This research area includes methods and algorithms for scientific computing, covering a wide array of applications, including software and environments for high performance computing as well as numerical analysis.

By Richard Craster, André Diatta, Sébastien Guenneau, and Harsha Hutridurga Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 633-664, January 2021. We make precise some results on the cloaking of displacement fields in linear elasticity. In the spirit...

By Lennard Kamenski SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 983-997, January 2021. A proof for the lower bound is provided for the smallest eigenvalue of finite element equations...

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 Carsten Carstensen and Rui Ma SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 955-982, January 2021. This paper establishes the convergence of adaptive mixed finite element methods for second-order linear...

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, Ahead of Print. We develop a multigrid solver steered by an a posteriori estimator of the algebraic error. We adopt the context of a...

By Paul C. Bressloff Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 612-632, January 2021. We develop an asymptotic analysis of target fluxes in the three-dimensional (3D) narrow capture problem. The latter...

By Felisia Angela Chiarello, Benedetto Piccoli, and Andrea Tosin Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 589-611, January 2021. We study the derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via...

By Radouan Boukharfane , Julien Bodart , and Matteo Parsani
Computational fluid dynamics is a complex discipline that combines applied mathematics, physics, and computer science—and often ...

Mathematics and statistics play a vital part in everyday life. Mathematical and statistical techniques are used to help solve real-world problems, focusing on topics such as disease spread, ...

By Field Van Zee , Robert van de Geijn , Maggie Myers , Devangi Parikh , and Devin Matthews
The Basic Linear Algebra Subprograms (BLAS) have profoundly impacted scientific software ...

By Xiaobing Feng and Thomas Lewis SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 886-924, January 2021. This paper presents a new narrow-stencil finite difference method for approximating viscosity solutions of Hamilton--Jacobi--Bellman equations....

By Herbert Egger and Bogdan Radu SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 864-885, January 2021. We consider the numerical approximation of Maxwell's equations in the time domain by a second-order $H({curl})$...

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 Alexandre L. Madureira and Marcus Sarkis SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 829-863, January 2021. We consider a finite element method for elliptic equations with heterogeneous and possibly high-contrast coefficients based...

By Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, and Fengyan Li SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 925-954, January 2021. In our recent work [Z. Peng et al., J. Comput. Phys., 415 (2020), 109485], a family...

By Richard Craster, André Diatta, Sébastien Guenneau, and Harsha Hutridurga Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 633-664, January 2021. We make precise some results on the cloaking of displacement fields in linear elasticity. In the spirit...

By Lennard Kamenski SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 983-997, January 2021. A proof for the lower bound is provided for the smallest eigenvalue of finite element equations...

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 Carsten Carstensen and Rui Ma SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 955-982, January 2021. This paper establishes the convergence of adaptive mixed finite element methods for second-order linear...

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, Ahead of Print. We develop a multigrid solver steered by an a posteriori estimator of the algebraic error. We adopt the context of a...

By Paul C. Bressloff Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 612-632, January 2021. We develop an asymptotic analysis of target fluxes in the three-dimensional (3D) narrow capture problem. The latter...

By Felisia Angela Chiarello, Benedetto Piccoli, and Andrea Tosin Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 589-611, January 2021. We study the derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via...

By Xiaobing Feng and Thomas Lewis SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 886-924, January 2021. This paper presents a new narrow-stencil finite difference method for approximating viscosity solutions of Hamilton--Jacobi--Bellman equations....

By Herbert Egger and Bogdan Radu SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 864-885, January 2021. We consider the numerical approximation of Maxwell's equations in the time domain by a second-order $H({curl})$...

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 Alexandre L. Madureira and Marcus Sarkis SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 829-863, January 2021. We consider a finite element method for elliptic equations with heterogeneous and possibly high-contrast coefficients based...

By Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, and Fengyan Li SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 925-954, January 2021. In our recent work [Z. Peng et al., J. Comput. Phys., 415 (2020), 109485], a family...

By Laurent Gosse Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 568-587, January 2021. The Fokker--Planck approximation for an elementary linear, two-dimensional kinetic model endowed with a mass-preserving integral collision process...

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 Cornelis J. van Duijn and Andro Mikelic Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 550-567, January 2021. We consider Mandel's problem from poroelasticity, which describes the behavior of a water saturated porous sample...

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 Weiqi Chu and Xiantao Li Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 533-549, January 2021. We present a first-principle based approach that leads from a many-particle description to a nonlinear, stochastic constitutive...

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 Clemens Heitzinger and José A. Morales E. Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 506-532, January 2021. We homogenize the Boltzmann--Poisson system where the background medium is given by a periodic permittivity and a...

By Arnold Reusken and Benjamin Stamm SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 769-796, January 2021. We study the Schwarz overlapping domain decomposition method applied to the Poisson problem on a special...

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 Ruchi Guo SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 797-828, January 2021. Immersed finite element (IFE) methods are a group of long-existing numerical methods for solving interface problems...

By Gang Chen, Peter B. Monk, and Yangwen Zhang SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 720-745, January 2021. We prove quasi-optimal $L^\infty$ norm error estimates (up to logarithmic factors) for the solution of Poisson's...

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 Carsten Carstensen and Neela Nataraj SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 696-719, January 2021. The adaptive nonconforming Morley finite element method approximates a regular solution to the von Kármán equations...

By Susanne Röhl, Marcus Weber, and Konstantin Fackeldey Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 460-477, January 2021. The aim of this paper is to investigate the rebinding effect, a phenomenon describing a “short-time memory”...

By Shi Jin, Lei Li, and Jian-Guo Liu SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 746-768, January 2021. We consider in this work the convergence of the random batch method proposed in our previous...

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 Jose A. Carrillo, Li Wang, Wuzhe Xu, and Ming Yan Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 478-505, January 2021. We design a variational asymptotic preserving scheme for the Vlasov--Poisson--Fokker--Planck system with the high field scaling, which...

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, Ahead of Print. The stochastic Galerkin finite element method (SGFEM) provides an efficient alternative to traditional sampling methods for the numerical solution of linear...

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 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 Michael Merritt, Alen Alexanderian, and Pierre A. Gremaud Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 440-459, January 2021. Sensitivity analysis is routinely performed on simplified surrogate models as the cost of such analysis on the...

By Julian Fischer, Dietmar Gallistl, and Daniel Peterseim SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 660-674, January 2021. This paper provides an a priori error analysis of a localized orthogonal decomposition method for...

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 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 Shao-bo Lin, Yu Guang Wang, and Ding-Xuan Zhou SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 634-659, January 2021. Problems in astrophysics, space weather research, and geophysics usually need to analyze big noisy data on...

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 Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, and Huidong Yang SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 675-695, January 2021. In this paper, we analyze space-time finite element methods for the numerical solution of distributed parabolic...

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 Jingwei Hu, Kunlun Qi, and Tong Yang SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 613-633, January 2021. Numerical approximation of the Boltzmann equation is a challenging problem due to its high-dimensional, nonlocal, and...

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 Vincent Perrier and Enrique Gutiérrez Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 401-439, January 2021. In this article, we show how to derive a multiphase model of Baer and Nunziato type with...

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 Elyes Ahmed, Alessio Fumagalli, Ana Budiša, Eirik Keilegavlen, Jan M. Nordbotten, and Florin A. Radu SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 583-612, January 2021. In this work, we consider compressible single-phase flow problems in a porous medium containing a fracture....

By Robert Altmann and Barbara Verfürth Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 374-400, January 2021. In this paper, we construct and analyze a multiscale (finite element) method for parabolic problems with heterogeneous...

By Miroslav Kuchta, Federica Laurino, Kent-Andre Mardal, and Paolo Zunino SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 558-582, January 2021. Coupled partial differential equations (PDEs) defined on domains with different dimensionality are usually called mixed-dimensional PDEs....

By Zhihan Li, Yuwei Fan, and Lexing Ying Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 344-373, January 2021. In scientific machine learning, regression networks have been recently applied to approximate solution maps (e.g., the potential-ground...

By Philip L. Lederer SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 503-524, January 2021. We introduce a new discretization for the stream function formulation of the incompressible Stokes equations in...

By Côme Huré, Huyên Pham, Achref Bachouch, and Nicolas Langrené SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 525-557, January 2021. This paper develops algorithms for high-dimensional stochastic control problems based on deep learning and dynamic...

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 Youngjoon Hong and David Nicholls SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 456-476, January 2021. Boundary perturbation methods have received considerable attention in recent years due to their ability to simulate...

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 Maya Briani, Lucia Caramellino, and Giulia Terenzi SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 477-502, January 2021. We study the rate of weak convergence of Markov chains to diffusion processes under quite...

By Rachael T. Keller and Qiang Du SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 429-455, January 2021. Linear multistep methods (LMMs) are popular time discretization techniques for the numerical solution of differential equations....

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 Nan Jiang, Ying Li, and Huanhuan Yang SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 401-428, January 2021. We propose and analyze an efficient, unconditionally stable, second order convergent, artificial compressibility Crank--Nicolson leap-frog (CNLFAC)...

By Stefan Metzger and Peter Knabner Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 320-343, January 2021. It is well known that the generalized Darcy law describing multiphase flow in porous media has some...

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, Ahead of Print. The magnetohydrodynamics equations model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential...

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, Ahead of Print. This paper presents two new algorithms to compute sparse solutions of large-scale linear discrete ill-posed problems. The proposed approach consists in...

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 Davin Lunz Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 294-319, January 2021. Discrete-state continuous-time Markov processes are an important class of models employed broadly across the sciences. When the...

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 Pengwen Chen, Chung-Kuan Cheng, and Xinyuan Wang SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 370-400, January 2021. We study a stability preserved Arnoldi algorithm for matrix exponential in the time domain simulation of...

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 Matteo Zancanaro, Francesco Ballarin, Simona Perotto, and Gianluigi Rozza Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 267-293, January 2021. In this work we focus on two different methods to deal with parametrized partial differential equations in...

By Nada Cvetković, Tim Conrad, and Han Cheng Lie Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 242-266, January 2021. Transition path theory (TPT) for diffusion processes is a framework for analyzing the transitions of multiscale ergodic...

By Julia Novo and Samuele Rubino SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 334-369, January 2021. Proper orthogonal decomposition (POD) stabilized methods for the Navier--Stokes equations are considered and analyzed. We consider...

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 Yuji Nakatsukasa and Alex Townsend SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 314-333, January 2021. An important observation in compressed sensing is that the $\ell_0$ minimizer of an underdetermined linear system...

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 Gianluca Ceruti, Christian Lubich, and Hanna Walach SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 289-313, January 2021. Dynamical low-rank approximation by tree tensor networks is studied for the data-sparse approximation of large time-dependent...

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 Hans De Sterck and Yunhui He SIAM Journal on Scientific Computing, Ahead of Print. We consider nonlinear convergence acceleration methods for fixed-point iteration $x_{k+1}=q(x_k)$, including Anderson acceleration (AA), nonlinear GMRES (NGMRES), and Nesterov-type acceleration (corresponding...

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 Georgios Akrivis, Buyang Li, and Jilu Wang SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 265-288, January 2021. An implicit energy-decaying modified Crank--Nicolson time-stepping method is constructed for the viscous rotating shallow water equation...

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 Jacob Roth, David A. Barajas-Solano, Panos Stinis, Jonathan Weare, and Mihai Anitescu Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 208-241, January 2021. In this work, cascading transmission line failures are studied through a dynamical model of the power system...

By Dietmar Gallistl SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 249-264, January 2021. Two a posteriori error estimates for a numerical approximation scheme for the inf-sup constant for 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 Stefan Metzger SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 219-248, January 2021. The Cahn--Hilliard equation is a widely used model that describes among others phase-separation processes of binary...

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 Nicolas Vauchelet and Shugo Yasuda Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 184-207, January 2021. We investigate the numerical discretization of a two-stream kinetic system with an internal state; such a system...

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, Ahead of Print. We prove convergence of Anderson acceleration for a class of nonsmooth fixed-point problems for which the nonlinearities can be split into...

By Claire E. Plunkett and Sean D. Lawley Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 148-183, January 2021. Bimolecular binding rate constants are often used to describe the association of large molecules, such as proteins....

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 Dane Taylor, Mason A. Porter, and Peter J. Mucha Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 113-147, January 2021. Characterizing the importances (i.e., centralities) of nodes in social, biological, and technological networks is a core topic...

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 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 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 Jianliang Qian, Jian Song, Wangtao Lu, and Robert Burridge Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 46-86, January 2021. Starting from Hadamard's method, we develop Babich's ansatz for the frequency-domain point-source elastic wave equations in an...

By Emmanuil H. Georgoulis SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 173-194, January 2021. This work is concerned with the development of a family of Galerkin finite element methods for...

By Martin J. Gander, Julian Hennicker, and Roland Masson SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 195-218, January 2021. This paper deals with the derivation and analysis of reduced order elliptic PDE models on fractured...

By Yunjiao Lu, Pierre Hodara, Charles Kervrann, and Alain Trubuil Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 87-112, January 2021. Investigation of dynamic processes in cell biology very often relies on the observation in two dimensions of...

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 Vincent Heningburg and Cory D. Hauck Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 1-24, January 2021. We propose a hybrid spatial discretization for the radiative transport equation that combines a second-order discontinuous...

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 Peijun Li and Xu Wang Multiscale Modeling & Simulation, Volume 19, Issue 1, Page 25-45, January 2021. This paper is concerned with an inverse random source problem for the three-dimensional time-harmonic Maxwell equations. The...

By Yu Leng, Xiaochuan Tian, Nathaniel Trask, and John T. Foster SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 88-118, January 2021. Reproducing kernel (RK) approximations are meshfree methods that construct shape functions from sets of scattered data....

By Bangti Jin and Zhi Zhou SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 119-142, January 2021. In this work, we present a novel error analysis for recovering a spatially dependent diffusion coefficient...

By Youngsoo Ha, Chang Ho Kim, Hyoseon Yang, and Jungho Yoon SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 143-172, January 2021. The aim of this study is to develop a novel WENO scheme that improves the performance...

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 Chuchu Chen, Jialing Hong, Diancong Jin, and Liying Sun SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 32-59, January 2021. It is well known that symplectic methods have been rigorously shown to be superior to...

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 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 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 Lina Zhao, Eric T. Chung, Eun-Jae Park, and Guanyu Zhou SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 1-31, January 2021. In this paper we develop a staggered discontinuous Galerkin method for the Stokes and Darcy--Forchheimer problems...

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 Julian Fischer and Daniel Matthes SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 60-87, January 2021. Various degenerate diffusion equations exhibit a waiting time phenomenon: depending on the “flatness” of the compactly...

By Radouan Boukharfane , Julien Bodart , and Matteo Parsani
Computational fluid dynamics is a complex discipline that combines applied mathematics, physics, and computer science—and often ...

Mathematics and statistics play a vital part in everyday life. Mathematical and statistical techniques are used to help solve real-world problems, focusing on topics such as disease spread, ...

By Field Van Zee , Robert van de Geijn , Maggie Myers , Devangi Parikh , and Devin Matthews
The Basic Linear Algebra Subprograms (BLAS) have profoundly impacted scientific software ...

By Jillian Kunze
Researchers can gain fundamental insights into the microscopic mechanisms of different materials by modeling them at multiple scales. Multiscale materials modeling has a ...

By Jillian Kunze
Recent global collaborations have spurred exciting development in computational and theoretical astrophysics. A lot of exciting work along these avenues was presented at the ...

By Jillian Kunze
As different research areas impose new workloads on supercomputers, the field of computational science and engineering is changing. The integration of simulation, data, and ...

By Jillian Kunze
Though solar flares occur on the surface of the Sun, they can have a major impact on Earth. Flares can cause radio blackouts just eight minutes after they occur, as well as ...

Established in 2015, the prize is awarded to the author or authors of the most outstanding paper in the field of parallel scientific and engineering computing published in English in a peer-reviewed journal.

Established in 2009, the prize is awarded to a senior researcher for broad and distinguished contributions to the field of algorithms research and development for parallel scientific and engineering computing.

Established in 2009, this prize is awarded to an individual in their early career for contributions in the field of algorithms research and development for parallel scientific and engineering computing.

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.

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.

This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.

The prize recognizes innovative software in scientific computing by researchers in the earlier stages of their career. Starting in 2019, SIAM will award the prize every four years at the SIAM Conference on Computational Science and Engineering.

Established in 1979 in honor of James H. Wilkinson, the prize is awarded to an individual in their early career for recent contributions to numerical analysis and scientific computing.

Established in 2018, the prize is awarded to the author or authors of the best paper on the development and use of mathematical and computational tools and methods for solving problems in science, engineering, technology, and society.

Established in 2016, the prize is awarded to a post-PhD early career researcher for recent research contributions in the field of computational science and engineering.

SIAM awards the prize with the Association for Computing Machinery (ACM) for outstanding contributions to the development and use of mathematical and computational tools and methods for the solution of science and engineering problems.

This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.

Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.

The prize was established in 1995, and named in honor of Germund Dahlquist for his early contributions to the theory of numerical analysis as applied to differential equations. It is awarded for original contributions to fields associated with his work.

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 honors Peter Henrici, a Swiss numerical analyst and teacher at the Eidgenössische Technische Hochschule-Zürich (ETH Zurich) for 25 years. The prize is awarded by SIAM and ETH Zurich for contributions to applied analysis and numerical analysis and/or for exposition appropriate for applied mathematics and scientific computing.

Established in 2020, the prize is awarded every two years to an early career researcher for recent contributions in the field of applied and computational discrete algorithms.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to two of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.

The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.

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 activity group fosters collaboration and interaction among applied mathematicians, computer scientists, domain scientists and engineers in those areas of research related to the theory, development, and use of computational technologies for the solution of important problems in science and engineering. The activity group promotes computational science and engineering as an academic discipline and promotes simulation as a mode of scientific discovery on the same level as theory and experiment.

This activity group provides a forum for computational mathematicians, computer scientists, computer architects, and computational scientists to exchange ideas on mathematical algorithms and computer architecture needed for high-performance computer systems. It promotes the exchange of ideas by focusing on the interplay of analytical methods, numerical analysis, and efficient computation.

SIAM Journal on Numerical Analysis (SINUM) contains research articles on the latest development and analysis of numerical methods. The journal includes results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.

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 Multiscale Modeling and Simulation (MMS) is focused on nurturing the growth and development of systematic modeling and simulation approaches for multiscale problems. MMS is an interdisciplinary journal that is centered on the fundamental modeling and computational principles underlying various multiscale methods. The journal bridges the growing gap in communication between mathematics, chemistry, physics, engineering, computer science, environmental science, and more.

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.