This research area brings together mathematicians, engineers, and scientists interested in the application of mathematical analysis and computation to problems in materials science. Researchers interested in this area are mathematicians, engineers, and scientists interested in the mathematics of materials science from diverse venues, such as academia, industry, and the national laboratories.

By Marcello Longo, Siddhartha Mishra, T. Konstantin Rusch, and Christoph Schwab SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3938-A3966, January 2021. We present a novel algorithmic approach and an error analysis leveraging Quasi-Monte Carlo (QMC) points for...

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 Congpei An and Hao-Ning Wu SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3967-A3991, January 2021. This paper develops a fully discrete soft thresholding polynomial approximation over a general region, named Lasso...

By L. A. T. Mororó and F. P. van der Meer SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page C386-C410, January 2021. The thick level set (TLS) method has been proposed as a nonlocal damage model for the...

By Clark R. Dohrmann SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3992-A4014, January 2021. In this study, we present spectral equivalence results for high-order tensor product edge- and face-based finite...

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 Guosheng Fu SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3912-A3937, January 2021. The auxiliary space preconditioning (ASP) technique is applied to the hybridizable discontinuous Galerkin (HDG) schemes for...

By Shimin Guo, Liquan Mei, Can Li, Wenjing Yan, and Jinghuai Gao SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page B1133-B1163, January 2021. This study is devoted to constructing some implicit-explicit (IMEX) Hermite--Galerkin spectral schemes for simulating the...

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 Kailiang Wu SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page B1164-B1197, January 2021. This paper first explores Tadmor's minimum entropy principle for the special relativistic hydrodynamics (RHD) equations and...

By Marcello Longo, Siddhartha Mishra, T. Konstantin Rusch, and Christoph Schwab SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3938-A3966, January 2021. We present a novel algorithmic approach and an error analysis leveraging Quasi-Monte Carlo (QMC) points for...

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 Congpei An and Hao-Ning Wu SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3967-A3991, January 2021. This paper develops a fully discrete soft thresholding polynomial approximation over a general region, named Lasso...

By L. A. T. Mororó and F. P. van der Meer SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page C386-C410, January 2021. The thick level set (TLS) method has been proposed as a nonlocal damage model for the...

By Clark R. Dohrmann SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3992-A4014, January 2021. In this study, we present spectral equivalence results for high-order tensor product edge- and face-based finite...

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 Guosheng Fu SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3912-A3937, January 2021. The auxiliary space preconditioning (ASP) technique is applied to the hybridizable discontinuous Galerkin (HDG) schemes for...

By Shimin Guo, Liquan Mei, Can Li, Wenjing Yan, and Jinghuai Gao SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page B1133-B1163, January 2021. This study is devoted to constructing some implicit-explicit (IMEX) Hermite--Galerkin spectral schemes for simulating the...

By Kailiang Wu SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page B1164-B1197, January 2021. This paper first explores Tadmor's minimum entropy principle for the special relativistic hydrodynamics (RHD) equations and...

By Zhong-Zhi Bai and Wen-Ting Wu SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3892-A3911, January 2021. For solving large-scale inconsistent systems of linear equations by iteration methods, with the application of 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...

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 Johannes Holke, David Knapp, and Carsten Burstedde SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page C359-C385, January 2021. We discuss parallel algorithms to compute the ghost layer in computational, distributed memory, recursively adapted meshes....

By Xiu Yang, Guzel Tartakovsky, and Alexandre M. Tartakovsky SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3862-A3891, January 2021. In this work, we propose a new Gaussian process regression (GPR) method: physics information aided Kriging...

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 Lu Lu, Raphaël Pestourie, Wenjie Yao, Zhicheng Wang, Francesc Verdugo, and Steven G. Johnson SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page B1105-B1132, January 2021. Inverse design arises in a variety of areas in engineering such as acoustic, mechanics, thermal/electronic transport,...

By Hussam Al Daas, Tyrone Rees, and Jennifer Scott SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3837-A3861, January 2021. Randomized methods are becoming increasingly popular in numerical linear algebra. However, few attempts have been made...

By Alejandro Allendes, Gabriel R. Barrenechea, and Julia Novo SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3809-A3836, January 2021. This work is devoted to the finite element discretization of the incompressible Navier--Stokes equations. The starting...

By Patrick Joly and Maryna Kachanovska SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3760-A3788, January 2021. This work is dedicated to the construction and analysis of high-order transparent boundary conditions for the...

By James Bremer, Ze Chen, and Haizhao Yang SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3789-A3808, January 2021. We describe an algorithm for the application of the forward and inverse spherical harmonic transforms. ...

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 Mike A. Botchev, Leonid Knizhnerman, and Eugene E. Tyrtyshnikov SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3733-A3759, January 2021. An efficient Krylov subspace algorithm for computing actions of the $\varphi$ matrix function for large matrices...

By Vidhi Zala, Robert M. Kirby, and Akil Narayan SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3713-A3732, January 2021. Finite element simulations have been used to solve a variety of partial differential equations (PDEs) that...

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 Shuonan Wu and Zhi Zhou SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3627-A3656, January 2021. In this paper, we propose a parallel-in-time algorithm for approximately solving parabolic equations. In...

By Nan Xu and Peter Doerschuk SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3657-A3676, January 2021. Basis functions which are invariant under the operations of a rotational point group $G$ are able...

By Huoyuan Duan, Junhua Ma, and Jun Zou SIAM Journal on Scientific Computing, Volume 43, Issue 6, Page A3677-A3712, January 2021. A mixed finite element method is proposed for the Maxwell eigenproblem under the general setting. The...

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 Tom Manteuffel and Irad Yavneh SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page Si-Si, January 2021. The Sixteenth Copper Mountain Conference on Iterative Methods was scheduled to be held March 21--26, 2020,...

By Tengchao Yu, Hongqiao Wang, and Jinglai Li SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3607-A3626, January 2021. The performance of a Hamiltonian Monte Carlo (HMC) sampler depends critically on some algorithm parameters, such...

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 Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, and Jianxian Qiu SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3580-A3606, January 2021. In this paper, we present a high-order conservative semi-Lagrangian (SL) hybrid Hermite weighted essentially nonoscillatory (HWENO)...

By Hong-lin Liao, Tao Tang, and Tao Zhou SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3503-A3526, January 2021. In this work, we propose a Crank--Nicolson-type scheme with variable steps for the time fractional Allen--Cahn...

By Thorsten Hohage, Christoph Lehrenfeld, and Janosch Preuß SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3552-A3579, January 2021. We study the numerical solution of scalar time-harmonic wave equations on unbounded domains which can be...

By Xiangmin Jiao, Xuebin Wang, and Qiao Chen SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3527-A3551, January 2021. Runge--Kutta (RK) schemes, especially Gauss--Legendre and some other fully implicit RK (FIRK) schemes, are desirable for...

By Christiaan C. Stolk SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3469-A3502, January 2021. Time-harmonic solutions to the wave equation can be computed in the frequency or in the time...

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 Tyrone Rees and Michael Wathen SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S884-S907, January 2021. We introduce a new and generic approximation to Schur complements arising from inf-sup stable mixed finite...

By Giovanni Isotton, Matteo Frigo, Nicolò Spiezia, and Carlo Janna SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page C335-C357, January 2021. The numerical simulation of physical systems has become in recent years a fundamental tool to...

By Mark Ainsworth and Yeonjong Shin SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3438-A3468, January 2021. The ability of neural networks to provide “best in class” approximation across a wide range of...

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 Yoonsang Lee SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3417-A3437, January 2021. Ensemble Kalman inversion (EKI) is a derivative-free optimization method that lies between the deterministic and probabilistic...

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 A. A. Sivas, B. S. Southworth, and S. Rhebergen SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3393-A3416, January 2021. This paper investigates the efficiency, robustness, and scalability of approximate ideal restriction (AIR) algebraic multigrid as...

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 Edgar Solomonik, James Demmel, and Torsten Hoefler SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3328-A3356, January 2021. We introduce a new theoretical framework for deriving lower bounds on data movement in bilinear algorithms....

By Maxime Stauffert and Régis Duvigneau SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page B1081-B1104, January 2021. The sensitivity equation method aims at estimating the derivative of the solution of partial differential equations...

By S. Blanes, M. P. Calvo, F. Casas, and J. M. Sanz-Serna SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3357-A3371, January 2021. We construct integrators to be used in Hamiltonian (or Hybrid) Monte Carlo sampling. The new...

By Peter J. Baddoo SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3372-A3392, January 2021. We present an extension of the AAA (adaptive Antoulas--Anderson) algorithm for periodic functions, called “AAAtrig.” The...

By Dmitry Golovaty, Jose Alberto Montero, and Daniel Spirn SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3269-A3304, January 2021. An $n$-cross field is a locally defined orthogonal coordinate system invariant with respect to the hyperoctahedral...

By Lukas Einkemmer, Jingwei Hu, and Lexing Ying SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page B1057-B1080, January 2021. It has recently been demonstrated that dynamical low-rank algorithms can provide robust and efficient approximations to...

By Dianming Hou and Chuanju Xu SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3305-A3327, January 2021. In this paper, we propose and analyze a time stepping method for the time fractional Allen--Cahn...

By Mingtao Xia, Sihong Shao, and Tom Chou SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3244-A3268, January 2021. When using Laguerre and Hermite spectral methods to numerically solve PDEs in unbounded domains, the number...

By Sagi Buchatsky and Eran Treister SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S862-S883, January 2021. PDE-constrained optimization problems are often treated using the reduced formulation where the PDE constraints are eliminated....

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 Nicholas H. Nelsen and Andrew M. Stuart SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3212-A3243, January 2021. Well known to the machine learning community, the random feature model is a parametric approximation to...

By Daniele A. Di Pietro, Frank Hülsemann, Pierre Matalon, Paul Mycek, Ulrich Rüde, and Daniel Ruiz SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S839-S861, January 2021. We consider a second-order elliptic PDE discretized by the hybrid high-order method, for which globally coupled...

By Alexander Heinlein, Axel Klawonn, Martin Lanser, and Janine Weber SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S816-S838, January 2021. The hybrid ML-FETI-DP algorithm combines the advantages of adaptive coarse spaces in domain decomposition methods and...

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 Yifei Wang, Zeyu Jia, and Zaiwen Wen SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3184-A3211, January 2021. The so-called fast inertial relaxation engine is a first-order method for unconstrained smooth optimization problems. It...

By Xi-Yuan Yin, Linan Chen, and Jean-Christophe Nave SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3155-A3183, January 2021. We present a novel particle management method using the characteristic mapping framework. In the context of...

By El Houcine Bergou, Youssef Diouane, Vyacheslav Kungurtsev, and Clément W. Royer SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S743-S766, January 2021. Least squares form one of the most prominent classes of optimization problems with numerous applications in...

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 Xavier Emery, Alfredo Alegría, and Daisy Arroyo SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3114-A3134, January 2021. This paper focuses on vector random fields defined on $\mathbb{S}^d\times \mathbb{R}^k$, $d \geq 2$ and $k...

By Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Ariel Neufeld SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3135-A3154, January 2021. In this paper, we introduce a numerical method for nonlinear parabolic partial differential equations (PDEs) that...

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 Vassilis Kalantzis, Yuanzhe Xi, and Lior Horesh SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S791-S815, January 2021. This paper describes a set of rational filtering algorithms to compute a few eigenvalues (and associated...

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 Jianlin Xia SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S767-S790, January 2021. We propose an unconditionally robust and highly effective preconditioner for general dense symmetric positive definite ...

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 Ion Victor Gosea and Stefan Güttel SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3033-A3054, January 2021. A selection of algorithms for the rational approximation of matrix-valued functions are discussed, including variants of...

By Rujeko Chinomona and Daniel R. Reynolds SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3082-A3113, January 2021. This work focuses on the development of a new class of high-order accurate methods for multirate...

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 Sifan Wang, Yujun Teng, and Paris Perdikaris SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page A3055-A3081, January 2021. The widespread use of neural networks across different scientific domains often involves constraining them to satisfy...

By Xiaozhe Hu, Kaiyi Wu, and Ludmil T. Zikatanov SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S727-S742, January 2021. In this paper, we study a posteriori error estimators which aid multilevel iterative solvers for linear...

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 Kelvin Kan, Samy Wu Fung, and Lars Ruthotto SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S704-S726, January 2021. We present PNKH-B, a projected Newton--Krylov method for iteratively solving large-scale optimization problems with bound constraints....

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 Hongqiang Zhu, Haiyun Wang, and Zhen Gao SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A3009-A3031, January 2021. An accurate troubled-cell indicator (TCI) is always desired by the discontinuous Galerkin methods for solving nonlinear...

By Pasqua D'Ambra, Fabio Durastante, and Salvatore Filippone SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S679-S703, January 2021. Linear solvers for large and sparse systems are a key element of scientific applications, and their...

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 Khosro Shahbazi SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B1029-B1055, January 2021. The positivity preservation or hyperbolicity preservation of numerical schemes is essential for robust computations of compressible...

By Jolene Britton, Yat Tin Chow, Weitao Chen, and Yulong Xing SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2981-A3008, January 2021. We develop an adjoint approach for recovering the topographical function included in the source term of...

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 Chengyu Ke, Miju Ahn, Sunyoung Shin, and Yifei Lou SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S655-S678, January 2021. The paper considers supervised learning problems of labeled data with grouped input features. The groups are...

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 Alexandra Bünger, Valeria Simoncini, and Martin Stoll SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S637-S654, January 2021. PDE-constrained optimization problems arise in a broad number of applications such as hyperthermia cancer treatment and...

By Valentin Duruisseaux, Jeremy Schmitt, and Melvin Leok SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2949-A2980, January 2021. It is well known that symplectic integrators lose their near energy preservation properties when variable time-steps...

By Jörg Ostrowski and Ralf Hiptmair SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B1008-B1028, January 2021. The electro-quasistatic approximation of Maxwell equations is commonly used to model coupled resistive/capacitive phenomena at low...

By Yunhui He, Sander Rhebergen, and Hans De Sterck SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S612-S636, January 2021. In this paper we present a geometric multigrid method with Jacobi and Vanka relaxation for hybridized...

By Anyastassia Seboldt, Oyekola Oyekole, Josip Tambača, and Martina Bukač SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2923-A2948, January 2021. We consider a moving domain, fluid-porohyperelastic structure interaction problem in a dual-mixed formulation. The fluid is...

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 Harbir Antil, Patrick Dondl, and Ludwig Striet SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2897-A2922, January 2021. Fueled by many applications in random processes, imaging science, geophysics, etc., fractional Laplacians have recently received...

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 Nan Jiang and Huanhuan Yang SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2869-A2896, January 2021. Computing a flow system a number of times with different samples of flow parameters is a...

By Matteo Croci, Michael Giles, and Patrick E. Farrell SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2840-A2868, January 2021. When solving partial differential equations (PDEs) with random fields as coefficients, the efficient sampling of random...

By Fengmiao Bian and Xiaoqun Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2809-A2839, January 2021. Sparsity regularization has been widely adopted in many fields, such as signal and image processing and...

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 Huda Nassar, Georgios Kollias, Ananth Grama, and David F. Gleich SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S592-S611, January 2021. Multiple network alignment is the problem of identifying similar and related regions in a given set...

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 Yangshuai Wang, Huajie Chen, Mingjie Liao, Christoph Ortner, Hao Wang, and Lei Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2785-A2808, January 2021. Hybrid quantum/molecular mechanics models (QM/MM methods) are widely used in material and molecular simulations when MM...

By Xue-lei Lin and Michael Ng SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2766-A2784, January 2021. In [McDonald, Pestana, and Wathen, SIAM J. Sci. Comput., 40 (2018), pp. A1012--A1033], a block circulant...

By Navjot Singh, Linjian Ma, Hongru Yang, and Edgar Solomonik SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page C290-C311, January 2021. Alternating least squares is the most widely used algorithm for CANDECOMC/PARAFAC (CP) tensor decomposition. However, alternating...

By Ulrich Langer and Marco Zank SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2714-A2736, January 2021. We consider a space-time variational formulation of parabolic initial-boundary value problems in anisotropic Sobolev spaces in...

By Zhaonan Dong, Emmanuil H. Georgoulis, and Thomas Kappas SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page C312-C334, January 2021. Discontinuous Galerkin (dG) methods on meshes consisting of polygonal/polyhedral (henceforth, collectively termed as polytopic) elements have...

By Andrew T. Barker, Stephan V. Gelever, Chak S. Lee, Sarah V. Osborn, and Panayot S. Vassilevski SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2737-A2765, January 2021. We extend previously developed two-level coarsening procedures for graph Laplacian problems written in a mixed saddle...

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 E. Piersanti, J. J. Lee, T. Thompson, K.-A. Mardal, and M. E. Rognes SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B984-B1007, January 2021. The mechanical behavior of a poroelastic medium permeated by multiple interacting fluid networks can be described...

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 Wietse M. Boon, Miroslav Kuchta, Kent-Andre Mardal, and Ricardo Ruiz-Baier SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B961-B983, January 2021. We develop robust solvers for a class of perturbed saddle-point problems arising in the study of...

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 Shi Jin, Lei Li, Zhenli Xu, and Yue Zhao SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B937-B960, January 2021. We develop a random batch Ewald (RBE) method for molecular dynamics simulations of particle systems with...

By Lei-Hong Zhang, Xijun Ma, and Chungen Shen SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2685-A2713, January 2021. Data points from many recent real applications usually have a multiview structure in the sense that...

By Konrad Kollnig, Paolo Bientinesi, and Edoardo A. Di Napoli SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2660-A2684, January 2021. In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of large...

By James H. Adler, Casey Cavanaugh, Xiaozhe Hu, and Ludmil T. Zikatanov SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2638-A2659, January 2021. Maxwell's equations are a system of partial differential equations that govern the laws of electromagnetic induction....

By Lin Mu, Xiu Ye, and Shangyou Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2614-A2637, January 2021. In this paper, we propose a new stabilizer-free and pressure-robust weak Galerkin finite element method for...

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 Marcelino Anguiano, Paul Kuberry, Pavel Bochev, and Arif Masud SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S565-S591, January 2021. We present a numerical method for synchronous and concurrent solution of transient elastodynamics problem where the...

By Ruipeng Li, Björn Sjögreen, and Ulrike Meier Yang SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S540-S564, January 2021. A new class of distance-two interpolation methods for algebraic multigrid (AMG) that can be formulated in...

By Andrei Dumitrasc, Philippe Leleux, Constantin Popa, Ulrich Ruede, and Daniel Ruiz SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S516-S539, January 2021. For the solution of large sparse unsymmetric systems, Duff et al. [SIAM J. Sci. Comput., 37...

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 John Tencer and Kevin Potter SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2581-A2613, January 2021. We propose a nonlinear manifold learning technique based on deep convolutional autoencoders that is appropriate for...

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 Lulu Liu and David E. Keyes SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2526-A2554, January 2021. In many multiphysics applications, an ultimate quantity of interest can be written as a linear functional...

By Yongwei Zhang, Chupeng Ma, Li-qun Cao, and Dongyang Shi SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B907-B936, January 2021. In this paper, we consider numerical simulations of the nonlocal optical response of metallic nanostructure arrays...

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 Anne Greenbaum, Hexuan Liu, and Tyler Chen SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S496-S515, January 2021. We consider three mathematically equivalent variants of the conjugate gradient (CG) algorithm and how they perform...

By Alexandros Beskos, Dan Crisan, Ajay Jasra, Nikolas Kantas, and Hamza Ruzayqat SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2555-A2580, January 2021. We consider the problem of parameter estimation for a class of continuous-time state space models (SSMs)....

By Alexis Montoison and Dominique Orban SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2502-A2525, January 2021. We introduce iterative methods called TriCG and TriMR for solving symmetric quasi-definite systems based on the...

By David Chappell, Jonathan J. Crofts, Martin Richter, and Gregor Tanner SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B884-B906, January 2021. Ray flow methods are an efficient tool to estimate vibro-acoustic or electromagnetic energy transport in complex...

By Martin Joachim Kühn, Carola Kruse, and Ulrich Rüde SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2448-A2473, January 2021. Self-adjoint differential operators often arise from variational calculus on energy functionals. In this case, a direct...

By Mark Ainsworth and Justin Dong SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2474-A2501, January 2021. We present a new approach to using neural networks to approximate variational equations, based on the...

By Md. Masud Rana, Victoria E. Howle, Katharine Long, Ashley Meek, and William Milestone SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S475-S495, January 2021. A new preconditioner based on a block factorization into lower triangular, diagonal, and upper triangular factors...

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 Anthony P. Austin, Noel Chalmers, and Tim Warburton SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page C259-C289, January 2021. We consider several methods for generating initial guesses when iteratively solving sequences of linear systems, showing...

By David Mora and Iván Velásquez SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2425-A2447, January 2021. The transmission eigenvalue problem is a challenging model in the inverse scattering theory and has important...

By Michael Obersteiner and Hans-Joachim Bungartz SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2381-A2403, January 2021. Today, high-dimensional calculations can be found in almost all scientific disciplines. The application of machine learning...

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 Pei Fu and Gunilla Kreiss SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page A2404-A2424, January 2021. In this paper, we develop a family of high order cut discontinuous Galerkin (DG) methods...

By Arbaz Khan and Catherine E. Powell SIAM Journal on Scientific Computing, Volume 43, Issue 4, Page B855-B883, January 2021. Linear poroelasticity models have important applications in biology and geophysics. In particular, the well-known Biot consolidation...

By Nicola Demo, Marco Tezzele, and Gianluigi Rozza SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B831-B853, January 2021. In this work, we present an extension of genetic algorithm (GA) which exploits the supervised learning...

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 Shingyu Leung, Jianliang Qian, and Jiangtao Hu SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2352-A2380, January 2021. We propose an efficient PDE based approach for solving the first-arrival traveltime tomography problem in irregular...

By Xiaoli Chen, Liu Yang, Jinqiao Duan, and George Em Karniadakis SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B811-B830, January 2021. The Fokker--Planck (FP) equation governing the evolution of the probability density function (PDF) is applicable to...

By Stephen F. McCormick, Joseph Benzaken, and Rasmus Tamstorf SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S392-S419, January 2021. This paper establishes the first theoretical framework for analyzing the rounding-error effects on multigrid methods using...

By Lu Zhang, Liwei Xu, and Tao Yin SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B784-B810, January 2021. This paper is concerned with the boundary integral equation method for solving the exterior Neumann boundary...

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 Rasmus Tamstorf, Joseph Benzaken, and Stephen F. McCormick SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S420-S447, January 2021. This paper builds on the algebraic theory in the companion paper [S. F. McCormick, J. Benzaken,...

By Moody T. Chu and Matthew M. Lin SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S448-S474, January 2021. Gauging the distance between a mixed state and the convex set of separable states in a...

By John P. Ryan and Anil Damle SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2320-A2351, January 2021. This paper presents a general method for applying hierarchical matrix skeletonization factorizations to the numerical solution...

By Enrico Facca and Michele Benzi SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2295-A2319, January 2021. In this paper, we address the numerical solution of the optimal transport problem on undirected weighted...

By Jamie Fox and Giray Ökten SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2268-A2294, January 2021. We introduce a control variate Monte Carlo method to estimate $E[f(X)]$ based on a polynomial chaos...

By Yang Liu, Pieter Ghysels, Lisa Claus, and Xiaoye Sherry Li SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S367-S391, January 2021. We present a fast and approximate multifrontal solver for large-scale sparse linear systems arising from finite-difference,...

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 Sergey Dolgov, Daniel Kressner, and Christoph Strössner SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2190-A2210, January 2021. This work is concerned with approximating a trivariate function defined on a tensor-product domain via function...

By Arielle Carr, Eric de Sturler, and Serkan Gugercin SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2242-A2267, January 2021. Preconditioners are generally essential for fast convergence in the iterative solution of linear systems of equations....

By Ornela Mulita, Stefano Giani, and Luca Heltai SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2211-A2241, January 2021. We propose a new algorithm for adaptive finite element methods (AFEMs) based on smoothing iterations (S-AFEM),...

By Yat Tin Chow, Fuqun Han, and Jun Zou SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2161-A2189, January 2021. In this work, we investigate a class of elliptic inverse problems and aim to simultaneously recover...

By Min Tang, Li Wang, and Xiaojiang Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B759-B783, January 2021. We develop an asymptotic preserving scheme for the gray radiative transfer equation. Two asymptotic regimes are...

By Victor DeCaria, Ahmet Guzel, William Layton, and Yi Li SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2130-A2160, January 2021. Variable stepsize, variable order (VSVO) methods have limited impact in timestepping methods in complex applications due...

By Yi-Shu Du, Ken Hayami, Ning Zheng, Keiichi Morikuni, and Jun-Feng Yin SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S345-S366, January 2021. We propose using greedy and randomized Kaczmarz inner-iterations as preconditioners for the right-preconditioned flexible GMRES method...

By Daoru Han, Xiaoming He, David Lund, and Xu Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page C235-C257, January 2021. This paper presents a recently developed particle simulation code package PIFE-PIC, which is a novel three-dimensional...

By Victor P. DeCaria, Cory D. Hauck, and Ming Tse P. Laiu SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B733-B758, January 2021. We present and analyze a new iterative solver for implicit discretizations of a simplified Boltzmann--Poisson system....

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 Li Luo, Xiao-Chuan Cai, and David E. Keyes SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S317-S344, January 2021. We consider numerical simulation of two-phase flows in porous media using implicit methods. Because of the...

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 Francesca Boso, Dimitris Boskos, Jorge Cortés, Sonia Martínez, and Daniel M. Tartakovsky SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2102-A2129, January 2021. Ambiguity sets of probability distributions are used to hedge against uncertainty about the true probabilities of...

By Hillary R. Fairbanks, Umberto Villa, and Panayot S. Vassilevski SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S293-S316, January 2021. In this work we develop a new hierarchical multilevel approach to generate Gaussian random field realizations...

By Julius Reiss SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2079-A2101, January 2021. Mode-based model-reduction is used to reduce the degrees of freedom of high-dimensional systems, often by describing...

By Santiago Badia, Alberto F. Martín, Eric Neiva, and Francesc Verdugo SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page C203-C234, January 2021. In this work, we present an adaptive unfitted finite element scheme that combines the aggregated finite...

By J. Haubner, M. Siebenborn, and M. Ulbrich SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1997-A2018, January 2021. In this article we consider shape optimization problems as optimal control problems via the method of...

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 E. G. Birgin, A. Laurain, R. Massambone, and A. G. Santana SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2047-A2078, January 2021. We investigate the problem of covering a region in the plane with the union of $m$...

By Alexander Konschin SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B712-B732, January 2021. We consider the electromagnetic scattering of nonperiodic incident fields on locally perturbed periodic inhomogeneous media. We...

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 Florian Schäfer, Matthias Katzfuss, and Houman Owhadi SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A2019-A2046, January 2021. We propose to compute a sparse approximate inverse Cholesky factor $L$ of a dense covariance matrix...

By Wancheng Sheng, Qinglong Zhang, and Yuxi Zheng SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1975-A1996, January 2021. In this paper, we propose a direct Eulerian generalized Riemann problem (GRP) scheme for a blood...

By Kathryn P. Drake, Edward J. Fuselier, and Grady B. Wright SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1950-A1974, January 2021. Divergence-free (div-free) and curl-free vector fields are pervasive in many areas of science and engineering, from...

By Ruchi Guo and Jiahua Jiang SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B678-B711, January 2021. This work investigates the electrical impedance tomography problem when only limited boundary measurements are available, which...

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 Xiaocheng Shang SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1929-A1949, January 2021. We study numerical methods for dissipative particle dynamics (DPD), which is a system of stochastic differential...

By Xiaolong Li, Yifan Shi, Sheung Chi Phillip Yam, and Hailiang Yang SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B650-B677, January 2021. In this article, we provide the first systematic numerical study on, via the popular Fourier-cosine (COS)...

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 Jeffrey M. Hokanson and Paul G. Constantine SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1858-A1880, January 2021. We introduce the Lipschitz matrix: a generalization of the scalar Lipschitz constant for functions with many...

By Hussam Al Daas, Laura Grigori, Pierre Jolivet, and Pierre-Henri Tournier SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1907-A1928, January 2021. In this paper we present a multilevel preconditioner based on overlapping Schwarz methods for symmetric positive...

By Fukeng Huang and Jie Shen SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1832-A1857, January 2021. We propose a new method to construct high-order, linear, positivity/bound preserving and unconditionally energy stable schemes...

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 Martin J. Gander and Yongxiang Liu SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1881-A1906, January 2021. The biharmonic problem is a fourth order partial differential equation and thus requires two boundary conditions,...

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 Nick Luiken and Tristan van Leeuwen SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S269-S292, January 2021. We consider regularized least-squares problems of the form $\min_{x} \frac{1}{2}\Vert Ax - b\Vert_2^2 + \mathcal{R}(Lx)$. Recently,...

By Marco Sutti and Bart Vandereycken SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1803-A1831, January 2021. Large-scale optimization problems arising from the discretization of problems involving PDEs sometimes admit solutions that can...

By Luis Ángel Larios-Cárdenas and Frederic Gibou SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1754-A1779, January 2021. We propose a deep learning strategy to estimate the mean curvature of two-dimensional implicit interfaces in...

By Mario Annunziato and Alfio Borzì SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B623-B649, January 2021. A new method to reconstruct the structure of a cell membrane potential based on observation of...

By Firat Cakir, Andrew Christlieb, and Yan Jiang SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B598-B622, January 2021. The ideal magnetohydrodynamics equations are challenging because one needs to maintain the divergence-free condition, $\nabla \cdot...

By Jingwei Li, Xiao Li, Lili Ju, and Xinlong Feng SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1780-A1802, January 2021. The maximum bound principle (MBP) is an important property for a large class of semilinear parabolic...

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 L. Minah Yang, Alyson Fox, and Geoffrey Sanders SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1723-A1753, January 2021. Although mixed precision arithmetic has recently garnered interest for training dense neural networks, many other applications...

By Tommaso Buvoli SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1692-A1722, January 2021. In this paper we extend the polynomial time integration framework to include exponential integration for both...

By Drew P. Kouri, Denis Ridzal, and Ray Tuminaro SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S225-S248, January 2021. This paper considers preconditioners for the linear systems that arise from optimal control and inverse problems...

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 Tristan van Leeuwen and Aleksandr Y. Aravkin SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S249-S268, January 2021. Variable projection solves structured optimization problems by completely minimizing over a subset of the variables while...

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 Robert C. Kirby, Andreas Klöckner, and Ben Sepanski SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1671-A1691, January 2021. Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative...

By Tom Gustafsson, Rolf Stenberg, and Juha Videman SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1651-A1670, January 2021. We introduce Nitsche's method for the numerical approximation of the Kirchhoff--Love plate equation under general Robin-type...

By Huibin Chang, Roland Glowinski, Stefano Marchesini, Xue-Cheng Tai, Yang Wang, and Tieyong Zeng SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B570-B597, January 2021. In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery,...

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 Sergey Dolgov, Dante Kalise, and Karl K. Kunisch SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1625-A1650, January 2021. A tensor decomposition approach for the solution of high-dimensional, fully nonlinear Hamilton--Jacobi--Bellman equations arising in optimal...

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 Yong Zhang, Yu Zhao, and Zhennan Zhou SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page B539-B569, January 2021. In this paper, we consider a nonlinear and nonlocal parabolic model for multispecies ionic fluids and...

By Ioannis P. A. Papadopoulos, Patrick E. Farrell, and Thomas M. Surowiec SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1555-A1582, January 2021. Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based...

By Tong Qin, Zhen Chen, John D. Jakeman, and Dongbin Xiu SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1607-A1624, January 2021. We present a numerical framework for recovering unknown nonautonomous dynamical systems with time-dependent inputs. To circumvent...

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 José Querales, Rodolfo Rodríguez, and Pablo Venegas SIAM Journal on Scientific Computing, Volume 43, Issue 3, Page A1583-A1606, January 2021. The aim of this paper is to study the numerical approximation of the displacement formulation of...

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 James Baglama, Tom Bella, and Jennifer Picucci SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S200-S224, January 2021. We developed a hybrid restarted Lanczos method that combines thick-restarting with Ritz vectors with iteratively refined...

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 Bart S. van Lith, Per Christian Hansen, and Michiel E. Hochstenbach SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S173-S199, January 2021. We propose two new algebraic reconstruction techniques based on Kaczmarz's method that produce a regularized solution...

By Jiahua Jiang, Julianne Chung, and Eric de Sturler SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S146-S172, January 2021. Iterative hybrid projection methods have proven to be very effective for solving large linear inverse problems...

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 Abhijit Ghosh and Chittaranjan Mishra SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page C177-C202, January 2021. Based on the parallel cyclic reduction technique, a promising new parallel algorithm is designed for...

By Ivan Gonzalez, Rustum Choksi, and Jean-Christophe Nave SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1527-A1554, January 2021. Finding optimal (or low energy) centroidal Voronoi tessellations (CVTs) on a two-dimensional domain is a challenging...

By J. W. Banks, B. Brett Buckner, T. Hagstrom, and K. Juhnke SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1497-A1526, January 2021. We develop interior penalty discontinuous Galerkin difference methods for the wave equation in second-order form. The...

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 Lu Zhang, Siyang Wang, and N. Anders Petersson SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1472-A1496, January 2021. We develop a fourth order accurate finite difference method for the three dimensional elastic wave equation...

By Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, and Endre Süli SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B508-B537, January 2021. This paper proposes a new, conservative fully discrete scheme for the numerical solution of the regularized...

By Christian Glusa, Harbir Antil, Marta D'Elia, Bart van Bloemen Waanders, and Chester J. Weiss SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1362-A1388, January 2021. The purpose of this paper is to study a Helmholtz problem with a spectral fractional Laplacian,...

By Igor Tominec, Elisabeth Larsson, and Alfa Heryudono SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1441-A1471, January 2021. Localized collocation methods based on radial basis functions (RBFs) for elliptic problems appear to be nonrobust...

By John Burkardt, Yixuan Wu, and Yanzhi Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1389-A1411, January 2021. In this paper, we propose a meshfree method based on the Gaussian radial basis function...

By Vahid Keshavarzzadeh, Robert M. Kirby, and Akil Narayan SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1412-A1440, January 2021. We introduce a numerical method, multilevel designed quadrature for computing the statistical solution of partial differential...

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 Mofdi El-Amrani, Abdelouahed Ouardghi, and Mohammed Seaid SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1336-A1361, January 2021. We propose a class of adaptive enriched Galerkin-characteristics finite element methods for efficient numerical solution of...

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 Kyongmin Yeo, Dylan E. C. Grullon, Fan-Keng Sun, Duane S. Boning, and Jayant R. Kalagnanam SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1305-A1335, January 2021. We propose a recurrent neural network for a “model-free” simulation of a dynamical system with unknown...

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 Olga Gorynina, Claude Le Bris, and Frederic Legoll SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1273-A1304, January 2021. We numerically investigate and improve upon a computational approach originally introduced in [R. Cottereau, Internat. J....

By Juan Zhang, Cheng Wang, Steven M. Wise, and Zhengru Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1248-A1272, January 2021. In this paper, two finite difference numerical schemes are proposed and analyzed for the droplet liquid...

By Tenavi Nakamura-Zimmerer, Qi Gong, and Wei Kang SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1221-A1247, January 2021. Computing optimal feedback controls for nonlinear systems generally requires solving Hamilton--Jacobi--Bellman (HJB) equations, which are notoriously...

By Ani Miraçi, Jan Papež, and Martin Vohralík SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S117-S145, January 2021. We develop a multigrid solver steered by an a posteriori estimator of the algebraic error. We...

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 Zhichao Peng and Fengyan Li SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1194-A1220, January 2021. We consider a linear kinetic transport equation under a diffusive scaling that converges to a diffusion...

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 Xiaofeng Yang SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B479-B507, January 2021. The binary fluid surfactant phase-field model, coupled with two Cahn--Hilliard equations and Navier--Stokes equations, is a...

By Hongpeng Sun, Xue-Cheng Tai, and Jing Yuan SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B455-B478, January 2021. Nowadays the Potts model works as the key model in a broad spectrum of applications in...

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 Andrey A. Popov, Changhong Mou, Adrian Sandu, and Traian Iliescu SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1134-A1162, January 2021. This work develops a new multifidelity ensemble Kalman filter (MFEnKF) algorithm based on a linear control...

By Peng Chen and Omar Ghattas SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1163-A1193, January 2021. We propose and analyze a Stein variational reduced basis method (SVRB) to solve large-scale PDE-constrained Bayesian...

By Pascal Heid and Thomas P. Wihler SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1108-A1133, January 2021. In many applications of practical interest, solutions of partial differential equation models arise as critical points...

By Jiao Li and Kyle T. Mandli SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B431-B454, January 2021. The shallow water equations provide the basic modeling equations for a number of coastal flooding hazards,...

By Jehanzeb H. Chaudhry, Luke N. Olson, and Peter Sentz SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1081-A1107, January 2021. We present a reduced basis method for parametrized linear elliptic partial differential equations (PDEs) in...

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 Zhaoxing Li, Yanfang Liu, Jiguang Sun, and Liwei Xu SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1062-A1080, January 2021. A quality-Bayesian approach, combining the direct sampling method and the Bayesian inversion, is proposed to reconstruct...

By Stefano Berrone, Denise Grappein, Sandra Pieraccini, and Stefano Scialó SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B381-B404, January 2021. A new numerical scheme is proposed for flow computation in complex discrete fracture networks. The method...

By Zhiguo Yang, Li-Lian Wang, and Yang Gao SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1027-A1061, January 2021. In this paper, we design a truly exact perfect absorbing layer (PAL) for domain truncation of...

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 Andrea Bonito and Murtazo Nazarov SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B405-B430, January 2021. We propose a novel algorithm for the approximation of surface quasi-geostrophic (SQG) flows modeled by a...

By Jehanzeb H. Chaudhry, Ari E. Rappaport, and John N. Shadid SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B354-B380, January 2021. Resistive magnetohydrodynamics (MHD) is a continuum base-level model for conducting fluids (e.g., plasmas and liquid metals)...

By Byeongseon Jeong, Scott N. Kersey, and Jungho Yoon SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A953-A979, January 2021. In this study, we present a new class of quasi-interpolation schemes for the approximation of multivariate...

By Daniela di Serafino and Dominique Orban SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A1001-A1026, January 2021. We consider the iterative solution of regularized saddle-point systems. When the leading block is symmetric and...

By Urban Duh, Gregor Kosec, and Jure Slak SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A980-A1000, January 2021. Domain discretization is considered a dominant part of solution procedures for solving partial differential equations. It...

By Swapnil Das, James Demmel, Kimon Fountoulakis, Laura Grigori, Michael W. Mahoney, and Shenghao Yang SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page C154-C176, January 2021. We are interested in parallelizing the least angle regression (LARS) algorithm for fitting linear regression models...

By Alex Bespalov, Daniel Loghin, and Rawin Youngnoi SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S92-S116, January 2021. The stochastic Galerkin finite element method (SGFEM) provides an efficient alternative to traditional sampling methods for...

By Kyle Thicke, Alexander B. Watson, and Jianfeng Lu SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B323-B353, January 2021. We present a numerical method which accurately computes the discrete spectrum and associated bound states of...

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 Vaclav Hapla, Matthew G. Knepley, Michael Afanasiev, Christian Boehm, Martin van Driel, Lion Krischer, and Andreas Fichtner SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page C127-C153, January 2021. Large-scale PDE simulations using high-order finite-element methods on unstructured meshes are an indispensable tool in science...

By Dihan Dai, Yekaterina Epshteyn, and Akil Narayan SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A929-A952, January 2021. A stochastic Galerkin formulation for a stochastic system of balanced or conservation laws may fail to...

By L. B. Romijn, J. H. M. ten Thije Boonkkamp, M. J. H. Anthonissen, and W. L. IJzerman SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B298-B322, January 2021. The design of freeform optical surfaces is an inverse problem in illumination optics. Combining the laws...

By Yukun Li and Yi Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A908-A928, January 2021. This paper proposes some efficient and accurate adaptive two-grid (ATG) finite element algorithms for linear and...

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 Yang Liu, Xin Xing, Han Guo, Eric Michielssen, Pieter Ghysels, and Xiaoye Sherry Li SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A883-A907, January 2021. This paper presents an adaptive randomized algorithm for computing the butterfly factorization of an $m\times n$...

By L. Audibert, L. Chesnel, H. Haddar, and K. Napal SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B271-B297, January 2021. We consider the problem of imaging a crack network embedded in some homogeneous background from...

By Erik Burman, Matteo Cicuttin, Guillaume Delay, and Alexandre Ern SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A859-A882, January 2021. We design and analyze a Hybrid High-Order (HHO) method on unfitted meshes to approximate elliptic interface...

By José A. Carrillo, Manuel J. Castro, Serafim Kalliadasis, and Sergio P. Perez SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A828-A858, January 2021. We propose high-order well-balanced finite-volume schemes for a broad class of hydrodynamic systems with attractive-repulsive interaction...

By M. Rakhuba SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A800-A827, January 2021. The aim of this paper is to propose a robust numerical solver, which is capable of...

By Shenglong Zhou, Meijuan Shang, Lili Pan, and Mu Li SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A772-A799, January 2021. Solutions to the linear complementarity problem (LCP) are naturally sparse in many applications such as bimatrix...

By Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, and Huidong Yang SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A744-A771, January 2021. This work presents and analyzes space-time finite element methods on fully unstructured simplicial space-time meshes for...

By Ibrahim Almuslimani and Gilles Vilmart SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page A721-A743, January 2021. Explicit stabilized methods are an efficient alternative to implicit schemes for the time integration of stiff...

By Antti Hannukainen, Nuutti Hyvönen, and Lauri Perkkiö SIAM Journal on Scientific Computing, Volume 43, Issue 2, Page B243-B270, January 2021. Iron loss determination in the magnetic core of an electrical machine, such as a motor or...

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 Massimiliano Fasi and Nicholas J. Higham SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A663-A684, January 2021. A widely used form of test matrix is the randsvd matrix constructed as the product $A...

By Zhenning Cai, Xiaoyu Dong, and Yang Kuang SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A685-A719, January 2021. The complex Langevin (CL) method is a classical numerical strategy to alleviate the numerical sign problem...

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 Christian Krumnow, Max Pfeffer, and André Uschmajew SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A586-A608, January 2021. In this work, the task to find a simultaneous low rank approximation of several lowest eigenpairs...

By Matthias Kirchhart and Christian Rieger SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A609-A635, January 2021. We propose a simple tweak to a recently developed regularization scheme for particle methods. This allows...

By Haotian Gu, Jack Xin, and Zhiwen Zhang SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A636-A662, January 2021. The G-equation is a well-known model for studying front propagation in turbulent combustion. In this...

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 James H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, and Ray S. Tuminaro SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S70-S91, January 2021. The magnetohydrodynamics equations model a wide range of plasma physics applications and are characterized by a...

By Hossein Mahmoodi Darian SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page C89-C125, January 2021. In this paper we investigate the utilization of variadic templates for numerical methods and finite difference...

By Silvia Gazzola, James G. Nagy, and Malena Sabaté Landman SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S47-S69, January 2021. This paper presents two new algorithms to compute sparse solutions of large-scale linear discrete ill-posed problems....

By Wei Liu and Yongyong Cai SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B219-B242, January 2021. The normalized gradient flow, i.e., the gradient flow with discrete normalization (GFDN) introduced in [W....

By Michael P. Connolly, Nicholas J. Higham, and Theo Mary SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A566-A585, January 2021. Stochastic rounding rounds a real number to the next larger or smaller floating-point number with probabilities...

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 Iryna Kulchytska-Ruchka and Sebastian Schöps SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page C61-C88, January 2021. This paper presents a highly parallelizable parallel-in-time algorithm for efficient solution of nonlinear time-periodic problems. It...

By Xiaoliang Wan and Jiayu Zhai SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A541-A565, January 2021. In this work, we construct a minimum action method for dynamical systems with constant time delays....

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 Yuanpeng Zhu and Xuli Han SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A511-A540, January 2021. In this work, we construct a novel recursive modification framework for enhancing the polynomial reproduction property...

By Benedikt Perse, Katharina Kormann, and Eric Sonnendrücker SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B194-B218, January 2021. Numerical schemes that preserve the structure of the kinetic equations can provide stable simulation results over...

By Daniel J. Agress and Patrick Q. Guidotti SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A446-A471, January 2021. A new approach to the solution of boundary value problems within the so-called fictitious domain method...

By Kailiang Wu and Yulong Xing SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A472-A510, January 2021. This paper presents novel high-order accurate discontinuous Galerkin (DG) schemes for the compressible Euler equations under...

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 Hans De Sterck and Yunhui He SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S21-S46, January 2021. We consider nonlinear convergence acceleration methods for fixed-point iteration $x_{k+1}=q(x_k)$, including Anderson acceleration (AA), nonlinear GMRES...

By Mark Ainsworth and Shuai Jiang SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A384-A414, January 2021. A preconditioner for the mass matrix for high order finite element discretization on tetrahedra is presented...

By Peter Benner, Venera Khoromskaia, Boris Khoromskij, Cleophas Kweyu, and Matthias Stein SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A415-A445, January 2021. In this paper, we present a new regularization scheme for the linearized Poisson--Boltzmann equation (PBE) which...

By Junxiong Jia, Qian Zhao, Zongben Xu, Deyu Meng, and Yee Leung SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A355-A383, January 2021. The Bayesian approach, a useful tool for quantifying uncertainties, has been extensively employed to solve the...

By Pablo Antolin, Annalisa Buffa, Riccardo Puppi, and Xiaodong Wei SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A330-A354, January 2021. We present a novel method for isogeometric analysis (IGA) to directly work on geometries constructed by...

By Guo-Dong Zhang, Xiaoming He, and Xiaofeng Yang SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B167-B193, January 2021. We consider in this paper numerical approximations of a phase field model for two-phase ferrofluids, which...

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 Yiqi Gu and Jie Shen SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A309-A329, January 2021. We apply the fictitious domain concept with circular embedding to solve elliptic boundary value...

By Wei Bian, Xiaojun Chen, and C. T. Kelley SIAM Journal on Scientific Computing, Volume 43, Issue 5, Page S1-S20, January 2021. We prove convergence of Anderson acceleration for a class of nonsmooth fixed-point problems for which the...

By Pierre-Henri Cocquet, Martin J. Gander, and Xueshuang Xiang SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A278-A308, January 2021. All grid-based discretizations of the Helmholtz equation suffer from the so-called pollution effect, which is caused...

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 John Mackenzie, Christopher Rowlatt, and Robert Insall SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B132-B166, January 2021. Mass-conservative reaction-diffusion systems have recently been proposed as a general framework to describe intracellular pattern formation....

By Nicholas J. Higham and Srikara Pranesh SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A258-A277, January 2021. What is the fastest way to solve a linear system $Ax= b$ in arithmetic of a...

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 Denis-Gabriel Caprace, Thomas Gillis, and Philippe Chatelain SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page C31-C60, January 2021. A Fourier-based library of unbounded Poisson solvers (FLUPS) for 2D and 3D homogeneous distributed grids is...

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 Kiera van der Sande and Bengt Fornberg SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A242-A257, January 2021. Mesh-free solvers for partial differential equations perform best on scattered quasi-uniform nodes. Computational efficiency can be...

By Aditya Kashi and Sivakumaran Nadarajah SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page C1-C30, January 2021. We present a study of the effectiveness of asynchronous incomplete LU factorization preconditioners for the time-implicit...

By Adrian Sandu, Vladimir Tomov, Lenka Cervena, and Tzanio Kolev SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A221-A241, January 2021. This work develops novel time integration methods for the compressible Euler equations in the Lagrangian frame...

By Mi-Song Dupuy and Gero Friesecke SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B108-B131, January 2021. The tensor train (TT) approximation of electronic wave functions lies at the core of the...

By Jialin Liu, Wotao Yin, Wuchen Li, and Yat Tin Chow SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A193-A220, January 2021. We propose a fast algorithm for the calculation of the Wasserstein-1 distance, which is a particular...

By Virginie Ehrlacher, Laura Grigori, Damiano Lombardi, and Hao Song SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A139-A163, January 2021. In this work a numerical method is proposed to compress a tensor by constructing a piecewise...

By Lin Lin and Yu Tong SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A164-A192, January 2021. Tensor network operators, such as the matrix product operator (MPO) and the projected entangled-pair operator (PEPO),...

By Junjun Pan, Michael K. Ng, Ye Liu, Xiongjun Zhang, and Hong Yan SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B55-B81, January 2021. In this paper, we study nonnegative tensor data and propose an orthogonal nonnegative Tucker decomposition (ONTD)....

By Chenghua Duan, Wenbin Chen, Chun Liu, Xingye Yue, and Shenggao Zhou SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B82-B107, January 2021. In this work, we develop novel structure-preserving numerical schemes for a class of nonlinear Fokker--Planck equations...

By J. G. López-Salas, S. Pérez-Rodríguez, and C. Vázquez SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B30-B54, January 2021. In this work, we mainly develop a new numerical methodology to solve a PDE model recently...

By Peter Benner and Pawan Goyal SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A84-A108, January 2021. In this work, we investigate a model-order reduction scheme for polynomial systems. We begin with defining...

By Jed Brown, Yunhui He, Scott MacLachlan, Matt Menickelly, and Stefan M. Wild SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A109-A138, January 2021. Local Fourier analysis is a useful tool for predicting and analyzing the performance of...

By Chaojun Zhang, Xiaoqun Wang, and Zhijian He SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page B1-B29, January 2021. We consider integration with respect to a $d$-dimensional spherical Gaussian measure arising from computational finance. Importance...

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 Bao Wang, Difan Zou, Quanquan Gu, and Stanley J. Osher SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A26-A53, January 2021. As an important Markov chain Monte Carlo (MCMC) method, the stochastic gradient Langevin dynamics (SGLD) algorithm...

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 Mark Embree, Jennifer A. Loe, and Ronald Morgan SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A1-A25, January 2021. Polynomial preconditioning can improve the convergence of the Arnoldi method for computing eigenvalues. Such preconditioning...

By Davoud Mirzaei SIAM Journal on Scientific Computing, Volume 43, Issue 1, Page A54-A83, January 2021. In this paper, a new localized radial basis function (RBF) method based on partition of unity...

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...

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 Rencheng Dong , Mary F. Wheeler , Hang Su , and Kang Ma
The energy industry routinely employs acid fracturing—a major type of acid stimulation treatment—to improve permeability and ...

By D’Artagnan Greene and Yohannes Shiferaw
Approximately one in five human deaths occur when the periodic beating of the heart suddenly transitions into a chaotic rhythm [7]. This ...

Applications are now open for the MGB-SIAM Early Career (MSEC) Fellowship . The MSEC Fellowship recognizes the achievements of early career applied mathematicians – particularly those belonging to ...

By Lawrie Virgin
Three-dimensional (3D) printing has an element of magic about it. 3D-printed objects—which one creates with high precision and relatively little expense according to ...

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.

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 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 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.

The purpose of this activity group is to bring together mathematicians, engineers, and scientists interested in the application of analysis and computation to problems in materials science. This activity group serves as a meeting point for mathematicians, engineers, and scientists from all areas of computational and materials science, thus fostering cross-fertilization between fields, and from diverse venues such as academia, industry, and the national laboratories.

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.