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.

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.

Established in 2019, the prize is awarded every two years to an early career researcher for recent contributions in the field of partial differential equations.

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 Daozhou Gao SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2144-2169, January 2020. Human movement facilitates the spatial spread of infectious diseases and poses a serious threat to disease...

By Vladimir E. Nazaikinskii, Pavel G. Bedrikovetsky, Liudmila I. Kuzmina, and Yuri V. Osipov SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2120-2143, January 2020. An initial-boundary value problem for a quasilinear system describing deep bed filtration of a monodisperse suspension...

By Anna Y. Zemlyanova SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2098-2119, January 2020. This paper considers the problem of interaction of multiple straight plane cracks in the presence of...

By Danielle Ciesielski, Stephanie McCalla, and Tomas Gedeon SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2071-2097, January 2020. Isothermal DNA amplification schemes have broad applications, from molecular detection to DNA circuits. A newly developed...

By Junshan Lin, Stephen P. Shipman, and Hai Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2045-2070, January 2020. This work concerns resonant scattering by a perfectly conducting slab with periodically arranged subwavelength slits, with...

By Carlos J. García-Cervera, Tiziana Giorgi, and Sookyung Joo SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2024-2044, January 2020. We investigate the relaxation of an energy functional that originated in the physics literature to study...

By Daozhou Gao SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2144-2169, January 2020. Human movement facilitates the spatial spread of infectious diseases and poses a serious threat to disease...

By Vladimir E. Nazaikinskii, Pavel G. Bedrikovetsky, Liudmila I. Kuzmina, and Yuri V. Osipov SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2120-2143, January 2020. An initial-boundary value problem for a quasilinear system describing deep bed filtration of a monodisperse suspension...

By Anna Y. Zemlyanova SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2098-2119, January 2020. This paper considers the problem of interaction of multiple straight plane cracks in the presence of...

By Danielle Ciesielski, Stephanie McCalla, and Tomas Gedeon SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2071-2097, January 2020. Isothermal DNA amplification schemes have broad applications, from molecular detection to DNA circuits. A newly developed...

By Junshan Lin, Stephen P. Shipman, and Hai Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2045-2070, January 2020. This work concerns resonant scattering by a perfectly conducting slab with periodically arranged subwavelength slits, with...

By Carlos J. García-Cervera, Tiziana Giorgi, and Sookyung Joo SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2024-2044, January 2020. We investigate the relaxation of an energy functional that originated in the physics literature to study...

By Chin-Lung Li and Jinn-Liang Liu SIAM Journal on Applied Mathematics, Volume 80, Issue 5, Page 2003-2023, January 2020. The Debye--Hückel (DH) equation is a fundamental physical model in chemical thermodynamics that describes the free...

By Yu Jiang, Hiroshi Fujiwara, and Gen Nakamura SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 2001-2001, January 2020. This is an erratum for Lemma 5.1 in the paper “Approximate Steady State Models for Magnetic...

By Shanshan Chen and Junping Shi SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1999-2000, January 2020. The main purpose of this erratum is to correct some errors of signs in [S....

By Alexander O. Spiridonov, Alina Oktyabrskaya, Evgenii M. Karchevskii, and Alexander I. Nosich SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1977-1998, January 2020. The current paper proposes a parametric eigenvalue problem for the Helmholtz equation on the plane...

By Joonas Ilmavirta, Olli Koskela, and Jesse Railo SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1947-1976, January 2020. We present a new computed tomography (CT) method for inverting the Radon transform in...

By Balázs Boros, Gheorghe Craciun, and Polly Y. Yu SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1936-1946, January 2020. We show that weakly reversible mass-action systems can have a continuum of positive steady states, coming...

By Hamid Mofidi and Weishi Liu SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1908-1935, January 2020. In this paper, based on geometric singular perturbation analysis of a quasi--one-dimensional ...

By José A. Ferreira, Paula de Oliveira, and Luís Pinto SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1882-1907, January 2020. The skin is the largest organ of the human body, offering an accessible interface for...

By Christian Parkinson, David Arnold, Andrea Bertozzi, and Stanley Osher SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1862-1881, January 2020. We present a method for optimal path planning of human walking paths in mountainous terrain using...

By Felisia A. Chiarello, Jan Friedrich, Paola Goatin, and Simone Göttlich SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1841-1861, January 2020. We introduce a Follow-the-Leader approximation of a nonlocal generalized Aw--Rascle--Zhang (GARZ) model for traffic flow. We...

By Patrick De Leenheer SIAM Review, Volume 62, Issue 3, Page 716-726, January 2020. We present an elementary proof of a generalization of Kirchhoff's matrix tree theorem to directed, weighted graphs. The proof...

By Lek-Heng Lim SIAM Review, Volume 62, Issue 3, Page 685-715, January 2020. This is an elementary introduction to the Hodge Laplacian on a graph, a higher-order generalization of the graph Laplacian....

By Andrii Mironchenko and Christophe Prieur SIAM Review, Volume 62, Issue 3, Page 529-614, January 2020. In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems....

By Ernesto Estrada, Gissell Estrada-Rodriguez, and Heiko Gimperlein SIAM Review, Volume 62, Issue 3, Page 617-645, January 2020. In a complex system, the interplay between the internal structure of its entities and their interconnection may play a...

By Jed A. Duersch and Ming Gu SIAM Review, Volume 62, Issue 3, Page 661-682, January 2020. Rank-revealing matrix decompositions provide an essential tool in spectral analysis of matrices, including the Singular Value Decomposition (SVD) and...

By Vicky Chuqiao Yang, Daniel M. Abrams, Georgia Kernell, and Adilson E. Motter SIAM Review, Volume 62, Issue 3, Page 646-657, January 2020. Since the 1960s, Democrats and Republicans in the U.S. Congress have taken increasingly polarized positions, while the public's policy...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 3, Page 683-683, January 2020. This issue of SIAM Review contains two papers in the Education section. The first paper, “Hodge Laplacians on Graphs,”...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 3, Page 615-615, January 2020. In this issue, Research Spotlights features two exciting and topically diverse articles. The authors of the first article...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 3, Page 527-527, January 2020. Andrii Mirochenko and Christophe Prieur are the authors of “Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions,”...

By Volker H. Schulz SIAM Review, Volume 62, Issue 3, Page 729-739, January 2020. These are difficult times, but some circumstances make the work in our Book Reviews section even more difficult. Due...

By The Editors SIAM Review, Volume 62, Issue 3, Page 659-659, January 2020. The SIGEST article in this issue, “Randomized Projection for Rank-Revealing Matrix Factorizations and Low-Rank Approximations,” by Jed A. Duersch...

By Zhe Huang and Chunhua Ou SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1820-1840, January 2020. In this paper, we investigate the speed determinacy (or selection mechanism) of traveling waves to a...

By Qianqian Zhang, Biao Tang, Tianyu Cheng, and Sanyi Tang SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1796-1819, January 2020. State-dependent impulsive dynamical systems have been widely applied to model and qualitatively analyze discontinuous and state-dependent...

By Sze-Bi Hsu, Zhihua Liu, and Pierre Magal SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1778-1795, January 2020. The goal of this paper is to explain how to derive the classical Rosenzweig--MacArthur model by...

By Murad Banaji SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1751-1777, January 2020. We show that if a chemical reaction network (CRN) admits nondegenerate (resp., linearly stable) oscillation, and...

By Mohit P. Dalwadi and John R. King SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1723-1750, January 2020. When modeling transport of a chemical species to a colony of bacteria in a biofilm, it...

By Yucen Han, Apala Majumdar, and Lei Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1678-1703, January 2020. We study reduced nematic equilibria on regular two-dimensional polygons with Dirichlet tangent boundary conditions in ...

By Stéphane Junca and Bruno Lombard SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1704-1722, January 2020. A coupled system involving a nonlinear scalar PDE and a linear ODE is theoretically investigated....

By Wei Jiang, Quan Zhao, and Weizhu Bao SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1654-1677, January 2020. The problem of simulating solid-state dewetting of thin films in three dimensions (3D) by using a...

By Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Timothy V. Roberts, and Martin Wechselberger SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1629-1653, January 2020. We examine the spectral stability of travelling waves of the haptotaxis model studied in [K. Harley...

By Di Kang, Patrick Choi, and Chiu-Yen Kao SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1607-1628, January 2020. We consider the problem of minimizing the first nonzero eigenvalue of an elliptic operator with Neumann...

By Qiang Du, Ruotai Li, and Lei Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1590-1606, January 2020. The electric field plays an important role in ferroelectric phase transition. There have been numerous phase...

By Dang H. Nguyen and Edouard Strickler SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1567-1589, January 2020. In numerous papers, the behavior of stochastic population models is investigated through the sign of...

By Laurent Bourgeois and Christophe Hazard SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1546-1566, January 2020. We address scattering problems for impenetrable obstacles in an infinite elastic Kirchhoff--Love two-dimensional plate. The analysis...

By Frédéric Paquin-Lefebvre, Wayne Nagata, and Michael J. Ward SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1520-1545, January 2020. We study the dynamics of systems consisting of two spatially segregated ODE compartments coupled through a...

By Zhenguo Bai, Yijun Lou, and Xiao-Qiang Zhao SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1493-1519, January 2020. Diapause, a period of arrested development driven by adverse environmental conditions, plays an important role in...

By Junqing Chen, Ying Liang, and Jun Zou SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1467-1492, January 2020. We study an inverse problem associated with an eddy current model. We first address the ill-posedness...

By Elliot Cartee and Alexander Vladimirsky SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1441-1466, January 2020. We present two models of perpetrators' decision-making in extracting resources from a protected area. It...

By Mikyoung Lim and Graeme W. Milton SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1420-1440, January 2020. For certain shapes of inclusions embedded in a body, the field inside the inclusion is uniform...

By Andrea Cristofari, Francesco Rinaldi, and Francesco Tudisco SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1392-1419, January 2020. Maximizing the modularity of a network is a successful tool to identify an important community of...

By Rinaldo M. Colombo, Helge Holden, and Francesca Marcellini SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1377-1391, January 2020. We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road...

By Juan Segura, Frank M. Hilker, and Daniel Franco SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1356-1376, January 2020. Motivated by a problem in the management of ecological populations, we study the bifurcation structure known...

By Chen Jia SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1336-1355, January 2020. Single-cell RNA sequencing data have complex features such as dropout events, overdispersion, and high-magnitude outliers, resulting...

By Mingtao Xia, Chris D. Greenman, and Tom Chou SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1307-1335, January 2020. Cell division is a process that involves many biochemical steps and complex biophysical mechanisms. To...

By Yilun Shang SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1272-1289, January 2020. Community structure underpins many complex networked systems and plays a vital role when components in some...

By Yunjeong Lee, Yoon-gu Hwang, Hee-Dae Kwon, Jun Yong Choi, and Jeehyun Lee SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1290-1306, January 2020. A hierarchical mixed-effects model is proposed to account for both individual- and population-level variability in human...

By Shanshan Chen and Junping Shi SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1247-1271, January 2020. The effect of diffusion rates on the basic reproduction number of a general compartmental reaction-diffusion epidemic...

By Benedict Leimkuhler, Matthias Sachs, and Gabriel Stoltz SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1197-1222, January 2020. Adaptive Langevin dynamics is a method for sampling the Boltzmann--Gibbs distribution at prescribed temperature in cases...

By Christopher M. Heggerud, Hao Wang, and Mark A. Lewis SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1223-1246, January 2020. Cyanobacterial (CB) blooms are becoming a global concern due to the increasing prevalence of eutrophication....

By Christoph Börgers and Claude Greengard SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1175-1196, January 2020. Many physical and biological processes are modeled by “particles" undergoing Lévy random walks. A feature of...

By Alexander Aurell and Boualem Djehiche SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1153-1174, January 2020. This paper introduces a system of SDEs of mean-field type that models pedestrian motion. The system...

By A. M. Bersani, A. Borri, A. Milanesi, G. Tomassetti, and P. Vellucci SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1123-1152, January 2020. In this paper we study the mathematical model of the Goldbeter--Koshland switch, or futile cycle, which...

By Ling Guo, Akil Narayan, and Tao Zhou SIAM Review, Volume 62, Issue 2, Page 483-508, January 2020. Polynomial approximations constructed using a least-squares approach form a ubiquitous technique in numerical computation. One of the simplest ways...

By Lloyd N. Trefethen SIAM Review, Volume 62, Issue 2, Page 439-462, January 2020. Boundary-value problems involving the linear differential equation $\varepsilon y'' - x y' + y = 0$ have surprising properties...

By Yair Carmon and John C. Duchi SIAM Review, Volume 62, Issue 2, Page 395-436, January 2020. We consider minimization of indefinite quadratics with either trust-region (norm) constraints or cubic regularization. Despite the nonconvexity of these...

By Anne Greenbaum, Ren-Cang Li, and Michael L. Overton SIAM Review, Volume 62, Issue 2, Page 463-482, January 2020. We present first-order perturbation analysis of a simple eigenvalue and the corresponding right and left eigenvectors of a general...

By Philipp Grohs, Sarah Koppensteiner, and Martin Rathmair SIAM Review, Volume 62, Issue 2, Page 301-350, January 2020. The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier...

By Michael T. Schaub, Austin R. Benson, Paul Horn, Gabor Lippner, and Ali Jadbabaie SIAM Review, Volume 62, Issue 2, Page 353-391, January 2020. Using graphs to model pairwise relationships between entities is a ubiquitous framework for studying complex systems and data. Simplicial...

By Chaozhen Wei, Luchan Zhang, Jian Han, David J. Srolovitz, and Yang Xiang SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1101-1122, January 2020. The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs),...

By Volker H. Schulz SIAM Review, Volume 62, Issue 2, Page 511-526, January 2020. I am writing these lines in April 2020 while science is in lockdown mode globally. They will be published...

By The Editors SIAM Review, Volume 62, Issue 2, Page 393-393, January 2020. The SIGEST article in this issue, “First-Order Methods for Nonconvex Quadratic Minimization,” by Yair Carmon and John C. Duchi,...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 2, Page 351-351, January 2020. The current issue of SIAM Review features the Research Spotlights article “Random Walks on Simplicial Complexes and the Normalized...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 2, Page 437-438, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Lloyd N. Trefethen...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 2, Page 299-299, January 2020. In a previous issue of SIAM Review, I started my introduction to the Survey and Review section by saying...

By Shrinidhi S. Pandurangi, Timothy J. Healey, and Nicolas Triantafyllidis SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1083-1100, January 2020. Transverse wrinkles are known to appear in thin rectangular elastic sheets when stretched in the long...

By Noemi Montobbio, Alessandro Sarti, and Giovanna Citti SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 1057-1081, January 2020. The purpose of this work is to construct a model for the functional architecture of the...

By Francisco de la Hoz, Sandeep Kumar, and Luis Vega SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 1034-1056, January 2020. In this paper, we consider the evolution of the vortex filament equation (VFE): $X_t = X_s...

By Raquel González-Fariña, Andreas Münch, James M. Oliver, and Robert A. Van Gorder SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 1003-1033, January 2020. Microsilica particles arise as a byproduct of silicon furnace operation, created inside high temperature flames due...

By N. Benjamin Erichson, Peng Zheng, Krithika Manohar, Steven L. Brunton, J. Nathan Kutz, and Aleksandr Y. Aravkin SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 977-1002, January 2020. Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing...

By Johan Helsing and Anders Karlsson SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 951-976, January 2020. A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic...

By Zuhan Liu, Canrong Tian, and Shigui Ruan SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 929-950, January 2020. Based on the invasion of the Aedes albopictus mosquitoes and the competition between Ae. albopictus and...

By Lauren R. Dickman, Evan Milliken, and Yang Kuang SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 906-928, January 2020. Melanoma, the deadliest form of skin cancer, is regularly treated by surgery in conjunction with a...

By Samuel Cogar SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 881-905, January 2020. The Stekloff eigenvalue problem has been a recent problem of interest due to its potential use...

By Lijun Yuan and Ya Yan Lu SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 864-880, January 2020. A bound state in the continuum (BIC) on a periodic structure sandwiched between two homogeneous media...

By Robbin Bastiaansen, Arjen Doelman, Frank van Langevelde, and Vivi Rottschäfer SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 839-863, January 2020. Thermoregulation in honey bee colonies during winter is thought to be self-organized. We added mortality of...

By Dang Hai Nguyen, George Yin, and Chao Zhu SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 814-838, January 2020. This paper investigates a stochastic SIRS epidemic model with an incidence rate that is sufficiently...

By Antonio Gaudiello and Michel Lenczner SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 792-813, January 2020. A periodic homogenization model of the electrostatic equation is constructed for a comb drive with...

By Carlos Martinez, Andrés Ávila, Francis Mairet, Leslie Meier, and David Jeison SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 772-791, January 2020. We build and analyze a mathematical model of a system for biogas upgrading: an absorption column...

By Michael Zabarankin and Bogdan Grechuk SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 753-771, January 2020. In various fields of applied mathematics, e.g., electrostatics, heat conduction, fluid mechanics, elastostatics, etc., boundary-value problems...

By Justin Sirignano and Konstantinos Spiliopoulos SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 725-752, January 2020. Machine learning, and in particular neural network models, have revolutionized fields such as image, text, and...

By Mohit P. Dalwadi, Sarah L. Waters, Helen M. Byrne, and Ian J. Hewitt SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 657-689, January 2020. When cooling cells to preserve them during cryopreservation, cooling too quickly results in the formation of...

By Pasquale Ciarletta, Hui-Hui Dai, and Matteo Taffetani SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 690-705, January 2020. This work provides a mathematical understanding of the elastic fingering provoked by a large axial extension...

By Martin Hanke and Nikolas Porz SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 706-724, January 2020. We analyze the solvability of a system of ordinary differential equations modeling a warm cloud. A...

By Giulia Piacentini, Paola Goatin, and Antonella Ferrara SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 639-656, January 2020. We consider a model describing the presence of a platoon of vehicles moving in the traffic...

By Philip S. Chodrow and Peter J. Mucha SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 620-638, January 2020. Adaptive voter models (AVMs) are simple mechanistic systems that model the emergence of mesoscopic structure from...

By Xiang Li, Qiang Du, and Xiao-Ping Wang SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 572-598, January 2020. In this paper, we study a phase-field model for the dynamics of a solid particle in...

By Andrew M. Stuart and Marie-Therese Wolfram SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 599-619, January 2020. Discrete optimal transportation problems arise in various contexts in engineering, the sciences, and the social sciences....

By Mostafa Fazly, Mark Lewis, and Hao Wang SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 521-542, January 2020. We study a hybrid impulsive reaction-advection-diffusion model given by a reaction-advection-diffusion equation composed with a discrete-time...

By Tingting Zhang, Geuk Young Jang, Tong In Oh, Kyung Woon Jeung, Hun Wi, and Eung Je Woo SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 499-520, January 2020. In electrical impedance tomography (EIT), multiple electrodes are attached around an imaging domain such as the...

By Alberto Gandolfi, Mimmo Iannelli, and Gabriela Marinoschi SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 543-571, January 2020. An age-structured model for the cell populations of the epidermis basal layer is proposed, with the...

By Alexander Cao, Benjamin Lindner, and Peter J. Thomas SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 422-447, January 2020. Stochastic oscillations are ubiquitous in many systems. For deterministic systems, the oscillator's phase has been widely...

By Adrian Muntean and Christos Nikolopoulos SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 448-475, January 2020. We derive an upscaled model describing the aggregation and deposition of colloidal particles within a...

By Gissell Estrada-Rodriguez and Heiko Gimperlein SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 476-498, January 2020. Lévy robotic systems combine superdiffusive random movement with emergent collective behavior from local communication and alignment...

By Volker H. Schulz SIAM Review, Volume 62, Issue 1, Page 283-297, January 2020. The frame for the Book Reviews section this time is formed by the books of two very well known...

By The Editors SIAM Review, Volume 62, Issue 1, Page 197-197, January 2020. The SIGEST article in this issue, “Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 1, Page 131-131, January 2020. Tensors, or multiway arrays, are often used for storage of high-dimensional data. In order to have compression, completion,...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 1, Page 1-1, January 2020. Bernard Brogliato and Aneel Tanwani are the authors of “Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness,...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 1, Page 229-230, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Robert M. Corless...

By Hanwen Cui and Weiqing Ren SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 402-421, January 2020. We consider a conductive droplet sitting on a dielectric substrate which is connected to an electrical...

By Victor Isakov, Shuai Lu, and Boxi Xu SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 338-358, January 2020. We investigate recovery of the (Schrödinger) potential function from many boundary measurements at a large wavenumber....

By Thomas Hillen and Andreas Buttenschön SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 382-401, January 2020. In 2006 Armstrong, Painter, and Sherratt formulated a nonlocal differential equation model for cell-cell adhesion. For...

By Yongcheng Zhou SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 359-381, January 2020. Morphological dynamics of bilayer membrane is intrinsically coupled to the translational and orientational localization of membrane...

By Xiaochuan Tian and Qiang Du SIAM Review, Volume 62, Issue 1, Page 199-227, January 2020. Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value...

By Bernard Brogliato and Aneel Tanwani SIAM Review, Volume 62, Issue 1, Page 3-129, January 2020. This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is...

By David Hong, Tamara G. Kolda, and Jed A. Duersch SIAM Review, Volume 62, Issue 1, Page 133-163, January 2020. Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor...

By Tracy L. Stepien, Eric J. Kostelich, and Yang Kuang SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020. Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the...

By Antônio Francisco Neto SIAM Review, Volume 62, Issue 1, Page 264-280, January 2020. In this work we introduce a new operator based approach to matrix analysis. Our main technical tool comprises an...

By Nawaf Bou-Rabee and Miranda C. Holmes-Cerfon SIAM Review, Volume 62, Issue 1, Page 164-195, January 2020. Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the...

By Robert M. Corless and Leili Rafiee Sevyeri SIAM Review, Volume 62, Issue 1, Page 231-243, January 2020. We look at two classical examples in the theory of numerical analysis, namely, the Runge example for interpolation and...

By Paul C. Bressloff, Sean D. Lawley, and Patrick Murphy SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 312-337, January 2020. We analyze the diffusion equation in a bounded interval with a stochastically gated interior barrier at...

By Christopher J. Lustri, Christopher C. Green, and Scott W. McCue SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 289-311, January 2020. The well-studied selection problems involving Saffman--Taylor fingers or Taylor--Saffman bubbles in a Hele-Shaw channel are prototypical...

By Miguel Hermanns and Santiago Ibán͂ez SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 262-288, January 2020. The thermal interaction between adjacent boreholes plays a fundamental role in the long-term thermal response of...

By Jose A. Carrillo, Xinfu Chen, Qi Wang, Zhian Wang, and Lu Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 232-261, January 2020. We show that the Keller--Segel model in one dimension with Neumann boundary conditions and quadratic cellular...

By Gheorghe Craciun, Jiaxin Jin, and Polly Y. Yu SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 183-205, January 2020. Very often, models in biology, chemistry, physics, and engineering are systems of polynomial or power-law ordinary...

By Shui-nee Chow, Wuchen Li, Jun Lu, and Haomin Zhou SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 142-159, January 2020. We propose a new dynamical model, inspired by optimal transport theory and Fisher information, for finite...

By Martin Burger, Patricia Friele, and Jan-Frederik Pietschmann SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 160-182, January 2020. We investigate a recently proposed cross-diffusion system modeling the growth of gliobastoma taking into account size...

By Qian Huang, Shuiqing Li, and Wen-An Yong SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 206-231, January 2020. In this paper, we give a systematic stability analysis of the quadrature-based moment method (QBMM) for...

By Pablo V. Negrón-Marrero and Jeyabal Sivaloganathan SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 119-141, January 2020. Let $\Omega\in\mathbb{R}^n$, $n=2,3$, be the region occupied by a hyperelastic body in its reference configuration. Let...

By Anna Ghazaryan, Stephane Lafortune, and Vahagn Manukian SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 95-118, January 2020. We consider a model that describes a flow of a thin liquid film modified by insoluble...

By Adam A. Yorkston, Mark G. Blyth, and Emilian I. Părău SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 71-94, January 2020. The deformation and stability of a two-dimensional inextensible elastic cell in an inviscid uniform stream are...

By Ehud Yariv and Darren Crowdy SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 1-19, January 2020. A common form of superhydrophobic surface is made out of a periodically grooved solid substrate, wherein...

By Roberto Camassa, Gregorio Falqui, Giovanni Ortenzi, Marco Pedroni, and Giuseppe Pitton SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 44-70, January 2020. The classical dam-break problem for the shallow water system with a dry/vacuum downstream state is revisited...

By Henrik Garde and Nuutti Hyvönen SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 20-43, January 2020. The inverse problem of electrical impedance tomography is severely ill-posed. In particular, the resolution of images...

By Mark Levi
While putting dishes in the sink, I tried to balance a knife on the edge of a pot and noticed an interesting effect: the knife balanced, and stably so, if the blade touched the ...

Update 7/14/20: Today, the Trump Administration rescinded these proposed rules on foreign students studying online, returning to the previous status quo. Thank you to all of the SIAM members who ...

We may not be able to meet in Toronto for this year’s Joint SIAM/CAIMS Annual Meeting (AN20) , but that doesn’t mean we can’t hold the meeting! SIAM and CAIMS are pivoting to virtual with a ...

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.

Established in 2019, the prize is awarded every two years to an early career researcher for recent contributions in the field of partial differential equations.

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 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.

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.

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 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 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.

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.