This research area covers research in mathematics that leads to new methods and techniques useful in the life sciences. This area is of interest to mathematicians, life scientists, computational biologists, bioengineers, and others interested in mathematical and computational analysis of biological systems.

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.

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.

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.

By Ruming Zhang SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page B1257-B1281, October 2022. In this paper, two high order complex contour discretization methods are proposed to simulate wave propagation...

By Thomas Gillis and Wim M. van Rees SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page C367-C398, October 2022. We present the derivation, implementation, and analysis of a multiresolution adaptive grid framework for numerical simulations...

By Lina Sorg
Accurate models can further researchers’ overall knowledge of cerebrovascular diseases like stroke and intracranial aneurysm, which arise due to issues with blood vessels in ...

By Zheyuan Hu, Ameya D. Jagtap, George Em Karniadakis, and Kenji Kawaguchi SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3158-A3182, October 2022. Physics-informed neural networks (PINNs) have become a popular choice for solving high-dimensional partial differential equations (PDEs)...

By Lina Sorg
Head and neck cancers have the sixth highest incidence among cancers worldwide and result in roughly 550,000 new cases and 380,000 deaths per year. Locoregional recurrence of ...

By Samuel M. Greene, Robert J. Webber, Timothy C. Berkelbach, and Jonathan Weare SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3067-A3097, October 2022. Traditional numerical methods for calculating matrix eigenvalues are prohibitively expensive for high-dimensional problems. Iterative random sparsification...

By Yiqi Gu and Michael K. Ng SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3130-A3157, October 2022. In this paper, we study deep neural networks (DNNs) for solving high-dimensional evolution equations with oscillatory...

By Jian Dong and Xu Qian SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3098-A3129, October 2022. This paper aims to introduce surface reconstruction (SR) schemes to maintain the smooth equilibria, including the...

By Kathryn P. Drake, Edward J. Fuselier, and Grady B. Wright SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3018-A3040, October 2022. Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging...

By Xiaofeng Ou and Jianlin Xia SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3041-A3066, October 2022. For dense symmetric matrices with small off-diagonal (numerical) ranks and in a hierarchically semiseparable form, we...

By Luís M. Grilo and Anuj Mubayi
The ongoing COVID-19 pandemic, now in its third year, has disrupted the social interactions, workplace settings, and educational routines of millions of ...

By Pablo D. Brubeck and Patrick E. Farrell SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2991-A3017, October 2022. Pavarino proved that the additive Schwarz method with vertex patches and a low-order coarse space gives...

By Benjamin Pachev, Jared P. Whitehead, and Shane A. McQuarrie SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2974-A2990, October 2022. We develop an algorithm based on the nudging data assimilation scheme for the concurrent (on-the-fly) estimation...

By Ioannis Toulopoulos SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2944-A2973, October 2022. In this paper, continuous space-time finite element methods are developed for approximating a class of quasilinear...

By Ruming Zhang SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page B1257-B1281, October 2022. In this paper, two high order complex contour discretization methods are proposed to simulate wave propagation...

By Thomas Gillis and Wim M. van Rees SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page C367-C398, October 2022. We present the derivation, implementation, and analysis of a multiresolution adaptive grid framework for numerical simulations...

By Zheyuan Hu, Ameya D. Jagtap, George Em Karniadakis, and Kenji Kawaguchi SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3158-A3182, October 2022. Physics-informed neural networks (PINNs) have become a popular choice for solving high-dimensional partial differential equations (PDEs)...

By Samuel M. Greene, Robert J. Webber, Timothy C. Berkelbach, and Jonathan Weare SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3067-A3097, October 2022. Traditional numerical methods for calculating matrix eigenvalues are prohibitively expensive for high-dimensional problems. Iterative random sparsification...

By Yiqi Gu and Michael K. Ng SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3130-A3157, October 2022. In this paper, we study deep neural networks (DNNs) for solving high-dimensional evolution equations with oscillatory...

By Jian Dong and Xu Qian SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3098-A3129, October 2022. This paper aims to introduce surface reconstruction (SR) schemes to maintain the smooth equilibria, including the...

By Kathryn P. Drake, Edward J. Fuselier, and Grady B. Wright SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3018-A3040, October 2022. Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging...

By Xiaofeng Ou and Jianlin Xia SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3041-A3066, October 2022. For dense symmetric matrices with small off-diagonal (numerical) ranks and in a hierarchically semiseparable form, we...

By Pablo D. Brubeck and Patrick E. Farrell SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2991-A3017, October 2022. Pavarino proved that the additive Schwarz method with vertex patches and a low-order coarse space gives...

By Benjamin Pachev, Jared P. Whitehead, and Shane A. McQuarrie SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2974-A2990, October 2022. We develop an algorithm based on the nudging data assimilation scheme for the concurrent (on-the-fly) estimation...

By Ioannis Toulopoulos SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2944-A2973, October 2022. In this paper, continuous space-time finite element methods are developed for approximating a class of quasilinear...

By Jianbo Cui, Luca Dieci, and Haomin Zhou SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2918-A2943, October 2022. In this paper, we propose a numerical method to solve the classic $L^2$-optimal transport problem. Our...

By Lina Zhao SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page B1221-B1256, October 2022. In this paper, we first propose and analyze a novel mixed-type DG method for the coupled...

By Timo Betcke, Erik Burman, and Matthew W. Scroggs SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2895-A2917, October 2022. We consider boundary element methods where the Calderón projector is used for the system matrix and...

By Candan Güdücü, Jörg Liesen, Volker Mehrmann, and Daniel B. Szyld SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2871-A2894, August 2022. We discuss different cases of dissipative Hamiltonian differential-algebraic equations and the linear algebraic systems that arise...

By Davide Palitta, Stefano Pozza, and Valeria Simoncini SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2843-A2870, August 2022. Rational Krylov subspaces have become a reference tool in dimension reduction procedures for several application problems....

By Jian Cheng and Fan Zhang SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1195-B1220, August 2022. We develop a high-order path-conservative discontinuous Galerkin method to simulate compressible two-medium flows by solving the...

By Zhengjie Sun and Leevan Ling SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2789-A2807, August 2022. We propose a meshless conservative Galerkin method for solving Hamiltonian wave equations. We first discretize the...

By Pierre-Loïc Bacq and Yvan Notay SIAM Journal on Scientific Computing, Ahead of Print. We consider the numerical solution of discrete Oseen problems. We propose a new approach that consists of first applying a simple...

By Stephan Schmidt, Melanie Gräßer, and Hans-Joachim Schmid SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1175-B1194, August 2022. We present a second order numerical scheme to compute capillary bridges between arbitrary solids by minimizing...

By Takashi Goda and Pierre L'Ecuyer SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2765-A2788, August 2022. We study quasi-Monte Carlo (QMC) integration of smooth functions defined over the multidimensional unit cube. Inspired...

By Alena Kopaničáková and Rolf Krause SIAM Journal on Scientific Computing, Ahead of Print. We propose a globally convergent multilevel training method for deep residual networks (ResNets). The devised method can be seen as a...

By Matthias Mayr, Luc Berger-Vergiat, Peter Ohm, and Ray S. Tuminaro SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2734-A2764, August 2022. Multigrid solvers for semistructured meshes are developed. Such semistructured meshes provide flexibility to address complex computational...

By Ahmed Attia and Emil Constantinescu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2808-A2842, August 2022. Optimal experimental design (OED) is the general formalism of sensor placement and decisions about the data...

By Maria Bruna, Martin Burger, Antonio Esposito, and Simon M. Schulz SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1635-1660, August 2022. The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems,...

By Stephan Dahlke, Helmut Harbrecht, and Thomas M. Surowiec SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2691-A2708, August 2022. The optimal control of partial differential equations (PDEs) driven by nonlocal operators presents many numerical challenges....

By Kai Yang SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2709-A2733, August 2022. This paper proposes a new class of arbitrarily high-order conservative numerical schemes for the generalized Korteweg--de...

By Ru Huang, Ruipeng Li, and Yuanzhe Xi SIAM Journal on Scientific Computing, Ahead of Print. Multigrid methods are one of the most efficient techniques for solving large sparse linear systems arising from partial differential equations (PDEs)...

By Alexander Heinlein, Oliver Rheinbach, and Friederike Röver SIAM Journal on Scientific Computing, Ahead of Print. The parallel performance of the three-level fast and robust overlapping Schwarz (FROSch) preconditioners is investigated for linear elasticity. The FROSch framework...

By Nedialko Nedialkov, John D. Pryce, and Lena Scholz SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1122-B1147, August 2022. Combining three themes---port-Hamiltonian energy-based modeling, circuit structural analysis, and structural analysis of differential-algebraic equations---we form...

By Matthew J. Picklo and Jennifer K. Ryan SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2628-A2650, August 2022. In this article we introduce line Smoothness-Increasing Accuracy-Conserving Multi-Resolution Analysis. This is a procedure for exploiting...

By Benjamin K. Tapley SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2651-A2668, August 2022. We present a novel numerical method for solving ODEs while preserving polynomial first integrals. The method...

By Thomas Bellotti, Loïc Gouarin, Benjamin Graille, and Marc Massot SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2599-A2627, August 2022. Lattice Boltzmann methods (LBM) stand out for their simplicity and computational efficiency while offering the possibility...

By Yingzhi Liu, Yassine Boubendir, Xiaoming He, and Yinnian He SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1068-B1095, August 2022. In this paper, we are interested in the design of optimized Schwarz domain decomposition algorithms...

By Dario Bini, Guy Latouche, and Beatrice Meini SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2669-A2690, August 2022. Markov-modulated Lévy processes lead to matrix integral equations of the kind $A_0 + A_1X+A_2 X^2+A_3(X)=0$, where...

By Habib Ammari, Francesco Fiorani, and Erik Orvehed Hiltunen SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1611-1634, August 2022. The goal of this paper is to relate the capacitance matrix formalism to the tight-binding approximation....

By Heather M. Switzer, Andreas Stathopoulos, Eloy Romero, Jesse Laeuchli, and Kostas Orginos SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1096-B1121, August 2022. Probing is a general technique that is used to reduce the variance of the Hutchinson stochastic...

By Wietse M. Boon, Timo Koch, Miroslav Kuchta, and Kent-André Mardal SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1148-B1174, August 2022. We construct mesh-independent and parameter-robust monolithic solvers for the coupled primal Stokes--Darcy problem. Three different formulations...

By Andreas Frommer, Mostafa Nasr Khalil, and Gustavo Ramirez-Hidalgo SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2536-A2556, August 2022. The trace of a matrix function $f(A)$, most notably of the matrix inverse, can be estimated...

By Hussam Al Daas and Pierre Jolivet SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2582-A2598, August 2022. Domain decomposition (DD) methods are widely used as preconditioner techniques. Their effectiveness relies on the choice...

By Qing He, Jingwei Hu, and Zhennan Zhou SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1045-B1067, August 2022. In this work, we are concerned with a Fokker--Planck equation related to the nonlinear noisy leaky...

By Christophe Berthon, Solène Bulteau, Françoise Foucher, Meissa M'Baye, and Victor Michel-Dansac SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2506-A2535, August 2022. When adopting high-order finite volume schemes based on MUSCL reconstruction techniques to approximate the weak solutions...

By John Maclean, J. E. Bunder, I. G. Kevrekidis, and A. J. Roberts SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2557-A2581, August 2022. The equation-free approach to efficient multiscale numerical computation marries trusted micro-scale simulations to a framework for...

By Yifan Hua, Kevin Miller, Andrea L. Bertozzi, Chen Qian, and Bao Wang SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1558-1586, August 2022. We propose near-optimal overlay networks based on $d$-regular expander graphs to accelerate decentralized federated learning (DFL)...

By Gui-Quan Sun, Hong-Tao Zhang, Li-Li Chang, Zhen Jin, Hao Wang, and Shigui Ruan SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1587-1610, August 2022. Foot-and-mouth disease (FMD) is an acute and highly contagious infectious disease of cloven-hoofed animals. In order...

By Eric Bezzam, Sepand Kashani, Paul Hurley, Martin Vetterli, and Matthieu Simeoni SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page C346-C366, August 2022. Fourier transforms are an often necessary component in many computational tasks and can be computed efficiently...

By Alexander Heinlein, Axel Klawonn, and Martin Lanser SIAM Journal on Scientific Computing, Ahead of Print. In this article, different nonlinear domain decomposition methods are applied to nonlinear problems with highly heterogeneous coefficient functions with jumps. In...

By Fabian Laakmann, Patrick E. Farrell, and Lawrence Mitchell SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B1018-B1044, August 2022. The magnetohydrodynamics (MHD) equations are generally known to be difficult to solve numerically, due to their...

By Olof B. Widlund, Simone Scacchi, and Luca F. Pavarino SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2349-A2369, August 2022. Isogeometric analysis has been introduced as an alternative to finite elements to simplify the integration of...

By Cameron Davies, Tongseok Lim, and Robert J. McCann SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1520-1536, August 2022. Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to...

By Wei Gong, Jiajie Li, and Shengfeng Zhu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2464-A2505, August 2022. We propose in this paper two kinds of continuity preserving discrete shape gradients of boundary type...

By Emre Mengi SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2412-A2438, August 2022. We focus on the dominant poles of the transfer function of a descriptor system. The transfer...

By Chang-En Du and Ching-Sung Liu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2370-A2385, August 2022. In this paper, we present a Newton--Noda iteration (NNI) to find the ground state of nonlinear...

By Jun Liu and Shu-Lin Wu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2386-A2411, August 2022. The sinc-Nyström method is a high-order numerical method based on sinc basis functions for...

By Stefan Güttel, Gian Maria Negri Porzio, and Françoise Tisseur SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2439-A2463, August 2022. We develop algorithms that construct robust (i.e., reliable for a given tolerance and scaling independent) rational...

By Xiaocong Xu, Yajun Zhu, Chang Liu, and Kun Xu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B996-B1017, August 2022. The unified gas-kinetic scheme (UGKS) has been developed for rarefied and continuum flow simulations. To further...

By Guillermo H. Goldsztein SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1537-1557, August 2022. On June 10, 2000, the Millennium Bridge in London opened to the public. As people crossed...

By Valentin D. Kunz and Raphael Assier SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1495-1519, August 2022. In this paper, we revisit Radlow's innovative approach to diffraction by a penetrable wedge by means...

By Noa Kraitzman, Keith Promislow, and Brian Wetton SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1470-1494, August 2022. We derive a thermodynamically consistent model for liquid-solid phase change in sea ice by incorporating a...

By Ralf Hiptmair, Andrea Moiola, and Euan A. Spence SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1446-1469, August 2022. We consider the Helmholtz transmission problem with piecewise-constant material coefficients and the standard associated direct boundary...

By Fabio Ancona, Alberto Bressan, and Maria Teresa Chiri SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1423-1445, August 2022. We model an artificial root which grows in the soil for underground prospecting. Its evolution is...

By Joseph D. Johnson, Adam M. Redlich, and Daniel M. Abrams SIAM Review, Volume 64, Issue 3, Page 625-639, August 2022. Firms in the U.S. spend over $200 billion each year advertising their products to consumers, around one percent...

By Raphael Watschinger, Michal Merta, Günther Of, and Jan Zapletal SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page C320-C345, August 2022. We present a novel approach to the parallelization of the parabolic fast multipole method for a...

By Hao-Jun Michael Shi, Yuchen Xie, Melody Qiming Xuan, and Jorge Nocedal SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2302-A2321, August 2022. A common approach for minimizing a smooth nonlinear function is to employ finite-difference approximations to the...

By Demi L. Gandy and Martin R. Nelson SIAM Review, Volume 64, Issue 3, Page 728-747, August 2022. The Gray--Scott model is a widely studied autocatalytic model that exhibits a range of interesting pattern formation behavior, as...

By Volker H. Schulz SIAM Review, Volume 64, Issue 3, Page 751-759, August 2022. The section starts with two hot topics combined into one book: data-driven science and COVID-19. In our featured review,...

By Manlio Gaudioso and Jean-Baptiste Hiriart-Urruty SIAM Review, Volume 64, Issue 3, Page 713-727, August 2022. We consider, and study with elementary calculus, the polyhedral norms $||x||_{(k)}=$ sum of the $\mathit{k}$ largest among the $|x_{i}|$'s....

By Qinmeng Zou and Frédéric Magoulès SIAM Review, Volume 64, Issue 3, Page 517-553, August 2022. The primary aim of this paper is to provide a review of the last few decades of research focused...

By Darinka Dentcheva SIAM Review, Volume 64, Issue 3, Page 711-712, August 2022. This issue of SIAM Review presents two papers in the Education section. The first paper, “Deforming $\|\cdot\|_1$ into $\|\cdot\|_\infty$...

By Nate Veldt, Austin R. Benson, and Jon Kleinberg SIAM Review, Volume 64, Issue 3, Page 650-685, August 2022. The minimum $s$-$t$ cut problem in graphs is one of the most fundamental problems in combinatorial optimization, and graph...

By Paolo Guasoni and Yu-Jui Huang SIAM Review, Volume 64, Issue 3, Page 689-709, August 2022. Federal student loans are fixed-rate debt contracts with three main special features: (i) borrowers can use income-driven schemes to...

By Misha E. Kilmer SIAM Review, Volume 64, Issue 3, Page 623-624, August 2022. What's in a name [brand]? In the first of three Research Spotlights articles this issue, authors Joseph D....

By Verónica Anaya, Arbaz Khan, David Mora, and Ricardo Ruiz-Baier SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B964-B995, August 2022. We develop the a posteriori error analysis of three mixed finite element formulations for rotation-based equations...

By Mark Van der Boor, Sem C. Borst, Johan S. H. Van Leeuwaarden, and Debankur Mukherjee SIAM Review, Volume 64, Issue 3, Page 554-622, August 2022. In this survey we provide an overview of recent advances on scalable load balancing schemes which provide favorable delay...

By The Editors SIAM Review, Volume 64, Issue 3, Page 687-687, August 2022. In this section we present “Minimizing the Repayment Cost of Federal Student Loans,” by Paolo Guasoni and Yu-Jui Huang....

By Elizabeth Newman, Julianne Chung, Matthias Chung, and Lars Ruthotto SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2322-A2348, August 2022. Deep neural networks (DNNs) have shown their success as high-dimensional function approximators in many applications; however,...

By Andy Wathen SIAM Review, Volume 64, Issue 3, Page 640-649, August 2022. The solution of systems of linear(ized) equations lies at the heart of many problems in scientific computing. In particular,...

By J. M. Sanz-Serna SIAM Review, Volume 64, Issue 3, Page 515-515, August 2022. This issue contains two Survey and Review papers. The first, by Qinmeng Zou and Frédéric Magoulès, is “Delayed Gradient...

By Chun Liu, Cheng Wang, and Yiwei Wang SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2276-A2301, August 2022. A second-order accurate in time, positivity-preserving, and unconditionally energy stable operator splitting scheme is proposed and...

By Conway Li, Neville Fowkes, and Miccal Matthews SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1411-1422, August 2022. The conformal mapping technique has long been used to obtain exact solutions to Laplace's equation in...

By Mark Ainsworth and Yeonjong Shin SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2253-A2275, August 2022. We propose a novel training method for multivariate two-layer rectified neural networks. The core mechanism is...

By Jisheng Kou, Xiuhua Wang, and ShiGui Du SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B938-B963, August 2022. Taking rock compressibility into consideration brings up a quite challenging issue to modeling and numerical...

By Qifeng Zhang, Lingling Liu, and Zhimin Zhang SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2226-A2252, August 2022. In this paper, we develop, analyze and numerically test an invariant-preserving three-level linearized implicit difference scheme...

By Yael Azulay and Eran Treister SIAM Journal on Scientific Computing, Ahead of Print. In this paper, we present a data-driven approach to iteratively solve the discrete heterogeneous Helmholtz equation at high wavenumbers. In our...

By Gabriele Boncoraglio and Charbel Farhat SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2176-A2203, August 2022. This paper introduces the concept of a database of piecewise-global, nonlinear, projection-based reduced-order models and intertwines...

By Kexin Li, Hongwei Li, Raymond H. Chan, and Youwei Wen SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2204-A2225, August 2022. The reconstruction of a low-rank matrix from its noisy observation finds its usage in many applications....

By Peter J. Noble and Tobias Weinzierl SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2121-A2149, August 2022. Simulations of many rigid bodies colliding with each other sometimes yield particularly interesting results if the...

By Ory Schnitzer and Richard Porter SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1387-1410, August 2022. Localized wave oscillations in an open system that do not decay or grow in time, despite...

By Jorge Aguayo and Hugo Carrillo Lincopi SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1369-1386, August 2022. From the steady Stokes and Navier--Stokes models, a penalization method has been considered by several authors...

By Kyongmin Yeo, Zan Li, and Wesley Gifford SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2150-A2175, August 2022. We present a deep learning model for data-driven simulations of random dynamical systems without a distributional...

By Dong Wang SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2061-A2088, August 2022. A Dirichlet $k$-partition of a domain is a collection of $k$ pairwise disjoint open subsets such...

By Xiaofeng Cai and Jing-Mei Qiu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2037-A2060, August 2022. The semi-Lagrangian (SL) approach is attractive in transport simulations, e.g., in climate modeling and kinetic...

By Nathan Willis, Chee Han Tan, Christel Hohenegger, and Braxton Osting SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1312-1335, August 2022. In the ice-fishing problem, a half-space of fluid lies below an infinite rigid plate (``the ice'')...

By Conway Li, Neville Fowkes, Brendan Florio, and Miccal Matthews SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1356-1368, August 2022. In contexts such as space travel, thermal radiation is the primary mode of heat transfer. The...

By Limin Ma and Shudan Tian SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B910-B937, August 2022. In this paper, we propose and analyze the extrapolation method and asymptotically exact a posterior error...

By Zexi Song and Zhiqiang Tan SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2089-A2120, August 2022. There has been considerable interest in designing Markov chain Monte Carlo algorithms by exploiting numerical methods...

By Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, and Sonia Fliss SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1287-1311, August 2022. The Half-Space Matching (HSM) method has recently been developed as a new method for the solution...

By Reza MohammadiArani, Mehdi Dehghan, and Mostafa Abbaszadeh SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B885-B909, August 2022. Recently, the reduced order model (ROM) has been applied to reduce the computational cost of numerical...

By Nan Liang, Maoxing Liu, Yongzheng Sun, Rui Xiao, and Lingzhi Zhao SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1336-1355, August 2022. In this paper, time and energy costs for achieving synchronization of the Kuramoto-oscillator network...

By Nicolás Alejandro Barnafi Wittwer, Simone Di Gregorio, Luca Dede', Paolo Zunino, Christian Vergara, and Alfio Quarteroni SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1167-1193, August 2022. The importance of myocardial perfusion at the outset of cardiac disease remains largely understudied. To address...

By Thomas Dagès and Alfred M. Bruckstein SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1246-1266, August 2022. Random pairwise encounters often occur in large populations or groups of mobile agents, and various types...

By Christina Schenk and Volker H. Schulz SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1220-1245, August 2022. Predictive modeling is key for saving time and resources in manufacturing processes such as fermentation arising...

By B. Niethammer, R. L. Pego, A. Schlichting, and J. J. L. Velázquez SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1194-1219, August 2022. We study the Becker--Döring bubblelator, a variant of the Becker--Döring coagulation-fragmentation system that models the growth...

By Kai Jiang, Wei Si, and Jie Xu SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1267-1286, August 2022. We propose a spectral viewpoint for grain boundaries that are generally quasiperiodic. To accurately capture the...

By Joseph V. Pusztay, Matthew G. Knepley, and Mark F. Adams SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page C310-C319, August 2022. Particle-in-cell methods employ particle representations of unknown fields but also employ continuum fields for other parts...

By Melven Röhrig-Zöllner, Jonas Thies, and Achim Basermann SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page C287-C309, August 2022. There are several factorizations of multidimensional tensors into lower-dimensional components, known as “tensor networks.” We consider...

By Yury Grabovsky SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1135-1166, August 2022. Material response of real, passive, linear, time-invariant media to external influences is described by complex analytic...

By Yiqi Gu and Michael K. Ng SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2018-A2036, August 2022. In this paper, we propose a novel method for solving high-dimensional spectral fractional Laplacian equations. Using...

By Or Avnat and Irad Yavneh SIAM Journal on Scientific Computing, Ahead of Print. A new fixed (nonadaptive) recursive scheme for multigrid algorithms is introduced. Governed by a positive parameter $\kappa$ called the cycle counter,...

By Guoqiang Wang, Wenjian Yu, Xiubo Liang, Yuanqing Wu, and Bo Yu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1989-A2017, August 2022. In this paper, an easy to implement and efficient algorithm is proposed for large-scale sparse...

By Jianliang Li, Peijun Li, and Xu Wang SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1113-1134, August 2022. This paper addresses the direct and inverse source problems for the stochastic acoustic, biharmonic, electromagnetic, and...

By Yong Gao and Wangtao Lu SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B861-B884, August 2022. In anisotropic media, the standard perfectly matched layer (PML) technique suffers irrevocable instability in terminating the...

By Kai Jiang, Xuehong Su, and Juan Zhang SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1960-A1988, August 2022. This paper proposes an efficient general alternating-direction implicit (GADI) framework for solving large sparse linear systems....

By Assyr Abdulle and Giacomo Rosilho de Souza SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1859-A1883, August 2022. Stabilized explicit methods are particularly efficient for large systems of stiff stochastic differential equations (SDEs) due...

By Yue Guo, Felix Dietrich, Tom Bertalan, Danimir T. Doncevic, Manuel Dahmen, Ioannis G. Kevrekidis, and Qianxiao Li SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1911-A1933, August 2022. We study the learning of numerical algorithms for scientific computing, which combines mathematically driven, handcrafted design...

By Elizabeth Qian, Ionuţ-Gabriel Farcaş, and Karen Willcox SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1934-A1959, August 2022. We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate...

By Kamran Pentland, Massimiliano Tamborrino, Debasmita Samaddar, and Lynton C. Appel SIAM Journal on Scientific Computing, Ahead of Print. Parareal is a well-studied algorithm for numerically integrating systems of time-dependent differential equations by parallelizing the temporal domain. Given approximate initial...

By Zhijian He, Zhenghang Xu, and Xiaoqun Wang SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1884-A1910, August 2022. Variational Bayes (VB) is a popular tool for Bayesian inference in statistical modeling. Recently, some VB...

By Rifqi Aziz, Emre Mengi, and Matthias Voigt SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1833-A1858, August 2022. We first consider the problem of approximating a few eigenvalues of a rational matrix-valued function closest...

By Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, and Axel Voigt SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1807-A1832, August 2022. In this paper we study parametric trace finite element (TraceFEM) and parametric surface finite element (SFEM)...

By James H. Adler, Yunhui He, Xiaozhe Hu, Scott MacLachlan, and Peter Ohm SIAM Journal on Scientific Computing, Ahead of Print. Advanced finite-element discretizations and preconditioners for models of poroelasticity have attracted significant attention in recent years. The equations of poroelasticity...

By Yu-hsuan Shih, Georg Stadler, and Florian Wechsung SIAM Journal on Scientific Computing, Ahead of Print. We present augmented Lagrangian Schur complement preconditioners and robust multigrid methods for incompressible Stokes problems with extreme viscosity variations. Such Stokes...

By Peter Bastian, Robert Scheichl, Linus Seelinger, and Arne Strehlow SIAM Journal on Scientific Computing, Ahead of Print. Highly heterogeneous, anisotropic coefficients, e.g., in the simulation of carbon-Fiber composite components, can lead to extremely challenging finite element systems. Direct...

By Lina Sorg
Accurate models can further researchers’ overall knowledge of cerebrovascular diseases like stroke and intracranial aneurysm, which arise due to issues with blood vessels in ...

By Lina Sorg
Head and neck cancers have the sixth highest incidence among cancers worldwide and result in roughly 550,000 new cases and 380,000 deaths per year. Locoregional recurrence of ...

By Luís M. Grilo and Anuj Mubayi
The ongoing COVID-19 pandemic, now in its third year, has disrupted the social interactions, workplace settings, and educational routines of millions of ...

By Qing Nie
The NSF-Simons Center for Multiscale Cell Fate Research (CMCF) at the University of California, Irvine (UCI) actively connects researchers across the mathematical, physical, ...

By Matthew R. Francis
A white blood cell slips through the gaps between other cells, stretching and bending as it goes. Though its movement strongly evokes that of a macroscopic ...

By Sujit Datta
Bacteria critically impact our everyday lives: they cause or prevent disease, foul industrial equipment, spoil foods, degrade contaminants, fix nitrogen and carbon, and ...

MGB-SIAM Early Career Fellowship applications are now open! This fellowship recognizes the achievements of early career applied mathematicians – particularly those belonging to racial and ethnic ...

By Aditi Ghosh , Carmen Caiseda , and Padmanabhan Seshaiyer
The Workshop Celebrating Diversity (WCD) at the 2022 SIAM Annual Meeting (AN22) —which took place in Pittsburgh, Pa., this ...

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.

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 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.

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.

Established in 2016, the prize is awarded to an individual in their early career for research contributions in the field of mathematics applied to the life sciences.

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.

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.

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.

The MAA-SIAM-AMS Hrabowski-Gates-Tapia-McBay (HGTM) Lecture is named after four influential scientists of color: Freeman Hrabowski, President of the University of Maryland at Baltimore County; James S. Gates, University of Maryland, College Park; Richard Tapia, Rice University; and Shirley McBay, Founder and former President of Quality Education for Minorities. This lecture started in 2016 as an activity of the Mathematical Association of America’s Committee on Minority Participation and became a jointly sponsored MAA-SIAM-AMS event in 2018.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to six 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 Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were 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.

This activity group was established to foster the application of mathematics to the life sciences and research in mathematics that leads to new methods and techniques useful in the life sciences.

SIAM Journal on Scientific Computing (SISC) contains research articles on numerical methods and techniques for scientific computation. Papers in this journal address computational issues relevant to the solution of scientific or engineering problems and include computational results demonstrating the effectiveness of the proposed techniques.

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.