsion of high hydromechanical efficiency -- Large-amplitude elongated-body theory of fish locomotion -- Aquatic animal locomotion -- A survey of recent theoretical developments -- Some current investigations of aquatic animal motions -- Animal flight -- On the Weis-Fogh mechanism of lift generation -- Physiological fluid dynamics: a general survey -- Respiratory flow patterns -- Pulse propagation theory -- Blood flow and arterial disease -- The microcirculation.1 aRestricted to subscribers or individual electronic text purchasers.3 aAddresses external biofluiddynamics concerning animal locomotion through surrounding fluid media - and internal biofluiddynamics concerning heat and mass transport by fluid flow systems within an animal. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aAnimal flightxMathematical models. 0aBlood flowxMathematical models. 0aFluid dynamicsxMathematical models. 0aAnimal swimmingxMathematical models. aPropulsion aCarangiform mode aAnimal flight aAnimal motion aFish motion aPhysiology aRespitory aCirculatory2 aConference Board of the Mathematical Sciences.2 aNational Science Foundation (U.S.)2 aSociety for Industrial and Applied Mathematics.2 a'Mathematical Biofluiddynamics' Research Conferenced(1973 :cRensselaer Polytechnic Institute)08iPrint version:z0898710146z9780898710144w(DLC) 75311866 0aCBMS-NSF regional conference series in applied mathematics ;v17.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1702657nam 2200469 a 45000010014000000030005000140050017000190080041000360100017000770200035000940200026001290280015001550350025001700400030001950500024002250820015002491000036002642450089003002600141003893000050005304900072005805000076006525040052007285050349007805060072011295200384012015300037015855380036016225380047016585880048017056500031017536500022017846500033018066530022018396530024018616530017018856530017019027000036019197760053019558300070020088560109020789781611970524SIAM20110426135219.0110420s1974 pau ob 000 0 eng d z 74193347 a9781611970524 (electronic bk.) z9780898710137 (print)50aCB16bSIAM a(CaBNVSL)gtp00547244 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.R6 1974eb04a515/.72191 aRockafellar, R. Tyrrell,d1935-10aConjugate duality and optimizationh[electronic resource] /cR. Tyrrell Rockafellar. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1974] a1 electronic text (x, 74 p.) :bdigital file.1 aRegional conference series in applied mathematics,x0097-4455 ;v16 a"Essentially to be regarded as supplement to the book Convex analysis." aIncludes bibliographical references (p. 73-74).0 aThe role of convexity and duality -- Examples of convex optimization problems -- Conjugate convex functions in paired spaces -- Dual problems and Lagrangians -- Examples of duality schemes -- Continuity and derivatives of convex functions -- Solutions to optimization problems -- Calculating conjugates and subgradients -- Integral functionals.1 aRestricted to subscribers or individual electronic text purchasers.3 aProvides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. An emphasis is placed on the fundamental importance of the concepts of Lagrangian function, saddle-point, and saddle-value. General examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of variations, and optimal control. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aMathematical optimization. 0aConvex functions. 0aDuality theory (Mathematics) aConjugate duality aLagrangian function aSaddle-point aSaddle-value1 aRockafellar, R. Tyrrell,d1935-08iPrint version:z9780898710137w(DLC) 74193347 0aCBMS-NSF regional conference series in applied mathematics ;v16.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1603022nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500025002820820015003071000024003222450099003462600140004453000057005854900060006425000202007025040054009045050256009585060072012145200550012865300037018365380036018735380047019095880048019566500028020046500017020326500023020496500026020726530024020986530029021226530025021516530032021767100052022087760065022608300070023258560109023959781611970531SIAM20110426135417.0m eo d cr bn |||m|||a110420s1974 paua ob 100 0 eng d a 75306288 a9781611970531 (electronic bk.) z089871012X (print) z9780898710120 (print)50aCB15bSIAM a(CaBNVSL)gtp00547243 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA329.4b.W44 1974eb04a515.352191 aWeinberger, Hans F.10aVariational methods for eigenvalue approximationh[electronic resource] /cHans F. Weinberger. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1974. a1 electronic text (v, 156 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v15 a"Based on a series of lectures presented at the N.S.F.-C.B.M.S. Regional Conference on Approximation of Eigenvalues of Differential Operators held during June 26-30, 1972 at Vanderbilt University." aIncludes bibliographical references (p. 151-156).0 aWhy study Eigenvalues -- The setting: linear vector spaces and their properties -- The existence and characterization of Eigenvalues -- Improvable bounds for Eigenvalues -- Eigenvector approximation -- Finite difference equations -- Some other bounds.1 aRestricted to subscribers or individual electronic text purchasers.3 aProvides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential operators. 0aEigenvalues. 0aMaxima and minima. 0aApproximation theory. aVariational methods aEigenvalue approximation aLinear vector spaces aFinite difference equations2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871012Xz9780898710120w(DLC) 75306288 0aCBMS-NSF regional conference series in applied mathematics ;v15.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1502378nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500023002820820015003051000018003202450100003382600140004383000052005784900060006305040041006905050194007315060072009255200300009975300037012975380036013345380047013705880048014176500025014656500026014906530018015166530024015346530023015586530019015817100052016007760065016528300070017178560109017879781611970548SIAM20110426135411.0m eo d cr bn |||m|||a110420s1974 pau ob 100 0 eng d z 74182915 a9781611970548 (electronic bk.) z0898710103 (print) z9780898710106 (print)50aCB13bSIAM a(CaBNVSL)gtp00547242 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA320b.S53 1974eb04a515/.72191 aSinger, Ivan.14aThe theory of best approximation and functional analysish[electronic resource] /cIvan Singer. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1974. a1 electronic text (vii, 95 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v13 aIncludes bibliographical references.0 aCharacterizations of elements of best approximation -- Uniqueness of elements of best approximation -- Properties of metric projections -- Best approximations by elements of nonlinear sets.1 aRestricted to subscribers or individual electronic text purchasers.3 aResults and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aFunctional analysis. 0aApproximation theory. aApproximation aFunctional analysis aMetric projections aNonlinear sets2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710103z9780898710106w(DLC) 74182915 0aCBMS-NSF regional conference series in applied mathematics ;v13.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1303478nam 2200541 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500023002820820016003051000022003212450077003432600142004203000058005624900060006205000197006805040054008775050424009315060072013555200785014275300037022125380036022495380047022855880048023326500019023806500019023996530034024186530021024526530014024736530030024876530034025176530023025516530015025747100051025897100052026407760065026928300070027578560109028279781611970555SIAM20110426135213.0m eo d cr bn |||m|||a110420s1973 paua ob 100|0 eng d z 74159921 a9781611970555 (electronic bk.) z089871009X (print) z9780898710090 (print)50aCB12bSIAM a(CaBNVSL)gtp00547241 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA224b.S29 1973eb04a511/.422191 aSchoenberg, I. J.10aCardinal spline interpolationh[electronic resource] /cI.J. Schoenberg. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[c1973] a1 electronic text (vi, 119 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v12 a"Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." aIncludes bibliographical references (p. 121-125).0 aThe basis property of B-splines -- The exponential Euler splines -- Cardinal spline interpolation -- Cardinal hermite interpolation -- Other spaces and semi-cardinal interpolation -- Finite spline interpolation problems -- Semi-cardinal interpolation and quadratures with general boundary conditions -- extremum and limit properties -- Applications: approximations of Fourier transforms and the smoothing of histograms.1 aRestricted to subscribers or individual electronic text purchasers.3 aAs this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSpline theory. 0aInterpolation. aCardinal spline interpolation aSpline functions aB-splines aExponential Euler splines aExtremum and limit properties aFourier transforms aHistograms2 aConference Board of the Mathematical Sciences.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z089871009Xz9780898710090w(DLC) 74159921 0aCBMS-NSF regional conference series in applied mathematics ;v12.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1202933nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890280015002120350025002270400030002520500023002820820018003051000018003232450127003412600140004683000057006084900062006655000238007275040052009655050233010175060072012505200368013225300037016905380036017275380047017635880048018106500017018586500032018756500061019076530023019686530022019916530016020137100051020297100039020807100052021197760065021718300070022368560109023069781611970562SIAM20110426135237.0m eo d cr bn |||m|||a110420s1973 paua ob 000 0 eng d a 73180239 a9781611970562 (electronic bk.) z9780898711776 (print) z0898711770 (print)50aCB11bSIAM a(CaBNVSL)gtp00547240 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA927b.L35 1973eb04a531/.11332191 aLax, Peter D.10aHyperbolic systems of conservation laws and the mathematical theory of shock wavesh[electronic resource] /cPeter D. Lax. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1973. a1 electronic text (ix, 48 p.) :bill., digital file.1 aRegional conference series in applied mathematics, ;v11 aBased on lectures delivered at a regional conference held at the University of California at Los Angeles in September, 1971, arranged by the Conference Board of Mathematical Sciences, and sponsored by the National Science Foundation. aIncludes bibliographical references (p. 47-48).0 aQuasi-linear hyperbolic equations -- Conservation laws -- Single conservation laws -- The decay of solutions as t tends to infinity -- Hyperbolic systems of conservation laws -- Pairs of conservation laws -- Notes -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aShock waves. 0aConservation laws (Physics) 0aDifferential equations, HyperbolicxNumerical solutions. aHyperbolic systems aConservation laws aShock waves2 aConference Board of the Mathematical Sciences.2 aNational Science Foundation (U.S.)2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711770z9780898711776w(DLC) 73180239 0aCBMS-NSF regional conference series in applied mathematics ;v11.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1102237nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890280015002120350025002270400030002520500025002820820019003071000019003262450095003452600141004403000058005814900060006395040041006995050157007405060072008975200209009695300037011785380036012155380047012515880048012986500020013466530023013666530015013896530020014046530021014246530014014457100052014597760065015118300070015768560109016469781611970579SIAM20110426135302.0m eo d cr bn |||m|||a110420s1973 paua ob 100|0 eng d a 73162018 a9781611970579 (electronic bk.) z9780898710083 (print) z0898710081 (print)50aCB10bSIAM a(CaBNVSL)gtp00547239 aCaBNVSLcCaBNVSLdCaBNVSL 4aQH323.5b.R83 1973eb04a574/.01/512191 aRubinow, S. I.10aMathematical problems in the biological sciencesh[electronic resource] /cSol I. Rubinow. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1973] a1 electronic text (vii, 90 p.) :bill., digital file.1 aRegional conference series in applied mathematics ;v10 aIncludes bibliographical references.0 aThe circulatory system and the flow of blood -- Tracer analysis of physiological systems -- Enzyme kinetics -- Cell populations -- Diffusion in biology.1 aRestricted to subscribers or individual electronic text purchasers.3 aRepresents a small and highly selective sample of the quantitative approach to biology. The author encourages the reader to disseminate further the cause of mathematics applied to the biological sciences. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aBiomathematics. aCirculatory system aBlood flow aEnzyme kinetics aCell populations aDiffusion2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710081z9780898710083w(DLC) 73162018 0aCBMS-NSF regional conference series in applied mathematics ;v10.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb1002887nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890280015002120350025002270400030002520500025002820820014003071000032003212450113003532600141004663000050006074900059006575040052007165050232007685060072010005200605010725300037016775380036017145380047017505880048017976500038018456500026018836500036019096530027019456530020019726530023019926530023020156530011020386530025020497100052020747760065021268300069021918560109022609781611970586SIAM20110426135223.0m eo d cr bn |||m|||a110420s1973 pau ob 000 0 eng d z 73161958 a9781611970586 (electronic bk.) z9780898710076 (print) z0898710073 (print)50aCB09bSIAM a(CaBNVSL)gtp00547238 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA276.7b.D87 1973eb04a519.52191 aDurbin, J.q(James),d1923-10aDistribution theory for tests based on the sample distribution functionh[electronic resource] /cJ. Durbin. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1973] a1 electronic text (x, 64 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v9 aIncludes bibliographical references (p. 59-64).0 aKolmogorov-Smirnov tests, finite-sample case -- Asymptotic theory of Kolmogorov-Smirnov tests -- Cramer-von Mises tests -- Tests on the circle -- Two-sample tests -- Tests based on the sample d.f. when parameters are estimated.1 aRestricted to subscribers or individual electronic text purchasers.3 aPresents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDistribution (Probability theory) 0aSampling (Statistics) 0aStatistical hypothesis testing. aSampling distributions aTest statistics aTwo-sample problem aOne-sample problem aMarkov aStochastic processes2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710073z9780898710076w(DLC) 73161958 0aCBMS-NSF regional conference series in applied mathematics ;v9.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0902945nam 2200457 a 45000010014000000030005000140050017000190080041000360100017000770200035000940200023001290200026001520280015001780350025001930400030002180500025002480820014002731000022002872450086003092600142003953000052005374900059005895040054006485050904007025060072016065200216016785300037018945380036019315380047019675880048020146500025020626500025020876530026021126530024021386530015021626530015021777100052021927760065022448300069023098560109023789781611970593SIAM20110426135348.0110420s1972 pau ob 100 0 eng d a 73155622 a9781611970593 (electronic bk.) z0898710065 (print) z9780898710069 (print)50aCB08bSIAM a(CaBNVSL)gtp00547237 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA279.7b.C45 1972eb04a519.52191 aChernoff, Herman.10aSequential analysis and optimal designh[electronic resource] /cHerman Chernoff. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[c1972] a1 electronic text (ix, 119 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v8 aIncludes bibliographical references (p. 117-119).0 aPreliminaries on probability -- Generalities about the conventional theory of design of experiments -- Optimal sample size -- Preliminaries on regression -- Design for linear regression: Elfving's method -- Maximum-likelihood estimation -- Locally optimal designs for estimation -- More design in regression experiments -- testing hypotheses -- Optimal sample size in testing -- Sequential probability-ratio test -- Optimality of sequential probability-ratio test -- Motivation for an approach to sequential design of experiments in testing hypotheses -- Asymptotic optimality of procedure a in sequential design -- Extensions and open questions in sequential design -- The problem of adjacent hypotheses -- Testing for the sign of a normal mean: no indifference zone -- Bandit problems -- Sequential estimation of a normal mean -- Sequential estimation of the common mean of two normal populations.1 aRestricted to subscribers or individual electronic text purchasers.3 aAn exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aSequential analysis. 0aExperimental design. aDesign of experiments aSequential analysis aRegression aEstimation2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710065z9780898710069w(DLC) 73155622 0aCBMS-NSF regional conference series in applied mathematics ;v8.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0802259nam 2200469 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500028002820820016003101000020003262450095003462600142004413000053005834900059006365040041006955050206007365060072009425200202010145300037012165380036012535380047012895880048013366500025013846500027014096530020014366530022014566530016014787100052014947760065015468300069016118560109016809781611970609SIAM20110426135403.0m eo d cr bn |||m|||a110420s1972 pau ob 100 0 eng d a 73161108 a9781611970609 (electronic bk.) z0898710057 (print) z9780898710052 (print)50aCB07bSIAM a(CaBNVSL)gtp00547236 aCaBNVSLcCaBNVSLdCaBNVSL 4aQC173.59.M3bP46 1972eb04a530.1/12191 aPenrose, Roger.10aTechniques of differential topology in relativityh[electronic resource] /cRoger Penrose. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[c1972] a1 electronic text (viii, 68 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v7 aIncludes bibliographical references.0 aCausality and chronology -- Properties of pasts and futures -- Global causality conditions -- Domains of dependence -- The space of causal curves -- Geodesics as maximal curves -- Singularity theorems.1 aRestricted to subscribers or individual electronic text purchasers.3 aAcquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aRelativity (Physics) 0aDifferential topology. aQuantum physics aRelativity theory aSpace-times2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710057z9780898710052w(DLC) 73161108 0aCBMS-NSF regional conference series in applied mathematics ;v7.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0702846nam 2200505 a 45000010014000000030005000140050017000190080041000360100022000770200035000990200026001340200023001600280015001830350025001980400030002230500025002530820018002781000026002962450111003222600141004333000051005744900059006255000171006845040052008555050302009075060072012095200333012815300037016145380036016515380047016875880048017346500020017826500031018026500035018336530038018686530029019066530020019356530041019556530022019966530027020187100052020457760065020978300069021628560109022319781611970616SIAM20110426135352.0110420s1972 pau ob 000 0 eng d a 72192396 //r81 a9781611970616 (electronic bk.) z9780898710045 (print) z0898710049 (print)50aCB06bSIAM a(CaBNVSL)gtp00547235 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.L52 1972eb04a629.8/3122191 aLions, Jacques Louis.10aSome aspects of the optimal control of distributed parameter systemsh[electronic resource] /cJ.L. Lions. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),cc1972. a1 electronic text (vi, 92 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v6 a"[Based on] lectures given at the National Science Foundation Regional Conference on Control Theory, August 23-27, 1971, at the University of Maryland, College Park." aIncludes bibliographical references (p. 88-92).0 aPartial differential inequalities and unilateral problems -- Variational inequalities -- Problems of optimal control for linear distributed parameter systems -- Nonlinear systems -- Optimization of geometrical elements -- Singular perturbations and optimal control -- Remarks on numerical methods.1 aRestricted to subscribers or individual electronic text purchasers.3 aThe applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand very rapidly. The author does not attempt to cover the field but does discuss a number of the more interesting areas of application. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aControl theory. 0aMathematical optimization. 0aDistributed parameter systems. aPartial differential inequalities aVariational inequalities aOptimal control aLinear distributed parameter systems aNonlinear systems aSingular perturbations2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710049z9780898710045w(DLC) 72192396 0aCBMS-NSF regional conference series in applied mathematics ;v6.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0602595nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890280015002120350025002270400030002520500026002820820016003081000026003242450111003502600142004613000051006034900059006545040052007135050166007655060072009315200438010035300037014415380036014785380047015145880048015616500017016096500020016266500019016466500019016656530016016846530016017006530024017166530023017406530019017637100052017827760065018348300069018998560109019689781611970623SIAM20110426135419.0m eo d cr bn |||m|||a110420s1971 pau ob 100 0 eng d z 72179427 a9781611970623 (electronic bk.) z9780898711769 (print) z0898711762 (print)50aCB05bSIAM a(CaBNVSL)gtp00547234 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA273.43b.B55 1971eb04a519.2/32191 aBillingsley, Patrick.10aWeak convergence of measuresh[electronic resource] :bapplications in probability /cPatrick Billingsley. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[c1971] a1 electronic text (ix, 31 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v5 aIncludes bibliographical references (p. 28-31).0 aWeak convergence -- Random elements and convergence in distribution -- Prokhorov's theorem -- The space C -- A maximal inequality -- Tightness -- Limit theorems.1 aRestricted to subscribers or individual electronic text purchasers.3 aA treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables. Mapping theorems are proved via Skorokhod's representation theorem; Prokhorov's theorem is proved by construction of a content. The limit theorems at the conclusion are proved under a new set of conditions that apply fairly broadly, but at the same time make possible relatively simple proofs. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aConvergence. 0aMeasure theory. 0aMetric spaces. 0aProbabilities. aConvergence aProbability aProkhorov's theorem aMaximal inequality aLimit theorems2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898711762z9780898711769w(DLC) 72179427 0aCBMS-NSF regional conference series in applied mathematics ;v5.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0502790nam 2200517 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890280015002120350025002270400030002520500026002820820016003081000031003242450078003552600142004333000050005754900059006255000186006845040052008705050386009225060072013085200226013805380036016065380047016425880048016896500040017376530032017776530023018096530020018326530018018526530020018706530033018906530031019237100051019547100052020057760037020578300069020948560109021639781611970630SIAM20110426135354.0m eo d cr bn |||m|||a110420s1971 pau ob 100 0 eng d z 72175332 a9781611970630 (electronic bk.) z9780898711752 (print) z0898711754 (print)50aCB04bSIAM a(CaBNVSL)gtp00547233 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA273.67b.B33 1971eb04a519.5/32191 aBahadur, Raghu Raj,d1924-10aSome limit theorems in statisticsh[electronic resource] /cR.R. Bahadur. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[c1971] a1 electronic text (v, 42 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v4 a"Based on ten lectures given ... at a conference on limit theorems in statistics, held at the Department of Statistics of Florida State University at Tallahassee in September 1969." aIncludes bibliographical references (p. 41-42).0 aMoment-generating functions -- Chernoff's theorem -- The Kullback- Leibler information number -- Some examples of large deviation probabilities -- Stein's lemma -- Asymptotic effective variances -- Exact slopes of test statistics -- Some examples of exact slopes -- The existence and consistency of maximum likelihood estimates -- The exact slope of the likelihood ratio statistic.1 aRestricted to subscribers or individual electronic text purchasers.3 aA discussion of some topics in the theory of large deviations such as moment-generating functions and Chernoff's theorem, and of aspects of estimation and testing in large samples, such as exact slopes of test statistics. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aLimit theorems (Probability theory) aMoment generating functions aChernoff's theorem aLarge deviation aStein's lemma aTest statistics aMaximum likelihood estimates aLikelihood ratio statistic2 aConference Board of the Mathematical Sciences.2 aSociety for Industrial and Applied Mathematics.08iPrint version:w(DLC) 72175332 0aCBMS-NSF regional conference series in applied mathematics ;v4.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0402828nam 2200565 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890280015002120350025002270400030002520500023002820820014003051000022003192450109003412600142004503000051005924900059006435040041007025050375007435060072011185200308011905300037014985380036015355380047015715880048016186500024016666500026016906500025017166530024017416530025017656530023017906530014018136530018018276530028018456530021018736530026018946530024019206530023019447100052019677760065020198300069020848560109021539781611970647SIAM20110426135231.0m eo d cr bn |||m|||a110420s1971 pau ob 100 0 eng d z 72085503 a9781611970647 (electronic bk.) z9780898710038 (print) z0898710030 (print)50aCB03bSIAM a(CaBNVSL)gtp00547232 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA297b.V29 1971eb04a519.42191 aVarga, Richard S.10aFunctional analysis and approximation theory in numerical analysish[electronic resource] /cR.S. Varga. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[c1971] a1 electronic text (ix, 73 p.) :bdigital file.1 aRegional conference series in applied mathematics ;v3 aIncludes bibliographical references.0 aL-splines -- Generalizations of L-splines -- Interpolation and approximation results from piece-wise polynomials in higher dimensions -- The Rayleigh-Ritz Galerkin method for nonlinear boundary value problems -- Fourier analysis -- Least squares methods -- Eigenvalue problems -- Parabolic problems -- Chebyshev semidiscrete approximations for linear parabolic problems.1 aRestricted to subscribers or individual electronic text purchasers.3 aSurveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aNumerical analysis. 0aApproximation theory. 0aFunctional analysis. aFunctional analysis aApproximation theory aNumerical analysis aL-splines aInterpolation aBoundary value problems aFourier analysis aLeast squares methods aEigenvalue problems aParabolic problems2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710030z9780898710038w(DLC) 72085503 0aCBMS-NSF regional conference series in applied mathematics ;v3.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0302697nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200026001630200023001890280015002120350025002270400030002520500026002820820016003081000044003242450076003682600140004443000050005844900068006345000070007025040052007725050334008245060072011585200315012305300037015455380036015825380047016185880048016656500042017136530024017556530014017796530031017936530020018246530021018446530031018657100052018967760065019488300069020138560109020829781611970654SIAM20110426135208.0m eo d cr bn |||m|||a110420s1972 pau ob 000 0 eng d z 70027771 a9781611970654 (electronic bk.) z9780898710021 (print) z0898710022 (print)50aCB02bSIAM a(CaBNVSL)gtp00547231 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA279.5b.L553 1972eb04a519.5/42191 aLindley, D. V.q(Dennis Victor),d1923-10aBayesian statisticsh[electronic resource] :ba review /cD.V. Lindley. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1972. a1 electronic text (v, 83 p.) :bdigital file.1 aCBMS-NSF regional conference series in applied mathematics ;v2 aBased on 10 lectures given at Oregon State University, July 1970. aIncludes bibliographical references (p. 75-83).0 aCoherence: sampling-theory statistics -- Basic ideas in Bayesian statistics -- Sequential experimentation -- Finite population -- Sampling theory -- Robustness -- Multiparameter problems -- Tolerance regions and predictive distributions -- Multinomial data -- Asymptotic results -- Empirical Bayes and multiple decision problems.1 aRestricted to subscribers or individual electronic text purchasers.3 aA study of those statistical ideas that use a probability distribution over parameter space. The first part describes the axiomatic basis in the concept of coherence and the implications of this for sampling theory statistics. The second part discusses the use of Bayesian ideas in many branches of statistics. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aBayesian statistical decision theory. aBayesian statistics aCoherence aSampling-theory statistics aSampling theory aMultinomial data aMultiple decision problems2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710022z9780898710021w(DLC) 70027771 0aCBMS-NSF regional conference series in applied mathematics ;v2.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0202661nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500023002820820017003051000035003222450093003572600141004503000051005914900063006425040041007055050262007465060072010085200424010805380036015045380047015405880048015876500059016356530022016946530030017166530023017466530030017696530021017996530024018206530028018447100052018727760065019248300069019898560109020589781611970661SIAM20110426135329.0m eo d cr bn |||m|||a110420s1971 pau ob 100 0 eng d z 75027373 a9781611970661 (electronic bk.) z0898710014 (print) z9780898710014 (print)50aCB01bSIAM a(CaBNVSL)gtp00547230 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA374b.B57 1971eb04a515/.3532191 aBirkhoff, Garrett,d1911-1996.14aThe numerical solution of elliptic equationsh[electronic resource] /cGarrett Birkhoff. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c[1971] a1 electronic text (xi, 78 p.) :bdigital file.1 aRegional conference series in applied mathematics ;vno. 1 aIncludes bibliographical references.0 aTypical elliptic problems -- Classical analysis -- Difference approximations -- Relaxation methods -- Semi-iterative methods -- Integral equation methods -- Approximation of smooth functions -- Variational methods -- Applications to boundary value problems.1 aRestricted to subscribers or individual electronic text purchasers.3 aA concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing -- the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aDifferential equations, EllipticxNumerical solutions. aElliptic problems aDifference approximations aRelaxation methods aIntegral equation methods aSmooth functions aVariational methods aBoundary value problems2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898710014z9780898710014w(DLC) 75027373 0aCBMS-NSF regional conference series in applied mathematics ;v1.483SIAM:uhttp://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb0104215nam 2200601 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200018001860280015002040350025002190400030002440500026002740820018003001000020003182450177003382600140005153000060006554900065007155000057007805040064008375050833009015060072017345201049018065300037028555380036028925380047029285880048029756500033030236500023030566530015030796530012030946530018031066530031031246530028031556530016031836530018031996530023032176530022032406530021032626530016032837000018032997000021033177100052033387760065033908300064034558560094035199781611970760SIAM20110421122941.0m eo d cr bn |||m|||a981214s1999 paua ob 001 0 eng d z 98052374 a9781611970760 (electronic bk.) z0898714117 (print) z978089871411150aAM16bSIAM a(CaBNVSL)gtp00547229 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.H354 1999eb04a629.8/3122211 aHassibi, Babak.10aIndefinite-quadratic estimation and controlh[electronic resource] :ba unified approach to Hp2s and H [infinity] theories /cBabak Hassibi, Ali H. Sayed, Thomas Kailath. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1999. a1 electronic text (xvii, 555 p.) :bill., digital file.1 aSIAM studies in applied and numerical mathematics ;vvol. 16 aOn t.p. "[infinity]" appears as the infinity symbol. aIncludes bibliographical references (p. 531-548) and index.0 aPreface -- Chapter 1: Introduction and motivation -- Chapter 2: Linear estimation in Krein spaces -- Chapter 3: State-space models in Krein space -- Chapter 4: Finite-horizon H [infinity] filtering -- Chapter 5: Array algorithms -- Chapter 6: Several related problems -- Chapter 7: H [infinity] optimality of the LMS algorithm -- Chapter 8: Duality -- Chapter 9: Finite-horizon control problems -- Chapter 10: Input-output approach to Hp2s and H [infinity] estimation -- Chapter 11: Input-output approach to Hp2s and H [infinity] control -- Chapter 12: The discrete-time algebraic Riccati equation -- Chapter 13: Infinite-horizon results for state-space models -- Chapter 14: Asymptotic behavior -- Chapter 15: Optimal H [infinity] solutions -- Chapter 16: Continuous-time results and final remarks -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis monograph presents a unified mathematical framework for a wide range of problems in estimation and control. The authors discuss the two most commonly used methodologies: the stochastic Hp2s approach and the deterministic (worst-case) H [infinity] approach. Despite the fundamental differences in the philosophies of these two approaches, the authors have discovered that, if indefinite metric spaces are considered, they can be treated in the same way and are essentially the same. The benefits and consequences of this unification are pursued in detail, with discussions of how to generalize well-known results from Hp2s theory to H [infinity] setting, as well as new results and insight, the development of new algorithms, and applications to adaptive signal processing. The authors deliberately have placed primary emphasis on estimation problems which enable one to solve all the relevant control problems in detail. They also deal mostly with discrete-time systems, since these are the ones most important in current applications. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aH [infinity symbol] control. 0aEstimation theory. aEstimation aControl aHp2s theory aH [infinity symbol] theory aIndefinite metric space aKrein space aHilbert space aState-space models aLinear estimation aArray algorithms aGame theory1 aSayed, Ali H.1 aKailath, Thomas.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714117z9780898714111w(DLC) 98052374 0aSIAM studies in applied and numerical mathematics ;vv. 16.483SIAMuhttp://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am1604574nam 2200505 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500026002820820016003082450113003242600141004373000052005784900051006305040064006815051455007455050538022005060072027385200640028105300037034505380036034875380047035235880048035706500020036186500025036386500031036636530024036946530024037186530019037426530027037617000021037887100052038097760065038618300047039268560095039739781611970777SIAM20110421122947.0m eo d cr bn |||m|||a940323s1994 pau ob 001 0 eng d z 94010477 a9781611970777 (electronic bk.) z0898714850 (print) z9780898714852 (print)50aAM15bSIAM a(CaBNVSL)gtp00547228 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.3b.L489 1994eb0 a515/.6422000aLinear matrix inequalities in system and control theoryh[electronic resource] /cStephen Boyd ... [et al.]. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),cc1994. a1 electronic text (ix, 193 p.) :bdigital file.1 aSIAM studies in applied mathematics ;vvol. 15 aIncludes bibliographical references (p. 161-186) and index.0 aPreface -- Chapter 1: Introduction. Overview; A brief history of LMIs in control theory; Notes on the style of the book; Origin of the book -- Chapter 2: Some standard problems involving LMIs. Linear matrix inequalities; Some standard problems; Ellipsoid algorithm; Interior-point methods; Strict and nonstrict LMIs; Miscellaneous results on matrix inequalities; Some LMI problems with analytic solutions -- Chapter 3: Some matrix problems. Minimizing condition number by scaling; Minimizing condition number of a positive-definite matrix; Minimizing norm by scaling; Rescaling a matrix positive-definite; Matrix completion problems; Quadratic approximation of a polytopic norm; Ellipsoidal approximation -- Chapter 4: Linear differential inclusions. Differential inclusions; Some specific LDIs; Nonlinear system analysis via LDIs -- Chapter 5: Analysis of LDIs: state properties. Quadratic stability; invariant ellipsoids -- Chapter 6: Analysis of LDIs: input/output properties. Input-to-state properties; State-to-output properties; Input-to-output properties -- Chapter 7: State-feedback synthesis for LDIs. Static state-feedback controllers; State properties; Input-to-state properties; State-to-output properties; Input-to-output properties; Observer-based controllers for nonlinear systems -- Chapter 8: Lure and multiplier methods. Analysis of Lure systems; Integral quadratic constraints; Multipliers for systems with unknown parameters -- 0 aChapter 9: Systems with multiplicative noise. Analysis of systems with multiplicative noise; State-feedback synthesis -- Chapter 10: Miscellaneous problems. Optimization over an affine family of linear systems; Analysis of systems with LTI perturbations; Positive orthant stabilizability; Linear systems with delays; Interpolation problems; The inverse problem of optimal control; System realization problems; Multi-criterion LQG; Nonconvex multi-criterion quadratic problems -- Notation -- List of acronyms -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aIn this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aControl theory. 0aMatrix inequalities. 0aMathematical optimization. aMatrix inequalities aConvex optimization aControl theory aInterior-point methods1 aBoyd, Stephen P.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898714850z9780898714852w(DLC) 94010477 0aSIAM studies in applied mathematics ;v15.483SIAM:uhttp://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am1504733nam 2200529 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500023002820820016003051000051003212450162003722600140005343000060006744900051007345040064007855050968008495060072018175201554018895300037034435380036034805380047035165880048035636500050036116500041036616530023037026530026037256530029037516530036037806530035038166530028038517000042038797000024039217100052039457760065039978300047040628560094041099781611970784SIAM20110421122928.0m eo d cr bn |||m|||a941107s1995 paua ob 001 0 eng d z 94042996 a9781611970784 (electronic bk.) z0898713331 (print) z9780898713336 (print)50aAM14bSIAM a(CaBNVSL)gtp00547227 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA379b.V39 1995eb04a515/.352201 aVasileva, A. B.q(Adelaida Borisovna),d1926-14aThe boundary function method for singular perturbation problemsh[electronic resource] /cAdelaida B. Vasileva, Valentin F. Butuzov, and Leonid V. Kalachev. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1995. a1 electronic text (xiii, 221 p.) :bill., digital file.1 aSIAM studies in applied mathematics ;vvol. 14 aIncludes bibliographical references (p. 209-217) and index.0 aChapter 1: Basic ideas. Regular and singular perturbations; Asymptotic approximations; Asymptotic and convergent series; Examples of asymptotic expansions for solutions of regularly and singularly perturbed problems -- Chapter 2: Singularly perturbed ordinary differential equations. Initial value problem; The critical case; Boundary value problems; Spike-type solutions and other contrast (dissipative) structures -- Chapter 3: Singularly perturbed partial differential equations. The method of Vishik-Lyusternik; Corner boundary functions; The smoothing procedure; Systems of equations in critical cases; Periodic solutions; Hyperbolic systems -- Chapter 4: Applied problems. Mathematical model of combustion process in the case of autocatalytic reaction; Heat conduction in thin bodies; Application of the boundary function method in the theory of semiconductor devices; Relaxation waves in the FitzHugh-Nagumo system; On some other applied problems -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis is the first book published in English devoted solely to the boundary function method, which is one of the asymptotic methods. This method provides an effective and simple way to obtain asymptotic approximations for the solutions of certain ordinary and partial differential equations containing small parameters in front of the highest derivatives. These equations, called singularly perturbed equations, are often used in modeling. In addition to numerous examples, the book includes discussions on singularly perturbed problems from chemical kinetics and heat conduction, semiconductor device modeling, and mathematical biology. The book also contains a variety of original ideas and explicit calculations previously available only in journal literature, as well as many concrete applied problems illustrating the boundary function method algorithms. Quite general asymptotic results described in the book are rigorous in the sense that, along with the asymptotic algorithms, in most cases the theorems on estimation of the remainder terms are presented. A survey of results of Russian mathematicians on the subject is provided; many of these results are not well known in the West. Based on the Russian edition of the textbook by Vasil'eva and Butuzov, this American edition, prepared by Kalachev, differs in many aspects. The text of the book has been revised substantially, some new material has been added to every chapter, and more examples, exercises, and new references on asymptotic methods and their applications have been included. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aBoundary value problemsxNumerical solutions. 0aSingular perturbations (Mathematics) aAsymptotic methods aSingular perturbation aBoundary function method aOrdinary differential equations aPartial differential equations aBoundary value problems1 aButuzov, V. F.q(Valentin Fedorovich)1 aKalachev, Leonid V.2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898713331z9780898713336w(DLC) 94042996 0aSIAM studies in applied mathematics ;v14.483SIAMuhttp://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am1403117nam 2200469 a 45000010014000000030005000140050017000190080041000360100017000770200035000940200023001290200026001520280015001780350025001930400030002180500027002480820016002751000023002912450129003142600141004433000052005844900051006365040064006875050465007515060072012165200782012885300037020705380036021075380047021435880048021906500028022386500024022666530027022906530023023176530017023406530026023576530018023837000039024017760065024408300047025058560095025529781611970791SIAM20110421122943.0931022s1994 pau ob 001 0 eng d z 93038912 a9781611970791 (electronic bk.) z0898715156 (print) z9780898715156 (print)50aAM13bSIAM a(CaBNVSL)gtp00547226 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA402.5b.N4615 1994eb04a519.7/62201 aNesterov, IU. E.10aInterior-point polynomial algorithms in convex programmingh[electronic resource] /cYurii Nesterov and Arkadii Nemirovskii. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),cc1994. a1 electronic text (ix, 405 p.) :bdigital file.1 aSIAM studies in applied mathematics ;vvol. 13 aIncludes bibliographical references (p. 387-402) and index.0 aChapter 1: Self-concordant functions and Newton method -- Chapter 2: Path-following interior-point methods -- Chapter 3: Potential reduction interior-point methods -- Chapter 4: How to construct self- concordant barriers -- Chapter 5: Applications in convex optimization -- Chapter 6: Variational inequalities with monotone operators -- Chapter 7: Acceleration for linear and linearly constrained quadratic problems -- Bibliography -- Appendix 1 -- Appendix 2.1 aRestricted to subscribers or individual electronic text purchasers.3 aSpecialists working in the areas of optimization, mathematical programming, or control theory will find this book invaluable for studying interior-point methods for linear and quadratic programming, polynomial-time methods for nonlinear convex programming, and efficient computational methods for control problems and variational inequalities. A background in linear algebra and mathematical programming is necessary to understand the book. The detailed proofs and lack of "numerical examples" might suggest that the book is of limited value to the reader interested in the practical aspects of convex optimization, but nothing could be further from the truth. An entire chapter is devoted to potential reduction methods precisely because of their great efficiency in practice. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aInterior-point methods. 0aConvex programming. aInterior-point methods aConvex programming aOptimization aQuadratic programming aApproximation1 aNemirovskii, Arkadii Semenovich.08iPrint version:z0898715156z9780898715156w(DLC) 93038912 0aSIAM studies in applied mathematics ;v13.483SIAM:uhttp://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am1302955nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500023002820820017003051000028003222450108003502600140004583000058005984900051006565040064007075050448007715060072012195200625012915300037019165380036019535380047019895880048020366500021020846530020021056530019021256530021021446530024021657000026021897100052022157760065022678300047023328560094023799781611970807SIAM20110421122949.0m eo d cr bn |||m|||a920113s1992 paua ob 001 0 eng d z 92004050 a9781611970807 (electronic bk.) z0898712661 (print) z9780898712667 (print)50aAM12bSIAM a(CaBNVSL)gtp00547225 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA931b.F33 1992eb04a531/.3822201 aFabrizio, Mauro,d1940-10aMathematical problems in linear viscoelasticityh[electronic resource] /cMauro Fabrizio, Angelo Morro. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1992. a1 electronic text (ix, 203 p.) :bill., digital file.1 aSIAM studies in applied mathematics ;vvol. 12 aIncludes bibliographical references (p. 193-199) and index.0 aIntroduction -- Part I: Preliminaries on materials with fading memory -- Part II: Thermodynamics of simple materials -- Part III: Linear viscoelasticity -- Part IV: Existence, uniqueness, and stability -- Part V: Variational formulations and minimum properties -- Part VI: Wave propagation -- Part VII: Unbounded relaxation functions and Rayleigh problem -- Appendix: Precis of the properties of the relaxation function -- References -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aDescribes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aViscoelasticity. aViscoelasticity aThermodynamics aWave propagation aRelaxation function1 aMorro, Angelo,d1946-2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712661z9780898712667w(DLC) 92004050 0aSIAM studies in applied mathematics ;v12.483SIAMuhttp://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am1203100nam 2200481 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500023002820820017003051000023003222450074003452600140004193000058005594900046006175040051006635050383007145060072010975200891011695300037020605380036020975380047021335880048021806500023022286500022022516500022022736500024022956530022023196530019023417100052023607760065024128300047024778560094025249781611970814SIAM20110421122934.0m eo d cr bn |||m|||a900525s1990 paua ob 001 0 eng d z 90038332 a9781611970814 (electronic bk.) z0898712459 (print) z9780898712452 (print)50aAM11bSIAM a(CaBNVSL)gtp00547224 aCaBNVSLcCaBNVSLdCaBNVSL 4aQC702b.R78 1990eb04a541.3/722201 aRubinstein, Isaak.10aElectro-diffusion of ionsh[electronic resource] /cIsaak Rubinstein. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1990. a1 electronic text (ix, 254 p.) :bill., digital file.1 aSIAM studies in applied mathematics ;v11 aIncludes bibliographical references and index.0 aPreface -- Introduction -- Nonlinear effects in electro-diffusional equilibrium -- Locally electro-neutral electro-diffusion without electric current -- Stationary current with local electro-neutrality -- The nonequilibrium space charge in one-dimensional electro-diffusion -- A Prototypical convective electro-diffusional phenomenon--electro-osmotic oscillations -- References.1 aRestricted to subscribers or individual electronic text purchasers.3 aThis is one of the first texts in which electro-diffusion of ions in its different aspects is considered as a unified subject. As a subject it is relevant to understanding the behavior of apparently different physical objects such as electrolyte solution, ion-exchangers, ion-selective membranes, and semiconductors. This text treats a selection of topics in electro-diffusion of ions in an aqueous medium --- a nonlinear transport process whose essence is diffusion of ions combined with their migration in a selfconsistent electric field. Electro-Diffusion of Ions is intended to enhance the understanding of particular electro-diffusional transport phenomena and to spark the interest of the mathematical community in the corresponding area of applications and development of a unified scientific vision. Contains some previously unpublished results for electro-diffusional problems. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aIonsxMeasurement. 0aElectrodiffusion. 0aTransport theory. 0aNonlinear theories. aElectro-diffusion aSemiconductors2 aSociety for Industrial and Applied Mathematics.08iPrint version:z0898712459z9780898712452w(DLC) 90038332 0aSIAM studies in applied mathematics ;v11.483SIAMuhttp://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am1104905nam 2200493 a 45000010014000000030005000140050017000190060019000360070015000550080041000700100017001110200035001280200023001630200026001860280015002120350025002270400030002520500024002820820017003061000016003232450085003392600140004243000060005644900051006245040064006755051374007395060072021135201625021855300037038105380036038475380047038835880048039306500031039786500037040096530016040466530026040626530016040886530024041046530025041287100052041537760065042058300047042708560094043179781611970821SIAM20110421122930.0m eo d cr bn |||m|||a890505s1989 paua ob 001 0 eng d z 89011316 a9781611970821 (electronic bk.) z0898712378 (print) z9780898712377 (print)50aAM10bSIAM a(CaBNVSL)gtp00547223 aCaBNVSLcCaBNVSLdCaBNVSL 4aQA935b.L327 1989eb04a531/.3822201 aLagnese, J.10aBoundary stabilization of thin platesh[electronic resource] /cJohn E. Lagnese. aPhiladelphia, Pa. :bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),c1989. a1 electronic text (viii, 176 p.) :bill., digital file.1 aSIAM studies in applied mathematics ;vvol. 10 aIncludes bibliographical references (p. 171-174) and index.0 aPreface -- Chapter 1. Introduction: Orientation; Background; Connection with exact controllability -- Chapter 2. Thin plate models: Kirchhoff model; Mindlin-Timoshenko model; Von Karman model; A viscoelastic plate model; A linear thermoelastic plate model -- Chapter 3. Boundary feedback stabilization of Mindlin-Timoshenko plates: Orientation: existence, uniqueness, and properties of solutions; Uniform asymptotic stability of solutions -- Chapter 4. Limits of the Mindlin-Timoshenko system and asymptotic stability of the limit systems: orientation; The limit of the M-T System as KE 0+; The limit of the M-T System as K ; Study of the Kirchhoff system; uniform asymptotic stability of solutions; Limit of the Kirchhoff System as 0+ -- Chapter 5. Uniform stabilization in some nonlinear plate problems: uniform stabilization of the Kirchhoff system by nonlinear feedback; Uniform asymptotic energy estimates for a von Karman plate -- Chapter 6. Boundary feedback stabilization of Kirchhoff plates subject to weak viscoelastic damping: Formulation of the boundary value problem; Existence, uniqueness, and properties of solutions; Asymptotic energy estimates -- Chapter 7. Uniform asymptotic energy estimates for thermoelastic plates: Orientation; existence, uniqueness, regularity, and strong stability; Uniform asymptotic energy estimates -- Bibliography -- Index.1 aRestricted to subscribers or individual electronic text purchasers.3 aPresents one of the main directions of research in the area of design and analysis of feedback stabilizers for distributed parameter systems in structural dynamics. Important progress has been made in this area, driven, to a large extent, by problems in modern structural engineering that require active feedback control mechanisms to stabilize structures which may possess only very weak natural damping. Much of the progress is due to the development of new methods to analyze the stabilizing effects of specific feedback mechanisms. Boundary Stabilization of Thin Plates provides a comprehensive and unified treatment of asymptotic stability of a thin plate when appropriate stabilizing feedback mechanisms acting through forces and moments are introduced along a part of the edge of the plate. In particular, primary emphasis is placed on the derivation of explicit estimates of the asymptotic decay rate of the energy of the plate that are uniform with respect to the initial energy of the plate, that is, on uniform stabilization results. The method that is systematically employed throughout this book is the use of multipliers as the basis for the derivation of a priori asymptotic estimates on plate energy. It is only in recent years that the power of the multiplier method in the context of boundary stabilization of hyperbolic partial differential equations came to be realized. One of the more surprising applications of the method appears in Chapter 5, where it is used to derive asymptotic decay rates for the energy of the nonlinear von Karman plate, even though the technique is ostensibly a linear one. aAlso available in print version. aMode of access: World Wide Web. aSystem requirements: Adobe Acrobat Reader. aTitle from title screen, viewed 04/05/2011. 0aElastic plates and shells. 0aDifferential equations, Partial. aThin plates aUniform stabilization aAsymptotics aViscoelastic plates aTherm