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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, Ahead of Print.
In this work we develop a new hierarchical multilevel approach to generate Gaussian random field realizations in an algorithmically scalable manner...

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, Ahead of Print.
We consider regularized least-squares problems of the form $\min_{x} \frac{1}{2}\Vert Ax - b\Vert_2^2 + \mathcal{R}(Lx)$. Recently, Zheng et al. [IEEE Access,...

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, Ahead of Print.
This paper considers preconditioners for the linear systems that arise from optimal control and inverse problems involving the Helmholtz equation. ...

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, Ahead of Print.
Variable projection solves structured optimization problems by completely minimizing over a subset of the variables while iterating over the remaining variables....

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, Ahead of Print.
We developed a hybrid restarted Lanczos method that combines thick-restarting with Ritz vectors with iteratively refined Ritz vectors to compute a...

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, Ahead of Print.
We propose two new algebraic reconstruction techniques based on Kaczmarz's method that produce a regularized solution to noisy tomography problems. Tomography...

By Jiahua Jiang, Julianne Chung, and Eric de Sturler
SIAM Journal on Scientific Computing, Ahead of Print.
Iterative hybrid projection methods have proven to be very effective for solving large linear inverse problems due to their inherent regularizing...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

By Alex Bespalov, Daniel Loghin, and Rawin Youngnoi
SIAM Journal on Scientific Computing, Ahead of Print.
The stochastic Galerkin finite element method (SGFEM) provides an efficient alternative to traditional sampling methods for the numerical solution of linear...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

By James H. Adler, Thomas R. Benson, Eric C. Cyr, Patrick E. Farrell, Scott P. MacLachlan, and Ray S. Tuminaro
SIAM Journal on Scientific Computing, Ahead of Print.
The magnetohydrodynamics equations model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential...

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

By Silvia Gazzola, James G. Nagy, and Malena Sabaté Landman
SIAM Journal on Scientific Computing, Ahead of Print.
This paper presents two new algorithms to compute sparse solutions of large-scale linear discrete ill-posed problems. The proposed approach consists in...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

By Dietmar Gallistl
SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 249-264, January 2021.
Two a posteriori error estimates for a numerical approximation scheme for the inf-sup constant for the...

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

By Stefan Metzger
SIAM Journal on Numerical Analysis, Volume 59, Issue 1, Page 219-248, January 2021.
The Cahn--Hilliard equation is a widely used model that describes among others phase-separation processes of binary...

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

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

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

By Wei Bian, Xiaojun Chen, and C. T. Kelley
SIAM Journal on Scientific Computing, Ahead of Print.
We prove convergence of Anderson acceleration for a class of nonsmooth fixed-point problems for which the nonlinearities can be split into...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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By  Samar Aseeri At the 2021 SIAM Conference on Computational Science and Engineering , Daisuke Takahashi (University of Tsukuba), Franz Franchetti (Carnegie Mellon University), Samar Aseeri ...

By Richard D. James , Alessia Nota , Gunjan Pahlani , and Juan J. L. Velázquez Let \(A\) be any \(3 \times 3\) matrix, assume \(t\) is small enough that \(\det(I + tA)>0\), and consider ...

By Torsten Hoefler , Dan Alistarh , Nikoli Dryden , and Tal Ben-Nun Deep learning continues to deliver surprising new capabilities for tasks such as image and object classification, game ...

By Matthew R. Francis As of July 2020, the CalGang database contained the names and personal details of nearly 90,000 people in the state of California who are suspected of being in gangs ...

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

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

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

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

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

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

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 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.

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

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

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

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

The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.