This research area covers mathematical models and methods that are of interest to applications in the physical, engineering, financial, and life sciences such as fluid mechanics, solid mechanics, elasticity, electromagnetic theory and optics, materials science, mathematical biology, linear and nonlinear wave propagation, inverse problems, nonlinear dynamics, and stochastic processes.

By Xiaoyue Li, Guoting Song, Yang Xia, and Chenggui Yuan SIAM Journal on Applied Mathematics, Volume 79, Issue 6, Page 2193-2217, January 2019. This paper investigates dynamical behaviors of the tumor-immune system perturbed by environmental noise. The model describes...

By Leslie Greengard and Shidong Jiang SIAM 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 Girolami SIAM 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 Pataki SIAM 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. Higham SIAM 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. Hou SIAM 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. Kushel SIAM 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 Darinka Dentcheva SIAM 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. Kilmer SIAM 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. Schulz SIAM 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 Editors SIAM 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-Serna SIAM 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...

By Mark Levi
The Inequality
Consider an asymmetric U-tube — two cylinders connected by a thin tube, as in Figure 1. As I depress the water in the right arm (using a piston, for example), I ...

By Sven Bachmann, Richard Froese, and Eric N. Cytrynbaum SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2132-2149, January 2019. In growing plant cells, parallel ordering of microtubules (MTs) along the inner surface of the cell...

By Michael Zabarankin SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2150-2167, January 2019. It is known that a toroidal drop freely suspended in a quiescent ambient fluid shrinks and...

By Holger R. Dullin and Joachim Worthington SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2168-2191, January 2019. The Euler equations on a three-dimensional periodic domain have a family of shear flow steady states....

By Liam C. Morrow, John R. King, Timothy J. Moroney, and Scott W. McCue SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2107-2131, January 2019. The problem of melting a crystal dendrite is modeled as a quasi-steady Stefan problem. By...

By Philippe Robert and Wen Sun SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2080-2106, January 2019. In this paper, we investigate a stochastic model describing the time evolution of a polymerization process....

By Sze-Bi Hsu, Yi Wang, and Hui Zhou SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2032-2053, January 2019. In this paper we focus on a patch occupancy 4-dimensional model of barnacle-algae-mussel interactions with external...

By Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi, and Luigi Preziosi SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2011-2031, January 2019. We consider a continuum mechanical model of cell invasion through thin membranes. The model consists of...

By Xiaoyue Li, Guoting Song, Yang Xia, and Chenggui Yuan SIAM Journal on Applied Mathematics, Volume 79, Issue 6, Page 2193-2217, January 2019. This paper investigates dynamical behaviors of the tumor-immune system perturbed by environmental noise. The model describes...

By Leslie Greengard and Shidong Jiang SIAM 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 Girolami SIAM 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 Pataki SIAM 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. Higham SIAM 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. Hou SIAM 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. Kushel SIAM 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 Darinka Dentcheva SIAM 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. Kilmer SIAM 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. Schulz SIAM 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 Editors SIAM 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-Serna SIAM 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...

By Sven Bachmann, Richard Froese, and Eric N. Cytrynbaum SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2132-2149, January 2019. In growing plant cells, parallel ordering of microtubules (MTs) along the inner surface of the cell...

By Michael Zabarankin SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2150-2167, January 2019. It is known that a toroidal drop freely suspended in a quiescent ambient fluid shrinks and...

By Holger R. Dullin and Joachim Worthington SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2168-2191, January 2019. The Euler equations on a three-dimensional periodic domain have a family of shear flow steady states....

By Liam C. Morrow, John R. King, Timothy J. Moroney, and Scott W. McCue SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2107-2131, January 2019. The problem of melting a crystal dendrite is modeled as a quasi-steady Stefan problem. By...

By Philippe Robert and Wen Sun SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2080-2106, January 2019. In this paper, we investigate a stochastic model describing the time evolution of a polymerization process....

By Sze-Bi Hsu, Yi Wang, and Hui Zhou SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2032-2053, January 2019. In this paper we focus on a patch occupancy 4-dimensional model of barnacle-algae-mussel interactions with external...

By Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi, and Luigi Preziosi SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2011-2031, January 2019. We consider a continuum mechanical model of cell invasion through thin membranes. The model consists of...

By Y. A. Antipov SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 2054-2079, January 2019. A two-dimensional transient problem on motion of a thin finite rigid body at sub-Rayleigh speed in...

By Paola Goatin and Elena Rossi SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1967-1989, January 2019. We prove the well-posedness of a system of balance laws inspired by [H. Holden and N....

By Nicola Bellomo, Kevin J. Painter, Youshan Tao, and Michael Winkler SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1990-2010, January 2019. This work focuses on an extension to the May--Nowak model for virus dynamics, additionally accounting for...

By Patrick van Meurs and Marco Morandotti SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1940-1966, January 2019. In the recent trend of extending discrete-to-continuum limit passages for gradient flows of single-species particle systems...

By Margaret Cheney, Louis Scharf, Pooria Pakrooh, Andrew Homan, and Matthew Ferrara SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1916-1939, January 2019. We develop a physics-based mathematical model for the signals received from a fixed radar that interrogates...

By Daniel B. Wilson, Ruth E. Baker, and Francis G. Woodhouse SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1892-1915, January 2019. Consider a particle whose position evolves along the edges of a network. One definition for the...

By P. R. S. Antunes, D. Buoso, and P. Freitas SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1872-1891, January 2019. We determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this...

By Yohan Davit, Fabrice Golfier, Jean-Claude Latché, and Michel Quintard SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1797-1822, January 2019. Modeling scalar transport by advection and diffusion in multiscale porous structures is a challenging problem, particularly...

By Antoine Lejay, Lionel Lenôtre, and Géraldine Pichot SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1823-1849, January 2019. In this article, we provide a method to compute analytic expressions of the resolvent kernel of...

By Michel C. Delfour, André Garon, and Steven Lamontagne SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1850-1871, January 2019. Stents are used in interventional cardiology in order to keep a diseased vessel open. New stents...

By Michael Zabarankin SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1768-1796, January 2019. There has long been interest in the existence of stationary shapes with conical ends for drops...

By Maria Laura Delle Monache, Thibault Liard, Benedetto Piccoli, Raphael Stern, and Dan Work SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1748-1767, January 2019. We consider a partial differential equation - ordinary differential equation system to describe the dynamics of...

By Michael V. Klibanov, Jingzhi Li, and Wenlong Zhang SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1722-1747, January 2019. An inverse scattering problem for the 3-dimensional acoustic equation in time domain is considered. The unknown...

By Graham W. Alldredge, Martin Frank, and Cory D. Hauck SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1627-1653, January 2019. We present a new entropy-based moment method for the velocity discretization of kinetic equations. This method...

By Zhen Zhang and Weiqing Ren SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1654-1674, January 2019. The no-slip boundary condition in classical fluid mechanics is violated at a moving contact line, and...

By Zhuolin Qu and James M. Hyman SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1675-1699, January 2019. We create and analyze a hierarchy of reduced order models for the spread of a Wolbachia...

By Michael A. Yereniuk and Sarah D. Olson SIAM Journal on Applied Mathematics, Volume 79, Issue 5, Page 1700-1721, January 2019. Agent-based (AB) models are rule based and are a relatively simple discrete method that can be...

By Alexander Katsevich SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1607-1626, January 2019. In this paper we study reconstruction of a function $f$ from its discrete Radon transform data...

By Daozhou Gao SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1581-1606, January 2019. Empirical and statistical evidence suggests that the number of trips taken per year varies significantly among...

By Rahil Sachak-Patwa, Nabil Fadai, and Robert A. Van Gorder SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1550-1580, January 2019. While the processes underlying the roasting of a single coffee bean have been the focus of...

By Iain R. Moyles, Matthew G. Hennessy, Timothy G. Myers, and Brian R. Wetton SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1528-1549, January 2019. We present a porous electrode model for lithium-ion batteries using Butler--Volmer reaction kinetics. We model...

By Jie Shen, Jie Xu, and Jiang Yang SIAM 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. Gleich SIAM 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 Zwart SIAM 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 Huybrechs SIAM 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. Teckentrup SIAM 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 Norbury SIAM 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 Beomjun Choi and Yong-Jung Kim SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1501-1527, January 2019. In this paper we derive diffusion equations in a heterogeneous environment. We consider a system of...

By Susana N. Gomes, Andrew M. Stuart, and Marie-Therese Wolfram SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1475-1500, January 2019. In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual...

By The Editors SIAM 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. Schulz SIAM 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. Kilmer SIAM 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-Serna SIAM 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 Dentcheva SIAM 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 Elizabeth Gross, Heather Harrington, Nicolette Meshkat, and Anne Shiu SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1423-1447, January 2019. This work focuses on the question of how identifiability of a mathematical model, that is, whether...

By Fioralba Cakoni, Bojan B. Guzina, Shari Moskow, and Tayler Pangburn SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1448-1474, January 2019. We study the homogenization of a transmission problem arising in the scattering theory for bounded inhomogeneities...

By A. U. Krupp, I. M. Griffiths, and C. P. Please SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1389-1404, January 2019. Motivated by modelling the spreading of a two-dimensional particle-laden gravity current on a porous membrane, we...

By Ben Fogelson and James P. Keener SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1405-1422, January 2019. Diffusion in cell biology is important and complicated. Diffusing particles must contend with a complex environment...

By Alfredo N. Wetzel, Leslie M. Smith, and Samuel N. Stechmann SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1341-1366, January 2019. Atmospheric fronts include cold fronts, warm fronts, and stationary fronts, and they can be idealized as...

By Penny J. Davies, Eric Barnhill, and Ingolf Sack SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1367-1388, January 2019. Magnetic resonance elastography (MRE) is a powerful technique for noninvasive determination of the biomechanical properties of...

By Yiwei Wang, Giacomo Canevari, and Apala Majumdar SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1314-1340, January 2019. We prove the existence of a well order reconstruction solution (WORS)-type Landau--de Gennes critical point on...

By Eduard Marušić-Paloka SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1244-1270, January 2019. We derive the effective equations describing the behavior of the fluid in strap with rugged boundary....

By Yan Wang and Junping Shi SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1293-1313, January 2019. The dynamical behavior of a reaction-diffusion-advection model of a stream population with weak Allee effect type...

By Christian Kuehn and Sebastian Throm SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1271-1292, January 2019. Power grids are undergoing major changes, shifting from a few large producers to smart grids built...

By Loïs Boullu, Laurent Pujo-Menjouet, and Jianhong Wu SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1218-1243, January 2019. We analyze the stability of a system of differential equations with a threshold-defined delay arising from...

By Simone Göttlich and Stephan Knapp SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1197-1217, January 2019. In this paper, a production model based on (hyperbolic) differential equations with stochastic and load-dependent machine...

By Linard Hoessly and Christian Mazza SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1173-1196, January 2019. We investigate a broad family of stochastically modeled reaction networks by looking at their stationary distributions....

By M. Vynnycky and M. Assunça͂o SIAM Journal on Applied Mathematics, Volume 79, Issue 4, Page 1147-1172, January 2019. Asymptotic methods are used to analyze a time-dependent two-dimensional (2D) model for the operation of a...

By Sean D. Lawley and Christopher E. Miles SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 1124-1146, January 2019. Many biological processes are initiated when diffusing extracellular reactants reach receptors on a cell membrane. Calculating...

By Christopher J. Breward and Peter Howell SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 1098-1123, January 2019. We develop and explore a simple mathematical model describing the behavior of surfactants in situations where...

By Ruiwen Wu and Xiao-Qiang Zhao SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 1075-1097, January 2019. We propose an impulsive integro-differential model to describe the dynamics of an invading species with a...

By Josh Wilson, Fadil Santosa, and P. A. Martin SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 1051-1074, January 2019. This paper studies the propagation of plasmons on graphene when the Drude weight is varied in...

By Doron Elad and Nir Gavish SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 1030-1050, January 2019. Steady-state solutions of the Poisson--Nernst--Planck model are studied in the asymptotic limit of large, but finite,...

By Ulysse Herbach SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 1007-1029, January 2019. We consider a stochastic model of gene expression in which transcription depends on a multistate promoter,...

By Cristóbal Bertoglio, Carlos Conca, David Nolte, Grigory Panasenko, and Konstantinas Pileckas SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 959-985, January 2019. The method of asymptotic partial decomposition of a domain proposed and justified earlier for thin domains...

By Masaki Ogura, Victor M. Preciado, and Naoki Masuda SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 986-1006, January 2019. In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive...

By Gadi Fibich, Tomer Levin, and Oren Yakir SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 914-937, January 2019. To study the effect of boundaries on diffusion of new products, we introduce two novel analytic...

By Satyajit Pramanik and John S. Wettlaufer SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 938-958, January 2019. We study the combined effects of nonlocal elasticity and confinement-induced ordering on the dynamics of thermomolecular...

By Ferran Brosa Planella, Colin P. Please, and Robert A. Van Gorder SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 876-913, January 2019. We consider the extended Stefan problem for the solidification of a binary alloy in a finite...

By Yi Hu, Petia M. Vlahovska, and Michael J. Miksis SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 850-875, January 2019. Here we study the force due to an applied electric field on a spherical...

By Wilkins Aquino and Marc Bonnet SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 822-849, January 2019. We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This...

By D. J. Arnold, D. Fernandez, R. Jia, C. Parkinson, D. Tonne, Y. Yaniv, A. L. Bertozzi, and S. J. Osher SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 802-821, January 2019. National parks often serve as hotspots for environmental crime such as illegal deforestation and animal poaching....

By Francesca Arrigo, Desmond J. Higham, and Vanni Noferini SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 781-801, January 2019. The combinatorics of walks on a graph is a key topic in network science. Here we...

By M. G. Blyth and E. I. Părău SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 743-753, January 2019. We develop an AFM (Ablowitz--Fokas--Musslimani) method applicable to studying water waves in a cylindrical geometry. As...

By Guillaume Bal, Mathias Fink, and Olivier Pinaud SIAM Journal on Applied Mathematics, Volume 79, Issue 3, Page 754-780, January 2019. We consider the time-reversal of waves in time-dependent media. The constitutive parameters of a wave equation...

By Dan Wilson and Bard Ermentrout SIAM 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 Townsend SIAM 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 Wheaton SIAM 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. Baras SIAM 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. Neidinger SIAM 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. Wolfe SIAM 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. Kilmer SIAM 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 Dentcheva SIAM 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-Serna SIAM 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. Schulz SIAM 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 Editors SIAM 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 Danhua Jiang, King-Yeung Lam, Yuan Lou, and Zhi-Cheng Wang SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 716-742, January 2019. We investigate a nonlocal reaction-diffusion-advection system modeling the population dynamics of two competing phytoplankton...

By Kirill Cherednichenko, Yulia Ershova, and Alexander V. Kiselev SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 690-715, January 2019. Motivated by the need to attribute a rigorous mathematical meaning to the term “metamaterial,” we propose...

By T. Meadows, M. Weedermann, and G. S. K. Wolkowicz SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 668-689, January 2019. Bornhöft, Hanke-Rauschenbach, and Sundmacher, [Nonlinear Dyn., 73 (2013), pp. 535--549] introduced a qualitative simplification to the...

By Thibault Liard and Benedetto Piccoli SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 641-667, January 2019. We consider a strongly coupled ODE-PDE system representing moving bottlenecks immersed in vehicular traffic. The systems...

By Rolando Rebolledo, Sergio A. Navarrete, Sonia Kéfi, Sergio Rojas, and Pablo A. Marquet SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 619-640, January 2019. Biological diversity is essential for the maintenance of the ecosystem functions that support life on the...

By James C. Cavallo and Mark B. Flegg SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 594-618, January 2019. In recent years, modeling of biochemical systems has attracted much attention. Traditionally, these systems...

By Nicholas D. Brubaker SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 572-593, January 2019. Motivated by recent elasto-capillary experiments done in the context of capillary origami, we model the static...

By Sean D. Lawley and James P. Keener SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 551-571, January 2019. A fundamental assumption of the Hodgkin--Huxley model and other conductance-based neuron models is that the average...

By Bastian Harrach and Houcine Meftahi SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 525-550, January 2019. In this paper, we consider the inverse problem of detecting a corrosion coefficient between two layers...

By A. L. Vanel, R. V. Craster, and O. Schnitzer SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 506-524, January 2019. We introduce phononic box crystals, namely, arrays of adjoined perforated boxes, as a three-dimensional prototype for...

By Sevdzhan Hakkaev, Milena Stanislavova, and Atanas G. Stefanov SIAM Journal on Applied Mathematics, Volume 79, Issue 2, Page 477-505, January 2019. We consider the Lugiato--Lefever (LL) model of optical fibers. We construct a two parameter family of...

By Fabien Caubet, Marc Dambrine, and Helmut Harbrecht SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 415-435, January 2019. The present article is devoted to the study of two well-known inverse problems, that is, the...

By Hyeonbae Kang and Xiaofei Li SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 396-414, January 2019. Upon insertion of an inclusion into an otherwise uniform field, if the field outside is not...

By Yevhen Ivanenko, Mats Gustafsson, B. L. G. Jonsson, Annemarie Luger, Börje Nilsson, Sven Nordebo, and Joachim Toft SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 436-458, January 2019. A passive approximation problem is formulated where the target function is an arbitrary complex-valued continuous function...

By Samuel A. Falle and Robin J. Williams SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 459-476, January 2019. In this paper we consider shock structures that arise in systems of hyperbolic...

By Clement Aldebert, Bob W. Kooi, David Nerini, Mathias Gauduchon, and Jean-Christophe Poggiale SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 377-395, January 2019. An issue in mathematical modeling is that multiple models describe the same data based on different...

By Wei Li, Yang Yang, and Yimin Zhong SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 356-376, January 2019. We investigate a hybrid inverse problem in fluorescence ultrasound modulated optical tomography in the diffusive regime....

By Toshikazu Kuniya SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 321-340, January 2019. In this paper, we are concerned with the global behavior of a multi-group SIR epidemic model...

By Ru-Yu Lai and Daniel Spirn SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 341-355, January 2019. We study quench detection in superconducting accelerator cavities cooled with He-II. A rigorous mathematical formula is...

By Pierre Magal, Glenn F. Webb, and Yixiang Wu SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 284-304, January 2019. The basic reproduction number $R_0$ serves as a threshold parameter of many epidemic models for disease...

By Lukáš Adam, Michael Hintermüller, Dirk Peschka, and Thomas M. Surowiec SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 257-283, January 2019. A multimaterial topology optimization framework using phase fields is suggested for the simultaneous optimization of mechanical...

By Hirokazu Komatsu and Hiroyuki Nakajima SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 305-320, January 2019. We give a sufficient condition for a chemical reaction network with time delays to be persistent,...

By Miguel Hermanns and Santiago Ibáñez SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 230-256, January 2019. The thermal response of geothermal heat exchangers after 25, 50, or even 100 years of operation...

By Martin J. Gander and Hui Zhang SIAM 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 Sanders SIAM 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 Meinsma SIAM 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 Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal Pfister SIAM 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. Gleeson SIAM 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. Trefethen SIAM 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 Dentcheva SIAM 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. Kilmer SIAM 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. Schulz SIAM 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-Serna SIAM 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 Editors SIAM 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 Frédérique Clément, Frédérique Robin, and Romain Yvinec SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 207-229, January 2019. We analyze a multitype age-dependent model for cell populations subject to unidirectional motion in both a...

By Benjamin M. Sloman, Colin P. Please, and Robert A. Van Gorder SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 177-206, January 2019. Reactions between gases and solid particles are commonly modeled using a shrinking core framework, where a...

By Xiaoli Liu, Bo Zhang, and Haiwen Zhang SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 153-176, January 2019. This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded...

By Alexandra Tzella and Jacques Vanneste SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 131-152, January 2019. We investigate the influence of steady periodic flows on the propagation of chemical fronts in...

By Yongzheng Sun, Wang Li, Hongjun Shi, Donghua Zhao, and Sandro Azaele SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 111-130, January 2019. In this paper we investigate the finite-time and fixed-time consensus problems of multiagent networks with pinning...

By Feng-Bin Wang, Stephen Gourley, and Yanyu Xiao SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 75-94, January 2019. We rigorously derive an integro-differential equation as a model for the possible onset of regenerative chatter...

By Felipe Cucker and Jiu-Gang Dong SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 95-110, January 2019. We prove unconditional and conditional flocking results for a Cucker--Smale flocking model enhanced with switching topologies....

By Min Ke, Zhou Fang, and Chuanhou Gao SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 55-74, January 2019. Motivated by the fact that the pseudo-Helmholtz function is a valid Lyapunov function for characterizing asymptotic...

By Karl Glasner SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 28-54, January 2019. Nanoparticle structures formed in a mixture of diblock copolymer and solvent are investigated using a three-phase...

By Michael V. Klibanov, Dinh-Liem Nguyen, and Loc H. Nguyen SIAM Journal on Applied Mathematics, Volume 79, Issue 1, Page 1-27, January 2019. We present a reconstruction method for solving a 3D coefficient inverse problem with a single...

By Mark Levi
The Inequality
Consider an asymmetric U-tube — two cylinders connected by a thin tube, as in Figure 1. As I depress the water in the right arm (using a piston, for example), I ...

By Mark Levi
Here I present a few miscellaneous observations prompted by the boredom of a long drive on a sunny summer day.
Estimating the Temperature of a Hot Highway Surface from the ...

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.

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.

The prize was established in 1999 in memory of Julian D. Cole and his work in mathematical applications to aerodynamics. It is awarded for the application of mathematical methods or the mathematical solution of a challenging problem in engineering or the physical or biological sciences.

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.

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.

SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest, focusing on the subjects of physical, engineering, financial, and life sciences. SIAP is the founding journal of SIAM, with the first volume of the journal published in 1953. The foundations and evolution of applied mathematics can be found in this journal.

Multiscale Modeling & Simulation
SIAM J. on Applied Algebra and Geometry
SIAM J. on Applied Dynamical Systems
SIAM J. on Applied Mathematics
SIAM J. on Computing
SIAM J. on Control and Optimization
SIAM J. on Discrete Mathematics
SIAM J. on Financial Mathematics
SIAM J. on Imaging Sciences
SIAM J. on Mathematical Analysis
SIAM J. on Matrix Analysis and Applications
SIAM J. on Numerical Analysis
SIAM J. on Optimization
SIAM J. on Scientific Computing
SIAM/ASA J. on Uncertainty Quantification
SIAM Review
Theory of Probability & Its Applications

General Opportunities

We know it can be overwhelming to keep track of career opportunities that may be relevant to you as a member of the SIAM community. So, we’ve compiled lists of some of our favorite fellowship, internship, and research opportunities. Check ‘em out!

Fellowships

Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.

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.