By Leslie Greengard and Shidong JiangSIAM Review, Volume 61, Issue 4, Page 733-755, January 2019. We present a new integral representation for the unsteady, incompressible Stokes or Navier--Stokes equations, based on a linear combination...
By Jon Cockayne, Chris J. Oates, T. J. Sullivan, and Mark GirolamiSIAM Review, Volume 61, Issue 4, Page 756-789, January 2019. Over forty years ago average-case error was proposed in the applied mathematics literature as an alternative criterion with which...
By Gábor PatakiSIAM Review, Volume 61, Issue 4, Page 839-859, January 2019. Semidefinite programs (SDPs)---some of the most useful and versatile optimization problems of the last few decades---are often...
By Catherine F. Higham and Desmond J. HighamSIAM Review, Volume 61, Issue 4, Page 860-891, January 2019. Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of...
By Guo Luo and Thomas Y. HouSIAM Review, Volume 61, Issue 4, Page 793-835, January 2019. Whether the three-dimensional incompressible Euler equations can develop a singularity in finite time from smooth initial data is one...
By Olga Y. KushelSIAM Review, Volume 61, Issue 4, Page 643-729, January 2019. Multiplicative and additive $D$-stability, diagonal stability, Schur $D$-stability, and $H$-stability are classical concepts which arise in studying linear dynamical...
By Pierre Lairez and Emre Can SertözSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 4, Page 559-584, January 2019. Based on high precision computation of periods and lattice reduction techniques, we compute the...
By Darinka DentchevaSIAM Review, Volume 61, Issue 4, Page 837-838, January 2019. The Education section of SIAM Review presents two papers in this issue. In the first paper Gábor Pataki ...
By Misha E. KilmerSIAM Review, Volume 61, Issue 4, Page 731-731, January 2019. Numerical solution of the Navier--Stokes equations in both two and three dimensions is the subject of the first of...
By Volker H. SchulzSIAM Review, Volume 61, Issue 4, Page 895-906, January 2019. The book reviews section serves to inform readers about current important books from a personal point of view. However,...
By The EditorsSIAM Review, Volume 61, Issue 4, Page 791-791, January 2019. The SIGEST article in this issue is “Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics...
By J. M. Sanz-SernaSIAM Review, Volume 61, Issue 4, Page 641-641, January 2019. It is a safe bet that most readers use matrices in their work. It is often of interest to...
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By Hiroshi HiraiSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 523-557, January 2019. In this paper, we consider the computation of the degree of the Dieudonné determinant...
Do you do work in algebra, geometry, or topology? ...
By Matteo Gallet, Niels Lubbes, Josef Schicho, and Jan VršekSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 472-506, January 2019. We present algorithms for reconstructing, up to unavoidable projective automorphisms, surfaces with ordinary singularities...
By Danielle A. Brake, Jonathan D. Hauenstein, Frank-Olaf Schreyer, Andrew J. Sommese, and Michael E. StillmanSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 507-522, January 2019. Singular value decompositions of matrices are widely used in numerical linear algebra with many...
By Heather A. Harrington, Nina Otter, Hal Schenck, and Ulrike TillmannSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 439-471, January 2019. A fundamental tool in topological data analysis is persistent homology, which allows extraction of...
By Stefan Müller, Josef Hofbauer, and Georg RegensburgerSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 412-438, January 2019. We start from a parametrized system of $d$ generalized polynomial equations (with real exponents)...
By Jie Shen, Jie Xu, and Jiang YangSIAM Review, Volume 61, Issue 3, Page 474-506, January 2019. We propose a new numerical technique to deal with nonlinear terms in gradient flows. By introducing...
By Arjun S. Ramani, Nicole Eikmeier, and David F. GleichSIAM Review, Volume 61, Issue 3, Page 549-595, January 2019. Common models for random graphs, such as Erdös--Rényi and Kronecker graphs, correspond to generating random adjacency matrices where each...
By Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert ZwartSIAM Review, Volume 61, Issue 3, Page 403-440, January 2019. Multiserver queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines...
By Ben Adcock and Daan HuybrechsSIAM Review, Volume 61, Issue 3, Page 443-473, January 2019. Functions of one or more variables are usually approximated with a basis: a complete, linearly independent system of functions...
By T. J. Dodwell, C. Ketelsen, R. Scheichl, and A. L. TeckentrupSIAM Review, Volume 61, Issue 3, Page 509-545, January 2019. In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo...
By Roger Cropp and John NorburySIAM Review, Volume 61, Issue 3, Page 596-622, January 2019. Obligate mutualist interactions appear to be ubiquitous in nature but cannot be described by the simple models that have...
By The EditorsSIAM Review, Volume 61, Issue 3, Page 507-507, January 2019. In this section we present “Multilevel Markov Chain Monte Carlo,” by T. J. Dodwell, C. Ketelsen, R. Scheichl, and...
By Volker H. SchulzSIAM Review, Volume 61, Issue 3, Page 625-640, January 2019. This time, the Book Reviews section has a large portion of books devoted to system dynamics and applications. The...
By Misha E. KilmerSIAM Review, Volume 61, Issue 3, Page 441-441, January 2019. The issue of accurate function approximation is an important topic in numerical analysis. The first Research Spotlights article,...
By J. M. Sanz-SernaSIAM Review, Volume 61, Issue 3, Page 401-401, January 2019. Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart are the authors of the Survey and...
By Darinka DentchevaSIAM Review, Volume 61, Issue 3, Page 547-548, January 2019. This issue of SIAM Review presents two papers in the Education section. The first is “Coin-Flipping, Ball-Dropping, and Grass-Hopping...
By Frédéric Meunier and Francis Edward SuSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 3, Page 391-411, January 2019. We propose a general technique related to the polytopal Sperner lemma for proving old...
By Jean B. LasserreSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 372-389, January 2019. Consider the sublevel set $K:=\{x: g(x)\leq1\}$ of a nonnegative homogeneous polynomial $g$. We show...
By Anthea Monod, Sara Kališnik, Juan Ángel Patin͂o-Galindo, and Lorin CrawfordSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 337-371, January 2019. We show that an embedding in Euclidean space based on tropical geometry generates stable...
By Kiumars Kaveh and Christopher ManonSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 292-336, January 2019. Given a finitely generated algebra $A$, it is a fundamental question whether $A$ has...
By Max Budninskiy, Gloria Yin, Leman Feng, Yiying Tong, and Mathieu DesbrunSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 266-291, January 2019. Manifold learning offers nonlinear dimensionality reduction of high-dimensional datasets. In this paper, we bring...
By Dan Wilson and Bard ErmentroutSIAM Review, Volume 61, Issue 2, Page 277-315, January 2019. While phase reduction is a tremendously useful tool for understanding the dynamics of weakly perturbed limit cycle oscillators,...
By Bernhard Beckermann and Alex TownsendSIAM Review, Volume 61, Issue 2, Page 319-344, January 2019. Matrices with displacement structure, such as Pick, Vandermonde, and Hankel matrices, appear in a diverse range of applications. In...
By Samuel Awoniyi and Ira WheatonSIAM Review, Volume 61, Issue 2, Page 347-360, January 2019. This education article presents a case for first courses on Markov chain modeling to include the topic “sojourn time...
By Guodong Shi, Claudio Altafini, and John S. BarasSIAM Review, Volume 61, Issue 2, Page 229-257, January 2019. A signed network is a network in which each link is associated with a positive or negative sign....
By Richard D. NeidingerSIAM Review, Volume 61, Issue 2, Page 361-381, January 2019. Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different generalizations and practical algorithms. ...
By Beate Ehrhardt and Patrick J. WolfeSIAM Review, Volume 61, Issue 2, Page 261-276, January 2019. We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible null...
By Misha E. KilmerSIAM Review, Volume 61, Issue 2, Page 259-259, January 2019. The paper “Network Modularity in the Presence of Covariates," by Beate Ehrhardt and Patrick J. Wolfe, is the first...
By Darinka DentchevaSIAM Review, Volume 61, Issue 2, Page 345-346, January 2019. This issue of SIAM Review contains two papers in the Education section. The first paper is “Case for First...
By J. M. Sanz-SernaSIAM Review, Volume 61, Issue 2, Page 227-227, January 2019. ``Dynamics over Signed Networks,” by Guodong Shi, Claudio Altafini, and John S. Baras, is the Survey and Review article...
By Volker H. SchulzSIAM Review, Volume 61, Issue 2, Page 385-400, January 2019. Sometimes, people confuse artificial neural networks (ANNs) with real biological brains, at least metaphorically. The section starts with a...
By The EditorsSIAM Review, Volume 61, Issue 2, Page 317-317, January 2019. The SIGEST article in this issue is “Bounds on the Singular Values of Matrices with Displacement Structure,” by Bernhard...
By Giacomo MicheliSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 256-265, January 2019. In this paper we characterize the polynomials $f$ over a finite field $F$ satisfying...
By Matthias Christandl, Fulvio Gesmundo, and Asger Kjærulff JensenSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 231-255, January 2019. It has recently been shown that the tensor rank can be strictly submultiplicative under...
By Amir Ali Ahmadi and Anirudha MajumdarSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 193-230, January 2019. In recent years, optimization theory has been greatly impacted by the advent of sum...
By Alessandro Chiesa, Lynn Chua, and Matthew WeidnerSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 2, Page 175-192, January 2019. A cycle of elliptic curves is a list of elliptic curves over finite fields...
By Shiva ShankarSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 172-174, January 2019. There is an error in Theorem 3.1 of [S. Shankar and P. Rocha, SIAM...
By Jurij VolčičSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 152-171, January 2019. A noncommutative polynomial is stable if it is nonsingular on all tuples of matrices...
By Gennadiy AverkovSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 128-151, January 2019. The abbreviations LMI and SOS stand for “linear matrix inequality" and “sum of squares,"...
By Elizabeth S. Allman, Colby Long, and John A. RhodesSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 107-127, January 2019. The log-det distance between two aligned DNA sequences was introduced as a tool...
By Gheorghe CraciunSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 87-106, January 2019. Some of the most common mathematical models in biology, chemistry, physics, and engineering are...
By Darij Grinberg and Peter J. OlverSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 67-86, January 2019. The primary purpose of this note is to prove two recent conjectures concerning the...
By Aaron Chen, Florian Frick, and Anne ShiuSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 44-66, January 2019. Given an intersection pattern of arbitrary sets in Euclidean space, is there an arrangement...
By Martin J. Gander and Hui ZhangSIAM Review, Volume 61, Issue 1, Page 3-76, January 2019. Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades an...
By Eddie Nijholt, Bob Rink, and Jan SandersSIAM Review, Volume 61, Issue 1, Page 121-155, January 2019. Many systems in science and technology are networks: they consist of nodes with connections between them. Examples include electronic...
By Gjerrit MeinsmaSIAM Review, Volume 61, Issue 1, Page 159-184, January 2019. A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of...
By Patrizio Neff, Andreas Fischle, and Lev BorisovSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 31-43, January 2019. We determine the optimal orthogonal matrices $R \in {{O}}(n)$ which minimize the symmetrized...
By Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal PfisterSIAM Review, Volume 61, Issue 1, Page 79-91, January 2019. Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering...
By Peter G. Fennell and James P. GleesonSIAM Review, Volume 61, Issue 1, Page 92-118, January 2019. Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread...
By Silviu Filip, Aurya Javeed, and Lloyd N. TrefethenSIAM Review, Volume 61, Issue 1, Page 185-205, January 2019. The usual way in which mathematicians work with randomness is by a rigorous formulation of the idea of Brownian...
By Darinka DentchevaSIAM Review, Volume 61, Issue 1, Page 157-158, January 2019. In this issue, the Education section of SIAM Review presents two papers. The first is “Dimensional and Scaling Analysis,”...
By Misha E. KilmerSIAM Review, Volume 61, Issue 1, Page 77-77, January 2019. Short and to the point, “How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and...
By Volker H. SchulzSIAM Review, Volume 61, Issue 1, Page 209-225, January 2019. This time, the Book Reviews section has a large portion of reviews on books devoted to applications---in particular medical...
By J. M. Sanz-SernaSIAM Review, Volume 61, Issue 1, Page 1-1, January 2019. The Survey and Review article in this issue is “A Class of Iterative Solvers for the Helmholtz Equation: Factorizations,...
By The EditorsSIAM Review, Volume 61, Issue 1, Page 119-119, January 2019. Over the last fifteen years, SIAM Review has published a range of articles in the general area of network...
By Daniele Agostini and Carlos AméndolaSIAM Journal on Applied Algebra and Geometry, Volume 3, Issue 1, Page 1-30, January 2019. We study a discrete analogue of the classical multivariate Gaussian distribution. It is supported...
By Luis Bettencourt , Christa Brelsford , and Taylor Martin Anthropologists, archaeologists, economists, sociologists, geographers, historians, and many other scholars have long been ...
By Rida T. Farouki and Kai Hormann Geometrical models play a critical role in diverse fields such as engineering design and analysis, manufacturing automation, computer graphics and ...
The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.
Established in 1967, the prize honors George David Birkhoff (1884-1944), who served as the American Mathematical Society (AMS) President during 1925-1926. The prize is awarded every three years by SIAM and AMS for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.
Established in 2016, the prize is awarded to an individual in their early career for research contributions to the field of algebraic geometry and its applications.
Established in 2018, the prize is awarded to an early career researcher for recent research contributions in the field of geometric design and processing.
The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.
Established in 1967, the prize honors Norbert Wiener, a founder of the field of cybernetics. The prize is awarded every three years by SIAM and the American Mathematical Society (AMS) for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.
The George Pólya Prize in Mathematics was established in 1992 as an extension into other fields of the George Pólya Prize in Combinatorics. It is awarded in areas of interest to George Pólya not covered by SIAM’s other Pólya Prizes.
This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.
This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.
Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.
Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.
Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.
The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.
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Established in 1998 in memory of Ralph E. Kleinman, the prize recognizes contributions that bridge the gap between high-level mathematics and engineering problems. The award is based on the quality and impact of the mathematics.
The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.
The prize recognizes students for outstanding solutions to real world math problems. It is awarded to two of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.
The SIAM Outstanding Paper Prizes bring attention to papers published in SIAM journals. Three awards are made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.
The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.
Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.
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Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.
Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.