By Fabian M. Faulstich, Andre Laestadius, Örs Legeza, Reinhold Schneider, and Simen Kvaal
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2579-2607, January 2019.
In quantum chemistry, one of the most important challenges is the static correlation problem when solving...

By Helen L. Cleaves, Alen Alexanderian, Hayley Guy, Ralph C. Smith, and Meilin Yu
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3524-A3551, January 2019.
We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters...

By Jianyuan Yin, Lei Zhang, and Pingwen Zhang
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3576-A3595, January 2019.
We present a high-index optimization-based shrinking dimer (HiOSD) method to compute index-$k$ saddle points as a...

By Tommy Etling, Roland Herzog, and Martin Siebenborn
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3498-A3523, January 2019.
The identification of the interface of an inclusion in a diffusion process is considered. This task...

By Adam G. Peddle, Terry Haut, and Beth Wingate
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3476-A3497, January 2019.
In [SIAM J. Sci. Comput., 36 (2014), pp. A693--A713] the authors present a new coarse propagator...

By Sergey Dolgov and John W. Pearson
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1228-B1253, January 2019.
In this paper, we consider the fast numerical solution of an optimal control formulation of the...

By Harbir Antil, Yanlai Chen, and Akil Narayan
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3552-A3575, January 2019.
Fractional Laplace equations are becoming important tools for mathematical modeling and prediction. Recent years have shown...

By Jean-Marie Mirebeau
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2608-2655, January 2019.
We address the numerical computation of distance maps with respect to Riemannian metrics of strong anisotropy....

By Yuya Suzuki, Gowri Suryanarayana, and Dirk Nuyens
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1254-B1283, January 2019.
We approximate the solution for the time dependent Schrödinger equation in two steps. We first use...

By Kai Fu and Dong Liang
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1178-B1210, January 2019.
In this paper, a mass-conservative temporal second order and spatial fourth order characteristic finite volume...

By R. Altmann and D. Peterseim
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1211-B1227, January 2019.
This paper concerns the numerical approximation of low-energy eigenstates of the linear random Schrödinger operator. Under...

By Gang Chen, Liangya Pi, Liwei Xu, and Yangwen Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2551-2578, January 2019.
In this paper, we first devise an ensemble hybridizable discontinuous Galerkin (HDG) method to efficiently simulate...

By Hehu Xie, Lei Zhang, and Houman Owhadi
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2519-2550, January 2019.
We present a method for the fast computation of the eigenpairs of a bijective positive...

By Tao Wu and David F. Gleich
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3449-A3475, January 2019.
We study a novel variation on the Ulam--von Neumann Monte Carlo method for solving a linear...

By Gabriel N. Gatica and Salim Meddahi
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2493-2518, January 2019.
This paper introduces and analyzes the combined use of the virtual element method (VEM) and the...

By Fabian M. Faulstich, Andre Laestadius, Örs Legeza, Reinhold Schneider, and Simen Kvaal
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2579-2607, January 2019.
In quantum chemistry, one of the most important challenges is the static correlation problem when solving...

By Helen L. Cleaves, Alen Alexanderian, Hayley Guy, Ralph C. Smith, and Meilin Yu
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3524-A3551, January 2019.
We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters...

By Jianyuan Yin, Lei Zhang, and Pingwen Zhang
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3576-A3595, January 2019.
We present a high-index optimization-based shrinking dimer (HiOSD) method to compute index-$k$ saddle points as a...

By Tommy Etling, Roland Herzog, and Martin Siebenborn
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3498-A3523, January 2019.
The identification of the interface of an inclusion in a diffusion process is considered. This task...

By Adam G. Peddle, Terry Haut, and Beth Wingate
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3476-A3497, January 2019.
In [SIAM J. Sci. Comput., 36 (2014), pp. A693--A713] the authors present a new coarse propagator...

By Sergey Dolgov and John W. Pearson
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1228-B1253, January 2019.
In this paper, we consider the fast numerical solution of an optimal control formulation of the...

By Harbir Antil, Yanlai Chen, and Akil Narayan
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3552-A3575, January 2019.
Fractional Laplace equations are becoming important tools for mathematical modeling and prediction. Recent years have shown...

By Jean-Marie Mirebeau
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2608-2655, January 2019.
We address the numerical computation of distance maps with respect to Riemannian metrics of strong anisotropy....

By Yuya Suzuki, Gowri Suryanarayana, and Dirk Nuyens
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1254-B1283, January 2019.
We approximate the solution for the time dependent Schrödinger equation in two steps. We first use...

By Kai Fu and Dong Liang
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1178-B1210, January 2019.
In this paper, a mass-conservative temporal second order and spatial fourth order characteristic finite volume...

By R. Altmann and D. Peterseim
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1211-B1227, January 2019.
This paper concerns the numerical approximation of low-energy eigenstates of the linear random Schrödinger operator. Under...

By Gang Chen, Liangya Pi, Liwei Xu, and Yangwen Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2551-2578, January 2019.
In this paper, we first devise an ensemble hybridizable discontinuous Galerkin (HDG) method to efficiently simulate...

By Hehu Xie, Lei Zhang, and Houman Owhadi
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2519-2550, January 2019.
We present a method for the fast computation of the eigenpairs of a bijective positive...

By Tao Wu and David F. Gleich
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page A3449-A3475, January 2019.
We study a novel variation on the Ulam--von Neumann Monte Carlo method for solving a linear...

By Gabriel N. Gatica and Salim Meddahi
SIAM Journal on Numerical Analysis, Volume 57, Issue 6, Page 2493-2518, January 2019.
This paper introduces and analyzes the combined use of the virtual element method (VEM) and the...

By Jialin Hong, Xu Wang, and Liying Zhang
SIAM Journal on Scientific Computing, Volume 41, Issue 6, Page B1155-B1177, January 2019.
A parareal algorithm based on an exponential $\theta$-scheme is proposed for the stochastic Schrödinger equation with...

By Jeroen Wouters and Georg A. Gottwald
Multiscale Modeling & Simulation, Volume 17, Issue 4, Page 1172-1188, January 2019.
We propose a stochastic model reduction strategy for deterministic and stochastic slow-fast systems with a moderate time...

By S. J. Thomas, S. Ananthan, S. Yellapantula, J. J. Hu, M. Lawson, and M. A. Sprague
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S196-S219, January 2019.
This paper presents a comparison of parallel strong scaling performance of classical and aggregation algebraic multigrid...

By Azahar Monge and Philipp Birken
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S86-S105, January 2019.
An important challenge when coupling two different time dependent problems is to increase parallelization in time....

By Shihua Gong and Xiao-Chuan Cai
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S390-S408, January 2019.
We propose and study a nonlinear elimination preconditioned inexact Newton method for the numerical simulation of...

By Alvaro Pe de la Riva, Carmen Rodrigo, and Francisco J. Gaspar
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S321-S345, January 2019.
The design of fast solvers for isogeometric analysis is receiving a lot of attention due to...

By Alfredo Buttari, Dominique Orban, Daniel Ruiz, and David Titley-Peloquin
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S409-S432, January 2019.
We propose an iterative method for the solution of symmetric saddle-point systems that exploits the orthogonal...

By Shu-Lin Wu and Tao Zhou
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3421-A3448, January 2019.
The multigrid-reduction-in-time (MGRIT) algorithm is an efficient parallel-in-time algorithm for solving dynamic problems. The goal of...

By Xiaozhe Hu, Junyuan Lin, and Ludmil T. Zikatanov
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S220-S241, January 2019.
We propose a path cover adaptive algebraic multigrid (PC-$\alpha$AMG) method for solving linear systems with weighted...

By Lu Zhang, Thomas Hagstrom, and Daniel Appelö
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2469-2492, January 2019.
An energy-based discontinuous Galerkin method for the advective wave equation is proposed and analyzed. Energy-conserving or...

By Samy Wu Fung and Lars Ruthotto
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S129-S148, January 2019.
We consider a global variable consensus alternating direction method of multipliers (ADMM) algorithm for estimating parameters...

By Tom Manteuffel and Ben S. Southworth
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S269-S296, January 2019.
Algebraic multigrid (AMG) is one of the fastest numerical methods for solving large sparse linear systems....

By Xunnian Yang and Jialin Hong
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3401-A3420, January 2019.
It is shown in [SIAM J. Sci. Comput., 39 (2017), pp. B424--B441] that free-form curves used...

By Julianne Chung and Silvia Gazzola
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S149-S171, January 2019.
In this paper we develop flexible Krylov methods for efficiently computing regularized solutions to large-scale linear...

By Andrew Glaws and Paul G. Constantine
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S106-S128, January 2019.
Many of the input-parameter-to-output-quantity-of-interest maps that arise in computational science admit a surprising low-dimensional structure, where...

By Jed Brown, Yunhui He, and Scott MacLachlan
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S346-S369, January 2019.
Local Fourier analysis is a commonly used tool for the analysis of multigrid and other multilevel...

By C. B. Scott and Eric Mjolsness
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S297-S320, January 2019.
Multigrid modeling algorithms are a technique used to accelerate iterative method models running on a hierarchy...

By Thomas A. Manteuffel, Steffen Münzenmaier, John Ruge, and Ben Southworth
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S242-S268, January 2019.
Algebraic multigrid (AMG) is often an effective solver for symmetric positive definite (SPD) linear systems resulting...

By Alexandre Timonov
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B1137-B1154, January 2019.
We propose a new approach to the numerical solution of a coupled physics inverse conductivity problem...

By Jamie Haddock and Deanna Needell
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S19-S36, January 2019.
In applications like medical imaging, error correction, and sensor networks, one needs to solve large-scale linear...

By Pieterjan Robbe, Dirk Nuyens, and Stefan Vandewalle
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S37-S60, January 2019.
The multilevel Monte Carlo method is an efficient variance reduction technique. It uses a sequence of...

By Christopher Gorman, Gustavo Chávez, Pieter Ghysels, Théo Mary, François-Henry Rouet, and Xiaoye Sherry Li
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S61-S85, January 2019.
We present new algorithms for randomized construction of hierarchically semiseparable (HSS) matrices, addressing several practical issues....

By Pedro D. Bello-Maldonado and Paul F. Fischer
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S2-S18, January 2019.
Low-order finite element (FE) systems are considered as preconditioners for spectral element (SE) discretizations of the...

By Nicholas J. Higham and Srikara Pranesh
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page C585-C602, January 2019.
The half-precision (fp16) floating-point format, defined in the 2008 revision of the IEEE standard for floating-point...

By Yunyi Hu, Martin S. Andersen, and James G. Nagy
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S370-S389, January 2019.
In the area of image sciences, the emergence of spectral computed tomography (CT) detectors highlights the...

By Alena Kopaničáková, Rolf Krause, and Rasmus Tamstorf
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S433-S461, January 2019.
Cloth simulation is an important topic for many applications in computer graphics, animation, and augmented virtual...

By Tim Wildey, Sriramkrishnan Muralikrishnan, and Tan Bui-Thanh
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S172-S195, January 2019.
We consider a standard elliptic partial differential equation and propose a geometric multigrid algorithm based on...

By Irad Yavneh
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page S1-S1, January 2019.
The Eighteenth Copper Mountain Conference on Iterative Methods was held March 25--30, 2018, in Copper Mountain,...

By Andreas Mang, Amir Gholami, Christos Davatzikos, and George Biros
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page C548-C584, January 2019.
With this work we release CLAIRE, a distributed-memory implementation of an effective solver for constrained large...

By Jun Lai and Peijun Li
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3276-A3299, January 2019.
Consider the elastic scattering of a time-harmonic wave by multiple well-separated rigid particles with smooth boundaries...

By Siyang Wang and N. Anders Petersson
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3246-A3275, January 2019.
We analyze two types of summation-by-parts finite difference operators for approximating the second derivative with variable...

By Erik Burman, Daniel Elfverson, Peter Hansbo, Mats G. Larson, and Karl Larsson
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3354-A3380, January 2019.
We design and analyze a hybridized cut finite element method for elliptic interface problems. In this...

By Marco Frego and Enrico Bertolazzi
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3326-A3353, January 2019.
A comprehensive algorithm to compute the minimum distance between a given point in the plane and...

By Ruo Li, Zhiyuan Sun, and Fanyi Yang
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3381-A3400, January 2019.
We adapt a symmetric interior penalty discontinuous Galerkin method using a patch reconstructed approximation space to...

By Alexander Bihlo and Francis Valiquette
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3300-A3325, January 2019.
Using the method of equivariant moving frames, we present a procedure for constructing symmetry-preserving finite element...

By Kevin W. Aiton and Tobin A. Driscoll
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3230-A3245, January 2019.
Spectral polynomial approximation of smooth functions allows real-time manipulation of and computation with them, as in...

By Marlis Hochbruck, Bernhard Maier, and Christian Stohrer
Multiscale Modeling & Simulation, Volume 17, Issue 4, Page 1147-1171, January 2019.
We present a finite element heterogeneous multiscale method for time-dependent Maxwell's equations in first-order formulation in...

By J. Albella, H. Ben Dhia, S. Imperiale, and J. Rodríguez
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2436-2468, January 2019.
In this work, we extend the Arlequin method, a multiscale and multimodel framework based on overlapping...

By Jingrun Chen, Dingjiong Ma, and Zhiwen Zhang
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B1115-B1136, January 2019.
In recent years, an increasing attention has been paid to quantum heterostructures with tailored functionalities, such...

By Zlatko Drmač, Igor Mezić, and Ryan Mohr
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3118-A3151, January 2019.
The goals and contributions of this paper are twofold. It provides a new numerically robust computational...

By Allal Guessab and Boris Semisalov
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3152-A3181, January 2019.
In this paper, we consider a general decomposition of any convex polytope $P\subset\mathbb{R}^n$ into a set...

By Andrés Arrarás, Francisco J. Gaspar, Laura Portero, and Carmen Rodrigo
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B1082-B1114, January 2019.
This paper deals with the efficient numerical solution of single-phase flow problems in fractured porous media....

By Jure Slak and Gregor Kosec
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3202-A3229, January 2019.
In this paper we present an algorithm that is able to generate locally regular node layouts...

By Yuehaw Khoo and Lexing Ying
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3182-A3201, January 2019.
We propose a novel neural network architecture, SwitchNet, for solving wave equation based inverse scattering problems...

By Jingwei Hu and Ruiwen Shu
Multiscale Modeling & Simulation, Volume 17, Issue 4, Page 1123-1146, January 2019.
We introduce a second-order time discretization method for stiff kinetic equations. The method is asymptotic-preserving---can capture the...

By Chris Finlay and Adam Oberman
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3097-A3117, January 2019.
Finite difference schemes are the method of choice for solving nonlinear, degenerate elliptic PDEs, because the...

By Laura Grigori and Olivier Tissot
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page C522-C547, January 2019.
Krylov methods are widely used for solving large sparse linear systems of equations. On distributed architectures,...

By Lukas Einkemmer and Christian Lubich
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B1061-B1081, January 2019.
Numerical methods that approximate the solution of the Vlasov--Poisson equation by a low-rank representation have been...

By Patrick E. Farrell, Lawrence Mitchell, and Florian Wechsung
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3073-A3096, January 2019.
In [M. Benzi and M. A. Olshanskii, SIAM J. Sci. Comput., 28 (2006), pp. 2095--2113] a...

By Heiko Kröner
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2413-2435, January 2019.
For degenerate elliptic and possibly singular geometric evolution equations such as the level set formulations for...

By Lihui Chai, Emmanuel Lorin, and Xu Yang
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2383-2412, January 2019.
This paper focuses on the derivation and analysis of the frozen Gaussian approximation (FGA) for the...

By Alexander Heinlein, Axel Klawonn, Jascha Knepper, and Oliver Rheinbach
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3045-A3072, January 2019.
A robust two-level overlapping Schwarz method for scalar elliptic model problems with highly varying coefficient functions...

By Alex Bespalov, Dirk Praetorius, Leonardo Rocchi, and Michele Ruggeri
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2359-2382, January 2019.
We propose and analyze novel adaptive algorithms for the numerical solution of elliptic partial differential equations...

By Eric T. Chung and Sai-Mang Pun
Multiscale Modeling & Simulation, Volume 17, Issue 4, Page 1103-1122, January 2019.
In this research, an online basis enrichment strategy for the constraint energy minimizing generalized multiscale finite element...

By Clark R. Dohrmann, Kendall H. Pierson, and Olof B. Widlund
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A3021-A3044, January 2019.
We present a family of approximate BDDC preconditioners based on inexact solvers for the coarse problem....

By Adrian Sandu
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2300-2327, January 2019.
Differential equations arising in many practical applications are characterized by multiple time scales. Multirate time integration...

By Erkki Heikkola, Kazufumi Ito, and Jari Toivanen
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page C505-C521, January 2019.
An efficient domain decomposition method and its parallel implementation for the solution of the Helmholtz equation...

By Alejandro Allendes, Francisco Fuica, Enrique Otárola, and Daniel Quero
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2967-A2998, January 2019.
We propose and analyze a reliable and efficient a posteriori error estimator for the pointwise tracking...

By Valentina Candiani, Antti Hannukainen, and Nuutti Hyvönen
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B1034-B1060, January 2019.
This work introduces a computational framework for applying absolute electrical impedance tomography to head imaging without...

By Tommaso Buvoli and Mayya Tokman
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2911-A2937, January 2019.
We present a methodology for constructing time integrators for solving systems of first-order ordinary differential equations...

By Jesse Chan, David C. Del Rey Fernández, and Mark H. Carpenter
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2938-A2966, January 2019.
The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied...

By Jürgen Dölz, Stefan Kurz, Sebastian Schöps, and Felix Wolf
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B983-B1010, January 2019.
We analyze a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods....

By V. Betz, B. D. Goddard, and Tim Hurst
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B1011-B1033, January 2019.
We consider nonadiabatic transitions in multiple dimensions, which occur when the Born--Oppenheimer approximation breaks down. We...

By I. Cravero, M. Semplice, and G. Visconti
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2328-2358, January 2019.
Central $\mathsf{WENO}$ reconstruction procedures have shown very good performance in finite volume and finite difference schemes...

By B. T. Krull and M. L. Minion
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2999-A3020, January 2019.
Magnus integrators are a subset of geometric integration methods for the numerical solution of ordinary differential...

By Felix del Teso, Jørgen Endal, and Espen R. Jakobsen
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2266-2299, January 2019.
We develop a unified and easy to use framework to study robust fully discrete numerical methods...

By Ettore Vidotto, Timo Koch, Tobias Köppl, Rainer Helmig, and Barbara Wohlmuth
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 1076-1102, January 2019.
In this paper, we are concerned with the simulation of blood flow in microvascular networks and the...

By Yunzhe Tao, Xiaochuan Tian, and Qiang Du
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 1052-1075, January 2019.
Motivated by recent development on nonlocal mechanical models like peridynamics, we consider nonlocal integral models with...

By Alexander H. Barnett, Jeremy Magland, and Ludvig af Klinteberg
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page C479-C504, January 2019.
The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications...

By Jianming Yang
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page C446-C478, January 2019.
The fast marching method is well known for its worst-case optimal computational complexity in solving the...

By Wayne Isaac T. Uy and Mircea Grigoriu
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2880-A2910, January 2019.
Methods have been developed to identify the probability distribution of a random vector $Z$ from information...

By Emanuela Abbate, Angelo Iollo, and Gabriella Puppo
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2850-A2879, January 2019.
An implicit relaxation scheme is derived for the simulation of multidimensional flows at all Mach numbers,...

By Jeffrey W. Banks, Andre Gianesini Odu, Richard Berger, Thomas Chapman, William Arrighi, and Stephan Brunner
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B953-B982, January 2019.
This manuscript discusses discretization of the Vlasov--Poisson system in 2D+2V phase space using high-order accurate conservative...

By Nicholas J. Higham and Theo Mary
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2815-A2835, January 2019.
Traditional rounding error analysis in numerical linear algebra leads to backward error bounds involving the constant...

By Giovanni Migliorati
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2217-2245, January 2019.
Given any domain $X \subseteq \mathbb{R}^d$ and a probability measure $\rho$ on $X$, we study the...

By J. A. C. Weideman
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2200-2216, January 2019.
Several popular methods for the numerical inversion of the Laplace transform are based on quadrature approximation...

By Conor McCoid and Manfred R. Trummer
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2836-A2849, January 2019.
We propose a new algorithm to improve the accuracy of spectral methods for singularly perturbed two-point...

By Li Guo, Hengguang Li, and Qingsong Zou
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2246-2265, January 2019.
In this paper, we study the interior error estimates of a class of finite volume...

By Alexey V. Smirnov, Michael V. Klibanov, and Loc H. Nguyen
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B929-B952, January 2019.
A new numerical method to solve an inverse source problem for the radiative transfer equation involving...

By Akash Anand and Awanish K. Tiwari
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2772-A2794, January 2019.
Computationally efficient numerical methods for high-order approximations of convolution integrals involving weakly singular kernels find many...

By F. Caforio and S. Imperiale
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2747-A2771, January 2019.
The aim of this work is to propose a novel, fast solver for the Poisson problem...

By Lukas Einkemmer
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2795-A2814, January 2019.
In this paper, we propose a numerical method for solving weakly compressible fluid flow based on...

By James R. Maddison, Daniel N. Goldberg, and Benjamin D. Goddard
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page C417-C445, January 2019.
Developments in automated code generation have allowed extremely compact representations of numerical models and for associated...

By Chi Yeung Lam and Jianliang Qian
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page A2717-A2746, January 2019.
We develop a novel numerical microlocal analysis (NMLA) method using fast Gaussian wave packet transforms. Our...

By Pedro S. Peixoto and Martin Schreiber
SIAM Journal on Scientific Computing, Volume 41, Issue 5, Page B903-B928, January 2019.
In this paper we propose a novel way to integrate time-evolving partial differential equations that contain...

By Lei Li and Jian-Guo Liu
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2095-2120, January 2019.
We consider a discretization of Caputo derivatives resulted from deconvolving a scheme for the corresponding Volterra...

By Herbert Egger and Matthias Schlottbom
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2166-2188, January 2019.
We consider the numerical approximation of boundary conditions in radiative transfer problems by a perfectly matched...

By Johannes Pfefferer and Max Winkler
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2043-2073, January 2019.
This paper is concerned with approximations and related discretization error estimates for the normal derivatives of...

By Christian Poetzsche
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2121-2141, January 2019.
Integrodifference equations are successful and popular models in theoretical ecology to describe spatial dispersal and temporal...

By Jun Hu, Shangyou Zhang, and Zhimin Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2189-2199, January 2019.
It is proved that the Galerkin difference method proposed in [J. W. Banks and T....

By Abinand Gopal and Lloyd N. Trefethen
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2074-2094, January 2019.
A new method is introduced for solving Laplace problems on two-dimensional regions with corners by approximation...

By Qi Tao and Yan Xu
SIAM Journal on Numerical Analysis, Volume 57, Issue 5, Page 2142-2165, January 2019.
In this paper, we study the superconvergence properties of an arbitrary Lagrangian--Eulerian discontinuous Galerkin (ALE-DG) method...

By Peter A. Bosler, Andrew M. Bradley, and Mark A. Taylor
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B870-B902, January 2019.
A set of algorithms based on characteristic discontinuous Galerkin methods is presented for tracer transport on...

By Tony Lelièvre and Wei Zhang
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 1019-1051, January 2019.
Effective dynamics using conditional expectation was proposed in [F. Legoll and T. Lelièvre, Nonlinearity, 23 (2010), pp....

By Yingzhou Li, Jianfeng Lu, and Zhe Wang
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2681-A2716, January 2019.
Leading eigenvalue problems for large scale matrices arise in many applications. Coordinatewise descent methods are considered...

By Stefano Massei, Mariarosa Mazza, and Leonardo Robol
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2627-A2656, January 2019.
We consider the discretization of time-space diffusion equations with fractional derivatives in space and either one-dimensional...

By Guofei Pang, Lu Lu, and George Em Karniadakis
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2603-A2626, January 2019.
Physics-informed neural networks (PINNs), introduced in [M. Raissi, P. Perdikaris, and G. Karniadakis, J. Comput. Phys.,...

By Howard C. Elman and Tengfei Su
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2657-A2680, January 2019.
We study efficient solution methods for stochastic eigenvalue problems arising from discretization of self-adjoint PDEs with...

By Niall Bootland, Alistair Bentley, Christopher Kees, and Andrew Wathen
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B843-B869, January 2019.
We consider iterative methods for solving the linearized Navier--Stokes equations arising from two-phase flow problems and...

By Yuwen Li
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 2019-2042, January 2019.
In this paper, we present several new a posteriori error estimators and two adaptive mixed finite...

By Lingxiao Li, Mingjiu Ni, and Weiying Zheng
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B796-B815, January 2019.
A charge-conservative finite element method is proposed to solve the inductionless and incompressible magnetohydrodynamic (MHD) equations...

By Lingxiao Li, Mingjiu Ni, and Weiying Zheng
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B816-B842, January 2019.
In [L. Li, M. Ni, and W. Zheng, SIAM J. Sci. Comput., 41 (2019), pp. B796--B815]...

By Max D. Gunzburger and Wenju Zhao
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2579-A2602, January 2019.
We systematically consider the stochastic Navier--Stokes equations with temporal-spatial correlated and uncorrelated noises for given ...

By Mengnan Li, Eric Chung, and Lijian Jiang
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 996-1018, January 2019.
In this paper, we present a constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for parabolic...

By Marvin Knöller, Alexander Ostermann, and Katharina Schratz
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1967-1986, January 2019.
Standard numerical integrators suffer from an order reduction when applied to nonlinear Schrödinger equations with low-regularity...

By Gang Chen, John R. Singler, and Yangwen Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1919-1946, January 2019.
We first propose a hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a convection...

By Alexander Ostermann, Chiara Piazzola, and Hanna Walach
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1947-1966, January 2019.
We propose a numerical integrator for determining low-rank approximations to solutions of large-scale matrix differential equations....

By Jeremy G. Hoskins, Vladimir Rokhlin, and Kirill Serkh
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2552-A2578, January 2019.
In the present paper we describe a class of algorithms for the solution of Laplace's equation...

By John W. Barrett, Harald Garcke, and Robert Nürnberg
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1987-2018, January 2019.
The elastic flow, which is the $L^2$-gradient flow of the elastic energy, has several applications in...

By Ruipeng Li, Yuanzhe Xi, Lucas Erlandson, and Yousef Saad
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page C393-C415, January 2019.
This paper describes a software package called EVSL (for eigenvalues slicing library) for solving large...

By Vanja Nikolić and Barbara Wohlmuth
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1897-1918, January 2019.
We study the spatial discretization of Westervelt's quasi-linear strongly damped wave equation by piecewise linear finite...

By Ling Guo, Fanhai Zeng, Ian Turner, Kevin Burrage, and George Em Karniadakis
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2510-A2535, January 2019.
In this work, we extend the fractional linear multistep methods in [C. Lubich, SIAM J. Math....

By Mamikon Gulian, Maziar Raissi, Paris Perdikaris, and George Karniadakis
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2485-A2509, January 2019.
Data-driven discovery of “hidden physics''---i.e., machine learning of differential equation models underlying observed data---has recently been...

By Albert Fannjiang
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 973-995, January 2019.
Blind ptychography is a phase retrieval method using multiple coded diffraction patterns from different, overlapping parts of...

By Nicholas J. Higham, Srikara Pranesh, and Mawussi Zounon
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2536-A2551, January 2019.
Motivated by the demand in machine learning, modern computer hardware is increasingly supporting reduced precision floating-point...

By Daniel A. Serino, Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2464-A2484, January 2019.
An analysis is made of a new partitioned scheme for solving fluid-structure interaction problems involving viscous...

By Joel A. Tropp, Alp Yurtsever, Madeleine Udell, and Volkan Cevher
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2430-A2463, January 2019.
This paper argues that randomized linear sketching is a natural tool for on-the-fly compression of data...

By Hui Liang and Hermann Brunner
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1875-1896, January 2019.
Collocation solutions by globally continuous piecewise polynomials to second-kind Volterra integral equations (VIEs) with smooth kernels...

By José Antonio Carrillo, Piotr Gwiazda, Karolina Kropielnicka, and Anna K. Marciniak-Czochra
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1842-1874, January 2019.
The Escalator Boxcar Train (EBT) numerical method has been designed and widely used by theoretical biologists...

By Alessandro Alla, Maurizio Falcone, and Luca Saluzzi
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2384-A2406, January 2019.
The classical dynamic programming (DP) approach to optimal control problems is based on the characterization of...

By Jeonghun J. Lee, Stephen J. Shannon, Tan Bui-Thanh, and John N. Shadid
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1697-1722, January 2019.
We develop a hybridized discontinuous Galerkin (HDG) method for stationary linearized incompressible magnetohydrodynamics (MHD) equations. At...

By Yuehaw Khoo and Lexing Ying
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B773-B795, January 2019.
In this paper, we introduce methods from convex optimization to solve the multimarginal transport type problems...

By Antti Hannukainen, Jarmo Malinen, and Antti Ojalammi
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1789-1814, January 2019.
Efficient solution of the lowest eigenmodes is studied for a family of related eigenvalue problems with...

By Martin J. Gander and Tommaso Vanzan
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2329-A2354, January 2019.
Due to their property of convergence in the absence of overlap, optimized Schwarz methods are the...

By Josef Dick, Michael Feischl, and Christoph Schwab
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1744-1769, January 2019.
We propose a multi-index algorithm for the Monte Carlo (MC) discretization of a linear, elliptic PDE...

By Jakub Červený, Veselin Dobrev, and Tzanio Kolev
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page C367-C392, January 2019.
We propose a general algorithm for nonconforming adaptive mesh refinement (AMR) of unstructured meshes in high-order...

By Shixin Xu, Xinfu Chen, Chun Liu, and Xingye Yue
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1770-1788, January 2019.
Genetic drift describes random fluctuations in the number of genes variants in a population....

By Juan Pablo Borthagaray and Patrick Ciarlet Jr
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1723-1743, January 2019.
We consider the numerical solution of the fractional Laplacian of index $s\in(1/2,1)$ in a bounded domain...

By Linan Zhang and Hayden Schaeffer
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 948-972, January 2019.
One way to understand time-series data is to identify the underlying dynamical system which generates it. This...

By Alexander Zaitzeff, Selim Esedoglu, and Krishna Garikipati
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2407-A2429, January 2019.
We present careful numerical convergence studies, using parameterized curves to reach very high resolutions in two...

By Elvar K. Bjarkason
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2355-A2383, January 2019.
This paper describes practical randomized algorithms for low-rank matrix approximation that accommodate any budget for the...

By Jianbo Cui and Jialin Hong
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1815-1841, January 2019.
Strong and weak approximation errors of a spatial finite element method are analyzed for the stochastic...

By Roland Pulch and Akil Narayan
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2270-A2295, January 2019.
We investigate model order reduction (MOR) for linear dynamical systems, where a quadratic output is defined...

By Nick Alger, Vishwas Rao, Aaron Myers, Tan Bui-Thanh, and Omar Ghattas
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2296-A2328, January 2019.
We present an adaptive grid matrix-free operator approximation scheme based on a “product-convolution” interpolation of convolution...

By Jiang Hu, Bo Jiang, Lin Lin, Zaiwen Wen, and Ya-xiang Yuan
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2239-A2269, January 2019.
In this paper, we study structured quasi-Newton methods for optimization problems with orthogonality constraints. Note that...

By Zhenhua Chai, Hong Liang, Rui Du, and Baochang Shi
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B746-B772, January 2019.
In this paper, a lattice Boltzmann (LB) model with double distribution functions is proposed for two-phase...

By K. L. A. Kirk, T. L. Horvath, A. Cesmelioglu, and S. Rhebergen
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1677-1696, January 2019.
This paper presents the first analysis of a space-time hybridizable discontinuous Galerkin method for the advection-diffusion...

By Gang Bao, Tao Yin, and Fang Zeng
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B721-B745, January 2019.
This paper concerns the reconstruction of multiple elastic parameters (Lamé parameters and density) of an inhomogeneous...

By Gero Friesecke and Michael Kniely
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 926-947, January 2019.
We present and study novel optimal control problems motivated by the search for photovoltaic materials with high...

By Khalide Jbilou and Marcos Raydan
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2193-A2211, January 2019.
We propose a new optimization approach for solving large-scale continuous-time algebraic Riccati equations with a low-rank...

By Matthias Chung, Mickaël Binois, Robert B. Gramacy, Johnathan M. Bardsley, David J. Moquin, Amanda P. Smith, and Amber M. Smith
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2212-A2238, January 2019.
Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight,...

By Matteo Frigo, Nicola Castelletto, and Massimiliano Ferronato
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B694-B720, January 2019.
In this paper, we introduce a relaxed physical factorization (RPF) preconditioner for the efficient iterative solution...

By Brendan Keith, Ali Vaziri Astaneh, and Leszek F. Demkowicz
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1649-1676, January 2019.
This article lays a mathematical foundation for goal-oriented adaptive mesh refinement and a posteriori error estimation...

By Steven Goldenberg, Andreas Stathopoulos, and Eloy Romero
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2172-A2192, January 2019.
Obtaining high accuracy singular triplets for large sparse matrices is a significant challenge, especially when searching...

By Christoph Reisinger and Yufei Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1625-1648, January 2019.
We present a novel penalty approach for a class of quasi-variational inequalities (QVIs) involving monotone systems...

By Wajih Boukaram, George Turkiyyah, and David Keyes
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page C339-C366, January 2019.
Randomized algorithms for the generation of low rank approximations of large dense matrices have become popular...

By Yongyong Cai and Yan Wang
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1602-1624, January 2019.
This paper is devoted to the construction and analysis of uniformly accurate nested Picard iterative integrators...

By Ruchi Guo and Tao Lin
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1545-1573, January 2019.
This article develops and analyzes a $p$th degree immersed finite element (IFE) method for solving the...

By HaiGang Li, YanYan Li, and ZhuoLun Yang
Multiscale Modeling & Simulation, Volume 17, Issue 3, Page 899-925, January 2019.
In the perfect conductivity problem of composite material, the gradient of solutions can be arbitrarily large when...

By Julien Herrmann, M. Yusuf Özkaya, Bora Uçar, Kamer Kaya, and Ümit V. Çatalyürek
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2117-A2145, January 2019.
We investigate the problem of partitioning the vertices of a directed acyclic graph into a given...

By Mark Ainsworth, Ozan Tugluk, Ben Whitney, and Scott Klasky
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2146-A2171, January 2019.
Although many compression algorithms are focused on preserving pointwise values of the data, application scientists are...

By S. Berrone, S. Scialò, and F. Vicini
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page C317-C338, January 2019.
In the present work a message passing interface (MPI) parallel implementation of an optimization-based approach for...

By Yuan Xu, Qiang Zhang, Chi-wang Shu, and Haijin Wang
SIAM Journal on Numerical Analysis, Volume 57, Issue 4, Page 1574-1601, January 2019.
In this paper we propose a simple and unified framework to investigate the L$^2$-norm stability of...

By Yvon Maday and Tommaso Taddei
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B669-B693, January 2019.
We provide a number of extensions and further interpretations of the parameterized-background data-weak (PBDW)...

By Alexander Heinlein, Christian Hochmuth, and Axel Klawonn
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page C291-C316, January 2019.
Monolithic overlapping Schwarz preconditioners for saddle point problems of Stokes and Navier--Stokes type are presented. In...

By George I. Boutselis, Yunpeng Pan, and Evangelos A. Theodorou
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2065-A2087, January 2019.
In this paper we develop a novel optimal control framework for uncertain mechanical systems. Our work...

By Carlos Pérez-Arancibia, Catalin Turc, and Luiz Faria
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page A2088-A2116, January 2019.
This paper introduces planewave density interpolation methods for the regularization of weakly singular, strongly singular, hypersingular,...

By Raphael Hohmann and Christian Leithäuser
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B625-B648, January 2019.
We consider the optimal shape design of polymer distributors for the industrial spinning process, where long...

By Ming-Chih Lai and Kian Chuan Ong
SIAM Journal on Scientific Computing, Volume 41, Issue 4, Page B649-B668, January 2019.
In this paper, we develop unconditionally energy stable schemes to solve the inextensible interface problem with...

By Dongling Wang and Jun Zou
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1445-1470, January 2019.
We first present a new delay-dependent fractional generalization of Halanay-like inequality to characterize the asymptotic behavior...

By Ana Maria Soane and Andrei Drăgănescu
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1494-1523, January 2019.
The focus of this work is on the construction and analysis of optimal-order multigrid preconditioners...

By Mariam Al-Maskari and Samir Karaa
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1524-1544, January 2019.
We consider the numerical approximation of a semilinear fractional order evolution equation involving a Caputo ...

By Stephen Edward Moore
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1471-1493, January 2019.
We present and analyze a stable space-time multipatch discontinuous Galerkin isogeometric analysis (dGIGA) scheme for the...

By Brian Van Koten and Mitchell Luskin
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 873-898, January 2019.
We analyze the convergence of the string method of E, Ren, and Vanden-Eijnden [J. Chem. Phys., 126...

By Mante Zemaityte, Françoise Tisseur, and Ramaseshan Kannan
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B601-B624, January 2019.
The shift-and-invert Lanczos algorithm is a commonly used solution procedure to compute the eigenpairs of large,...

By Andreas Langer and Fernando Gaspoz
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1411-1444, January 2019.
Alternating and parallel overlapping domain decomposition methods for the minimization of the total variation are presented....

By J. J. W. van der Vegt, Yinhua Xia, and Yan Xu
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A2037-A2063, January 2019.
Currently, nearly all positivity preserving discontinuous Galerkin (DG) discretizations of partial differential equations are coupled with...

By Lin Mu and Guannan Zhang
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1984-A2011, January 2019.
We developed a domain decomposition model reduction method for linear steady- state convection-diffusion equations with random...

By Vít Dolejší, Georg May, Ajay Rangarajan, and Filip Roskovec
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1899-A1922, January 2019.
We deal with the numerical solution of a linear convection-diffusion-reaction equation using the discontinuous Galerkin method...

By Thomas Y. Hou, Dingjiong Ma, and Zhiwen Zhang
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 826-853, January 2019.
In this paper, we propose a model reduction method for solving multiscale elliptic PDEs with random coefficients...

By Weifeng Zhao, Juntao Huang, and Wen-An Yong
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 854-872, January 2019.
This paper opens a series of papers focusing on boundary conditions for kinetic theory based models. As...

By Willy Dörfler and Robert Nürnberg
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A2012-A2036, January 2019.
We consider the numerical approximation of the $L^2$--gradient flow of general curvature energies $\int G(|\vec\varkappa|)$ for...

By Mustafa Abduljabbar, Mohammed Al Farhan, Noha Al-Harthi, Rui Chen, Rio Yokota, Hakan Bagci, and David Keyes
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page C245-C268, January 2019.
We present a boundary integral equation solver for wave scattering suited for many-core processors, which are...

By Bin Gao, Xin Liu, and Ya-xiang Yuan
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1949-A1983, January 2019.
To construct a parallel approach for solving optimization problems with orthogonality constraints is usually regarded as...

By Rosa Maria Pidatella, Gabriella Puppo, Giovanni Russo, and Pietro Santagati
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B576-B600, January 2019.
This paper aims to introduce a new class of high order conservative schemes to solve systems...

By Jørgen S. Dokken, Simon W. Funke, August Johansson, and Stephan Schmidt
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1923-A1948, January 2019.
An important step in shape optimization with partial differential equation constraints is to adapt the geometry...

By Eric T. Phipps and Tamara G. Kolda
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page C269-C290, January 2019.
In this paper, we develop software for decomposing sparse tensors that is portable to and performant...

By Consuelo Fuenzalida, Carlos Jerez-Hanckes, and Ryan G. McClarren
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B545-B575, January 2019.
We develop a novel method to compute first and second order statistical moments of the neutron...

By Vahid Keshavarzzadeh, Robert M. Kirby, and Akil Narayan
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1344-1368, January 2019.
We present a numerical method for convergence acceleration for multifidelity models of parameterized ordinary differential equations....

By James Diffenderfer, Alyson L. Fox, Jeffrey A. Hittinger, Geoffrey Sanders, and Peter G. Lindstrom
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1867-A1898, January 2019.
Compression of floating-point data will play an important role in high-performance computing as data bandwidth and...

By Chun'guang You, Hehu Xie, and Xuefeng Liu
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1395-1410, January 2019.
To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the...

By Tomáš Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen, and Zdeněk Strakoš
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1369-1394, January 2019.
In [IMA J. Numer. Anal., 29 (2009), pp. 24--42], Nielsen, Tveito, and Hackbusch study the...

By Claude Le Bris, Frédéric Legoll, and François Madiot
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 773-825, January 2019.
We consider an advection-diffusion equation that is advection-dominated and posed on a perforated domain. On the boundary...

By Wangtao Lu and Guanghui Hu
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B522-B544, January 2019.
This paper is concerned with acoustic scattering from a sound-soft trapezoidal surface in two dimensions....

By Nan Wang, Zhiping Mao, Chengming Huang, and George Em Karniadakis
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1840-A1866, January 2019.
We consider spectral approximations to the conservative form of the two-sided Riemann--Liouville (R-L) and Caputo fractional...

By P. E. Farrell, J. E. Hake, S. W. Funke, and M. E. Rognes
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page C219-C244, January 2019.
Mathematical models that couple partial differential equations (PDEs) and spatially distributed ordinary differential equations (ODEs) arise...

By Raimund Bürger, Paul E. Méndez, and Ricardo Ruiz-Baier
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1318-1343, January 2019.
A stationary Navier--Stokes--Brinkman problem coupled to a system of advection-diffusion equations serves as a model...

By Wansheng Wang, Yingzi Chen, and Hua Fang
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1289-1317, January 2019.
In this paper the implicit-explicit (IMEX) two-step backward differentiation formula (BDF2) method with variable step-size, due...

By Pierson T. Guthrey and James A. Rossmanith
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1263-1288, January 2019.
Discontinuous Galerkin (DG) methods for hyperbolic partial differential equations with explicit time-stepping schemes, such as...

By Yujie Liu, Junping Wang, and Qingsong Zou
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1238-1262, January 2019.
This article presents a new finite element method for convection-diffusion equations by enhancing the continuous finite...

By Kevin R. Green, Tanner A. Bohn, and Raymond J. Spiteri
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page C194-C218, January 2019.
The speed of mathematical function evaluations can significantly contribute to the overall performance of numerical simulations....

By Yiqiu Dong, Per Christian Hansen, Michiel E. Hochstenbach, and Nicolai André Brogaard Riis
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1822-A1839, January 2019.
We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned...

By Christoph Hofer, Ulrich Langer, Martin Neumüller, and Rainer Schneckenleitner
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1793-A1821, January 2019.
We propose and investigate new robust preconditioners for space-time Isogeometric Analysis (IgA) of parabolic evolution problems....

By Dylan Dronnier and Florent Renac
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 750-772, January 2019.
In this work, we use an adjoint-weighted residuals method for the derivation of an a posteriori model...

By Saad Qadeer and Jon A. Wilkening
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1183-1204, January 2019.
The computation of the Dirichlet--Neumann operator for the Laplace equation is the primary challenge for the...

By Sergio Amat, Juan Ruiz, and Chi-wang Shu
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1205-1237, January 2019.
This paper is devoted to the construction and analysis of new nonlinear optimal weights for weighted...

By Andrew M. Bradley, Peter A. Bosler, Oksana Guba, Mark A. Taylor, and Gregory A. Barnett
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page C161-C193, January 2019.
Atmospheric tracer transport is a computationally demanding component of the atmospheric dynamical core of weather and...

By Kevin Carlberg, Lukas Brencher, Bernard Haasdonk, and Andrea Barth
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B466-B496, January 2019.
This work proposes a data-driven method for enabling the efficient, stable time-parallel numerical solution of systems...

By Michael Feischl
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1124-1157, January 2019.
We prove that the a standard adaptive algorithm for the Taylor--Hood discretization of the stationary...

By Anthony P. Austin, Zichao WendyDi, Sven Leyffer, and Stefan M. Wild
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B497-B521, January 2019.
Tomography can be used to reveal internal properties of a 3D object using any penetrating wave....

By Zheng Sun and Chi-wang Shu
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1158-1182, January 2019.
Motivated by studies on fully discrete numerical schemes for linear hyperbolic conservation laws, we present a...

By Harri Hakula, Tri Quach, and Antti Rasila
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1753-A1776, January 2019.
The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and...

By Loic Giraldi and Anthony Nouy
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1777-A1792, January 2019.
This paper presents a weakly intrusive strategy for computing a low-rank approximation of the solution of...

By Hailiang Liu, Robin Gröpler, and Gerald Warnecke
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B448-B465, January 2019.
We design, analyze, and numerically validate a novel discontinuous Galerkin (DG) method for solving the coagulation-fragmentation...

By Murat Manguoğlu and Volker Mehrmann
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1733-A1752, January 2019.
We propose a two-level nested preconditioned iterative scheme for solving sparse linear systems of equations...

By Adam J. Crowder, Catherine E. Powell, and Alex Bespalov
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1681-A1705, January 2019.
Partial differential equations (PDEs) with inputs that depend on infinitely many parameters pose serious theoretical and...

By Léopold Cambier and Eric Darve
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1652-A1680, January 2019.
Integral equations are commonly encountered when solving complex physical problems. Their discretization leads to a dense...

By Sabine Le Borne and Michael Wende
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1706-A1732, January 2019.
Scattered data interpolation using conditionally positive definite radial basis functions typically leads to large, dense, and...

By Jinzhi Huang and Zhongxiao Jia
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1574-A1603, January 2019.
We make a convergence analysis of the harmonic and refined harmonic extraction versions of Jacobi--Davidson SVD...

By Matt Jacobs, Flavien Léger, Wuchen Li, and Stanley Osher
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1100-1123, January 2019.
We present a primal-dual method to solve $L^1$-type nonsmooth optimization problems independently of the grid size....

By Zhanjing Tao, Anqi Chen, Mengping Zhang, and Yingda Cheng
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1626-A1651, January 2019.
In this paper, we develop a sparse grid central discontinuous Galerkin (CDG) scheme for linear hyperbolic...

By Jennifer A. Scott and Miroslav Tůma
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1604-A1625, January 2019.
Large-scale linear least-squares problems arise in a wide range of practical applications. In some cases, the...

By Filip Ivančić, Tony W.-H. Sheu, and Maxim Solovchuk
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1548-A1573, January 2019.
The aim of this paper is to introduce a finite element formulation within an arbitrary Lagrangian...

By Qian Zhang, Lixiu Wang, and Zhimin Zhang
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1527-A1547, January 2019.
In this paper, we construct some $H(curl^2)$-conforming finite elements on a rectangle (a parallelogram)...

By Massimo Bernaschi, Mauro Carrozzo, Andrea Franceschini, and Carlo Janna
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page C139-C160, January 2019.
One of the most time-consuming tasks in the procedures for the numerical study of PDEs is...

By M. Paul Laiu, Martin Frank, and Cory D. Hauck
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1500-A1526, January 2019.
We present a positive- and asymptotic-preserving numerical scheme for solving linear kinetic transport equations that relax...

By Rüdiger Verfürth and Pietro Zanotti
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1082-1099, January 2019.
We present a modification of the Crouzeix--Raviart discretization of the Stokes equations in arbitrary dimension which...

By Shuhao Cao and Long Chen
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1058-1081, January 2019.
A refined a priori error analysis of the lowest-order (linear) nonconforming virtual element method (VEM) for...

By Andrea Tosin and Mattia Zanella
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 716-749, January 2019.
We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the...

By Anthony M. DeGennaro and Nathan M. Urban
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1482-A1499, January 2019.
The Koopman operator is a linear, infinite-dimensional operator that governs the dynamics of system observables; extended...

By V. Dobrev, T. Kolev, C. S. Lee, V. Tomov, and P. S. Vassilevski
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page B425-B447, January 2019.
We propose a unified algebraic approach for the practical application and preconditioning of static condensation and...

By Xue-lei Lin, Michael K. Ng, and Hai-Wei Sun
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 997-1019, January 2019.
In this paper, we study the Crank--Nicolson alternative direction implicit (ADI) method for two-dimensional Riesz...

By Vladimir Mityushev and Piotr Drygaś
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 696-715, January 2019.
We study the mechanical properties of unidirectional fibers with circular section embedded into a matrix by the...

By Johannes Eilinghoff, Tobias Jahnke, and Roland Schnaubelt
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1036-1057, January 2019.
We investigate an alternating direction implicit scheme for the time-integration of the Maxwell equations with...

By Lise-Marie Imbert-Gerard, Felipe Vico, Leslie Greengard, and Miguel Ferrando
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 1020-1035, January 2019.
We present a collection of well-conditioned integral equation methods for the solution of electrostatic, acoustic, or...

By Bernhard Schmitzer
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1443-A1481, January 2019.
Scaling algorithms for entropic transport-type problems have become a very popular numerical method, encompassing Wasserstein barycenters,...

By Andrea Bonito and Alan Demlow
SIAM Journal on Numerical Analysis, Volume 57, Issue 3, Page 973-996, January 2019.
We prove new a posteriori error estimates for surface finite element methods (SFEMs). SFEMs approximate...

By Timo Betcke, Erik Burman, and Matthew W. Scroggs
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1357-A1384, January 2019.
We consider boundary element methods where the Calderón projector is used for the system matrix and...

By Patrick R. Amestoy, Alfredo Buttari, Jean-Yves L'Excellent, and Theo A. Mary
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1414-A1442, January 2019.
Matrices possessing a low-rank property arise in numerous scientific applications. This property can be exploited...

By Prashant Kumar, Carmen Rodrigo, Francisco J. Gaspar, and Cornelis W. Oosterlee
SIAM Journal on Scientific Computing, Volume 41, Issue 3, Page A1385-A1413, January 2019.
In this paper, we propose a novel nonstandard local Fourier analysis (LFA) variant for accurately predicting...

By Kelsey L. DiPietro and Alan E. Lindsay
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1331-A1356, January 2019.
We present a finite difference method for mesh generation and adaptation with application to the solution...

By Marc Aurèle Gilles and Alex Townsend
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 899-924, January 2019.
Analogues of the conjugate gradient method, minimum residual method, and generalized minimum residual method are derived...

By Brittany Froese Hamfeldt
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 945-971, January 2019.
It is well known that the quadratic-cost optimal transportation problem is formally equivalent to the second...

By Theodoros Manikas and Anastasia Papavasiliou
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 675-695, January 2019.
We construct a novel estimator for the diffusion coefficient of the limiting homogenized equation, when observing the...

By Jan Glaubitz and Anne Gelb
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1304-A1330, January 2019.
This paper investigates the use of $\ell^1$ regularization for solving hyperbolic conservation laws based on high...

By Ph. Chartier, M. Lemou, F. Méhats, and G. Vilmart
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 925-944, January 2019.
In the analysis of highly oscillatory evolution problems, it is commonly assumed that a single frequency...

By Qiang Du, Lili Ju, Xiao Li, and Zhonghua Qiao
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 875-898, January 2019.
The nonlocal Allen--Cahn equation, a generalization of the classic Allen--Cahn equation by replacing the Laplacian with...

By Fredrik Hellman and Axel Målqvist
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 650-674, January 2019.
We consider a sequence of elliptic partial differential equations (PDEs) with different but similar rapidly varying coefficients....

By Lindsay Martin and Yen-Hsi R. Tsai
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 620-649, January 2019.
In this paper, we present a new multiscale domain decomposition algorithm for computing solutions of static Eikonal...

By Wei Leng and Lili Ju
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1252-A1277, January 2019.
In this paper, we propose and analyze an additive domain decomposition method (DDM) for solving the...

By Mark Ainsworth, Ozan Tugluk, Ben Whitney, and Scott Klasky
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1278-A1303, January 2019.
We develop a technique for multigrid adaptive reduction of data (MGARD). Special attention is given to...

By Zhijian He
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 854-874, January 2019.
This paper studies the rate of convergence for conditional quasi--Monte Carlo (QMC), which is a counterpart...

By Mircea Grigoriu
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1228-A1251, January 2019.
A novel class of models, referred to as polynomial chaos (PC) translation models, is developed for...

By Konstantinos Chrysafinos, Efthymios N. Karatzas, and Dimitrios Kostas
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 828-853, January 2019.
Space-time approximations of the Brusselator system of parabolic PDEs are examined. The schemes under consideration are...

By J. A. Mackenzie, M. Nolan, C. F. Rowlatt, and R. H. Insall
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1170-A1200, January 2019.
We propose a novel adaptive moving mesh method for the numerical solution of a forced curve...

By Imran H. Biswas, Indranil Chowdhury, and Espen R. Jakobsen
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 799-827, January 2019.
We study monotone numerical schemes for nonlocal Isaacs equations, the dynamic programming equations of stochastic differential...

By Martin Almquist, Siyang Wang, and Jonatan Werpers
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1201-A1227, January 2019.
We study nonconforming grid interfaces for summation-by-parts finite difference methods applied to partial differential equations with...

By Martin J. Gander, Yao-Lin Jiang, and Bo Song
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1148-A1169, January 2019.
The parareal Schwarz waveform relaxation algorithm is a new space-time parallel algorithm for the solution of...

By Guanglian Li
Multiscale Modeling & Simulation, Volume 17, Issue 2, Page 593-619, January 2019.
This work is concerned with the rigorous analysis of the generalized multiscale finite element methods (GMsFEMs) for...

By Ji Soo Ahn and Michael J. Bluck
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B396-B424, January 2019.
This paper presents an isogeometric (IGA) solver for steady-state incompressible magnetohydrodynamics (MHD). MHD is the study...

By Chupeng Ma, Liqun Cao, and Yanping Lin
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1091-A1120, January 2019.
In this paper, we discuss the multiscale computations of the time-dependent Maxwell--Schrödinger system with rapidly oscillating...

By Scott Congreve, Joscha Gedicke, and Ilaria Perugia
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1121-A1147, January 2019.
This paper presents an $hp$ a posteriori error analysis for the 2D Helmholtz equation that is...

By Ellya L. Kawecki
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 751-778, January 2019.
In this paper we present and analyze a discontinuous Galerkin finite element method (DGFEM) for the...

By Matthew J. Colbrook, Thanasis S. Fokas, and Parham Hashemzadeh
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1066-A1090, January 2019.
Recent work has given rise to a novel and simple numerical technique for solving elliptic boundary...

By Binjie Li, Hao Luo, and Xiaoping Xie
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 779-798, January 2019.
This paper establishes the convergence of a time-stepping scheme for the time fractional diffusion problems with...

By S. Geevers, W. A. Mulder, and J. J. W. van der Vegt
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1041-A1065, January 2019.
We present new and efficient quadrature rules for computing the stiffness matrices of mass-lumped tetrahedral elements...

By Lingfei Wu, Fei Xue, and Andreas Stathopoulos
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A1013-A1040, January 2019.
The Lanczos method is one of the standard approaches for computing a few eigenpairs of a...

By Elias Jarlebring
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A989-A1012, January 2019.
Broyden's method is a general method commonly used for nonlinear systems of equations when very little...

By Chaoyu Quan, Benjamin Stamm, and Yvon Maday
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B320-B350, January 2019.
In this paper, a domain decomposition method for the Poisson--Boltzmann solvation model that is widely used...

By Ludovic Boilevin-Kayl, Miguel A. Fernández, and Jean-Frédéric Gerbeau
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B351-B374, January 2019.
Fictitious domain approximations of fluid-structure interaction problems are generally discretized in time using strongly coupled...

By Martin J. Gander, Iryna Kulchytska-Ruchka, Innocent Niyonzima, and Sebastian Schöps
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B375-B395, January 2019.
The Parareal algorithm allows one to solve evolution problems exploiting parallelization in time. Its convergence and...

By Ricardo H. Nochetto and Dimitrios Ntogkas
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B295-B319, January 2019.
We propose an extension to our monotone and convergent method for the Monge--Ampère equation in dimension...

By Milinda Fernando, David Neilsen, Hyun Lim, Eric Hirschmann, and Hari Sundar
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page C97-C138, January 2019.
We present a highly scalable framework that targets problems of interest to the numerical relativity and...

By Jan Friedrich and Oliver Kolb
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A973-A988, January 2019.
Central WENO schemes are a natural candidate for higher-order schemes for nonlocal conservation laws, since the...

By Trygve Bærland, Miroslav Kuchta, and Kent-Andre Mardal
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A948-A972, January 2019.
Coupled multiphysics problems often give rise to interface conditions naturally formulated in fractional Sobolev spaces. Here,...

By Wangtao Lu, Ya Yan Lu, and Dawei Song
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B274-B294, January 2019.
Numerical mode matching (NMM) methods are widely used for analyzing wave propagation and scattering in structures...

By Julien Roussel and Gabriel Stoltz
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 552-591, January 2019.
We propose a general variance reduction strategy to compute averages with diffusion processes. Our approach does not...

By Marina Fischer
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A927-A947, January 2019.
We consider a linear inhomogeneous fractional evolution equation which is obtained from a Cauchy problem by...

By Chuchu Chen, Jialin Hong, and Lihai Ji
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 728-750, January 2019.
In this paper, we propose a semi-implicit Euler scheme to discretize the stochastic Maxwell equations with...

By Kathrin Smetana, Olivier Zahm, and Anthony T. Patera
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A900-A926, January 2019.
We propose a randomized a posteriori error estimator for reduced order approximations of parametrized (partial) differential...

By Chuchu Chen, Jialin Hong, and Lihai Ji
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 702-727, January 2019.
The paper concerns semidiscretizations in time of stochastic Maxwell equations driven by additive noise. We show...

By Arash Sarshar, Steven Roberts, and Adrian Sandu
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A816-A847, January 2019.
Multirate time integration methods apply different step sizes to resolve different components of a system based...

By Weizhu Bao, Rémi Carles, Chunmei Su, and Qinglin Tang
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 657-680, January 2019.
We present a regularized finite difference method for the logarithmic Schrödinger equation (LogSE) and establish its...

By Songting Luo
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A877-A899, January 2019.
We present asymptotic methods for numerically solving the time-dependent Schrödinger equation with time-dependent potentials. The methods...

By Jie Du, Cheng Wang, Chengeng Qian, and Yang Yang
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B250-B273, January 2019.
In this paper, we develop high-order bound-preserving discontinuous Galerkin (DG) methods for multispecies and multireaction chemical...

By Daniel Kressner, Stefano Massei, and Leonardo Robol
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A848-A876, January 2019.
Linear matrix equations, such as the Sylvester and Lyapunov equations, play an important role in various...

By Kaïs Ammari and Carlos Castro
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 681-701, January 2019.
We propose a projection method to approximate the spectrum of a dissipative system which is a...

By Selin S. Aslan, Eric de Sturler, and Misha E. Kilmer
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B229-B249, January 2019.
In partial differential equation-based (PDE-based) inverse problems with many measurements, many large-scale discretized PDEs must be...

By Thomas Blanc
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 531-551, January 2019.
The numerical resolution of parabolic problems with terms is a challenge. When the stiff terms become dominant,...

By Toshihiro Yamada
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 563-591, January 2019.
This paper provides an arbitrary high order weak approximation scheme for multidimensional Stratonovich stochastic differential equations...

By Sara Pollock, Leo G. Rebholz, and Mengying Xiao
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 615-637, January 2019.
We propose, analyze, and test Anderson-accelerated Picard iterations for solving the incompressible Navier--Stokes equations (NSE). ...

By Nico Vervliet, Otto Debals, and Lieven De Lathauwer
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A789-A815, January 2019.
Decomposing tensors into simple terms is often an essential step toward discovering and understanding underlying processes...

By Dietmar Gallistl and Endre Süli
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 592-614, January 2019.
A mixed finite element approximation of $H^2$ solutions to the fully nonlinear Hamilton--Jacobi--Bellman equation, with coefficients...

By Łukasz Płociniczak
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 638-656, January 2019.
This paper deals with a construction and convergence analysis of a numerical scheme devised for solving...

By Thomas J. Murphy and Noel J. Walkington
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 527-546, January 2019.
Implicit Euler approximations of the equations governing the porous flow of two immiscible incompressible fluids are...

By Art Owen
SIAM Journal on Numerical Analysis, Volume 57, Issue 2, Page 547-562, January 2019.
This paper considers two notions of effective dimension for quadrature in weighted pre-Sobolev spaces with dominating...

By Jean-Luc Guermond and Peter Minev
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A770-A788, January 2019.
In this paper we develop a high-order time stepping technique for the incompressible Navier--Stokes equations. The...

By Thierry Goudon and Alexis F. Vasseur
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 507-530, January 2019.
We go back to the analysis of the transport of (classical or quantum) particles in time-dependent...

By J. J. Lee, E. Piersanti, K.-A. Mardal, and M. E. Rognes
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A722-A747, January 2019.
In this paper, we present and analyze a new mixed finite element formulation of a general...

By C. Klingenberg, G. Puppo, and M. Semplice
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A695-A721, January 2019.
This work presents arbitrary high order well balanced finite volume schemes for the Euler equations with...

By Maurice S. Fabien, Matthew G. Knepley, Richard T. Mills, and Béatrice M. Rivière
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page C73-C96, January 2019.
We present a parallel computing strategy for a hybridizable discontinuous Galerkin (HDG) nested geometric multigrid (GMG)...

By Ruslan Shaydulin, Jie Chen, and Ilya Safro
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 482-506, January 2019.
Multilevel partitioning methods that are inspired by principles of multiscaling are the most powerful practical hypergraph partitioning...

By Juan Kuntz, Philipp Thomas, Guy-Bart Stan, and Mauricio Barahona
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page A748-A769, January 2019.
We introduce the exit time finite state projection (ETFSP) scheme, a truncation-based method that yields approximations...

By Chang-Ock Lee, Eun-Hee Park, and Jongho Park
SIAM Journal on Scientific Computing, Volume 41, Issue 2, Page B205-B228, January 2019.
We consider a finite element discretization for the dual Rudin--Osher--Fatemi model using a Raviart--Thomas basis for...

By Jennifer Bryson, Hongkai Zhao, and Yimin Zhong
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 460-481, January 2019.
Random fields are commonly used for modeling of spatially (or timely) dependent stochastic processes. In this...

By Fabrice Deluzet and Jacek Narski
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 434-459, January 2019.
A new two field iterated asymptotic-preserving method is introduced for the numerical resolution of strongly anisotropic elliptic...

By Amparo Gil, Javier Segura, and Nico M. Temme
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A668-A693, January 2019.
Asymptotic approximations to the zeros of Jacobi polynomials are given, with methods to obtain the coefficients...

By Samuel Quaegebeur, Sivakumaran Nadarajah, Farshad Navah, and Philip Zwanenburg
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A643-A667, January 2019.
Recovering some prominent high-order approaches such as the discontinuous Galerkin or the spectral difference methods,...

By Wenbin Chen, Xiaoming Wang, Yue Yan, and Zhuying Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 495-525, January 2019.
We present and analyze a second order in time variable step BDF2 numerical scheme for the...

By Daniele Boffi and Lucia Gastaldi
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 478-494, January 2019.
In this paper we prove the optimal convergence of a standard adaptive scheme based on edge...

By Assyr Abdulle and Andrea Di Blasio
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 399-433, January 2019.
A new numerical method based on numerical homogenization and model order reduction is introduced for the solution...

By Anders Bernland, Eddie Wadbro, and Martin Berggren
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B181-B204, January 2019.
A compression driver is an electro-acoustic transducer with considerably higher efficiency than direct radiating loudspeakers, thanks...

By Feng Bao, Lin Mu, and Jin Wang
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 458-477, January 2019.
In this paper, we present a simple a posteriori error estimate for the weak Galerkin...

By Kathrin Glau, Mirco Mahlstedt, and Christian Pötz
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B153-B180, January 2019.
We introduce a new method to price American options based on Chebyshev interpolation. In each step...

By Andreas Neuenkirch, Michaela Szölgyenyi, and Lukasz Szpruch
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 378-403, January 2019.
We study the strong approximation of stochastic differential equations with discontinuous drift coefficients and (possibly) degenerate...

By Bruno Lang
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page C52-C72, January 2019.
We present a method for reducing the generalized eigenvalue problem $A x = B x \lambda$...

By Mark Ainsworth and Shuai Jiang
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 355-377, January 2019.
The problem of preconditioning the $p$-version mass matrix on meshes of (possibly curvilinear) triangular elements in...

By Philipp Grohs, Hanne Hardering, Oliver Sander, and Markus Sprecher
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 404-428, January 2019.
We introduce a novel type of approximation spaces for functions with values in a nonlinear manifold....

By Meurig T. Gallagher, Debajyoti Choudhuri, and David J. Smith
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B139-B152, January 2019.
The method of regularized stokeslets is a powerful numerical approach to solve the Stokes flow equations...

By Simon Baumstark and Katharina Schratz
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 429-457, January 2019.
We present a novel class of oscillatory integrators for the Klein--Gordon--Zakharov system which are...

By Julia Brunken, Kathrin Smetana, and Karsten Urban
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A592-A621, January 2019.
We consider ultraweak variational formulations for (parametrized) linear first order transport equations in time and/or space....

By Florin Dobrian, Mahantesh Halappanavar, Alex Pothen, and Ahmed Al-Herz
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A566-A591, January 2019.
We consider the maximum vertex-weighted matching problem (MVM), in which nonnegative weights are assigned to the...

By Jonathan Youett, Oliver Sander, and Ralf Kornhuber
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B114-B138, January 2019.
We present a globally convergent method for the solution of frictionless large deformation contact problems for...

By Yan Luo and Zhu Wang
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A622-A642, January 2019.
A first-order, Monte Carlo ensemble method has been recently introduced for solving parabolic equations with random...

By Ali Bouzekri and Mourad Sini
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 344-398, January 2019.
We deal with the electromagnetic wave propagation in the harmonic regime. We derive the Foldy--Lax approximation of...

By Baptiste Fedele, Claudia Negulescu, and Stefan Possanner
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 307-343, January 2019.
We develop an asymptotic-preserving scheme to solve evolution problems containing stiff transport terms. This scheme is based...

By Alexander J. Howse, Hans De Sterck, Robert D. Falgout, Scott MacLachlan, and Jacob Schroder
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A538-A565, January 2019.
We apply a multigrid reduction-in-time (MGRIT) algorithm to hyperbolic partial differential equations in one spatial dimension....

By Andrew Giuliani and Lilia Krivodonova
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A508-A537, January 2019.
We propose a second order limiter for the discontinuous Galerkin method applied to hyperbolic conservation laws....

By Ryan Viertel and Braxton Osting
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A452-A479, January 2019.
A generalization of vector fields, referred to as $N$-direction fields or cross fields when $N =...

By Eugenio Aulisa, Giacomo Capodaglio, and Guoyi Ke
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A480-A507, January 2019.
We present a novel approach for the construction of basis functions to be employed in selective...

By Yunlong Yu, Xingding Chen, and Guangwei Yuan
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B93-B113, January 2019.
We propose a cell-centered nonlinear finite volume scheme for the nonequilibrium three-temperature equations, where both the...

By Li Wang and Bokai Yan
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A422-A451, January 2019.
We design an asymptotic preserving (AP) scheme for the linear kinetic equation with anisotropic scattering that...

By Huoyuan Duan, Zhijie Du, Wei Liu, and Shangyou Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 320-354, January 2019.
New inf-sup stable mixed elements are proposed and analyzed for solving the Maxwell equations in terms...

By Andreas Veeser and Pietro Zanotti
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 266-292, January 2019.
We devise variants of classical nonconforming methods for symmetric elliptic problems. These variants differ from the...

By Arbaz Khan, Catherine E. Powell, and David J. Silvester
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A402-A421, January 2019.
We consider the nearly incompressible linear elasticity problem with an uncertain spatially varying Young's modulus. The...

By Lars Schmutz and Thomas P. Wihler
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 293-319, January 2019.
In this paper we investigate the $L^\infty$-stability of fully discrete approximations of abstract linear parabolic partial...

By Hong-lin Liao, William McLean, and Jiwei Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 218-237, January 2019.
We consider a class of numerical approximations to the Caputo fractional derivative. Our assumptions permit the...

By Thomas Y. Hou, De Huang, Ka Chun Lam, and Ziyun Zhang
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 260-306, January 2019.
In this paper we propose a new iterative method to hierarchically compute a relatively large number of...

By Axel Klar and Sudarshan Tiwari
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 233-259, January 2019.
A multiscale meshfree particle method for macroscopic mean field approximations of generalized interacting particle models...

By Yu Du, Lu Zhang, and Zhimin Zhang
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 238-265, January 2019.
In this paper we study the convergence property of a spatial discontinuous Galerkin method for wave...

By Colin Cotter, Dan Crisan, Darryl D. Holm, Wei Pan, and Igor Shevchenko
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 192-232, January 2019.
We present a numerical investigation of stochastic transport in ideal fluids. According to Holm [Proc. A, 471...

By Ting Wang and Petr Plecháč
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 192-217, January 2019.
In this paper we study Monte Carlo estimators based on the likelihood ratio approach for steady-state...

By Anil Damle, Antoine Levitt, and Lin Lin
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 167-191, January 2019.
Wannier functions provide a localized representation of spectral subspaces of periodic Hamiltonians and play an important role...

By Douglas N. Arnold, Guy David, Marcel Filoche, David Jerison, and Svitlana Mayboroda
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B69-B92, January 2019.
The approximation of the eigenvalues and eigenfunctions of an elliptic operator is a key computational task...

By Haodi Chen, Genggeng Huang, and Xu-Jia Wang
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 173-191, January 2019.
In this paper, we establish convergence rate estimates for convex solutions to the Dirichlet problem of...

By Matthias Bollhöfer, Aryan Eftekhari, Simon Scheidegger, and Olaf Schenk
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A380-A401, January 2019.
The estimation of large sparse inverse covariance matrices is a ubiquitous statistical problem in many application...

By Veselin Dobrev, Patrick Knupp, Tzanio Kolev, Ketan Mittal, and Vladimir Tomov
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B50-B68, January 2019.
We describe a framework for controlling and improving the quality of high-order finite element meshes based...

By Martin Neumüller and Iain Smears
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page C28-C51, January 2019.
We present original time-parallel algorithms for the solution of the implicit Euler discretization of general linear...

By Roberta Bianchini, Laurent Gosse, and Enrique Zuazua
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 137-166, January 2019.
Localization phenomena (sometimes called “flea on the elephant'') for the operator $L^\varepsilon=-\varepsilon^2 \Delta u + p(\mathbf{x}) u$,...

By Yingzhou Li and Lin Lin
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 92-116, January 2019.
Spectral projectors of second order differential operators play an important role in quantum physics and other scientific...

By Krithika Manohar, Eurika Kaiser, Steven L. Brunton, and J. Nathan Kutz
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 117-136, January 2019.
The characterization of intermittent, multiscale, and transient dynamics using data-driven analysis remains an open challenge. We demonstrate...

By Aditya Devarakonda, Kimon Fountoulakis, James Demmel, and Michael W. Mahoney
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page C1-C27, January 2019.
Primal and dual block coordinate descent methods are iterative methods for solving regularized and unregularized optimization...

By Xiaojun Chen and C. T. Kelley
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A365-A379, January 2019.
The Energy Direct Inversion on the Iterative Subspace (EDIIS) algorithm was designed to globalize Anderson acceleration,...

By Gerhard Kitzler and Joachim Schöberl
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B27-B49, January 2019.
We present a spectral Petrov--Galerkin method for the Boltzmann collision operator. We expand the density distribution...

By Martin Campos-Pinto, Frédérique Charles, and Bruno Després
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 148-172, January 2019.
We propose several algorithms for positive polynomial approximation. The main tool is a novel iterative method...

By P. Geldermans and A. Gillman
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A292-A315, January 2019.
This manuscript presents an adaptive high order discretization technique for elliptic boundary value problems. The technique...

By Hwi Lee and Qiang Du
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 127-147, January 2019.
Motivated by the smoothed particle hydrodynamics (SPH), we present nonlocal models for linear advection with a...

By Chuchu Chen and Di Liu
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 70-95, January 2019.
In order to inherit numerically the ergodicity of the chemical reaction system with delays, we propose...

By Yonglin Li and Haijun Wu
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 96-126, January 2019.
The Helmholtz scattering problem with high wave number is truncated by the perfectly matched layer (PML)...

By Patrick R. Amestoy, Jean-Yves L'Excellent, and Gilles Moreau
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A269-A291, January 2019.
The cost of the solution phase in sparse direct methods is sometimes critical. It can be...

By Thierry A. Mara, Marwan Fahs, Qian Shao, and Anis Younes
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A316-A338, January 2019.
Random variables characterized by a joint probability distribution function (jpdf) defined in a Bayesian framework are...

By Felix Kwok and Benjamin W. Ong
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A339-A364, January 2019.
Schwarz waveform relaxation (SWR) methods have been developed to solve a wide range of diffusion-dominated and...

By Ben Adcock, Anne Gelb, Guohui Song, and Yi Sui
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A246-A268, January 2019.
Much research has recently been devoted to sparse signal recovery and image reconstruction from multiple measurement...

By Jacob Price and Panos Stinis
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 68-91, January 2019.
We examine the challenging problem of constructing reduced models for the long time prediction of systems where...

By Zheng Liu, Rongjie Lai, Huayan Zhang, and Chunlin Wu
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page B1-B26, January 2019.
Recovering high quality surfaces from noisy triangulated surfaces is a fundamental important problem in geometry processing....

By Martin J. Gander, Laurence Halpern, Johann Rannou, and Juliette Ryan
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A220-A245, January 2019.
With the advent of very large scale parallel computers, it has become more and more important...

By Josef Dick, Takashi Goda, and Takehito Yoshiki
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 44-69, January 2019.
We study multivariate numerical integration of smooth functions in weighted Sobolev spaces with dominating mixed smoothness...

By Victor A. Paludetto Magri, Andrea Franceschini, and Carlo Janna
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A190-A219, January 2019.
The numerical simulation of modern engineering problems can easily incorporate millions or even billions of unknowns....

By Fatemeh Mohammadi, Carmen Arévalo, and Claus Führer
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 27-43, January 2019.
A new formulation of explicit multistep methods allows variable step-sizes by construction. This formulation can be...

By Derek Driggs, Stephen Becker, and Aleksandr Aravkin
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A163-A189, January 2019.
We introduce a reformulation of regularized low-rank recovery models to take advantage of GPU, multiple CPU,...

By Slimane Adjerid and Kihyo Moon
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A139-A162, January 2019.
We present an immersed discontinuous Galerkin finite element method on Cartesian meshes for two dimensional acoustic...

By David F. Anderson, Desmond J. Higham, Saul C. Leite, and Ruth J. Williams
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 1-30, January 2019.
Stochastic effects play an important role in modeling the time evolution of chemical reaction systems in fields...

By Liliana Borcea, Josselin Garnier, and Knut Solna
Multiscale Modeling & Simulation, Volume 17, Issue 1, Page 31-67, January 2019.
We present a study of sound wave propagation in a time dependent random medium and an application...

By Alberto Paganini and Kevin Sturm
SIAM Journal on Numerical Analysis, Volume 57, Issue 1, Page 1-26, January 2019.
We construct a space of vector fields that are normal to differentiable curves in the plane....

By Seher Acer, Enver Kayaaslan, and Cevdet Aykanat
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A83-A108, January 2019.
In this paper, the aim is to symmetrically permute the rows and columns of a given...

By Nicholas J. Higham and Theo Mary
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A59-A82, January 2019.
We consider ill-conditioned linear systems $Ax =$ b that are to be solved iteratively, and assume...

By Paola F. Antonietti, Chiara Facciolà, Alessandro Russo, and Marco Verani
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A109-A138, January 2019.
We present a numerical approximation of Darcy's flow through a fractured porous medium which employs discontinuous...

By Laurence Halpern, Ludovic Métivier, Jeffrey Rauch, and Juliette Ryan
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A1-A25, January 2019.
We present an example of Bérenger's method for a problem with variable coefficients at the interface...

By Youngsoo Choi and Kevin Carlberg
SIAM Journal on Scientific Computing, Volume 41, Issue 1, Page A26-A58, January 2019.
This work proposes a space--time least-squares Petrov--Galerkin (ST-LSPG) projection method for model reduction of nonlinear dynamical...

By James P. Crutchfield Computational mechanics defines pattern and structure with the goal of detecting and quantifying the organization of complex systems. The field developed from methods ...

By Jeff Bezanson , Alan Edelman , Stefan Karpinski , and Viral B. Shah Julia, an advanced dynamic programming language for numerical computing, has solved the “two-language problem” by ...

By Matthew R. Francis In 2006, Netflix hosted a competition to improve its algorithm for providing movie recommendations to customers based on their past choices. The DVD rental and video ...

...

By Michael Ferris and Andy Philpott Despite ongoing reluctance by some governments to respond to anthropogenic climate change, many countries are pursuing policies to generate energy with ...

The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.

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

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

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

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

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

Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.

Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.

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

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

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

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

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

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

The SIAM Outstanding Paper Prizes bring attention to papers published in SIAM journals. Three awards are made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

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