HELSINKI 03, NA, United States

TAIPEI, NA, Taiwan

HSINCHU, NA, Taiwan

HSINCHU, NA, Taiwan

HSINCHU, NA, Taiwan

Nanjing, NA, China

NOIDA, NA, India

PITTSBURGH 02, PA, United States

SAN JOSE, CA, United States

Greenville, NC, United States

Cambridge, , United States

Eden Prairie, MN, United States

Richardson, TX, United States

Wilsonville, OR, United States

Wilsonville, OR, United States

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

By Santiago Badia, Alberto F. Martín, Eric Neiva, and Francesc Verdugo
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page C436-C468, January 2020.
In this work we formally derive and prove the correctness of the algorithms and data structures...

By Georgios Akrivis and Emmanouil Katsoprinakis
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3475-3503, January 2020.
For implicit-explicit multistep schemes, using a suitable form of Dahlquist's test equation, we introduce an analogue...

By Sabrina Guastavino and Federico Benvenuto
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3504-3529, January 2020.
In this paper we study the relation between convergence rates of spectral regularization methods under Hölder-type...

By Ting Sun, Jilu Wang, and Chunxiong Zheng
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3530-3557, January 2020.
An artificial boundary method is developed for solving the one-dimensional advection diffusion equation in the real...

By Jeffrey M. Hokanson and Caleb C. Magruder
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A4017-A4045, January 2020.
In many applications throughout science and engineering, model reduction plays an important role replacing expensive large-scale...

By Xiaoying Dai, Qiao Wang, and Aihui Zhou
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1621-1663, January 2020.
In this paper, we propose and analyze a gradient flow based model for electronic structure calculations. First,...

By Ashok Das, Jitendra Kumar, Maksym Dosta, and Stefan Heinrich
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1570-B1598, January 2020.
The study of collision-induced nonlinear breakage phenomenon is mostly unexplored but is important in the area...

By Tobin Isaac
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A4046-A4062, January 2020.
A rule for constructing interpolation nodes for (n)th degree polynomials on the simplex is presented. These...

By Erin Carson, Nicholas J. Higham, and Srikara Pranesh
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A4063-A4083, January 2020.
The standard iterative refinement procedure for improving an approximate solution to the least squares problem $\min_x\|b...

By Vassilis Kalantzis
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page C410-C435, January 2020.
This paper proposes a parallel domain decomposition Rayleigh--Ritz projection scheme to compute a selected number of...

By Nicolas Loizou and Peter Richtárik
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3979-A4016, January 2020.
In this paper we present a convergence rate analysis of inexact variants of several randomized iterative...

By Mohammad Alhawwary and Zhijian Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3825-A3858, January 2020.
Fourier analysis has been shown to provide valuable insight into the dispersion and dissipation characteristics of...

By Chun Liu and Yiwei Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1541-B1569, January 2020.
In this paper, we propose a variational Lagrangian scheme for a modified phase-field model, which can...

By Dexuan Xie and Benzhuo Lu
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1490-B1516, January 2020.
A system of Poisson--Nernst--Planck equations (PNP) is an important dielectric continuum model for simulating ion transport...

By Buyang Li, Jiang Yang, and Zhi Zhou
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3957-A3978, January 2020.
A new class of high-order maximum principle preserving numerical methods is proposed for solving parabolic equations,...

By Daniela Calvetti, Anna Cosmo, Simona Perotto, and Erkki Somersalo
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3878-A3906, January 2020.
The problem of estimating numerically a distributed parameter from indirect measurements arises in many applications, and...

By Wei Su, Lianhua Zhu, and Lei Wu
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1517-B1540, January 2020.
Recently the general synthetic iteration scheme (GSIS) was proposed for the Boltzmann equation [W. Su et...

By Bao-Shan Wang, Wai Sun Don, Naveen K. Garg, and Alexander Kurganov
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3932-A3956, January 2020.
A new adaptive diffusion central numerical flux within the framework of fifth-order characteristicwise alternative WENO-Z finite-difference...

By Christian Glusa, Erik G. Boman, Edmond Chow, Sivasankaran Rajamanickam, and Daniel B. Szyld
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page C384-C409, January 2020.
Parallel implementations of linear iterative solvers generally alternate between phases of data exchange and phases of...

By Kaibo Hu, Qian Zhang, and Zhimin Zhang
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3859-A3877, January 2020.
We construct smooth finite element de Rham complexes in two space dimensions. This leads to three...

By Bazyli Klockiewicz and Eric Darve
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3907-A3931, January 2020.
When solving linear systems arising from PDE discretizations, iterative methods (such as conjugate gradient (CG), GMRES,...

By Yermek Kapushev, Ivan Oseledets, and Evgeny Burnaev
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3812-A3824, January 2020.
In this paper, we consider the tensor completion problem representing the solution in the tensor train...

By Sergio P. Amat, Juan Ruiz, Chi-Wang Shu, and Dionisio F. Yán͂ez
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3448-3474, January 2020.
In this article a modification of the algorithm for data discretized in the point values introduced...

By Paul Manns and Christian Kirches
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3427-3447, January 2020.
Partial outer convexification has been used to derive relaxations of mixed-integer optimal control problems (MIOCPs) that...

By Na Ou, Guang Lin, and Lijian Jiang
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1595-1620, January 2020.
This work presents a stochastic multiscale model reduction approach to solve PDEs with random coefficients. An ensemble-based...

By Assyr Abdulle, Giacomo Garegnani, and Andrea Zanoni
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1565-1594, January 2020.
We present a novel algorithm based on the ensemble Kalman filter to solve inverse problems involving multiscale...

By Simon Etter, Daniel Massatt, Mitchell Luskin, and Christoph Ortner
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1525-1564, January 2020.
This paper presents a unified approach to the modeling and computation of the Kubo conductivity of incommensurate...

By Faycal Chaouqui, Martin J. Gander, and Kévin Santugini-Repiquet
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3785-A3811, January 2020.
We present a new coarse space correction for the iterative Neumann--Neumann method. We describe the method...

By William Throwe and Saul Teukolsky
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3730-A3760, January 2020.
We present a family of multistep integrators based on the Adams--Bashforth methods. These schemes can be...

By Christian Engwer, Sandra May, Andreas Nüßing, and Florian Streitbürger
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3677-A3703, January 2020.
We present new stabilization terms for solving the linear transport equation on a cut cell mesh...

By Yuehaw Khoo, Lin Lin, Michael Lindsey, and Lexing Ying
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1462-B1489, January 2020.
We consider the strictly correlated electron (SCE) limit of the fermionic quantum many-body problem in the...

By Daniela Calvetti, Monica Pragliola, and Erkki Somersalo
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3761-A3784, January 2020.
The recovery of sparse generative models from few noisy measurements is an important and challenging problem....

By Daniel Drzisga, Ulrich Rüde, and Barbara Wohlmuth
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1429-B1461, January 2020.
Matrix-free finite element implementations for large applications provide an attractive alternative to standard sparse matrix data...

By Kailiang Wu, Tong Qin, and Dongbin Xiu
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3704-A3729, January 2020.
We present a numerical approach for approximating unknown Hamiltonian systems using observational data. A distinct feature...

By Li Luo, Xiao-Chuan Cai, Zhengzheng Yan, Lei Xu, and David E. Keyes
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1404-B1428, January 2020.
We develop a multilayer nonlinear elimination preconditioned inexact Newton method for a nonlinear algebraic system of...

By Ignacio Muga and Kristoffer G. van der Zee
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3406-3426, January 2020.
This work presents a comprehensive discretization theory for abstract linear operator equations in Banach spaces. The...

By Hendrik Ranocha and David I. Ketcheson
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3382-3405, January 2020.
Many important initial value problems have the property that energy is nonincreasing in time. Energy stable...

By Albert Cohen, Wolfgang Dahmen, Ronald DeVore, Jalal Fadili, Olga Mula, and James Nichols
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3355-3381, January 2020.
Reduced model spaces, such as reduced bases and polynomial chaos, are linear spaces $V_n$ of finite...

By Martin Hanek, Jakub Šístek, and Pavel Burda
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page C359-C383, January 2020.
We present an approach to the numerical solution of steady Navier--Stokes equations. Approximation by the finite...

By Shun Zhang
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3638-A3676, January 2020.
The a posteriori error estimate and greedy algorithms play central roles in the reduced basis method...

By Kathryn G. Link, Matthew G. Sorrells, Nicholas A. Danes, Keith B. Neeves, Karin Leiderman, and Aaron L. Fogelson
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1489-1524, January 2020.
We present the first mathematical model of flow-mediated primary hemostasis in an extravascular injury which can track...

By Emmanuel Agullo, Siegfried Cools, Emrullah Fatih Yetkin, Luc Giraud, Nick Schenkels, and Wim Vanroose
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page C335-C358, January 2020.
The conjugate gradient (CG) method is the most widely used iterative scheme for the solution of...

By Sören Bartels
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3332-3354, January 2020.
Using dimensionally reduced models for the numerical simulation of thin objects is highly attractive as this...

By Weifeng Qiu and Shun Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3286-3308, January 2020.
This paper studies adaptive first-order system least-squares finite element methods (LSFEMs) for second-order elliptic partial differential...

By Ricardo Durán, Lucia Gastaldi, and Ariel Lombardi
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3309-3331, January 2020.
In this paper we analyze the finite element approximation of the Stokes equations with nonsmooth Dirichlet...

By Kai Wang and Zhi Zhou
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3226-3250, January 2020.
The aim of this paper is to develop and analyze high-order time stepping schemes for approximately...

By Sarah Locke and John Singler
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3251-3285, January 2020.
In our previous work [J. R. Singler, SIAM J. Numer. Anal., 52 (2014), pp. 852--876], we...

By Simon Telen, Marc Van Barel, and Jan Verschelde
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3610-A3637, January 2020.
We propose a new algorithm for numerical path tracking in polynomial homotopy continuation. The algorithm is...

By E. Carlini, A. Festa, and N. Forcadel
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3165-3196, January 2020.
We present a semi-Lagrangian scheme for the approximation of a class of Hamilton--Jacobi--Bellman (HJB) equations on...

By Anqi Fu, Junzi Zhang, and Stephen Boyd
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3560-A3583, January 2020.
We consider the problem of nonsmooth convex optimization with linear equality constraints, where the objective function...

By Kai Jiang, Wei Si, Chang Chen, and Chenglong Bao
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1350-B1377, January 2020.
Finding the stationary states of a free energy functional is an important problem in phase field...

By Patrick Chang, Etienne Pienaar, and Tim Gebbie
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1378-B1403, January 2020.
We implement and test kernel averaging nonuniform fast Fourier transform (NUFFT) methods to enhance the performance...

By Ian C. T. May, Ronald D. Haynes, and Steven J. Ruuth
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3584-A3609, January 2020.
The discretization of surface intrinsic elliptic partial differential equations (PDEs) poses interesting challenges not seen in...

By Adi Ditkowski, Sigal Gottlieb, and Zachary J. Grant
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3197-3225, January 2020.
High order methods are often desired for the evolution of ordinary differential equations, in particular those...

By Michael Feischl and Daniel Peterseim
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3144-3164, January 2020.
We show that the expected solution operator of prototypical linear elliptic PDEs with random coefficients is...

By P. E. Farrell and P. A. Gazca-Orozco
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page B1329-B1349, January 2020.
We propose an augmented Lagrangian preconditioner for a three-field stress-velocity-pressure discretization of stationary non-Newtonian incompressible flow...

By David F. Anderson and Chaojie Yuan
SIAM Journal on Numerical Analysis, Volume 58, Issue 6, Page 3125-3143, January 2020.
Parametric sensitivity analysis is a critical component in the study of mathematical models of physical systems....

By Alfredo Buttari, Søren Hauberg, and Costy Kodsi
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page C313-C334, January 2020.
In this work, we deal with the $QR$ factorization of block-tridiagonal matrices, where the blocks are...

By Kui Du, Wu-Tao Si, and Xiao-Hui Sun
SIAM Journal on Scientific Computing, Volume 42, Issue 6, Page A3541-A3559, January 2020.
Randomized iterative algorithms have recently been proposed to solve large-scale linear systems. In this paper, we...

By Qiya Hu and Rongrong Song
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 3091-3123, January 2020.
In this paper we are concerned with numerical methods for Helmholtz equations with large wave numbers....

By James M. Scott and Tadele Mengesha
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1462-1488, January 2020.
In this paper we study the asymptotic behavior of solutions to systems of strongly coupled integral equations...

By Jeffrey M. Hokanson
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3447-A3461, January 2020.
In the context of linear time-invariant systems, the McMillan degree prescribes the smallest possible dimension of...

By Martin J. Gander and Shu-Lin Wu
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2981-3009, January 2020.
We present a new parareal algorithm based on a diagonalization technique proposed recently. The algorithm uses...

By Matthew Norman and Jeffrey Larkin
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1302-B1327, January 2020.
Atmospheric weather and climate models must perform simulations very quickly to be useful. Therefore, modelers have...

By Alexander E. Labovsky
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 3068-3090, January 2020.
We propose a new family of models for fluid flows at high Reynolds numbers, large eddy...

By Alessia Andò and Dimitri Breda
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 3010-3039, January 2020.
We analyze the convergence of piecewise collocation methods for computing periodic solutions of general retarded functional...

By Junlong Lyu, Zhongjian Wang, Jack Xin, and Zhiwen Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 3040-3067, January 2020.
In this paper, we develop efficient stochastic structure-preserving schemes to compute the effective diffusivity for particles...

By Terry S. Haut, Ben S. Southworth, Peter G. Maginot, and Vladimir Z. Tomov
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1271-B1301, January 2020.
This paper derives and analyzes new diffusion synthetic acceleration (DSA) preconditioners for the $S_N$ transport equation...

By Sergey Petropavlovsky, Semyon V. Tsynkov, and Eli Turkel
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3462-A3488, January 2020.
We propose a boundary method for the numerical simulation of time-dependent waves in three-dimensional (3D) exterior...

By Benjamin Peherstorfer
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3489-A3515, January 2020.
This work introduces a method for learning low-dimensional models from data of high-dimensional black-box dynamical systems....

By Nick Alger, Peng Chen, and Omar Ghattas
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3516-A3539, January 2020.
We present a method for converting tensors into the tensor train format based on actions of...

By Ilona Ambartsumyan, Wajih Boukaram, Tan Bui-Thanh, Omar Ghattas, David Keyes, Georg Stadler, George Turkiyyah, and Stefano Zampini
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3397-A3426, January 2020.
Hessian operators arising in inverse problems governed by partial differential equations (PDEs) play a critical role...

By Ana Budiša, Wietse M. Boon, and Xiaozhe Hu
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3367-A3396, January 2020.
This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first...

By Nicholas J. Higham and Theo Mary
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3427-A3446, January 2020.
Standard backward error analyses for numerical linear algebra algorithms provide worst-case bounds that can significantly overestimate...

By Wei Cai, Xiaoguang Li, and Lizuo Liu
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3285-A3312, January 2020.
In this paper, we propose a phase shift deep neural network (PhaseDNN), which provides a uniform...

By Tara Abrishami, Nestor Guillen, Parker Rule, Zachary Schutzman, Justin Solomon, Thomas Weighill, and Si Wu
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3340-A3366, January 2020.
We define a distance metric between partitions of a graph using machinery from optimal transport. ...

By R. Brunet, V. Dolean, and M. J. Gander
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3313-A3339, January 2020.
We study for the first time Schwarz domain decomposition methods for the solution of the Navier...

By Zlatko Drmač, Igor Mezić, and Ryan Mohr
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3250-A3284, January 2020.
This paper proposes a new computational method for solving the structured least squares problem that arises...

By Markus Bachmayr, Ivan G. Graham, Van Kien Nguyen, and Robert Scheichl
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2953-2980, January 2020.
The periodization of a stationary Gaussian random field on a sufficiently large torus comprising the spatial...

By Dimitar K. Dimitrov and Lourenço L. Peixoto
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3233-A3249, January 2020.
We explore the computational issues concerning a new algorithm for the classical least-squares approximation of $N$...

By Joel Dahne and Bruno Salvy
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3210-A3232, January 2020.
Recently, there has been interest in high precision approximations of the first eigenvalue of the Laplace--Beltrami...

By Hayden Schaeffer, Giang Tran, Rachel Ward, and Linan Zhang
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1435-1461, January 2020.
Learning governing equations allows for deeper understanding of the structure and dynamics of data. We present a...

By Gang Bao, Yiwen Lin, and Xiang Xu
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2934-2952, January 2020.
This paper develops an efficient numerical method for the inverse scattering problem of a time-harmonic plane...

By Ani Miraçi, Jan Papež, and Martin Vohralík
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2856-2884, January 2020.
In this work, we consider conforming finite element discretizations of arbitrary polynomial degree ${p \ge...

By Philip L. Lederer and Sander Rhebergen
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2915-2933, January 2020.
The embedded discontinuous Galerkin (EDG) finite element method for the Stokes problem results in a pointwise...

By Yuan Xu, Chi-Wang Shu, and Qiang Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2885-2914, January 2020.
In this paper we consider the Runge--Kutta discontinuous Galerkin (RKDG) method to solve linear constant-coefficient hyperbolic...

By Yuji Nakatsukasa and Lloyd N. Trefethen
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3157-A3179, January 2020.
Rational minimax approximation of real functions on real intervals is an established topic, but when it...

By Martin J. Gander and Tommaso Vanzan
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3180-A3209, January 2020.
We define a new two-level optimized Schwarz method (OSM), and we provide a convergence analysis both...

By Douglas N. Arnold and Shawn W. Walker
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2829-2855, January 2020.
We study the finite element approximation of the Kirchhoff plate equation on domains with curved boundaries...

By Jin Zhao, Zhimin Zhang, and Wen-An Yong
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1250-B1270, January 2020.
In this paper, we propose a vector-type bounce-back boundary scheme for the lattice Boltzmann method ...

By Jingrun Chen, Dingjiong Ma, and Zhiwen Zhang
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1409-1434, January 2020.
The semiclassical Schrödinger equation with multiscale and random potentials often appears when studying electron dynamics in heterogeneous...

By Zhichao Peng, Qi Tang, and Xian-Zhu Tang
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1227-B1249, January 2020.
In this work, we propose and develop an arbitrary-order adaptive discontinuous Petrov--Galerkin (DPG) method for the...

By Delyan Z. Kalchev and Panayot Vassilevski
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3136-A3156, January 2020.
This paper presents and studies an approach for constructing auxiliary space preconditioners for finite element problems...

By Min Zhang, Weizhang Huang, and Jianxian Qiu
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3109-A3135, January 2020.
Solution interpolation between deforming meshes is an important component for several applications in scientific computing, including...

By Jizu Huang, Chao Yang, and Ying Wei
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page C294-C312, January 2020.
In this paper, we study numerical methods for solving the coupled Allen--Cahn/Cahn--Hilliard system associated with a...

By Tyler Chen and Erin Carson
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3084-A3108, January 2020.
The standard implementation of the conjugate gradient algorithm suffers from communication bottlenecks on parallel architectures, due...

By Jan Nordström and Thomas M. Hagstrom
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2818-2828, January 2020.
Both the energy method and the Laplace transform method are frequently used for determining the number...

By Alexander Zaitzeff, Selim Esedoḡlu, and Krishna Garikipati
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2799-2817, January 2020.
We introduce a class of unconditionally energy-stable, high-order-accurate schemes for gradient flows in a very general...

By Will Pazner
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3055-A3083, January 2020.
In this paper, we design preconditioners for the matrix-free solution of high-order continuous and discontinuous Galerkin...

By Eduardo Abreu, Ciro Díaz, Juan Galvis, and John Pérez
Multiscale Modeling & Simulation, Volume 18, Issue 4, Page 1375-1408, January 2020.
We present and discuss a novel approach to deal with conservation properties for the simulation of nonlinear...

By Zhicheng Hu and Zhenning Cai
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1193-B1226, January 2020.
We introduce a numerical solver for the spatially inhomogeneous Boltzmann equation using the Burnett spectral method....

By Yunchang Seol and Ming-Chih Lai
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3030-A3054, January 2020.
In this paper, we present a novel numerical method that redistributes unevenly given points on an...

By Andrea Bonito, Alan Demlow, and Martin Licht
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2764-2798, January 2020.
The Stokes equation posed on surfaces is important in some physical models, but its numerical solution...

By A. Buffa, R. Puppi, and R. Vázquez
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2711-2735, January 2020.
Trimming is a common operation in computer aided design and, in its simplest formulation, consists in...

By Buyang Li, Yuki Ueda, and Guanyu Zhou
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2736-2763, January 2020.
A new time discretization method for strongly nonlinear parabolic systems is constructed by combining the fully...

By Rachael T. Keller, Jeremy L. Marzuola, Braxton Osting, and Michael I. Weinstein
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1371-1373, January 2020.
We correct the statement and proof of Corollary 4.2 in Keller et al. [Multiscale Model. Simul., 16...

By Ke Chen, Qin Li, Jianfeng Lu, and Stephen J. Wright
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2974-A3005, January 2020.
We describe a numerical framework that uses random sampling to efficiently capture low-rank local solution spaces...

By Vidhi Zala, Mike Kirby, and Akil Narayan
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A3006-A3029, January 2020.
Approximations of functions with finite data often do not respect certain “structural” properties of the functions....

By Juntao Huang and Yingda Cheng
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2943-A2973, January 2020.
In this paper, we develop an adaptive multiresolution discontinuous Galerkin (DG) scheme for scalar hyperbolic conservation...

By Boxi Xu, Jin Cheng, Shingyu Leung, and Jianliang Qian
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2910-A2942, January 2020.
We develop efficient algorithms for computing the multidimensional fractional operator $( -\Delta_{x})^{\frac{\alpha}{2}}$ in the form of...

By Sonam Lama, John Zweck, and Matthew Goeckner
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2889-A2909, January 2020.
The stochastic weighted particle method (SWPM) is a Monte Carlo technique developed by Rjasanow and Wagner...

By Clément Cancès and Benoît Gaudeul
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2684-2710, January 2020.
We study a two-point flux approximation finite volume scheme for a cross-diffusion system. The scheme is...

By Konstantinos Chrysafinos, Emmanuil H. Georgoulis, and Dimitra Plaka
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2662-2683, January 2020.
This work is concerned with the proof of a posteriori error estimates for fully discrete Galerkin...

By Chunmei Wang and Junping Wang
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2632-2661, January 2020.
This paper presents a primal-dual weak Galerkin finite element method for a class of second order...

By Sølve Eidnes and Lu Li
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2865-A2888, January 2020.
We present linearly implicit methods that preserve discrete approximations to local and global energy conservation laws...

By Michael V. Klibanov, Thuy T. Le, and Loc H. Nguyen
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1173-B1192, January 2020.
We propose a new numerical method to solve the linearized problem of the travel time tomography...

By Benjamin Peherstorfer
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2803-A2836, January 2020.
This work presents a model reduction approach for problems with coherent structures that propagate over time,...

By Irene Kyza and Stephen Metcalfe
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2609-2631, January 2020.
This work is concerned with the development of an adaptive space-time numerical method, based on a...

By Benjamin Peherstorfer, Zlatko Drmač, and Serkan Gugercin
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2837-A2864, January 2020.
This work investigates the stability of (discrete) empirical interpolation for nonlinear model reduction and state field...

By Sanja Singer, Edoardo Di Napoli, Vedran Novaković, and Gayatri Čaklović
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page C265-C293, January 2020.
In this paper we propose an accurate, highly parallel algorithm for the generalized eigendecomposition of a...

By Doru Thom Popovici, Martin D. Schatz, Franz Franchetti, and Tze Meng Low
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page C245-C264, January 2020.
Multidimensional discrete Fourier transforms (DFTs) are typically decomposed into multiple one-dimensional (1D) transforms. Hence, parallel implementations...

By Sihong Shao and Yunfeng Xiong
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2589-2608, January 2020.
We analyze the stochastic solutions to the Wigner equation, which explain the nonlocal oscillatory integral operator...

By Martin J. Gander, Felix Kwok, and Julien Salomon
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2773-A2802, January 2020.
The time parallel solution of optimality systems arising in PDE constrained optimization could be achieved by...

By Xiu Ye and Shangyou Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2572-2588, January 2020.
A new stabilizer free weak Galerkin (WG) method is introduced and analyzed for the biharmonic equation....

By Ivan G. Graham, Euan A. Spence, and Jun Zou
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2515-2543, January 2020.
We consider one-level additive Schwarz preconditioners for a family of Helmholtz problems ...

By Clément Cancès, Claire Chainais-Hillairet, Maxime Herda, and Stella Krell
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2544-2571, January 2020.
In this contribution we analyze the large time behavior of a family of nonlinear finite volume...

By Yue Wu and Nick Polydorides
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2731-A2749, January 2020.
Inspired by recent developments in multilevel Monte Carlo (MLMC) methods and randomized sketching for linear algebra...

By Caroline Geiersbach and Winnifried Wollner
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2750-A2772, January 2020.
Models incorporating uncertain inputs, such as random forces or material parameters, have been of increasing interest...

By Xin Liu
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1136-B1172, January 2020.
A new well-balanced asymptotic preserving scheme for two-dimensional low Froude number shallow water flows over irregular...

By Field G. Van Zee
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page C221-C244, January 2020.
Almost all efforts to optimize high-performance matrix-matrix multiplication have been focused on the case where matrices...

By Alyson Fox, James Diffenderfer, Jeffrey Hittinger, Geoffrey Sanders, and Peter Lindstrom
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2701-A2730, January 2020.
Currently, the dominating constraint in many high performance computing applications is data capacity and bandwidth, in...

By Fei Xu, Hehu Xie, and Ning Zhang
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2655-A2677, January 2020.
A type of parallel augmented subspace scheme for eigenvalue problems is proposed by using coarse space...

By Xiangcheng Zheng and Hong Wang
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2492-2514, January 2020.
Variable-order space-time fractional diffusion equations, in which the variation of the fractional orders determined by the...

By Pitágoras P. de Carvalho and Enrique Fernández-Cara
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2678-A2700, January 2020.
This paper deals with a strategy to solve numerically control problems of the Stackelberg--Nash kind for...

By Ceren Gürkan, Simon Sticko, and André Massing
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2620-A2654, January 2020.
We develop novel stabilized cut discontinuous Galerkin methods for advection-reaction problems. The domain of interest is...

By Fande Kong, Yaqi Wang, Derek R. Gaston, Cody J. Permann, Andrew E. Slaughter, Alexander D. Lindsay, Mark D. DeHart, and Richard C. Martineau
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page C193-C220, January 2020.
The multigroup neutron transport equation is crucial for studying the motion of neutrons and their interaction...

By Xiaoli Li and Jie Shen
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2465-2491, January 2020.
An efficient numerical scheme based on the scalar auxiliary variable (SAV) and marker and cell ...

By Ralf Zimmermann
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2593-A2619, January 2020.
The main contribution of this paper is twofold: On the one hand, a general framework for...

By Federico Pichi, Annalisa Quaini, and Gianluigi Rozza
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page B1115-B1135, January 2020.
We propose a computationally efficient framework to treat nonlinear partial differential equations having bifurcating solutions as...

By S. N. Gomes, G. A. Pavliotis, and U. Vaes
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1343-1370, January 2020.
In this paper we consider systems of weakly interacting particles driven by colored noise in a bistable...

By Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, and Huifang Yuan
SIAM Journal on Numerical Analysis, Volume 58, Issue 5, Page 2435-2464, January 2020.
In this paper, we propose a fast spectral-Galerkin method for solving PDEs involving an integral...

By Paul Escapil-Inchauspé and Carlos Jerez-Hanckes
SIAM Journal on Scientific Computing, Volume 42, Issue 5, Page A2561-A2592, January 2020.
We consider the numerical solution of time-harmonic acoustic scattering by obstacles with uncertain geometries for Dirichlet,...

By Dohyun Kim, Lina Zhao, and Eun-Jae Park
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2537-A2560, January 2020.
In this paper, we introduce staggered discontinuous Galerkin methods for the stationary Stokes flow on polygonal...

By Fukeng Huang, Jie Shen, and Zhiguo Yang
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2514-A2536, January 2020.
We present several essential improvements to the powerful scalar auxiliary variable (SAV) approach. Firstly, by...

By Alexander Heinlein and Martin Lanser
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2461-A2488, January 2020.
Nonlinear domain decomposition (DD) methods, such as ASPIN (additive Schwarz preconditioned inexact Newton), RASPEN (restricted...

By Qing Cheng and Jie Shen
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2489-A2513, January 2020.
We develop several efficient numerical schemes which preserve exactly the global constraints for constrained gradient flows....

By Zachary Morrow and Miroslav Stoyanov
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2436-A2460, January 2020.
We present a method for dimensionally adaptive sparse trigonometric interpolation of multidimensional periodic functions belonging to...

By Julian Valentin, Daniel Hübner, Michael Stingl, and Dirk Pflüger
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B1092-B1114, January 2020.
Structural optimization searches for the optimal shape and topology of components such that specific physical quantities...

By Giacomo Albi, Giacomo Dimarco, and Lorenzo Pareschi
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2402-A2435, January 2020.
We consider the development of high-order space and time numerical methods based on implicit-explicit multistep time...

By Constantin Carle, Marlis Hochbruck, and Andreas Sturm
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2404-2433, January 2020.
This paper is dedicated to the improvement of the efficiency of the leapfrog method for linear...

By Christian Meyer and Michael Sievers
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2376-2403, January 2020.
This paper is concerned with a priori error estimates for the local incremental minimization scheme, which...

By Varun Shankar, Grady B. Wright, and Akil Narayan
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2371-A2401, January 2020.
We present a new hyperviscosity formulation for stabilizing radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion-reaction...

By Jie Yang, Weidong Zhao, and Tao Zhou
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2351-2375, January 2020.
In this work, we propose a general discretization framework for numerical solution of forward backward stochastic...

By Nicolas Boullé and Alex Townsend
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page C169-C191, January 2020.
A collection of algorithms in object-oriented MATLAB is described for numerically computing with smooth functions defined...

By Andrea Beck, Jakob Dürrwächter, Thomas Kuhn, Fabian Meyer, Claus-Dieter Munz, and Christian Rohde
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B1067-B1091, January 2020.
We propose a novel $hp$-multilevel Monte Carlo method for the quantification of uncertainties in the compressible...

By Buyang Li
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2315-2333, January 2020.
Convergence of Dziuk's fully discrete linearly implicit parametric finite element method for curve shortening flow on...

By Kevin W. Aiton and Tobin A. Driscoll
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2360-A2370, January 2020.
The additive Schwarz method is usually presented as a preconditioner for a PDE linearization based on...

By Erik Burman, Stefan Frei, and Matthew W. Scroggs
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2334-2350, January 2020.
We derive and analyze a boundary element formulation for boundary conditions involving inequalities. In particular, we...

By Davide Pradovera
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2265-2293, January 2020.
We present a technique for the approximation of a class of Hilbert space--valued maps which arise...

By Hong-lin Liao, Tao Tang, and Tao Zhou
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2294-2314, January 2020.
In this work, we investigate the two-step backward differentiation formula (BDF2) with nonuniform grids for the...

By Baiying Dong, Xiufang Feng, and Zhilin Li
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B1041-B1066, January 2020.
Anisotropic elliptic interface problems are important but hard to solve either analytically or numerically. There is...

By Kiera Kean and Michael Schneier
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2235-2264, January 2020.
For incompressible flow models, the pressure term serves as a Lagrange multiplier to ensure that the...

By Daniil Bochkov and Frederic Gibou
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2344-A2359, January 2020.
We present a PDE-based approach for the multidimensional extrapolation of smooth scalar quantities across interfaces with...

By Ariful Azad, Aydin Buluç, Xiaoye S. Li, Xinliang Wang, and Johannes Langguth
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page C143-C168, January 2020.
We design and implement an efficient parallel algorithm for finding a perfect matching in a weighted...

By Xia Ji and Xiaodong Liu
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2325-A2343, January 2020.
The inverse acoustic scattering of point objects using multifrequency sparse measurements is studied. The objects may...

By Jean-Pierre Fouque and Ruimeng Hu
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1318-1342, January 2020.
Empirical studies indicate the presence of multiscales in the volatility of underlying assets: A fast-scale on the...

By Thomas Roy, Tom B. Jönsthövel, Christopher Lemon, and Andrew J. Wathen
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B1014-B1040, January 2020.
For both isothermal and thermal petroleum reservoir simulation, the constrained pressure residual (CPR) method is the...

By Habib Ammari, Bryn Davies, and Sanghyeon Yu
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1299-1317, January 2020.
In this paper, we study the behavior of the coupled subwavelength resonant modes when two high-contrast acoustic...

By Natalia Kopteva
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2212-2234, January 2020.
A semilinear initial-boundary-value problem with a Caputo time derivative of fractional order $\alpha\in(0,1)$ is considered, solutions...

By Tonghua Tian, Yongyong Cai, Xinming Wu, and Zaiwen Wen
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B983-B1013, January 2020.
The computation of the ground states of spin-$F$ Bose--Einstein condensates (BECs) can be formulated as an...

By Tomáš Gergelits, Bjørn Fredrik Nielsen, and Zdeněk Strakoš
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2193-2211, January 2020.
We analyze the spectrum of the operator $\Delta^{-1} [\nabla \cdot (K\nabla u)]$, where $\Delta$ denotes the...

By Ernesto Cáceres, Johnny Guzmán, and Maxim Olshanskii
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2165-2192, January 2020.
The paper addresses stability and finite element analysis of the stationary two-phase Stokes problem with a...

By Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, Yifan Wang, and Haibiao Zheng
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B951-B982, January 2020.
The purpose of this article is to propose and analyze a new coupled multiphysics model and...

By Gregor Robinson and Ian Grooms
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2281-A2299, January 2020.
A blurring algorithm with linear time complexity can reduce the small-scale content of data observed at...

By Franz Chouly, Alexandre Ern, and Nicolas Pignet
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2300-A2324, January 2020.
We devise and analyze a hybrid high-order (HHO) method to discretize unilateral and bilateral contact problems...

By Hannes Vandecasteele, Przemysław Zieliński, and Giovanni Samaey
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1272-1298, January 2020.
We discuss through multiple numerical examples the accuracy and efficiency of a micro-macro acceleration method for stiff...

By Sijing Li, Zhiwen Zhang, and Hongkai Zhao
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1242-1271, January 2020.
We propose a data-driven approach to solve multiscale elliptic PDEs with random coefficients based on the intrinsic...

By Wenwu Gao, Xingping Sun, Zongmin Wu, and Xuan Zhou
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2262-A2280, January 2020.
We propose and study a new multivariate stochastic scattered data quasi-interpolation scheme that is reminiscent...

By Kailiang Wu and Chi-Wang Shu
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2230-A2261, January 2020.
This paper presents entropy symmetrization and high-order accurate entropy stable schemes for the relativistic magnetohydrodynamic (RMHD)...

By Hui Ji, Zuowei Shen, and Yufei Zhao
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1210-1241, January 2020.
Graph-structured signal enables rich description of data defined in the domain with irregular structure, which has...

By Shusheng Chen, Boxi Lin, Yansu Li, and Chao Yan
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B921-B950, January 2020.
The approximate Riemann solver of Harten--Lax--van Leer (HLL) and its variant HLLC (HLL with Contact restoration)...

By Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu, and Hui Yu
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2206-A2229, January 2020.
We develop a new moving-water equilibria preserving numerical scheme for the Saint-Venant system. The new scheme...

By Jan Glaubitz
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2144-2164, January 2020.
Numerical integration is encountered in all fields of numerical analysis and the engineering sciences. By now,...

By Jens M. Melenk, Stefan A. Sauter, and Céline Torres
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2119-2143, January 2020.
We present a stability and convergence theory for the lossy Helmholtz equation and its Galerkin discretization....

By Hugo Leclerc, Quentin Mérigot, Filippo Santambrogio, and Federico Stra
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2093-2118, January 2020.
We study a model of crowd motion following a gradient vector field, with possibly additional interaction...

By Lina Zhao and Eun-Jae Park
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2158-A2181, January 2020.
We develop a new numerical method, namely, a locking-free staggered cell-centered discontinuous Galerkin method for linear...

By Gerhard Kirsten and Valeria Simoncini
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2182-A2205, January 2020.
We consider the numerical solution of large-scale symmetric differential matrix Riccati equations. Under certain hypotheses on...

By Léo Lebrat, Frédéric de Gournay, and Jonas Kahn
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2088-A2107, January 2020.
This paper deals with the 3/4-discrete 2-Wasserstein optimal transport between two measures, where one is supported...

By Dario A. Bini, Stefano Massei, Beatrice Meini, and Leonardo Robol
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2108-A2133, January 2020.
The treatment of two-dimensional random walks in the quarter plane leads to Markov processes which involve...

By Eric Cancès, Virginie Ehrlacher, Frédéric Legoll, Benjamin Stamm, and Shuyang Xiang
Multiscale Modeling & Simulation, Volume 18, Issue 3, Page 1179-1209, January 2020.
This article is the first part of a two-fold study, the objective of which is the theoretical...

By J. M. Sanz Serna and K. C. Zygalakis
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2079-2092, January 2020.
We consider the application of Runge--Kutta (RK) methods to gradient systems $(d/dt)x = -\nabla V(x)$, where,...

By Xinyu He, Kristofer G. Reyes, and Warren B. Powell
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2134-A2157, January 2020.
We consider the problem of optimizing an unknown function over a multidimensional continuous domain, where function...

By F. Wagner, J. Latz, I. Papaioannou, and E. Ullmann
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2062-A2087, January 2020.
The estimation of the probability of rare events is an important task in reliability and risk...

By Luca Desiderio and Silvia Falletta
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B894-B920, January 2020.
In this paper we consider wave propagation problems in two-dimensional unbounded domains, including dissipative effects, reformulated...

By Fredrik Hellman, Tim Keil, and Axel Målqvist
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2014-A2036, January 2020.
In this paper we study elliptic partial differential equations with rapidly varying diffusion coefficient that can...

By Wenwu Gao, Gregory E. Fasshauer, Xingping Sun, and Xuan Zhou
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2059-2078, January 2020.
Probabilistic numerics aims to study numerical algorithms from a stochastic perspective. This field has recently evolved...

By Oliver R. A. Dunbar, Matthew M. Dunlop, Charles M. Elliott, Viet Ha Hoang, and Andrew M. Stuart
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A1984-A2013, January 2020.
A central theme in classical algorithms for the reconstruction of discontinuous functions from observational data is...

By G. Welper
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2037-A2061, January 2020.
In the last few years, several methods have been developed to deal with jump singularities in...

By Ondrej Maxian and Charles S. Peskin
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B847-B868, January 2020.
The immersed boundary (IB) method is a numerical and mathematical formulation for solving fluid-structure interaction problems....

By Zheng Sun and Cory D. Hauck
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B869-B893, January 2020.
The discrete ordinates discontinuous Galerkin ($S_N$-DG) method is a well-established and practical approach for solving the...

By Daniel Appelö, Fortino Garcia, and Olof Runborg
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A1950-A1983, January 2020.
A new iterative method, the WaveHoltz iteration, for solution of the Helmholtz equation is presented....

By Marta D'Elia, Xiaochuan Tian, and Yue Yu
SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A1935-A1949, January 2020.
Nonlocal models provide exceptional simulation fidelity for a broad spectrum of scientific and engineering applications. However,...

By Samuele Rubino
SIAM Journal on Numerical Analysis, Volume 58, Issue 4, Page 2019-2058, January 2020.
In this paper, we propose a new stabilized projection-based proper orthogonal decomposition reduced order model (POD-ROM)...

By Guozhi Dong and Hailong Guo
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1885-A1912, January 2020.
This paper investigates gradient recovery schemes for data defined on discretized manifolds. The proposed method, parametric...

By Guillaume Bertoli and Gilles Vilmart
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1913-A1934, January 2020.
The Strang splitting method, formally of order two, can suffer from order reduction when applied to...

By Alejandro Allendes, Enrique Otárola, and Abner J. Salgado
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1860-A1884, January 2020.
In two dimensions, we propose and analyze an a posteriori error estimator for finite element approximations...

By Timon S. Gutleb and Sheehan Olver
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1993-2018, January 2020.
We introduce and analyze a sparse spectral method for the solution of Volterra integral equations using...

By Rémi Abgrall and Davide Torlo
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B816-B845, January 2020.
This work introduces an extension of the residual distribution (RD) framework to stiff relaxation problems. The...

By Ron Estrin, Michael P. Friedlander, Dominique Orban, and Michael A. Saunders
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1809-A1835, January 2020.
We develop a general equality-constrained nonlinear optimization algorithm based on a smooth penalty function proposed by...

By Ron Estrin, Michael P. Friedlander, Dominique Orban, and Michael A. Saunders
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1836-A1859, January 2020.
We build upon R. Estrin et al., [SIAM J. Sci. Comput., 42 (2020), pp. A1809--A1835]...

By Ke Chen, Qin Li, Jianfeng Lu, and Stephen J. Wright
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 1153-1177, January 2020.
In the framework of generalized finite element methods for elliptic equations with rough coefficients, efficiency and accuracy...

By Jérôme Droniou and Kim-Ngan Le
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1965-1992, January 2020.
The gradient discretization method (GDM) is a generic framework for designing and analyzing numerical schemes for...

By Malte Winckler, Irwin Yousept, and Jun Zou
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1941-1964, January 2020.
This paper is concerned with the analysis of an adaptive edge element method for solving elliptic...

By William Leeb and Vladimir Rokhlin
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1789-A1808, January 2020.
This paper introduces a fast and numerically stable algorithm for the solution of fourth-order linear boundary...

By Mark Ainsworth and Charles Parker
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1867-1892, January 2020.
We solve the following problem: Given piecewise polynomial boundary data $f$ and $g$ on a triangle...

By Changkun Wei, Jiaqing Yang, and Bo Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1918-1940, January 2020.
In this paper, a perfectly matched layer (PML) method is proposed to solve the time-domain electromagnetic...

By Chunxiong Zheng, Qiang Du, Xiang Ma, and Jiwei Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1893-1917, January 2020.
The stability and error analysis of a second-order fast approximation are considered for the one-dimensional local...

By Marc Dambrine and Helmut Harbrecht
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 1136-1152, January 2020.
This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure...

By Daniel Y. Le Roux, Christopher Eldred, and Mark A. Taylor
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1845-1866, January 2020.
We present a Fourier analysis of wave propagation problems subject to a class of continuous and...

By Herbert Egger and Bogdan Radu
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1822-1844, January 2020.
We consider the numerical approximation of single-phase flow in porous media by a mixed finite element...

By X. T. Tong, M. Morzfeld, and Y. M. Marzouk
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1765-A1788, January 2020.
Markov chain Monte Carlo (MCMC) samplers are numerical methods for drawing samples from a given target...

By Thomas Hudson and Xingjie H. Li
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 1113-1135, January 2020.
The Mori--Zwanzig formalism is applied to derive an equation for the evolution of linear observables of the...

By Delyan Z. Kalchev and Panayot S. Vassilevski
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1741-A1764, January 2020.
We modify the well-known interior penalty finite element discretization method so that it allows for element-by-element...

By Carina Bringedal, Lars von Wolff, and Iuliu Sorin Pop
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 1076-1112, January 2020.
We consider a model for precipitation and dissolution in a porous medium, where ions transported by a...

By Stefan Kindermann and Kemal Raik
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1773-1800, January 2020.
We investigate the convergence theory of several known as well as new heuristic parameter choice rules...

By Evan S. Gawlik
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1801-1821, January 2020.
A widely used approximation of the Gaussian curvature on a triangulated surface is the angle defect,...

By Elizabeth Herman, Alen Alexanderian, and Arvind K. Saibaba
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1714-A1740, January 2020.
We consider optimal design of PDE-based Bayesian linear inverse problems with infinite-dimensional parameters. We focus on...

By Ruo Li, Yanli Wang, and Yixuan Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B792-B815, January 2020.
We propose a Hermite--Galerkin spectral method to numerically solve the spatially homogeneous Fokker--Planck--Landau equation with a...

By Yongfeng Li, Haoyang Liu, Zaiwen Wen, and Ya-xiang Yuan
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1686-A1713, January 2020.
In this paper, we study fixed-point schemes with certain low-rank structures arising from matrix optimization problems....

By Patrick Henning and Daniel Peterseim
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1744-1772, January 2020.
We propose a new normalized Sobolev gradient flow for the Gross--Pitaevskii eigenvalue problem based on an...

By J. H. Adler, F. J. Gaspar, X. Hu, P. Ohm, C. Rodrigo, and L. T. Zikatanov
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B761-B791, January 2020.
In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed...

By Bruno Després and Maxime Herda
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1719-1743, January 2020.
We propose an iterative algorithm for the numerical computation of sums of squares of polynomials...

By Thomas Apel and Volker Kempf
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1696-1718, January 2020.
Recently, the $H(div)$-conforming finite element families for second-order elliptic problems have come more into focus since,...

By Bingquan Ji, Hong-lin Liao, Yuezheng Gong, and Luming Zhang
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B738-B760, January 2020.
Adaptive second-order Crank--Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for...

By Olivier Mercier, Xi-Yuan Yin, and Jean-Christophe Nave
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1663-A1685, January 2020.
We present a new numerical method for transporting arbitrary sets in a velocity field. The method...

By Daniela Calvetti, Jamie Prezioso, Rossana Occhipinti, Walter F. Boron, and Erkki Somersalo
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 1053-1075, January 2020.
The mechanism of gas transport across cell membranes remains a topic of considerable interest, particularly regarding the...

By Pierre Blanchard, Nicholas J. Higham, Florent Lopez, Theo Mary, and Srikara Pranesh
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page C124-C141, January 2020.
Computing units that carry out a fused multiply-add (FMA) operation with matrix arguments, referred to as...

By T. Zhang, A. Parker, R. P. Carlson, P. S. Stewart, and I. Klapper
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 1025-1052, January 2020.
Models of microbial community dynamics generally rely on a subscale description for microbial metabolisms. In systems such...

By Norbert J. Mauser, Yong Zhang, and Xiaofei Zhao
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 999-1024, January 2020.
We consider numerics/asymptotics for the rotating nonlinear Klein--Gordon (RKG) equation, an important PDE in relativistic quantum physics...

By Jie Shen and Jie Xu
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1674-1695, January 2020.
We propose numerical schemes for a class of Keller--Segel equations. The discretization is based on the...

By Zhiqiang Cai and JaEun Ku
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1654-1673, January 2020.
We present a dual finite element method for a singularly perturbed reaction-diffusion problem. It can be...

By Sean D. Lawley and Varun Shankar
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 887-915, January 2020.
Volume transmission is an important neural communication pathway in which neurons in one brain region influence the...

By S. Frei and T. Richter
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 942-969, January 2020.
In this article we address flow problems that carry a multiscale character in time. In particular...

By David Moxey, Roman Amici, and Mike Kirby
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page C97-C123, January 2020.
With the gap between processor clock speeds and memory bandwidth speeds continuing to increase, the use...

By Ruisheng Qi and Xiaojie Wang
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1613-1653, January 2020.
In two recent publications [M. Kovács, S. Larsson, and A. Mesforush, SIAM J. Numer. Anal.,...

By Anaïs Crestetto, Christian Klingenberg, and Marlies Pirner
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 970-998, January 2020.
This work is devoted to the numerical simulation of the Bhatnagar--Gross--Krook (BGK) equation for two species in...

By Qingguo Hong, Johannes Kraus, Maria Lymbery, and Mary F. Wheeler
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 916-941, January 2020.
We consider flux-based multiple-porosity/multiple-permeability poroelasticity systems describing mulitple-network flow and deformation in a poroelastic medium, also referred...

By Hannah Lu and Daniel M. Tartakovsky
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1639-A1662, January 2020.
Dynamic mode decomposition (DMD), which belongs to the family of singular-value decompositions (SVDs), is a popular...

By Silvia Bertoluzza, Micol Pennacchio, and Daniele Prada
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1556-1591, January 2020.
We deal with the finite element tearing and interconnecting dual primal preconditioner for elliptic problems discretized...

By P.-H. Maire and N. Therme
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1592-1612, January 2020.
We study the Lax consistency of a staggered finite volume scheme for Lagrangian hydrodynamics adapting the...

By H. Bin Zubair Syed, C. Farquharson, and S. MacLachlan
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B696-B721, January 2020.
Geophysical electromagnetic (EM) methods are an important technique for investigating the subsurface of the Earth, particularly...

By Steven Roberts, Arash Sarshar, and Adrian Sandu
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1609-A1638, January 2020.
Traditional time discretization methods use a single timestep for the entire system of interest and can...

By Niklas Behringer, Dmitriy Leykekhman, and Boris Vexler
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1531-1555, January 2020.
The main goal of the paper is to show new stability and localization results for the...

By Isaac Harris and Dinh-Liem Nguyen
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B722-B737, January 2020.
This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location...

By Jongho Park
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1495-1530, January 2020.
This paper gives a unified convergence analysis of additive Schwarz methods for general convex optimization problems....

By Arvind K. Saibaba
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1582-A1608, January 2020.
The discrete empirical interpolation method (DEIM) is a popular technique for nonlinear model reduction, and it...

By Mariya Ptashnyk and Chandrasekhar Venkataraman
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 851-886, January 2020.
We present and analyze a model for cell signaling processes in biological tissues. The model includes diffusion...

By Ricardo Delgadillo and Di Liu
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B656-B674, January 2020.
In this paper, we develop a novel spectral method for solving the time-dependent Kohn--Sham equations...

By Olena Burkovska and Max Gunzburger
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1469-1494, January 2020.
We consider parametrized problems driven by spatially nonlocal integral operators with parameter-dependent kernels. In particular, kernels...

By Annie Cuyt, Yuan Hou, Ferre Knaepkens, and Wen-shin Lee
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B675-B695, January 2020.
We present a $d$-dimensional exponential analysis algorithm that offers a range of advantages compared to other...

By Nikolaos Sfakianakis, Anotida Madzvamuse, and Mark A. J. Chaplain
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 824-850, January 2020.
The ability to locally degrade the extracellular matrix (ECM) and interact with the tumor microenvironment is a...

By Zhengguang Liu and Xiaoli Li
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B630-B655, January 2020.
In this paper, we consider an exponential scalar auxiliary variable (E-SAV) approach to obtain energy stable...

By Wenzhong Zhang, Bo Wang, and Wei Cai
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1440-1468, January 2020.
In this paper, we first derive the multipole expansion (ME) and local expansion (LE) for far...

By Lin Mu
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B608-B629, January 2020.
In this paper, we develop a pressure robust weak Galerkin finite element scheme for Stokes equations...

By Lin Mu
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1422-1439, January 2020.
In this paper, we develop a uniform robust weak Galerkin finite element scheme for Brinkman equations....

By Patrick Henning and Anna Persson
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B581-B607, January 2020.
In this paper we consider a numerical homogenization technique for curl-curl problems that is based on...

By Habib Ammari, Bowen Li, and Jun Zou
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 758-797, January 2020.
We study the anomalous electromagnetic scattering in the homogenization regime, by a subwavelength thin layer consisting of...

By Josselin Garnier, Etienne Gay, and Eric Savin
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 798-823, January 2020.
We consider the scattering of acoustic waves emitted by an active source above a plane turbulent shear...

By Pierre Blanchard, Nicholas J. Higham, and Theo Mary
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1541-A1557, January 2020.
The need to sum floating-point numbers is ubiquitous in scientific computing. Standard recursive summation of $n$...

By Gao Tang and Haizhao Yang
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 707-736, January 2020.
Multiresolution mode decomposition (MMD) is an adaptive tool to analyze a time series $f(t)=\sum_{k=1}^K f_k(t)$, where $f_k(t)$...

By Zhifang Du and Jiequan Li
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1558-A1581, January 2020.
Reliable tracking of moving boundaries is important for the simulation of compressible fluid flows, and...

By Russel Caflisch, Hung Hsu Chou, and Jonathan W. Siegel
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 737-757, January 2020.
Signal fragmentation is the (approximate) representation of a signal as a sum of signal fragments, each of...

By Martin Storath and Andreas Weinmann
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 674-706, January 2020.
In this paper, we consider the sparse regularization of manifold-valued data with respect to an interpolatory wavelet/multiscale...

By Shu-Lin Wu and Jun Liu
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1510-A1540, January 2020.
In this paper, we propose a new efficient preconditioner for iteratively solving the large-scale indefinite saddle-point...

By Klaudius Scheufele, Shashank Subramanian, Andreas Mang, George Biros, and Miriam Mehl
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B549-B580, January 2020.
We present a novel formulation for the calibration of a biophysical tumor growth model from a...

By David Aristoff and Daniel M. Zuckerman
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 646-673, January 2020.
We propose parameter optimization techniques for weighted ensemble sampling of Markov chains in the steady-state regime. Weighted...

By Lei Li, Zhenli Xu, and Yue Zhao
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1486-A1509, January 2020.
We propose a fast potential splitting Markov chain Monte Carlo method which costs $O(1)$ time each...

By Dominic Etienne Charrier, Benjamin Hazelwood, and Tobias Weinzierl
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page C69-C96, January 2020.
High-order discontinuous Galerkin (DG) methods promise to be an excellent discretization paradigm for hyperbolic differential equation...

By Jesse Laeuchli and Andreas Stathopoulos
SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1459-A1485, January 2020.
We present extensions to hierarchical probing, a method developed in [A. Stathopoulos, J. Laeuchli, and K....

By James Foster, Terry Lyons, and Harald Oberhauser
SIAM Journal on Numerical Analysis, Volume 58, Issue 3, Page 1393-1421, January 2020.
In this paper, we will present a strong (or pathwise) approximation of standard Brownian motion by...

By Ruo Li and Fanyi Yang
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1428-A1457, January 2020.
We propose a discontinuous Galerkin (DG) method to approximate the elliptic interface problem on unfitted mesh...

By Shukai Du and Francisco-Javier Sayas
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1367-1391, January 2020.
We propose a framework that allows us to analyze different variants of hybridizable discontinuous Galerkin (HDG)...

By Chupeng Ma, Liqun Cao, and Yanping Lin
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1339-1366, January 2020.
In this paper, we consider the Galerkin finite element methods for the Maxwell--Klein--Gordon system in the...

By Mark Ainsworth, Ozan Tugluk, Ben Whitney, and Scott Klasky
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1402-A1427, January 2020.
Previous work on multilevel techniques for compression and reduction of scientific data is extended to the...

By Felipe Vico, Leslie Greengard, Michael O'Neil, and Manas Rachh
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1380-A1401, January 2020.
In this work we present an algorithm to construct an infinitely differentiable smooth surface from an...

By Vu Thai Luan, Rujeko Chinomona, and Daniel R. Reynolds
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1245-A1268, January 2020.
This work focuses on the development of a new class of high-order accurate methods for multirate...

By Thomas G. Anderson, Oscar P. Bruno, and Mark Lyon
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1348-A1379, January 2020.
This paper proposes a frequency/time hybrid integral-equation method for the time-dependent wave equation in two- and...

By Johnathan M. Bardsley and Per Christian Hansen
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1269-A1288, January 2020.
In many inverse problems, a nonnegativity constraint is natural. Moreover, in some cases, we expect the...

By Johnathan M. Bardsley, Tiangang Cui, Youssef M. Marzouk, and Zheng Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1317-A1347, January 2020.
Optimization-based samplers such as randomize-then-optimize (RTO) [J. M. Bardsley et al., SIAM J. Sci. Comput., 36...

By Akash Anand, Jeffrey S. Ovall, Samuel E. Reynolds, and Steffen Weißer
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1289-A1316, January 2020.
We present a Trefftz-type finite element method on meshes consisting of curvilinear polygons. Local basis...

By Kassem Mustapha
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1319-1338, January 2020.
A time-stepping $L1$ scheme for subdiffusion equation with a Riemann--Liouville time fractional derivative is developed and...

By Daniel K. Crane, Mark S. Gockenbach, and Matthew J. Roberts
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1295-1318, January 2020.
The singular values and singular vectors of a compact operator $T$ can be estimated by discretizing...

By Kit Newton, Qin Li, and Andrew M. Stuart
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 589-611, January 2020.
Many naturally occurring models in the sciences are well approximated by simplified models using multiscale techniques. In...

By Sören Bartels and Gerd Wachsmuth
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1226-A1244, January 2020.
This article investigates the numerical approximation of shape optimization problems with PDE constraint on classes of...

By Dong An and Lin Lin
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 612-645, January 2020.
The dynamics of a closed quantum system is often studied with the direct evolution of the Schrödinger...

By Neil K. Chada, Andrew M. Stuart, and Xin T. Tong
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1263-1294, January 2020.
Ensemble Kalman inversion is a parallelizable methodology for solving inverse or parameter estimation problems. Although it...

By Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, and Xiaofei Zhao
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B520-B547, January 2020.
In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong...

By Patrick Murphy, Paul C. Bressloff, and Sean D. Lawley
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 572-588, January 2020.
Single-particle tracking experiments have recently found that C. elegans zygotes rely on space-dependent switching diffusivities to form...

By Andrew Horning and Alex Townsend
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1239-1262, January 2020.
An operator analogue of the FEAST matrix eigensolver is developed to compute the discrete part of...

By Natalia Kopteva and Xiangyun Meng
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1217-1238, January 2020.
An initial-boundary value problem with a Caputo time derivative of fractional order $\alpha\in(0,1)$ is considered, solutions...

By Xiao Liu, Jianlin Xia, and Maarten de Hoop
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1174-A1199, January 2020.
For discretized elliptic equations, we develop a new factorization update algorithm that is suitable for incorporating...

By Tommy Etling, Roland Herzog, Estefanía Loayza, and Gerd Wachsmuth
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1200-A1225, January 2020.
We consider shape optimization problems subject to elliptic partial differential equations. In the context of the...

By Christopher R. Hoyt and Art B. Owen
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1195-1216, January 2020.
We consider the mean dimension of some ridge functions of spherical Gaussian random vectors of dimension...

By René R. Hiemstra, Thomas J. R. Hughes, Carla Manni, Hendrik Speleers, and Deepesh Toshniwal
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1138-1163, January 2020.
In this paper, we present an efficient and robust approach to compute a normalized B-spline-like basis...

By Paola F. Antonietti and Laura Melas
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1147-A1173, January 2020.
We present algebraic multigrid (AMG) methods for the efficient solution of the linear system of equations...

By Neeraj Sarna, Jan Giesselmann, and Manuel Torrilhon
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1164-1194, January 2020.
In [Commun. Pure Appl. Math., 2 (1949), pp. 331--407], Grad proposed a Hermite series expansion for...

By Youngsoo Choi, Deshawn Coombs, and Robert Anderson
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1116-A1146, January 2020.
Several reduced order models have been successfully developed for nonlinear dynamical systems. To achieve a considerable...

By Hanz Martin Cheng and Jérôme Droniou
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1071-A1096, January 2020.
In this paper, we develop the ball-approximated characteristics (B-char) method, which is an algorithm for efficiently...

By S. González-Pinto, E. Hairer, and D. Hernandez-Abreu
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1117-1137, January 2020.
For the numerical solution of parabolic problems with a linear diffusion term, linearly implicit time integrators...

By Qiyuan Pang, Kenneth L. Ho, and Haizhao Yang
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1097-A1115, January 2020.
This paper introduces a “kernel-independent” interpolative decomposition butterfly factorization (IDBF) as a data-sparse approximation for matrices...

By Tommaso Taddei
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A997-A1027, January 2020.
We propose a general---i.e., independent of the underlying equation---registration method for parameterized model order reduction. Given...

By Antonio Baeza, Raimund Bürger, Pep Mulet, and David Zorío
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1028-A1051, January 2020.
A novel scheme, based on third-order weighted essentially nonoscillatory (WENO) reconstructions, is presented. It attains unconditionally...

By Stefano Massei, Leonardo Robol, and Daniel Kressner
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page C43-C68, January 2020.
Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop...

By Konrad Simon and Jörn Behrens
Multiscale Modeling & Simulation, Volume 18, Issue 2, Page 543-571, January 2020.
Long simulation times in climate science typically require coarse grids due to computational constraints. Nonetheless, unresolved subscale...

By J. Thomas Beale
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1052-A1070, January 2020.
We present a general purpose method for solving partial differential equations on a closed surface, based...

By Peter Benner, Zvonimir Bujanović, Patrick Kürschner, and Jens Saak
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A957-A996, January 2020.
In this paper, we discuss numerical methods for solving large-scale continuous-time algebraic Riccati equations. These...

By Laurent Gosse and Nicolas Vauchelet
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1092-1116, January 2020.
For a four-stream approximation of the kinetic model of radiative transfer with isotropic scattering, a numerical...

By Quentin Wargnier, Sylvain Faure, Benjamin Graille, Thierry Magin, and Marc Massot
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B492-B519, January 2020.
This contribution deals with the modeling of collisional multicomponent magnetized plasmas in thermal and chemical nonequilibrium...

By Remi R. Lam, Olivier Zahm, Youssef M. Marzouk, and Karen E. Willcox
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A929-A956, January 2020.
We propose a multifidelity dimension reduction method to identify a low-dimensional structure present in many engineering...

By Vandana Dwarka and Cornelis Vuik
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A901-A928, January 2020.
Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorporating deflation techniques...

By S. De Marchi, W. Erb, F. Marchetti, E. Perracchione, and M. Rossini
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B472-B491, January 2020.
Accurate interpolation and approximation techniques for functions with discontinuities are key tools in many applications, such...

By V. Kaarnioja, F. Y. Kuo, and I. H. Sloan
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1068-1091, January 2020.
Many studies in uncertainty quantification have been carried out under the assumption of an input random...

By José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez, and Chi-Wang Shu
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 502-541, January 2020.
Well-balanced and free energy dissipative first- and second-order accurate finite-volume schemes are proposed for a general class...

By Victor Minden and Lexing Ying
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A878-A900, January 2020.
We present a simple discretization scheme for the hypersingular integral representa- tion of the fractional Laplace...

By Sheng Chen, Jie Shen, Zhimin Zhang, and Zhi Zhou
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A849-A877, January 2020.
In this paper, we develop and analyze a spectral-Galerkin method for solving subdiffusion equations, which contain...

By Eric Chung, Yalchin Efendiev, Yanbo Li, and Qin Li
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 475-501, January 2020.
The Boltzmann equation, as a model equation in statistical mechanics, is used to describe the statistical behavior...

By Nicolas Crouseilles, Shi Jin, Mohammed Lemou, and Florian Méhats
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 444-474, January 2020.
In this paper, we propose a numerical method solving the one space dimensional semiclassical kinetic graphene model...

By Théophile Chaumont-Frelet and Frédéric Valentin
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1029-1067, January 2020.
This work proposes a novel multiscale finite element method for acoustic wave propagation in highly heterogeneous...

By Yassine Zniyed, Rémy Boyer, André L. F. de Almeida, and Gérard Favier
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A822-A848, January 2020.
In the context of big data, high-order tensor decompositions have to face a new challenge in...

By Jun Hu and Limin Ma
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A797-A821, January 2020.
Two asymptotically exact a posteriori error estimates are proposed for eigenvalues by the nonconforming ...

By J. Jacangelo, J. W. Banks, and T. Hagstrom
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B447-B471, January 2020.
Galerkin differences (GDs) were introduced in [J. W. Banks and T. Hagstrom, J. Comput. Phys., 313...

By Tom Gustafsson, Rolf Stenberg, and Juha Videman
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B425-B446, January 2020.
We show quasi-optimality and a posteriori error estimates for the frictionless contact problem between two elastic...

By Andreas Hessenthaler, Ben S. Southworth, David Nordsletten, Oliver Röhrle, Robert D. Falgout, and Jacob B. Schroder
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A771-A796, January 2020.
This paper presents a multilevel convergence framework for multigrid-reduction-in-time (MGRIT) as a generalization of previous two-grid...

By Weihua Deng, Xudong Wang, and Pingwen Zhang
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 415-443, January 2020.
The Laplacian $\Delta$ is the infinitesimal generator of isotropic Brownian motion, being the limit process of normal...

By Michel Duprez and Alexei Lozinski
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 1008-1028, January 2020.
We propose a new fictitious domain finite element method, well suited for elliptic problems posed in...

By Qiuqi Li and Pingwen Zhang
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A723-A750, January 2020.
In this paper, we consider a variable-separation (VS) method to solve the nonlinear partial differential equations...

By Giacomo Gigante, Giulia Sambataro, and Christian Vergara
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A751-A770, January 2020.
In this work we consider the optimized Schwarz method designed for computational domains that feature spherical...

By Joackim Bernier, Fernando Casas, and Nicolas Crouseilles
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A666-A697, January 2020.
In this work, a splitting strategy is introduced to approximate two-dimensional rotation motions. Unlike standard approaches...

By Felipe Lepe and David Mora
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A698-A722, January 2020.
In this paper we introduce and analyze symmetric and nonsymmetric discontinuous Galerkin (DG) methods for the...

By Meng Chen and Leevan Ling
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 988-1007, January 2020.
We proposed ways to implement meshless collocation methods extrinsically for solving elliptic PDEs on smooth, closed,...

By Dongkun Zhang, Ling Guo, and George Em Karniadakis
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A639-A665, January 2020.
One of the open problems in scientific computing is the long-time integration of nonlinear stochastic partial...

By Quan M. Bui, Daniel Osei-Kuffuor, Nicola Castelletto, and Joshua A. White
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B379-B396, January 2020.
Simulation of multiphase poromechanics involves solving a multiphysics problem in which multiphase flow and transport are...

By Malgorzata Peszynska and Ralph E. Showalter
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 962-987, January 2020.
We consider a scalar conservation law with hysteresis in which the flux function depends on the...

By Martin Hutzenthaler and Thomas Kruse
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 929-961, January 2020.
Parabolic partial differential equations (PDEs) and backward stochastic differential equations have a wide range of applications....

By T. Reis
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B397-B424, January 2020.
We analytically solve the two-dimensional, nine-velocity, lattice Boltzmann model in planar channel flow and determine...

By Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, and David I. Ketcheson
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A612-A638, January 2020.
The framework of inner product norm preserving relaxation Runge--Kutta methods [D. I. Ketcheson, SIAM J. Numer....

By Iain Duff, Jonathan Hogg, and Florent Lopez
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page C23-C42, January 2020.
The factorization of sparse symmetric indefinite systems is particularly challenging since pivoting is required to maintain...

By Andrea Alessandro Ruggiu and Jan Nordström
SIAM Journal on Numerical Analysis, Volume 58, Issue 2, Page 907-928, January 2020.
Diagonal norm finite difference based time integration methods in summation-by-parts form are investigated. The second, fourth,...

By Ruihan Guo and Yan Xu
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B353-B378, January 2020.
In this paper, we propose a high order numerical scheme to simulate the binary fluid--surfactant system...

By Tao Tang, Li-Lian Wang, Huifang Yuan, and Tao Zhou
SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A585-A611, January 2020.
Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decaying...

By Preston Donovan and Muruhan Rathinam
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 383-414, January 2020.
We propose random walks on suitably defined graphs as a framework for finescale modeling of particle motion...

By Wei Bian and Xiaojun Chen
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 858-883, January 2020.
In this paper, we focus on the constrained sparse regression problem, where the loss function is...

By Francesca Boso and Daniel M. Tartakovsky
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A559-A583, January 2020.
Nonlinear hyperbolic balance laws with uncertain (random) initial data are ubiquitous in a plethora of transport...

By Olivier Zahm, Paul G. Constantine, Clémentine Prieur, and Youssef M. Marzouk
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A534-A558, January 2020.
Multivariate functions encountered in high-dimensional uncertainty quantification problems often vary most strongly along a few dominant...

By Ralf Hiptmair, Carlos Jerez-Hanckes, and Carolina Urzúa-Torres
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 834-857, January 2020.
We consider first-kind weakly singular and hypersingular boundary integral operators for the Laplacian on screens in...

By Shuonan Wu and Jinchao Xu
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 884-906, January 2020.
This paper is devoted to the construction and analysis of the finite element approximations for the...

By Camille Carvalho, Shilpa Khatri, and Arnold D. Kim
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A504-A533, January 2020.
When using boundary integral equation methods to solve a boundary value problem, the evaluation of the...

By Sören Bartels and Michael Růžička
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 811-833, January 2020.
The article addresses the convergence of implicit and semi-implicit, fully discrete approximations of a class of...

By Giacomo Dimarco and Lorenzo Pareschi
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 351-382, January 2020.
The development of efficient numerical methods for kinetic equations with stochastic parameters is a challenge due to...

By Jay Gopalakrishnan, Philip L. Lederer, and Joachim Schöberl
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 706-732, January 2020.
We introduce a new discretization of a mixed formulation of the incompressible Stokes equations that includes...

By Ilona Ambartsumyan, Eldar Khattatov, Jan M. Nordbotten, and Ivan Yotov
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 630-656, January 2020.
We develop a new multipoint stress mixed finite element method for linear elasticity with weakly enforced...

By Claire Evans, Sara Pollock, Leo G. Rebholz, and Mengying Xiao
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 788-810, January 2020.
This paper provides theoretical justification that Anderson acceleration (AA) improves the convergence rate of contractive fixed-point...

By Maria Kazakova and Pascal Noble
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 657-683, January 2020.
In this paper, we introduce artificial boundary conditions for the linearized Green--Naghdi system of equations. The...

By Michael Griebel, Helmut Harbrecht, and Michael D. Multerer
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 684-705, January 2020.
Multilevel quadrature methods for parametric operator equations such as the multilevel (quasi--) Monte Carlo method resemble...

By P. E. Farrell, P. A. Gazca-Orozco, and E. Süli
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 757-787, January 2020.
In the classical theory of fluid mechanics a linear relationship between the shear stress and the...

By Habib Ammari, Yat Tin Chow, and Keji Liu
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 733-756, January 2020.
An optimal mesh size of the sampling region can help to reduce computational burden in practical...

By Takeshi Fukaya, Ramaseshan Kannan, Yuji Nakatsukasa, Yusaku Yamamoto, and Yuka Yanagisawa
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A477-A503, January 2020.
The Cholesky QR algorithm is an efficient communication-minimizing algorithm for computing the QR factorization of a...

By Guoqiang Wang, Xinyuan Wei, Bo Yu, and Lijun Xu
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A395-A423, January 2020.
In this paper, an efficient and robust algorithm framework is presented for large-scale sparse least squares...

By Martin Heida, Ralf Kornhuber, and Joscha Podlesny
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 294-314, January 2020.
Inspired by continuum mechanical contact problems with geological fault networks, we consider elliptic second order...

By Konstantinos Spiliopoulos and Matthew R. Morse
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 315-350, January 2020.
We consider systems of slow-fast diffusions with small noise in the slow component. We construct provably...

By I.-G. Farcaş, J. Latz, E. Ullmann, T. Neckel, and H.-J. Bungartz
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A424-A451, January 2020.
Deterministic interpolation and quadrature methods are often unsuitable to address Bayesian inverse problems depending on computationally...

By Martin Bourne, Joab Winkler, and Yi Su
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A452-A476, January 2020.
This paper describes the algorithms of Musser and Gauss for the computation of multiple roots...

By Habib Ammari, Durga Prasad Challa, Anupam Pal Choudhury, and Mourad Sini
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 240-293, January 2020.
We deal with the point-interaction approximations for the acoustic wave fields generated by a cluster of highly...

By B. Endtmayer, U. Langer, and T. Wick
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A371-A394, January 2020.
In this work, we derive two-sided a posteriori error estimates for the dual-weighted residual (DWR) method....

By Quan Zhao, Wei Jiang, and Weizhu Bao
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B327-B352, January 2020.
We propose a parametric finite element method (PFEM) for efficiently solving the morphological evolution of solid-state...

By Kurt A. O'Hearn, Abdullah Alperen, and Hasan Metin Aktulga
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page C1-C22, January 2020.
Including atom polarizability in molecular dynamics (MD) simulations is important for high-fidelity simulations. Linear solvers for...

By Pritpal Matharu and Bartosz Protas
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B250-B272, January 2020.
In this work we introduce a computational framework for determining optimal closures of the eddy-viscosity type...

By Verónica Anaya, Zoa de Wijn, Bryan Gómez-Vargas, David Mora, and Ricardo Ruiz-Baier
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B225-B249, January 2020.
In this paper we introduce a new formulation for the stationary poroelasticity equations written using the...

By Zhengdao Chen, Baranidharan Raman, and Ari Stern
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B273-B298, January 2020.
Motivated by the Hodgkin--Huxley model of neuronal dynamics, we study explicit numerical integrators for “conditionally linear”...

By Torsten Keßler, Sergej Rjasanow, and Steffen Weißer
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B299-B326, January 2020.
This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron...

By Fei Xu
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 198-220, January 2020.
This paper introduces a cascadic adaptive finite element method for nonlinear eigenvalue equations arising from quantum physics...

By Saumik Dana, Joel Ita, and Mary F. Wheeler
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 221-239, January 2020.
We establish a link between the decoupling constraint in a two-grid staggered solution algorithm for consolidation in...

By Andy T. S. Wan and Marc Laforest
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 460-491, January 2020.
We derive a posteriori error estimates for a semidiscrete finite element approximation of a nonlinear eddy...

By Arbaz Khan and Guido Kanschat
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 492-518, January 2020.
In this paper, a robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the...

By Irene Drelichman, Ricardo G. Durán, and Ignacio Ojea
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 590-606, January 2020.
We consider the approximation of Poisson type problems where the source is given by a singular...

By Victor DeCaria, Traian Iliescu, William Layton, Michael McLaughlin, and Michael Schneier
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 565-589, January 2020.
We propose a novel artificial compression, reduced order model (AC-ROM) for the numerical simulation of viscous...

By Jayesh Badwaik and Adrian M. Ruf
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 607-629, January 2020.
We prove that a class of monotone finite volume schemes for scalar conservation laws with discontinuous...

By Jean-Luc Guermond, Bojan Popov, and Jean Ragusa
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 519-540, January 2020.
We introduce a (linear) positive and asymptotic-preserving method for solving the one-group radiation transport equation. ...

By Yuhong Zhang, Li Shan, and Yanren Hou
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 541-564, January 2020.
Those studying complex domains containing superposed fluid and porous layers will frequently encounter the phenomenon of...

By Thomas Ludescher, Sven Gross, and Arnold Reusken
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A318-A342, January 2020.
We consider discrete Poisson interface problems resulting from linear unfitted finite elements, also called cut finite...

By Pierre Degond, Marina A. Ferreira, Sara Merino-Aceituno, and Mickaël Nahon
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 163-197, January 2020.
Swelling media (e.g., gels, tumors) are usually described by mechanical constitutive laws (e.g., Hooke or Darcy laws)....

By Jay Chu, John M. Hong, and Hsin-Yi Lee
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 104-130, January 2020.
In this paper, we study the approximation and existence of vacuum states in the multiscale gas flows...

By Rémi Abgrall, Konstantin Lipnikov, Nathaniel Morgan, and Svetlana Tokareva
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A343-A370, January 2020.
We present the second-order multidimensional staggered grid hydrodynamics residual distribution (SGH RD) scheme for Lagrangian hydrodynamics....

By Gasta͂o A. Braga, Frederico Furtado, Vincenzo Isaia, and Long Lee
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 131-162, January 2020.
We systematically study a numerical procedure that reveals the asymptotically self-similar dynamics of solutions of partial differential...

By Liu Yang, Dongkun Zhang, and George Em Karniadakis
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A292-A317, January 2020.
We developed a new class of physics-informed generative adversarial networks (PI-GANs) to solve forward, inverse, and...

By Szu-Pei P. Fu, Rolf Ryham, Andreas Klöckner, Matt Wala, Shidong Jiang, and Yuan-Nan Young
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 79-103, January 2020.
In this paper, a mathematical model for long-range, hydrophobic attraction between amphiphilic particles is developed to quantify...

By Ernest K. Ryu, Seyoon Ko, and Joong-Ho Won
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B185-B206, January 2020.
Many imaging problems, such as total variation reconstruction of X-ray computed tomography (CT) and positron-emission tomography...

By Habib Ammari, Oscar Bruno, Kthim Imeri, and Nilima Nigam
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B207-B224, January 2020.
In this paper, we present a new and efficient approach for optimizing the transmission signal between...

By Buyang Li, Jilu Wang, and Liwei Xu
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 430-459, January 2020.
A new fully discrete linearized $H^1$-conforming Lagrange finite element method is proposed for solving the two-dimensional...

By Thierry Goudon and Laurent Monasse
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B157-B184, January 2020.
We propose a well-balanced scheme for the modified Lifshitz--Slyozov equation, which incorporates a size-diffusion term....

By Yuezheng Gong, Jia Zhao, and Qi Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B135-B156, January 2020.
We present a systematic approach to developing arbitrarily high-order, unconditionally energy stable numerical schemes for thermodynamically...

By Ahmad Ahmad Ali and Michael Hinze
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A271-A291, January 2020.
We consider a class of parameter dependent optimal control problems of elliptic PDEs with constraints of...

By Bosco García-Archilla, Julia Novo, and Edriss S. Titi
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 410-429, January 2020.
In this paper we analyze a finite element method applied to a continuous downscaling data assimilation...

By Ruo Li and Fanyi Yang
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 353-374, January 2020.
We propose a new least squares finite element method to solve the Poisson equation. By using...

By Florian Sonner and Thomas Richter
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 375-409, January 2020.
We provide optimal order pressure error estimates for the Crank--Nicolson semidiscretization of the incompressible Navier--Stokes...

By Liliana Borcea and Josselin Garnier
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 44-78, January 2020.
We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal...

By Xiangcheng Zheng and Hong Wang
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 330-352, January 2020.
We develop a numerical method for the boundary-value problem of a variable-order linear space-fractional diffusion equation....

By Stefan Müller, Florian Schweiger, and Endre Süli
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 298-329, January 2020.
We prove an optimal-order error bound in the discrete $H^2(\Omega)$ norm for finite difference approximations of...

By Elizabeth Carlson, Joshua Hudson, and Adam Larios
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A250-A270, January 2020.
We study a continuous data assimilation algorithm proposed by Azouani, Olson, and Titi (AOT) in the...

By Julian Braun and Christoph Ortner
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 279-297, January 2020.
We consider the geometry relaxation of an isolated point defect embedded in a homogeneous crystalline solid,...

By Xiu Yang, Xueyu Zhu, and Jing Li
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A220-A249, January 2020.
In this work, we propose a framework that combines approximation-theory-based multifidelity method and Gaussian-process-regression-based multifidelity method...

By Zhicheng Hu, Zhenning Cai, and Yanli Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B105-B134, January 2020.
We propose a Hermite spectral method for the spatially inhomogeneous Boltzmann equation. For the inverse-power-law model,...

By Charles-Edouard Brehier and Xu Wang
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 254-278, January 2020.
Parareal algorithms are studied for semilinear parabolic stochastic partial differential equations to achieve a “parallel-in-real-time” implementation....

By Zhaopeng Hao and Zhongqiang Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 211-233, January 2020.
We investigate a spectral Galerkin method for the fractional advection-diffusion-reaction equations in one dimension. We first...

By Sophie M. Moufawad
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A187-A219, January 2020.
Recently, enlarged Krylov subspace methods, which consist of enlarging the Krylov subspace by a maximum of...

By Faisal A. Fairag and Johnson D. Audu
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 234-253, January 2020.
A two-level mixed finite element method is developed and analyzed to solve the Darcy--Forchheimer equation modeling...

By Alexandra Bünger, Sergey Dolgov, and Martin Stoll
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A140-A161, January 2020.
Isogeometric analysis (IgA) has become one of the most popular methods for the discretization of PDEs,...

By Carsten Carstensen, Qilong Zhai, and Ran Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 109-124, January 2020.
The skeletal finite element method (FEM) in this paper is a hybridized discontinuous Galerkin FEM ...

By Ustim Khristenko, Andrei Constantinescu, Patrick Le Tallec, J. Tinsley Oden, and Barbara Wohlmuth
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 21-43, January 2020.
Random microstructures of heterogeneous materials play a crucial role in the material macroscopic behavior and in predictions...

By Xue Hong and Yinhua Xia
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 125-152, January 2020.
In this paper, we develop and analyze an arbitrary Lagrangian--Eulerian discontinuous Galerkin (ALE-DG) method for solving...

By Johannes Storn
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 86-108, January 2020.
An investigation of a least-squares finite element method (LSFEM) for the Stokes equation reveals a relation...

By Xin Xing and Edmond Chow
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A162-A186, January 2020.
The continuous fast multipole method (CFMM) is well known for its asymptotically linear complexity for constructing...

By Jerome Droniou and Robert Eymard
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 153-188, January 2020.
We present and analyze a numerical framework for the approximation of nonlinear degenerate elliptic equations of...

By Annalisa Buffa, Jacopo Corno, Carlo de Falco, Sebastian Schöps, and Rafael Vázquez Hernández
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B80-B104, January 2020.
This paper discusses and analyzes two domain decomposition approaches for electromagnetic problems that allow the combination...

By Buyang Li, Kai Wang, and Zhi Zhou
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 189-210, January 2020.
An implicit-explicit multistep method based on the backward difference formulae (BDF) is proposed for time discretization...

By Adrien Laurent and Gilles Vilmart
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A115-A139, January 2020.
We introduce a new methodology based on the multirevolution idea for constructing integrators for stochastic differential...

By Tommaso Buvoli
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A1-A27, January 2020.
This paper introduces a new class of exponential integrators based on spectral deferred correction. These...

By Yunzhang Li, Chi-Wang Shu, and Shanjian Tang
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A54-A86, January 2020.
In this paper we present a discontinuous Galerkin (DG) method to approximate stochastic conservation laws, which...

By Jisheng Kou, Shuyu Sun, and Xiuhua Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B30-B56, January 2020.
The Peng--Robinson equation of state (PR-EoS) has become one of the most extensively applied ...

By Michael Wathen and Chen Greif
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B57-B79, January 2020.
We introduce a new approximate inverse preconditioner for a mixed finite element discretization of an incompressible...

By Jana de Wiljes, Sahani Pathiraja, and Sebastian Reich
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A87-A114, January 2020.
Several numerical tools designed to overcome the challenges of smoothing in a nonlinear and non-Gaussian setting...

By R. Z. Dautov, A. V. Lapin, and S. Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 48-65, January 2020.
The Lagrange--Galerkin scheme is studied for degenerate parabolic variational inequality arising in connection with the pricing...

By Mihály Kovács, Stig Larsson, and Fardin Saedpanah
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 66-85, January 2020.
Motivated by fractional derivative models in viscoelasticity, a class of semilinear stochastic Volterra integro-differential equations, and...

By Alexander Brune and Michal Kočvara
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A28-A53, January 2020.
One of the challenges encountered in optimization of mechanical structures, in particular in what is known...

By Frederic Weidling, Benjamin Sprung, and Thorsten Hohage
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 21-47, January 2020.
This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator equations with wavelet Besov...

By Leonid Berlyand, Pierre-Emmanuel Jabin, Mykhailo Potomkin, and Elżbieta Ratajczyk
Multiscale Modeling & Simulation, Volume 18, Issue 1, Page 1-20, January 2020.
The study of active matter consisting of many self-propelled (active) swimmers in an imposed flow is important...

By Jia Li, Dazhi Zhang, Xiong Meng, Boying Wu, and Qiang Zhang
SIAM Journal on Numerical Analysis, Volume 58, Issue 1, Page 1-20, January 2020.
In this paper, we study the discontinuous Galerkin (DG) method with a class of generalized numerical...

By Jianfeng Lu and Zhe Wang
SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B1-B29, January 2020.
In this paper, we propose a general analysis framework for inexact power iteration, which can be...

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