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 Thuyen Dang, Yuliya Gorb, and Silvia Jiménez Bolan͂os SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2547-2568, January 2021. This paper seeks to carry out the rigorous homogenization of a particulate flow consisting of a...

By Peijun Li, Xiaohua Yao, and Yue Zhao SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2503-2525, January 2021. In this paper, we study for the first time the stability of the inverse source problem...

By Darren G. Crowdy SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2526-2546, January 2021. A new mathematical connection is established between a class of two-dimensional viscous Marangoni flows driven by...

By Mark Levi
My older son, who enjoyed collecting shiny objects as a boy, kept a glass ball on his windowsill. The ball acted as a lens and burned a quarter-sized dip into the sill. The dip ...

By Ernest Davis
Curves for the Mathematically Curious: An Anthology of the Unpredictable, Historical, Beautiful, and Romantic. By Julian Havil. Princeton University Press, Princeton, NJ, ...

Following SIAM’s recent elections, we are pleased to announce our new President-Elect, Vice President-at-Large, and Secretary, as well as Board of Trustees members and Council, as elected by the ...

By Amanda M. Alexander and Sean D. Lawley SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2457-2479, January 2021. Reaction-diffusion equations are one of the most common mathematical models in the natural sciences and are...

By Jiaqi Cheng, Peter Chesson, and Xiaoying Han SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2480-2502, January 2021. A two-species lottery competition model with nonstationary reproduction and mortality rates of both species is...

The following funding opportunity was shared by Oak Ridge Institute for Science and Education (ORISE) on November 9, 2021.
Now accepting applications for:
U.S. Department of Homeland ...

By Thuyen Dang, Yuliya Gorb, and Silvia Jiménez Bolan͂os SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2547-2568, January 2021. This paper seeks to carry out the rigorous homogenization of a particulate flow consisting of a...

By Peijun Li, Xiaohua Yao, and Yue Zhao SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2503-2525, January 2021. In this paper, we study for the first time the stability of the inverse source problem...

By Darren G. Crowdy SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2526-2546, January 2021. A new mathematical connection is established between a class of two-dimensional viscous Marangoni flows driven by...

By Amanda M. Alexander and Sean D. Lawley SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2457-2479, January 2021. Reaction-diffusion equations are one of the most common mathematical models in the natural sciences and are...

By Jiaqi Cheng, Peter Chesson, and Xiaoying Han SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2480-2502, January 2021. A two-species lottery competition model with nonstationary reproduction and mortality rates of both species is...

By Michael Levitin, Peter Monk, and Virginia Selgas SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2433-2456, January 2021. This paper is devoted to studying impedance eigenvalues (that is, eigenvalues of a particular Dirichlet-to-Neumann map)...

By Yiwen Tao, Sue Ann Campbell, and Francis J. Poulin SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2405-2432, January 2021. We study a diffusive nutrient-phytoplankton-zooplankton (NPZ) model with spatio-temporal delay. The closed nature of the system...

By Xia Ji and Xiaodong Liu SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2387-2404, January 2021. We consider the reconstruction of acoustic sources with multifrequency sparse scattered fields. Specifically, we shall use...

By Philippe Robert and Gaëtan Vignoud SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2362-2386, January 2021. In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections,...

By G. M. Coclite, F. Maddalena, G. Puglisi, M. Romano, and G. Saccomandi SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2346-2361, January 2021. The Gardner equation is an integrable system which includes the Korteweg--de Vries (for quadratic nonlinearitry) and...

By Raymond Boute SIAM Review, Volume 63, Issue 4, Page 854-864, January 2021. The multivariable chain rule is often challenging to students because it is usually presented with ambiguities and other defects...

By Chris Brimacombe, Robert M. Corless, and Mair Zamir SIAM Review, Volume 63, Issue 4, Page 653-720, January 2021. Mathieu functions of period $\pi$ or $2\pi$, also called elliptic cylinder functions, were introduced in 1868 by Émile Mathieu...

By Christian Clason, Carla Tameling, and Benedikt Wirth SIAM Review, Volume 63, Issue 4, Page 783-821, January 2021. We consider a class of infinite-dimensional optimization problems in which a distributed vector-valued variable should pointwise almost everywhere take...

By Gianmarco Mengaldo, David Moxey, Michael Turner, Rodrigo Costa Moura, Ayad Jassim, Mark Taylor, Joaquim Peiró, and Spencer Sherwin SIAM Review, Volume 63, Issue 4, Page 723-755, January 2021. We present a successful deployment of high-fidelity large-eddy simulation (LES) technologies based on spectral/$hp$ element methods to industrial flow...

By Julien Petit, Renaud Lambiotte, and Timoteo Carletti SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2323-2345, January 2021. Graph-limit theory focuses on the convergence of sequences of increasingly large graphs, providing a framework ...

By Arthur E. P. Veldman SIAM Review, Volume 63, Issue 4, Page 756-779, January 2021. It has been found advantageous for finite-volume discretizations of flow equations to possess additional (secondary) invariants, besides the (primary)...

By Mengjia Xu SIAM Review, Volume 63, Issue 4, Page 825-853, January 2021. Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from the...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 4, Page 721-721, January 2021. The car-themed cover art on the current issue of SIAM Review is courtesy of the first of two Research...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 4, Page 823-823, January 2021. The Education section in this issue presents two papers. The first paper, “Understanding Graph Embedding Methods and Their Applications,”...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 4, Page 651-651, January 2021. The Survey and Review paper in this issue, “Computation and Applications of Mathieu Functions: A Historical Perspective,” by Chris...

By Volker H. Schulz SIAM Review, Volume 63, Issue 4, Page 867-875, January 2021. The first half of this section is devoted to books related to data science. The featured review on the...

By The Editors SIAM Review, Volume 63, Issue 4, Page 781-781, January 2021. The SIGEST article in this issue, which comes from the SIAM Journal on Control and Optimization (SICON), is “Convex...

By Alexandre Kawano, Antonino Morassi, and Ramón Zaera SIAM Journal on Applied Mathematics, Volume 81, Issue 6, Page 2297-2322, January 2021. Spiders perform a task similar to solving an inverse problem when detecting the position of a...

By A. Oblakova, A. Al Hanbali, R. J. Boucherie, J. C. W. van Ommeren, and W. H. M. Zijm SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2265-2295, January 2021. Many (discrete) stochastic systems are analyzed using the probability generating function (pgf) technique, which often leads...

By Yuliya Gorb and Yuri Kuznetsov SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2246-2264, January 2021. This paper is about solutions to PDEs in which the ratio between the largest and smallest...

By Erlend Hodneland, Xiaozhe Hu, and Jan M. Nordbotten SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2218-2245, January 2021. In this work, we show the underlying mathematical structure of mixed-dimensional models arising from the composition...

By Sebastian J. Schreiber, Shuo Huang, Jifa Jiang, and Hao Wang SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2195-2217, January 2021. Stochastic discrete-time susceptible--infected--susceptible (SIS) and susceptible--infected--recovered (SIR) models of endemic diseases are introduced and analyzed. For...

By Michael Zabarankin and Ying Zhang SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2180-2194, January 2021. The problem of deformation of a drop freely suspended in another fluid and subjected to an...

By Ruo Li, Weiming Li, and Lingchao Zheng SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2153-2179, January 2021. To close the moment model deduced from kinetic equations, the canonical approach is to provide an...

By Seung-Yeal Ha and Hansol Park SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2130-2152, January 2021. We present a dynamical systems approach for geometric matchings in an ensemble of polytopes along rigid-body...

By Jiu-Gang Dong SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2111-2129, January 2021. We study the pattern formation problem of the Cucker--Smale (CS) flocking model. A distributed CS type...

By Cristobal Bertoglio, David Nolte, Grigory Panasenko, and Konstantinas Pileckas SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2083-2110, January 2021. The method of asymptotic partial decomposition of a domain (MAPDD) proposed and justified earlier for thin...

By Lynn Schreyer, Nikos Voulgarakis, Zachary Hilliard, Sergey Lapin, and Loren Cobb SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2061-2082, January 2021. Recent developments in the continuum mechanics methods for flow through porous media offer some unexpected benefits...

By Ed Bueler SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2007-2032, January 2021. Time-dependent models of fluid motion in thin layers, subject to signed source terms, represent important subproblems...

By Tilo Arens, Roland Griesmaier, and Marvin Knöller SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1979-2006, January 2021. Any time-harmonic electromagnetic wave can be uniquely decomposed into left and right circularly polarized...

By Jakob Hansen and Robert Ghrist SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 2033-2060, January 2021. We introduce a novel class of network structures called discourse sheaves, together with generalizations of...

By Jacqueline M. Wentz and David M. Bortz SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1870-1892, January 2021. Although the spatially discrete reaction-diffusion equation is often used to describe biological processes, the effect of...

By Raphaël Forien, Guodong Pang, and Étienne Pardoux SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1893-1930, January 2021. We introduce an epidemic model with varying infectivity and general exposed and infectious periods, where the...

By Michael V. Klibanov, Jingzhi Li, and Wenlong Zhang SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1954-1978, January 2021. For the first time, we develop a convergent numerical method for the linear integral equation derived...

By Laurent Bétermin SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1931-1953, January 2021. Certain types of neurons called “grid cells” have been shown to fire on a triangular grid...

By Rana D. Parshad, Kwadwo Antwi-Fordjour, and Eric M. Takyi SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1847-1869, January 2021. We investigate certain two species ODE and PDE Lotka--Volterra competition models, where one of the competitors...

By Philippe Robert and Gaëtan Vignoud SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1821-1846, January 2021. In neuroscience, learning and memory are usually associated with long-term changes in neuronal connectivity. In this...

By Gang Bao, Xiang Xu, and Jian Zhai SIAM Journal on Applied Mathematics, Volume 81, Issue 5, Page 1799-1820, January 2021. This paper proposes a new and efficient numerical algorithm for recovering the damping coefficient from the...

By Hassan A. El-Morshedy and Alfonso Ruiz-Herrera SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1781-1798, January 2021. In this paper we investigate the presence of oscillations and simple dynamics in $x'(t)=-\nu x(t)+f(x(t))g(x(t-\tau))$. Specifically,...

By Stefano Turzi SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1767-1780, January 2021. Organic semiconductors are intrinsic randomly inhomogeneous materials where charge transport occurs by hopping of the carriers...

By Tyler Cassidy SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1742-1766, January 2021. Compartmental ordinary differential equation (ODE) models are used extensively in mathematical biology. When transit between compartments...

By Sam L. Polk and Bruce M. Boghosian SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1717-1741, January 2021. In this work, we modify the affine wealth model of wealth distributions to examine the effects...

By Robert A. Van Gorder, Alissa Kamilova, Rolf G. Birkeland, and Andrew L. Krause SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1691-1716, January 2021. Søderberg electrodes feature prominently in the operation of metallurgical electrical furnaces. The electrode material must bake...

By Olha Ivanyshyn Yaman and Frédérique Le Louër SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1668-1690, January 2021. We analyze an inverse boundary value problem in two-dimensional viscoelastic media with a generalized impedance boundary...

By Badal Joshi and Gheorghe Craciun SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1623-1644, January 2021. We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a...

By Manman Ma, Zhenli Xu, and Liwei Zhang SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1645-1667, January 2021. We develop a modified Poisson--Nernst--Planck model which includes both the long-range Coulomb and short-range hard-sphere correlations...

By Shreya Menon and John W. Cain SIAM Review, Volume 63, Issue 3, Page 625-637, January 2021. For students in applied mathematics courses, the phenomenon of delay-induced stability and instability offers exciting educational opportunities. Exploration...

By Matthew Colbrook, Andrew Horning, and Alex Townsend SIAM Review, Volume 63, Issue 3, Page 489-524, January 2021. Using the resolvent operator, we develop an algorithm for computing smoothed approximations of spectral measures associated with self-adjoint operators....

By R. Ryan Williams SIAM Review, Volume 63, Issue 3, Page 559-582, January 2021. We present a randomized method for computing the min-plus product (a.k.a. tropical product) of two $n \times n$...

By Emil Cătinaş SIAM Review, Volume 63, Issue 3, Page 585-624, January 2021. The high speed of $x_{k}\rightarrow x^\ast\in{\mathbb R}$ is usually measured using the $C$-, $Q$-, or $R$-orders: \[ łim \tfrac...

By Sarafa A. Iyaniwura, Tony Wong, Colin B. Macdonald, and Michael J. Ward SIAM Review, Volume 63, Issue 3, Page 525-555, January 2021. The determination of the mean first passage time (MFPT) for a Brownian particle in a bounded 2-D domain containing...

By Fang-Di Dong, Jin Shang, William Fagan, and Bingtuan Li SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1600-1622, January 2021. We consider a two-species Lotka--Volterra competition-diffusion model with a shifting habitat. The growth rate of each...

By Leo Torres, Ann S. Blevins, Danielle Bassett, and Tina Eliassi-Rad SIAM Review, Volume 63, Issue 3, Page 435-485, January 2021. Complex systems, composed at the most basic level of units and their interactions, describe phenomena in a wide variety...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 3, Page 487-487, January 2021. The first of our two Research Spotlights articles in this issue gives a general framework and corresponding algorithm for...

By The Editors SIAM Review, Volume 63, Issue 3, Page 557-557, January 2021. The SIGEST article in this issue is “From Circuit Complexity to Faster All-Pairs Shortest Paths,” by R. Ryan Williams....

By Darinka Dentcheva SIAM Review, Volume 63, Issue 3, Page 583-583, January 2021. The Education section in this issue contains two papers. The first paper, “How Many Steps Still Left to ${x}^*$?,”...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 3, Page 433-433, January 2021. Our Survey and Review paper, “The Why, How, and When of Representations for Complex Systems,” by Leo Torres, Ann...

By Volker H. Schulz SIAM Review, Volume 63, Issue 3, Page 641-650, January 2021. The majority of books in this issue are devoted to modeling in one form or another. The featured review...

By Thomas Koprucki, Anieza Maltsi, and Alexander Mielke SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1552-1578, January 2021. The Darwin--Howie--Whelan equations are commonly used to describe and simulate the scattering of fast electrons in...

By Pu-Zhao Kow and Jenn-Nan Wang SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1530-1551, January 2021. In this paper, we would like to characterize nonradiating volume and surface (faulting) sources for the...

By Tao Feng, Zhipeng Qiu, and Yun Kang SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1579-1599, January 2021. Recruitment plays a vital role in the ecological and evolutionary successes of social insect colonies. In...

By Sunčica Čanić, Yifan Wang, and Martina Bukač SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1503-1529, January 2021. We propose a Navier--Stokes--Biot fluid-structure interaction (FSI) model to study the interaction between an incompressible, viscous...

By L. G. Bennetts and M. H. Meylan SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1483-1502, January 2021. The problem of ice shelf vibrations forced by incident waves from the open ocean is considered,...

By Léonard Dekens and Florian Lavigne SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1441-1460, January 2021. The adaptation of biological species to their environment depends on their traits. When various biological processes...

By Barbara Kaltenbacher and Vanja Nikolić SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1461-1482, January 2021. We analyze the behavior of third-order-in-time linear and nonlinear sound waves in thermally relaxing fluids and...

By Barbara I. Mahler SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1416-1440, January 2021. Spreading processes on networks with some underlying spatial structure can be influenced by that structure, and...

By Yue Yu, Gianmarc Grazioli, Nolan E. Phillips, and Carter T. Butts SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1389-1415, January 2021. Exponential family random graph models (ERGMs) are widely used to model networks by parameterizing graph probability...

By John R. King, Jakub Köry, and Mariya Ptashnyk SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1361-1388, January 2021. In this paper we undertake a multiscale analysis of nutrient uptake by plant roots by considering...

By Chang Yang and Léon Matar Tine SIAM Journal on Applied Mathematics, Volume 81, Issue 4, Page 1339-1360, January 2021. We propose an interaction model for two substances (molecules) of concentrations $f$ and $g$. The substance...

By Roland Griesmaier and Bastian Harrach SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1332-1337, January 2021. We correct a mistake in the proof of Theorem 5.3 in [R. Griesmaier and B. Harrach,...

By Matthew Ackley and Peter Stechlinski SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1303-1331, January 2021. This article investigates parametric sensitivities of rioting activity, based on a model of the 2005 French...

By Remus Stana, Grant Lythe, and Carmen Molina-París SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1287-1302, January 2021. We consider diffusion in a disk, representing a cell with a circular interior compartment. Using bipolar...

By J. A. Ferreira, Paula de Oliveira, P. M. da Silva, and M. Grassi SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1226-1247, January 2021. Following the implantation of indwelling medical devices, bacteria inoculated during the surgery or coming from a...

By Sarra Nouaoura, Nahla Abdellatif, Radhouane Fekih-Salem, and Tewfik Sari SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1264-1286, January 2021. In this paper, we are interested in a mechanistic model describing the anaerobic mineralization of chlorophenol...

By Jonathan R. Potts and Kevin J. Painter SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1248-1263, January 2021. Aggregation phenomena occur across the biological sciences, from cell adhesion to insect swarms, animal home ranges...

By Sun-Ho Choi and Hyowon Seo SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1202-1225, January 2021. We consider synchronization of the all-to-all power grid model with inertia and nonlinear terms of...

By Costy Kodsi and Andrey P. Jivkov SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1190-1201, January 2021. The boundary value problem on a weighted graph relevant to the static analysis of truss structures...

By Stephen Kirkland, Zhisheng Shuai, P. van den Driessche, and Xueying Wang SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1166-1189, January 2021. We consider the spread of an infectious disease in a heterogeneous environment modeled as a network...

By Alexis Courtais, Abderrazak M. Latifi, François Lesage, and Yannick Privat SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1141-1165, January 2021. This paper deals with geometric shape optimization of a parallelepiped shaped fixed-bed reactor with single phase...

By Amin Khademi and Xin Liu SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1116-1140, January 2021. We consider the problem of dynamic allocation of organs to patients in a transplant system. The...

By Chao Fan, Bo Li, and Michael R. White SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1098-1115, January 2021. We introduce a mathematical modeling framework for the conformational dynamics of charged molecules (i.e., solutes) in...

By Mohsen Yousefnezhad, Chiu-Yen Kao, and Seyyed Abbas Mohammadi SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1077-1097, January 2021. In this paper we address the question of determining optimal chemotherapy strategies to prevent the growth...

By S. Jonathan Chapman and Zachary M. Wilmott SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1034-1051, January 2021. Using a discrete version of the method of multiple scales, the problem of fluid flow through...

By Jian-Guo Liu, Min Tang, Li Wang, and Zhennan Zhou SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1052-1076, January 2021. At the continuous level, we consider two types of tumor growth models: the cell density...

By Arun Pandian, Jiahe Tony Li, and Snezhana I. Abarzhi SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1002-1019, January 2021. Rayleigh--Taylor (RT) and Richtmyer--Meshkov (RM) instabilities and RT/RM interfacial mixing are omnipresent in nature and technology...

By Alexander M. Cox, Emma Horton, Andreas E. Kyprianou, and Denis Villemonais SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 982-1001, January 2021. The neutron transport equation (NTE) describes the flux of neutrons over time through an inhomogeneous fissile...

By Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi, and Takashi Nakazawa SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 1020-1033, January 2021. The Neumann--Poincaré operator defined on a smooth surface has a sequence of eigenvalues converging to zero,...

By Owen L. Lewis and James P. Keener SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 965-981, January 2021. Diffusive transport of small ionic species through mucus layers is a ubiquitous phenomenon in physiology. However,...

By Yuri F. Albuquerque, Antoine Laurain, and Irwin Yousept SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 939-964, January 2021. Velocity models presenting sharp interfaces are highly relevant in seismic imaging, e.g., for imaging the subsurface...

By Paul C. Bressloff SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 919-938, January 2021. In this paper we develop a directional search-and-capture model of cytoneme-based morphogenesis. We consider a single...

By Giulia Bevilacqua, Pasquale Ciarletta, and Alfio Quarteroni SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 897-918, January 2021. Before septation processes shape its four chambers, the embryonic heart is a straight...

By David P. Nicholls and Xin Tong SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 871-896, January 2021. It is critically important that engineers be able to numerically simulate the scattering of electromagnetic radiation...

By Martin Friesen, Hanno Gottschalk, Barbara Rüdiger, and Antoine Tordeux SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 853-870, January 2021. Waves and oscillations are commonly observed in the dynamics of self-driven agents such as pedestrians or...

By David M. Skene and Luke G. Bennetts SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 834-852, January 2021. A transition-loss theory for waves reflected by an overwashed step and transmitted by an overwashed plate...

By Josselin Garnier SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 814-833, January 2021. Motivated by applications to wireless communications, this paper addresses the propagation of waves transmitted by ambient...

By Volker H. Schulz SIAM Review, Volume 63, Issue 2, Page 419-431, January 2021. The April issue of SIAM News sadly reported on the death of Bob O'Malley (https://sinews.siam.org/Details-Page/obituary-robert-e-omalley-jr). He led the Book...

By The Editors SIAM Review, Volume 63, Issue 2, Page 373-373, January 2021. The SIGEST article in this issue is “A General Framework for Fractional Order Compartment Models,” by Christopher N. Angstmann,...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 2, Page 247-247, January 2021. ``Stochastic Control Liaisons: Richard Sinkhorn Meets Gaspard Monge on a Schrödinger Bridge,” by Yongxin Chen, Tryphon T. Georgiou, and...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 2, Page 393-393, January 2021. This issue of SIAM Review presents two papers in the Education section. The first paper, “Rotations in Three Dimensions,”...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 2, Page 315-315, January 2021. Under what conditions does a semilinear parabolic equation have the maximum bound principle, and do numerical approximations of it...

By Christopher N. Angstmann, Austen M. Erickson, Bruce I. Henry, Anna V. McGann, John M. Murray, and James A. Nichols SIAM Review, Volume 63, Issue 2, Page 375-392, January 2021. Compartment models are a widely used class of models that are useful when considering the flow of objects, ...

By Art B. Owen and Daniel Rudolf SIAM Review, Volume 63, Issue 2, Page 360-372, January 2021. This article provides a strong law of large numbers for integration on digital nets randomized by a nested uniform...

By Robert Stephen Cantrell, Chris Cosner, and King-Yeung Lam SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 789-813, January 2021. A population is said to have an ideal free distribution in a spatially heterogeneous but temporally...

By Qiang Du, Lili Ju, Xiao Li, and Zhonghua Qiao SIAM Review, Volume 63, Issue 2, Page 317-359, January 2021. The ubiquity of semilinear parabolic equations is clear from their numerous applications ranging from physics and biology to materials...

By Milton F. Maritz SIAM Review, Volume 63, Issue 2, Page 395-404, January 2021. The Rodrigues formula for the $3\times 3$ rotation matrix is hardly ever derived from first principles in a simple...

By Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon SIAM Review, Volume 63, Issue 2, Page 249-313, January 2021. In 1931--1932, Erwin Schrödinger studied a hot gas Gedankenexperiment (an instance of large deviations of the empirical distribution). Schrödinger's...

By Pablo D. Brubeck, Yuji Nakatsukasa, and Lloyd N. Trefethen SIAM Review, Volume 63, Issue 2, Page 405-415, January 2021. Vandermonde matrices are exponentially ill-conditioned, rendering the familiar “polyval(polyfit)” algorithm for polynomial interpolation and least-squares fitting ineffective at higher...

By Robert Timms, Scott G. Marquis, Valentin Sulzer, Colin P. Please, and S. Jonathan Chapman SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 765-788, January 2021. A three-dimensional model of a single-layer lithium-ion pouch cell is presented which couples conventional porous electrode...

By Cassidy Mentus and Marcus Roper SIAM Journal on Applied Mathematics, Volume 81, Issue 3, Page 741-764, January 2021. Many foraging microorganisms rely upon cellular transport networks to deliver nutrients, fluid, and organelles between different...

By Kristian B. Kiradjiev, Christopher J. Breward, Ian Griffiths, and Donald W. Schwendeman SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 591-619, January 2021. Many chemical filters contain reactive components where harmful substances are removed or transformed. In this paper,...

By Joseph P. Ndenda, John Boscoh H. Njagarah, and Conrad B. Tabi SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 641-665, January 2021. A fractional-order model for myxomatosis transmission dynamics is developed and analyzed. The presented compartmentalized model is...

By Wangtao Lu SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 666-693, January 2021. This paper proposes, for wave propagating in a globally perturbed half-plane with a perfectly conducting step-like...

By Bo Zheng, Jianshe Yu, and Jia Li SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 718-740, January 2021. The release of Wolbachia-infected mosquitoes in 2016 and 2017 enabled near-elimination of the sole dengue vector...

By Ariel Barel, Thomas Dagès, Rotem Manor, and Alfred M. Bruckstein SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 620-640, January 2021. Gathering is a fundamental task for multiagent systems. The problem has been studied under various assumptions...

By Jeffrey Rauch and L. Ridgway Scott SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 694-717, January 2021. The electrostatic fields and potentials associated with neutral periodic crystals are defined by sums that are...

By T. Babb, G. P. Benham, J. Bows, R. Gonzalez-Farina, K. B. Kiradjiev, W. T. Lee, and S. Tibos SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 574-590, January 2021. When frying potato snacks, it is typically observed that the dough, which is submerged in hot...

By Oscar Gonzalez SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 551-573, January 2021. The transport dynamics of a rigid filament in a slow viscous flow modeled by the Stokes...

By Markus Breit and Gillian Queisser SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 530-550, January 2021. Modeling and simulation of neuronal processes has evolved from the one-dimensional (1D), symmetry-exploiting cable equation to...

By Giulio Lauretano and Renato Spigler SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 507-529, January 2021. The Lifshitz--Slyozov (LS) and the Lifshitz--Slyozov--Wagner (LSW) models for the so-called “Ostwald ripening" are compared, with...

By Peijun Li and Xu Wang SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 485-506, January 2021. In this paper, a new model is proposed for the inverse random source scattering problem of...

By Clément Cancès and David Maltese SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 454-484, January 2021. We propose a reduced model taking account of the capillary trapping to simulate oil migration in...

By Chiara Villa, Mark A. Chaplain, and Tommaso Lorenzi SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 434-453, January 2021. We present a mathematical study of the emergence of phenotypic heterogeneity in vascularized tumors. Our study...

By Chris Cosner and Nancy Rodriguez SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 407-433, January 2021. It is well known that movement strategies in ecology and in economics can make the difference...

By Daniel Gomez, Michael J. Ward, and Juncheng Wei SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 378-406, January 2021. Localized spot patterns, where one or more solution components concentrate at certain points in the domain,...

By Annabelle Collin, Thibaut Kritter, Clair Poignard, and Olivier Saut SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 355-377, January 2021. We present a shape-oriented data assimilation strategy suitable for front-tracking tumor growth problems. A general hyperbolic/elliptic...

By Yong-Jung Kim and Hyowon Seo SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 335-354, January 2021. A revertible kinetic equation for Brownian particles is introduced when the turning frequency and the collision...

By Eugene C. Gartland SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 304-334, January 2021. Systems involving nematic liquid crystals subjected to magnetic fields or electric fields are modeled using the...

By Geir K. Pedersen SIAM Journal on Applied Mathematics, Volume 81, Issue 2, Page 285-303, January 2021. The present study was originally motivated by some intriguing exact solutions for waves propagating in nonuniform...

By Andreas Kirsch and Andreas Rieder SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 282-283, January 2021. With this erratum we correct some errors in [A. Kirsch and A. Rieder, Inverse problems for...

By Simone Göttlich, Michael Herty, Salissou Moutari, and Jennifer Weissen SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 258-281, January 2021. This paper deals with the Aw--Rascle--Zhang [A. Aw and M. Rascle, SIAM J. Appl. Math., 60...

By Ruming Zhang SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 233-257, January 2021. Scattering problems in periodic waveguides are interesting but also challenging topics in mathematics both theoretically and...

By Michael Vynnycky, Sean McKee, and Lesław Bieniasz SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 208-232, January 2021. A nonlinear reaction-diffusion partial differential equation occurring in models of transient controlled-potential experiments in electroanalytical chemistry...

By Wonjun Lee, Siting Liu, Hamidou Tembine, Wuchen Li, and Stanley Osher SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 190-207, January 2021. The coronavirus disease 2019 (COVID-19) pandemic is changing and impacting lives on a global scale. In...

By Lu Lu, Xuhui Meng, Zhiping Mao, and George Em Karniadakis SIAM Review, Volume 63, Issue 1, Page 208-228, January 2021. Deep learning has achieved remarkable success in diverse applications; however, its use in solving partial differential equations (PDEs) has...

By Nicholas A. Battista SIAM Review, Volume 63, Issue 1, Page 181-207, January 2021. While students may find spline interpolation quite digestible based on their familiarity with the continuity of a function and...

By Bengt Fornberg SIAM Review, Volume 63, Issue 1, Page 167-180, January 2021. The trapezoidal rule uses function values at equispaced nodes. It is very accurate for integrals over periodic intervals, but...

By Michelle Feng and Mason A. Porter SIAM Review, Volume 63, Issue 1, Page 67-99, January 2021. A crucial step in the analysis of persistent homology is the transformation of data into an appropriate topological object...

By Juan Kuntz, Philipp Thomas, Guy-Bart Stan, and Mauricio Barahona SIAM Review, Volume 63, Issue 1, Page 3-64, January 2021. Computing the stationary distributions of a continuous-time Markov chain (CTMC) involves solving a set of linear equations. In most...

By Nour Riman, Jonathan D. Victor, Sebastian D. Boie, and Bard Ermentrout SIAM Review, Volume 63, Issue 1, Page 100-120, January 2021. Animals use stereo sampling of odor concentration to localize sources and follow odor trails. We analyze the dynamics of...

By Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig SIAM Review, Volume 63, Issue 1, Page 123-164, January 2021. Tropical geometry has been recently used to obtain new complexity results in convex optimization and game theory. In this...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 1, Page 65-65, January 2021. We have two Research Spotlights papers in the lineup this issue. The first of these, “Persistent Homology of...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 1, Page 165-166, January 2021. This issue of SIAM Review presents three papers in the Education section. The first paper, “Improving the Accuracy of...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 1, Page 1-1, January 2021. The use of probabilistic ideas by applied mathematicians has seen a continued increase in recent decades. Probability now...

By The Editors SIAM Review, Volume 63, Issue 1, Page 121-121, January 2021. The SIGEST article in this issue is “What Tropical Geometry Tells Us about the Complexity of Linear Programming,” by...

By Volker H. Schulz SIAM Review, Volume 63, Issue 1, Page 231-245, January 2021. The section opens with a review well written by a giant in the field of numerical solution of partial...

By Nicolas Laurent-Brouty, Guillaume Costeseque, and Paola Goatin SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 173-189, January 2021. This paper details a new macroscopic traffic flow model accounting for the boundedness of traffic acceleration,...

By Idriss Mazari and Domènec Ruiz-Balet SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 153-172, January 2021. Following several recent works devoted to the analysis of spatial heterogeneity in reaction-diffusion equations, we investigate...

By Rachel M. Philip, Ian J. Hewitt, and Peter D. Howell SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 129-152, January 2021. In many industrial applications oil drops suspended in water are broken down by turbulent fluid motion,...

By Nikolai Bessonov, Gennady Bocharov, Andreas Meyerhans, Vladimir Popov, and Vitaly Volpert SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 107-128, January 2021. In this work, we develop a mathematical framework for predicting and quantifying virus diversity evolution during...

By Raphael C. Assier and I. David Abrahams SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 60-90, January 2021. In this paper, we revisit Radlow's highly original attempt at a double Wiener--Hopf solution to the...

By Christian Klingenberg, Ru-Yu Lai, and Qin Li SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 91-106, January 2021. In this paper, we investigate an inverse problem for the radiative transfer equation that is coupled...

By Guang-Hui Hu, Manmohan Vashisth, and Jiaqing Yang SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 25-46, January 2021. It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by...

By Peter V. Gordon, Uday G. Hegde, and Michael C. Hicks SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 47-59, January 2021. In this paper we derive a simple, still experimentally feasible, model for propagation of traveling fronts...

By Sean D. Lawley SIAM Journal on Applied Mathematics, Volume 81, Issue 1, Page 1-24, January 2021. The first time a searcher finds a target is called a first passage time (FPT). In...

By Mark Levi
My older son, who enjoyed collecting shiny objects as a boy, kept a glass ball on his windowsill. The ball acted as a lens and burned a quarter-sized dip into the sill. The dip ...

By Ernest Davis
Curves for the Mathematically Curious: An Anthology of the Unpredictable, Historical, Beautiful, and Romantic. By Julian Havil. Princeton University Press, Princeton, NJ, ...

Following SIAM’s recent elections, we are pleased to announce our new President-Elect, Vice President-at-Large, and Secretary, as well as Board of Trustees members and Council, as elected by the ...

The following funding opportunity was shared by Oak Ridge Institute for Science and Education (ORISE) on November 9, 2021.
Now accepting applications for:
U.S. Department of Homeland ...

Recognizing that travel disruptions due to the COVID-19 pandemic are ongoing, and in order to make SIAM conferences accessible to all those who wish to attend, SIAM is offering all upcoming ...

By Mark Levi
In the early days of quantum mechanics, physicists wondered why Planck’s constant is constant — why is the energy/frequency ratio of photons fixed? After all, the atom that emits ...

By John P. Boyd
“To turn events into ideas is the function of history.” – George Santayana
Applied mathematics has a history, but who will tell it? SIAM News periodically publishes ...

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.

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.

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 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 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.

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.

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 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.

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.