By Debora D. Medeiros, Hirofumi Notsu, and Cassio M. Oishi
SIAM Journal on Numerical Analysis, Volume 59, Issue 6, Page 2955-2988, January 2021.
In this work, new finite difference schemes are presented for dealing with the upper-convected time derivative...

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...

MA, United Kingdom

Tallahassee, FL, United States

Bilbao, , Spain

By Paul Davis Jeff Anderson builds forecast systems for the U.S. National Center for Atmospheric Research in Boulder, Co. He began his invited talk at the 2021 SIAM Conference on ...

Baltimore, MD, United States

Palisades, NY, United States

Pittsburgh, PA, United States

Harrisonburg, VA, United States

Boston, , United States

By Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, and Wing Tat Leung
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1736-1759, January 2021.
In this work, we propose a local multiscale model reduction approach for the time domain scalar wave...

By Xingyu Li
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1760-1783, January 2021.
In this paper, we study a continuously flocking Cucker--Smale model with noise, which has isotropic and polarized...

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 Paul Wolfenbarger During a minisymposium  at the 2021 SIAM Conference on Computational Science and Engineering (CSE21) , I held a question-and-answer session that was inspired by my ...

By Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, and Wing Tat Leung
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1736-1759, January 2021.
In this work, we propose a local multiscale model reduction approach for the time domain scalar wave...

By Xingyu Li
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1760-1783, January 2021.
In this paper, we study a continuously flocking Cucker--Smale model with noise, which has isotropic and polarized...

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 Tao Luo, Yang Xiang, and Jerry Zhijian Yang
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1710-1735, January 2021.
We study the convergence of the elastic deformation from an atomistic model to a continuum model based...

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 Shubin Fu, Guanglian Li, Richard Craster, and Sebastien Guenneau
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1684-1709, January 2021.
We introduce a new efficient algorithm for Helmholtz problems in perforated domains with the design of the...

By Margarita Kostré, Christof Schütte, Frank Noé, and Mauricio J. del Razo
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1659-1683, January 2021.
Open biochemical systems of interacting molecules are ubiquitous in life-related processes. However, established computational methodologies, like molecular...

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 Fukeng Huang and Jie Shen
SIAM Journal on Numerical Analysis, Volume 59, Issue 6, Page 2926-2954, January 2021.
We construct high-order semidiscrete-in-time, and fully discrete (with Fourier--Galerkin in space) schemes...

By Gang Bao, Peijun Li, and Xiaokai Yuan
SIAM Journal on Numerical Analysis, Volume 59, Issue 6, Page 2900-2925, January 2021.
Consider the elastic scattering of an incident wave by a rigid obstacle in three dimensions, which...

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 German Enciso and Jinsu Kim
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1633-1658, January 2021.
Stochastic models of chemical reaction networks are an important tool to describe and analyze noise effects in...

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 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 Jianbo Cui, Jialin Hong, and Liying Sun
SIAM Journal on Numerical Analysis, Volume 59, Issue 6, Page 2866-2899, January 2021.
In this article, we consider the stochastic Cahn--Hilliard equation driven by additive noise. We discretize the...

By Angxiu Ni
SIAM Journal on Numerical Analysis, Volume 59, Issue 6, Page 2843-2865, January 2021.
Nonintrusive shadowing algorithms efficiently compute $v$, the difference between shadowing trajectories, and then use $v$ to...

By Xinliang Liu, Eric Chung, and Lei Zhang
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1601-1632, January 2021.
Nonlinear multiscale problems are ubiquitous in materials science and biology. Complicated interactions between nonlinearities and (nonseparable) multiple...

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 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 Changqing Ye and Junzhi Cui
SIAM Journal on Numerical Analysis, Volume 59, Issue 6, Page 2823-2842, January 2021.
Convergence of Dziuk's fully discrete linearly implicit scheme which was proposed in [G. Dziuk, Math. Models...

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 Yuji Nakatsukasa and Lloyd N. Trefethen
SIAM Journal on Numerical Analysis, Volume 59, Issue 6, Page 2801-2822, January 2021.
This article is about both approximation theory and the numerical solution of partial differential equations (PDEs)....

By Markus Gahn and Maria Neuss-Radu
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1573-1600, January 2021.
We consider a nonlinear reaction-diffusion equation in a domain consisting of two bulk regions connected via small...

By Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, and Christian Merdon
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2746-2774, January 2021.
Discretization of Navier--Stokes equations using pressure-robust finite element methods is considered for the high Reynolds number...

By Weizhu Bao and Quan Zhao
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2775-2799, January 2021.
We propose a structure-preserving parametric finite element method (SP-PFEM) for discretizing the surface diffusion 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 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 Bin Dong, Zuowei Shen, and Jianbin Yang
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2722-2745, January 2021.
In most applications, functions are often given by sampled data. Approximation of functions from observed data...

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 Klaus Deckelnick and Robert Nürnberg
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2698-2721, January 2021.
We consider a finite difference approximation of mean curvature flow for axisymmetric surfaces of genus zero....

By Huan Han, Zhengping Wang, and Yimin Zhang
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1538-1572, January 2021.
In a beautiful paper, Modin, Nachman, and Rondi [Adv. Math., 346 (2019), pp. 1009--1066] introduced a hierarchical...

By Sofia Eriksson and Siyang Wang
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2669-2697, January 2021.
We consider finite difference approximations of the second derivative, exemplified in Poisson's equation, the heat equation,...

By Max Hodapp
Multiscale Modeling & Simulation, Volume 19, Issue 4, Page 1499-1537, January 2021.
The “flexible boundary condition” method, introduced by Sinclair and coworkers in the 1970s, remains among the most...

By Siting Liu, Matthew Jacobs, Wuchen Li, Levon Nurbekyan, and Stanley J. Osher
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2639-2668, January 2021.
We introduce a novel framework to model and solve first-order mean field game systems with nonlocal...

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 Yi Yu, Maksymilian Dryja, and Marcus Sarkis
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2608-2638, January 2021.
In this paper, we design and analyze two new methods based on the additive average Schwarz...

By Lars Diening, Johannes Storn, and Tabea Tscherpel
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2571-2607, January 2021.
We show stability of the $L^2$-projection onto Lagrange finite element spaces with respect to (weighted) $L^p$...

By Jianliang Qian and Chao Song
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2536-2570, January 2021.
We propose a new fast multiscale Gaussian beam method to solve the three-dimensional elastic wave equation...

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 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 Qiya Hu
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2500-2535, January 2021.
This paper is the first in a series of two articles, aiming to prove the convergence...

By Brian Fitzpatrick, Enzo De Sena, and Toon van Waterschoot
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2473-2499, January 2021.
The multipole expansion method (MEM) is a spatial discretization technique that is widely used in applications...

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 Georgios Akrivis, Minghua Chen, Fan Yu, and Zhi Zhou
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2449-2472, January 2021.
In combination with the Grenander--Szegö theorem, we observe that a relaxed positivity condition on multipliers, milder...

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 Daniel Potts and Michael Schmischke
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2393-2429, January 2021.
We propose an approximation method for high-dimensional 1-periodic functions based on the multivariate ANOVA decomposition. We...

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 Bo Gong, Jiguang Sun, and Xinming Wu
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2430-2448, January 2021.
The modified Maxwell's Stekloff eigenvalue problem arises recently from the inverse electromagnetic scattering theory for inhomogeneous...

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 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 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 Erik Burman, Guillaume Delay, and Alexandre Ern
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2368-2392, January 2021.
We design and analyze an arbitrary-order hybridized discontinuous Galerkin method to approximate the unique continuation problem...

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 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 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 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 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 Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras, and Shuaikun Wang
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2321-2345, January 2021.
We develop a new finite difference scheme for the Maxwell--Stefan diffusion system. The scheme is conservative,...

By Mohammad Al Azah and Simon N. Chandler-Wilde
SIAM Journal on Numerical Analysis, Volume 59, Issue 5, Page 2346-2367, January 2021.
In this paper we propose a method for computing the Faddeeva function $w(z) := {e}^{-z^2}{erfc}(-{i}\,z)$ via...

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 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 Timo Sprekeler and Hung V. Tran
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1453-1473, January 2021.
We study optimal convergence rates in the periodic homogenization of linear elliptic equations of the form $-A(x/\varepsilon):D^2...

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 Daniel A. Messenger and David M. Bortz
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1474-1497, January 2021.
We present a novel weak formulation and discretization for discovering governing equations from noisy measurement data. This...

By Ruo Li, Peng Song, and Lingchao Zheng
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1425-1452, January 2021.
We derive a nonlinear moment model for the radiative transfer equation in three-dimensional (3D) space, using the...

By Jean-Luc Akian and Eric Savin
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1394-1424, January 2021.
We study the propagation of sound waves in a three-dimensional, infinite ambient flow with weak random fluctuations...

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 Sarafa Iyaniwura, Tony Wong, Michael J. Ward, and Colin B. Macdonald
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1367-1393, January 2021.
We develop novel numerical methods and perturbation approaches to determine the mean first passage time (MFPT) for...

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 Grégoire Ferré and Tobias Grafke
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1310-1332, January 2021.
The computation of free energies is a common issue in statistical physics. A natural technique to compute...

By Solesne Bourguin, Siragan Gailus, and Konstantinos Spiliopoulos
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1333-1366, January 2021.
We study statistical inference for small-noise-perturbed multiscale dynamical systems where the slow motion is driven by fractional...

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 Ansgar Jüngel and Antoine Zurek
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2286-2309, January 2021.
An implicit Euler finite-volume scheme for an $n$-species population cross-diffusion system of Shigesada--Kawasaki--Teramoto-type in a bounded...

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 Zhiyan Ding, Lukas Einkemmer, and Qin Li
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2254-2285, January 2021.
Dynamical low-rank algorithms are a class of numerical methods that compute low-rank approximations of dynamical systems....

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 Haidar Mohamad and Marcel Oliver
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2310-2319, January 2021.
We present an algorithm for the efficient numerical evaluation of integrals of the form $I(\omega) =...

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 Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia, and Joachim Schöberl
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2237-2253, January 2021.
We present an equilibration-based a posteriori error estimator for Nédélec element discretizations of the magnetostatic problem....

By Joseph M. Gaone, Burt S. Tilley, and Vadim V. Yakovlev
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1285-1309, January 2021.
Electromagnetic heating is the process where a composite material absorbs applied electromagnetic radiation and converts this energy...

By Dominic Breit, Martina Hofmanová, and Sébastien Loisel
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2218-2236, January 2021.
We consider systems of stochastic evolutionary equations of p-Laplace type. We establish convergence rates for a...

By Chuchu Chen
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2197-2217, January 2021.
This paper proposes a fully discrete method called the symplectic discontinuous Galerkin (dG) full discretization...

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 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 Yuehaw Khoo, Jianfeng Lu, and Lexing Ying
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1261-1284, January 2021.
In this paper we propose an efficient method to compress a high dimensional function into a tensor...

By Birgul Koc, Samuele Rubino, Michael Schneier, John Singler, and Traian Iliescu
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2163-2196, January 2021.
In this paper, we resolve several long-standing issues dealing with optimal pointwise in time error bounds...

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 Kelly Chen, Zachary Deiman, Ryan Goh, Sally Jankovic, and Arnd Scheel
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1236-1260, January 2021.
We study stripe formation in two-dimensional systems under directional quenching in a phase-diffusion approximation including nonadiabatic boundary...

By Yue Feng and Wenfan Yi
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1212-1235, January 2021.
We establish uniform error bounds of an exponential wave integrator Fourier pseudospectral (EWI-FP) method for the long-time...

By Felix Scholz and Bert Jüttler
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2138-2162, January 2021.
The numerical integration over a planar domain that is cut by an implicitly defined boundary curve...

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 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 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 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 Josselin Garnier
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1190-1211, January 2021.
We study wave propagation in materials in which the refractive index varies in time. We compare the...

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 Jiaxin Zhou and Wangtao Lu
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2106-2137, January 2021.
This paper proposes a simple and rigorous Fourier-matching method to study transverse-magnetic-polarized electro-magnetic resonances by a...

By Bin Wang and Xiaofei Zhao
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2075-2105, January 2021.
In this work, we consider the error estimates of some splitting schemes for the charged-particle dynamics...

By Martin Halla
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2054-2074, January 2021.
We consider radial complex scaling/perfectly matched layer methods for scalar resonance problems in homogeneous exterior domains....

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 Samir Karaa
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2040-2053, January 2021.
We present general criteria ensuring the positivity of quadratic forms of convolution type generated by sequences...

By Zhongjian Wang, Jack Xin, and Zhiwen Zhang
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1167-1189, January 2021.
In this paper, we study the problem of computing the effective diffusivity for particles moving in chaotic...

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 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 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 Fabian Wagner, Jonas Latz, Iason Papaioannou, and Elisabeth Ullmann
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 1948-1975, January 2021.
The estimation of the probability of rare events is an important task in reliability and risk...

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 Eliane Bécache and Maryna Kachanovska
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 2004-2039, January 2021.
This work is dedicated to the proof of stability and convergence of the Bérenger's perfectly matched...

By Lehel Banjai, Gabriel Lord, and Jeta Molla
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 1976-2003, January 2021.
The full discretization of the semilinear stochastic wave equation is considered. The discontinuous Galerkin finite element...

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 Catalina Pesce and Andreas Muench
Multiscale Modeling & Simulation, Volume 19, Issue 3, Page 1143-1166, January 2021.
Cahn--Hilliard models are central for describing the evolution of interfaces in phase separation processes and free boundary...

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 Juan Pablo Borthagaray, Dmitriy Leykekhman, and Ricardo H. Nochetto
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 1918-1947, January 2021.
The integral fractional Laplacian of order $s \in (0,1)$ is a nonlocal operator. It is known...

By Daniel Hoff and Holger Wendland
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 1896-1917, January 2021.
We describe a new approximation method for solving a PDE-constrained optimization problem numerically. Our method is...

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 Weiwei Sun
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 1875-1895, January 2021.
The time discrete scheme of characteristics type is especially effective for convection-dominated diffusion problems. The scheme...

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 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 Dylan Abrahamsen and Bengt Fornberg
SIAM Journal on Numerical Analysis, Volume 59, Issue 4, Page 1857-1874, January 2021.
Pseudospectral (PS) methods are widely used for solving partial differential equations (PDEs) to high accuracy in...

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 Siddhartha Mishra and T. Konstantin Rusch
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1811-1834, January 2021.
We propose a supervised deep learning algorithm based on low-discrepancy sequences as the training set. By...

By Huayi Wei, Xuehai Huang, and Ao Li
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1835-1856, January 2021.
Piecewise divergence-free nonconforming virtual elements are designed for Stokes problem in any dimensions. After introducing a...

By Bérangère Delourme and Laurence Halpern
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1769-1810, January 2021.
Homographic complex best approximation has emerged in recent years as an essential tool for the design...

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 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 Roman Shvydkoy and Eitan Tadmor
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 1115-1141, January 2021.
We study the multiscale description of large-time collective behavior of agents driven by alignment....

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 Frédéric Rousset and Katharina Schratz
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1735-1768, January 2021.
We introduce a new general framework for the approximation of evolution equations at low regularity and...

By Mourad Sini, Haibing Wang, and Qingyun Yao
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 1083-1114, January 2021.
We study the time-domain acoustic scattering problem by a cluster of small holes (i.e., sound-soft obstacles). Based...

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 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 Caroline L. Wormell and Sebastian Reich
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1687-1734, January 2021.
Diffusion maps is a manifold learning algorithm widely used for dimensionality reduction. Using a sample from...

By Duan Z. Zhang
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 1066-1082, January 2021.
In particulate systems, the ensemble average accounting for effects from all particles is expressed as the expected...

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 Jay Miles Appleton and Brian T. Helenbrook
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1618-1638, January 2021.
Explicit time advancement for continuous finite elements requires the inversion of a global mass matrix. ...

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 Lise-Marie Imbert-Gerard
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1663-1686, January 2021.
Generalized plane waves (GPWs) were introduced to take advantage of Trefftz methods for problems modeled by...

By Dmitry Burov, Dimitrios Giannakis, Krithika Manohar, and Andrew Stuart
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 1011-1040, January 2021.
Data-driven prediction is becoming increasingly widespread as the volume of data available grows and as algorithmic development...

By Dietmar Gallistl, Timo Sprekeler, and Endre Süli
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 1041-1065, January 2021.
In the first part of the paper, we propose and rigorously analyze a mixed finite element method...

By Rong An, Huadong Gao, and Weiwei Sun
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1639-1662, January 2021.
The Landau--Lifshitz equation has been widely used to describe the dynamics of magnetization in a ferromagnetic...

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 Buyang Li
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1592-1617, January 2021.
Dziuk's surface finite element method (FEM) for mean curvature flow has had a significant impact on...

By Xiaobing Feng, Buyang Li, and Shu Ma
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1566-1591, January 2021.
A family of arbitrarily high-order fully discrete space-time finite element methods are proposed for the nonlinear...

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 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 Yifan Chen, Thomas Y. Hou, and Yixuan Wang
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 980-1010, January 2021.
In this paper, we introduce a multiscale framework based on adaptive edge basis functions to solve second-order...

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 Vít Dolejší, Filip Roskovec, and Miloslav Vlasák
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1486-1509, January 2021.
We deal with the numerical solution of nonlinear time-dependent convection-diffusion-reaction equations with the aid of continuous...

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 Wei Gong and Shengfeng Zhu
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1510-1541, January 2021.
Shape gradients have been widely used in numerical shape gradient descent algorithms for shape optimization. The...

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 J. M. Sanz Serna and K. C. Zygalakis
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1542-1565, January 2021.
In this manuscript we study the properties of a family of a second-order differential equations with...

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 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 René Carmona and Mathieu Laurière
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1455-1485, January 2021.
We propose two algorithms for the solution of the optimal control of ergodic McKean--Vlasov dynamics. Both...

By Yongke Wu and Yanhong Bai
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1433-1454, January 2021.
Optimal order error estimates of the energy-preserving numerical methods for solving the Hodge wave equation is...

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 Peng Xie and Yi Zhu
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 951-979, January 2021.
In this article, we study wave dynamics in the fractional nonlinear Schrödinger equation with a modulated honeycomb...

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 Kristian Bredies and Richard Huber
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1399-1432, January 2021.
This paper presents a novel mathematical framework for understanding pixel-driven approaches for the parallel beam Radon...

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 Yongwei Zhang, Chupeng Ma, and Liqun Cao
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 921-950, January 2021.
This paper presents an efficient multiscale approach for solving the time-domain Maxwell's equations with rapidly oscillating coefficients...

By Gabriela Jaramillo and Shankar C. Venkataramani
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 886-920, January 2021.
The goal of this paper is to describe the oscillatory microstructure that can emerge from minimizing sequences...

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 Yves Capdeboscq, Roland Griesmaier, and Marvin Knöller
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 846-885, January 2021.
We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin tubular scattering object in three-dimensional...

By Shuhuang Xiang
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1374-1398, January 2021.
Based on the Hilb type formula between Jacobi polynomials and Bessel functions, optimal decay rates...

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 Carsten Carstensen and Tien Tran
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1348-1373, January 2021.
The relaxation in the calculus of variation motivates the numerical analysis of a class of degenerate...

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 Jianfang Lu, Yong Liu, and Chi-Wang Shu
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1299-1324, January 2021.
In this paper, we propose a novel discontinuous Galerkin (DG) method to control the spurious oscillations...

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 Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, and Marcel Schweitzer
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1325-1347, January 2021.
This work develops novel rational Krylov methods for updating a large-scale matrix function $f(A)$ when $A$...

By Zhaonan Dong, Lorenzo Mascotto, and Oliver J. Sutton
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1273-1298, January 2021.
We introduce a residual-based a posteriori error estimator for a novel $hp$-version interior penalty discontinuous Galerkin...

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 Mark Ainsworth and Charles Parker
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1218-1244, January 2021.
We study the conforming finite element spaces $\Sigma_{0}^{h,k}(\Omega) \subset H^2_0(\Omega)$, ${V}^{h,k}_0(\Omega) \subset {H}^1_0(\Omega)$, and $Q_{0}^{h,k}(\Omega) \subset...

By Mark Ainsworth and Charles Parker
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1245-1272, January 2021.
This paper is the second part in a series on a mass conserving, high order, mixed...

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 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 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 Changqing Ye, Junzhi Cui, and Hao Dong
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 830-845, January 2021.
This paper is devoted to a study of nonlinear Robin-type boundary value problems of second-order elliptic partial...

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 Claudia Negulescu
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 802-829, January 2021.
The Lagrange-multiplier technique is a multiscale numerical scheme designed to solve evolution problems containing some stiff...

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 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 Ulrik S. Fjordholm and Adrian M. Ruf
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1167-1194, January 2021.
We present a second-order accurate numerical method for a class of nonlocal nonlinear conservation laws called...

By Dietmar Gallistl and Mira Schedensack
SIAM Journal on Numerical Analysis, Volume 59, Issue 3, Page 1195-1217, January 2021.
A shear-locking free finite element discretization of the Reissner--Mindlin plate model is introduced. The rotation is...

By Ke Chen, Qin Li, Jianfeng Lu, and Stephen J. Wright
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 775-801, January 2021.
Random sampling has been used to find low-rank structure and to build fast direct solvers for multiscale...

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 Ingeborg G. Gjerde, Kundan Kumar, and Jan M. Nordbotten
SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 1117-1139, January 2021.
In this work we consider the dual-mixed variational formulation of the Poisson equation with a line...

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 Christian Glusa and Enrique Otárola
SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 1140-1165, January 2021.
We consider the integral definition of the fractional Laplacian and analyze a linear-quadratic optimal control problem...

By Michael Neilan and Baris Otus
SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 1090-1116, January 2021.
We construct and analyze an isoparametric finite element pair for the Stokes problem in two dimensions....

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 Renata Sechi, Alexander Sikorski, and Marcus Weber
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 758-774, January 2021.
This article addresses the problem of estimating the Koopman generator of a Markov process. The...

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 Roland Maier
SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 1067-1089, January 2021.
We propose a multiscale approach for an elliptic multiscale setting with general unstructured diffusion coefficients that...

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 Lucie Baudouin, Maya de Buhan, Sylvain Ervedoza, and Axel Osses
SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 998-1039, January 2021.
We present a globally convergent numerical algorithm based on global Carleman estimates to reconstruct the speed...

By Weizhu Bao, Yongyong Cai, and Jia Yin
SIAM Journal on Numerical Analysis, Volume 59, Issue 2, Page 1040-1066, January 2021.
Superresolution of the Lie--Trotter splitting ($S_1$) and Strang splitting ($S_2$) is rigorously analyzed for the...

By Florian Schäfer, T. J. Sullivan, and Houman Owhadi
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 688-730, January 2021.
Dense kernel matrices $\Theta \in \mathbb{R}^{N \times N}$ obtained from point evaluations of a covariance function $G$...

By Elissa Eggenweiler and Iryna Rybak
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 731-757, January 2021.
Boundary conditions at the interface between the free-flow region and the adjacent porous medium is a key...

By Georg A. Gottwald and Ian Melbourne
Multiscale Modeling & Simulation, Volume 19, Issue 2, Page 665-687, January 2021.
We devise an explicit method to integrate $\alpha$-stable stochastic differential equations (SDEs) with nonglobally-Lipschitz coefficients. To mitigate...

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, 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 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, 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 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, 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 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, 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 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, 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 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...

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By Melike Sirlanci , David J. Albers , and George Hripcsak In areas of medicine with a deep body of available knowledge about relevant physiological systems, practitioners can purposely ...

By Valerio Lucarini Climate change arguably presents one of society’s greatest universal challenges and opportunities for scientific enterprise. Earth System Models (ESMs) are currently the ...

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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 Kristen A. Windoloski and Mette S. Olufsen The cardiovascular system is a structurally complex network in the human body that interacts with other bodily systems, including the immune ...

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.

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.

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.

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

Established in 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 prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.

Established in 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.

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.

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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.