By Qiang Du, Yiqi Gu, Haizhao Yang, and Chao Zhou
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 2014-2045, January 2022.
Identifying hidden dynamics from observed data is a significant and challenging task in a wide range...

...

Riverwoods, , United States

Philadelphia, PA, United States

[email protected], CT, United States

Houston, TX, United States

Albuquerque, NM, United States

Albuquerque, NM, United States

Remote, , United States

Honolulu, HI, United States

IL, United States

By Raphael Watschinger, Michal Merta, Günther Of, and Jan Zapletal
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page C320-C345, August 2022.
We present a novel approach to the parallelization of the parabolic fast multipole method for a...

By Hao-Jun Michael Shi, Yuchen Xie, Melody Qiming Xuan, and Jorge Nocedal
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2302-A2321, August 2022.
A common approach for minimizing a smooth nonlinear function is to employ finite-difference approximations to the...

By Verónica Anaya, Arbaz Khan, David Mora, and Ricardo Ruiz-Baier
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B964-B995, August 2022.
We develop the a posteriori error analysis of three mixed finite element formulations for rotation-based equations...

By Elizabeth Newman, Julianne Chung, Matthias Chung, and Lars Ruthotto
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2322-A2348, August 2022.
Deep neural networks (DNNs) have shown their success as high-dimensional function approximators in many applications; however,...

By Elizabeth Newman, Julianne Chung, Matthias Chung, and Lars Ruthotto
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2322-A2348, August 2022.
Deep neural networks (DNNs) have shown their success as high-dimensional function approximators in many applications; however,...

By Chun Liu, Cheng Wang, and Yiwei Wang
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2276-A2301, August 2022.
A second-order accurate in time, positivity-preserving, and unconditionally energy stable operator splitting scheme is proposed and...

By Bin Han and Michelle Michelle
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1985-2013, January 2022.
Numerically solving the 2D Helmholtz equation is widely known to be very difficult largely due to...

By Mark Ainsworth and Yeonjong Shin
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2253-A2275, August 2022.
We propose a novel training method for multivariate two-layer rectified neural networks. The core mechanism is...

By Jisheng Kou, Xiuhua Wang, and ShiGui Du
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B938-B963, August 2022.
Taking rock compressibility into consideration brings up a quite challenging issue to modeling and numerical...

By Long Chen and Xuehai Huang
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1932-1961, January 2022.
Several div-conforming and divdiv-conforming finite elements for symmetric tensors on simplexes in arbitrary dimension are constructed...

By Lili Ju, Xiao Li, and Zhonghua Qiao
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1905-1931, January 2022.
The energy dissipation law and the maximum bound principle (MBP) are two important physical features of...

By Weizhu Bao, Yongyong Cai, and Yue Feng
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1962-1984, January 2022.
We establish improved uniform error bounds on a second-order Strang time-splitting method which is equivalent to...

By Qifeng Zhang, Lingling Liu, and Zhimin Zhang
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2226-A2252, August 2022.
In this paper, we develop, analyze and numerically test an invariant-preserving three-level linearized implicit difference scheme...

By Yael Azulay and Eran Treister
SIAM Journal on Scientific Computing, Ahead of Print.
In this paper, we present a data-driven approach to iteratively solve the discrete heterogeneous Helmholtz equation at high wavenumbers. In our...

By Gabriele Boncoraglio and Charbel Farhat
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2176-A2203, August 2022.
This paper introduces the concept of a database of piecewise-global, nonlinear, projection-based reduced-order models and intertwines...

By Kexin Li, Hongwei Li, Raymond H. Chan, and Youwei Wen
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2204-A2225, August 2022.
The reconstruction of a low-rank matrix from its noisy observation finds its usage in many applications....

By Peter J. Noble and Tobias Weinzierl
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2121-A2149, August 2022.
Simulations of many rigid bodies colliding with each other sometimes yield particularly interesting results if the...

By Kyongmin Yeo, Zan Li, and Wesley Gifford
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2150-A2175, August 2022.
We present a deep learning model for data-driven simulations of random dynamical systems without a distributional...

By Charlotte Perrin and Khaled Saleh
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1824-1852, January 2022.
In this paper, we analyze two numerical staggered schemes, one fully implicit and the other...

By L. Beira͂o da Veiga and G. Vacca
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1853-1878, January 2022.
In the present contribution we develop a sharper error analysis for the Virtual Element Method, applied...

By Daxin Nie, Jing Sun, and Weihua Deng
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1879-1904, January 2022.
Fractional Gaussian noise models the time series with long-range dependence; when the Hurst index $H\in(1/2,1)$, it...

By Dong Wang
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2061-A2088, August 2022.
A Dirichlet $k$-partition of a domain is a collection of $k$ pairwise disjoint open subsets such...

By Xiaofeng Cai and Jing-Mei Qiu
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2037-A2060, August 2022.
The semi-Lagrangian (SL) approach is attractive in transport simulations, e.g., in climate modeling and kinetic...

By Théophile Chaumont-Frelet and Patrick Vega
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1774-1798, January 2022.
We consider residual-based a posteriori error estimators for Galerkin discretizations of time-harmonic Maxwell's equations. We focus...

By Limin Ma and Shudan Tian
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B910-B937, August 2022.
In this paper, we propose and analyze the extrapolation method and asymptotically exact a posterior error...

By Zexi Song and Zhiqiang Tan
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2089-A2120, August 2022.
There has been considerable interest in designing Markov chain Monte Carlo algorithms by exploiting numerical methods...

By Reza MohammadiArani, Mehdi Dehghan, and Mostafa Abbaszadeh
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B885-B909, August 2022.
Recently, the reduced order model (ROM) has been applied to reduce the computational cost of numerical...

By Xu Wang, Weidong Zhao, and Tao Zhou
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1799-1823, January 2022.
In this paper, we propose a new family of fully discrete Sinc-$\theta$ schemes for solving...

By Joseph V. Pusztay, Matthew G. Knepley, and Mark F. Adams
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page C310-C319, August 2022.
Particle-in-cell methods employ particle representations of unknown fields but also employ continuum fields for other parts...

By Melven Röhrig-Zöllner, Jonas Thies, and Achim Basermann
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page C287-C309, August 2022.
There are several factorizations of multidimensional tensors into lower-dimensional components, known as “tensor networks.” We consider...

By Oumaima Bencheikh and Benjamin Jourdain
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1701-1740, January 2022.
We are interested in the Euler--Maruyama discretization of a stochastic differential equation in dimension $d$ with...

By Yiqi Gu and Michael K. Ng
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A2018-A2036, August 2022.
In this paper, we propose a novel method for solving high-dimensional spectral fractional Laplacian equations. Using...

By Jingqi Ai, Yuan Xu, Chi-Wang Shu, and Qiang Zhang
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1741-1773, January 2022.
In this paper we shall establish an a priori L$^2$-norm error estimate of the fourth order...

By Or Avnat and Irad Yavneh
SIAM Journal on Scientific Computing, Ahead of Print.
A new fixed (nonadaptive) recursive scheme for multigrid algorithms is introduced. Governed by a positive parameter $\kappa$ called the cycle counter,...

By Guoqiang Wang, Wenjian Yu, Xiubo Liang, Yuanqing Wu, and Bo Yu
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1989-A2017, August 2022.
In this paper, an easy to implement and efficient algorithm is proposed for large-scale sparse...

By Yong Gao and Wangtao Lu
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page B861-B884, August 2022.
In anisotropic media, the standard perfectly matched layer (PML) technique suffers irrevocable instability in terminating the...

By Kai Jiang, Xuehong Su, and Juan Zhang
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1960-A1988, August 2022.
This paper proposes an efficient general alternating-direction implicit (GADI) framework for solving large sparse linear systems....

By Assyr Abdulle and Giacomo Rosilho de Souza
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1859-A1883, August 2022.
Stabilized explicit methods are particularly efficient for large systems of stiff stochastic differential equations (SDEs) due...

By Yue Guo, Felix Dietrich, Tom Bertalan, Danimir T. Doncevic, Manuel Dahmen, Ioannis G. Kevrekidis, and Qianxiao Li
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1911-A1933, August 2022.
We study the learning of numerical algorithms for scientific computing, which combines mathematically driven, handcrafted design...

By Elizabeth Qian, Ionuţ-Gabriel Farcaş, and Karen Willcox
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1934-A1959, August 2022.
We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate...

By Kamran Pentland, Massimiliano Tamborrino, Debasmita Samaddar, and Lynton C. Appel
SIAM Journal on Scientific Computing, Ahead of Print.
Parareal is a well-studied algorithm for numerically integrating systems of time-dependent differential equations by parallelizing the temporal domain. Given approximate initial...

By Zhijian He, Zhenghang Xu, and Xiaoqun Wang
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1884-A1910, August 2022.
Variational Bayes (VB) is a popular tool for Bayesian inference in statistical modeling. Recently, some VB...

By Kenneth Duru, Siyang Wang, and Kenny Wiratama
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1631-1664, January 2022.
In this paper, we develop a provably energy stable and conservative discontinuous spectral element method...

By Rifqi Aziz, Emre Mengi, and Matthias Voigt
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1833-A1858, August 2022.
We first consider the problem of approximating a few eigenvalues of a rational matrix-valued function closest...

By Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, and Axel Voigt
SIAM Journal on Scientific Computing, Volume 44, Issue 4, Page A1807-A1832, August 2022.
In this paper we study parametric trace finite element (TraceFEM) and parametric surface finite element (SFEM)...

By Tran Thi Khieu and Hoang-Hung Vo
SIAM Journal on Numerical Analysis, Volume 60, Issue 4, Page 1665-1700, January 2022.
In this paper, we investigate the problem of reconstructing the historical distribution for a nonlinear diffusion...

By Mark Ainsworth and Charles Parker
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1574-1606, June 2022.
This is the third part in a series on a mass conserving, high order, mixed finite...

By Gregor Gantner and Rob Stevenson
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1607-1629, June 2022.
In this paper, a well-posed simultaneous space-time first order system least squares formulation is constructed of...

By Frédéric Legoll, Pierre-Loïk Rothé, Claude Le Bris, and Ulrich Hetmaniuk
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 798-834, June 2022.
Abstract. We consider a variant of the conventional MsFEM approach with enrichments based on Legendre polynomials, both...

By Durga Prasad Challa and Mourad Sini
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 882-892, June 2022.
Abstract. We are concerned with the acoustic scattering problem by many small rigid obstacles of arbitrary shapes....

By Wing Tat Leung and Yating Wang
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1775-A1806, June 2022.
For time-dependent problems with high-contrast multiscale coefficients, the time step size for explicit methods is affected...

By Jingrun Chen, Rui Du, Zetao Ma, Zhiwei Sun, and Lei Zhang
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 835-856, June 2022.
Abstract. Permalloy is a nickel-iron magnetic alloy, which typically has a face-centered cubic phase but may form...

By Paul C. Bressloff and Ryan D. Schumm
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 857-881, June 2022.
Abstract. We consider a particle undergoing diffusion with stochastic resetting in a bounded domain [math] for [math]....

By Daxin Nie and Weihua Deng
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1548-1573, June 2022.
Here, we provide a unified framework for numerical analysis of the stochastic nonlinear fractional diffusion equation...

By Zihao Yang, Jizu Huang, Xiaobing Feng, and Xiaofei Guan
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1752-A1774, June 2022.
In this paper, we propose and analyze a new stochastic homogenization method for diffusion equations with...

By Björn Liljegren-Sailer and Nicole Marheineke
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B834-B859, June 2022.
This paper deals with the systematic development of structure-preserving approximations for a class of nonlinear partial...

By Saray Busto, Michael Dumbser, Ilya Peshkov, and Evgeniy Romenski
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1723-A1751, June 2022.
In this paper we present a new family of semidiscrete and fully discrete finite volume schemes...

By Vladimir Kazeev, Ivan Oseledets, Maxim V. Rakhuba, and Christoph Schwab
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 893-935, September 2022.
Abstract. Homogenization in terms of multiscale limits transforms a multiscale problem with [math] asymptotically separated microscales posed...

By Lu Zhang and Siyang Wang
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1516-1547, June 2022.
We develop a stable finite difference method for the elastic wave equation in bounded media, where...

By Kazuki Koga
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1703-A1722, June 2022.
A novel static algorithm is proposed for numerical reparametrization of periodic planar curves. The method identifies...

By Felipe Galarce, Damiano Lombardi, and Olga Mula
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B805-B833, June 2022.
We develop a mathematical and numerical framework to solve state estimation problems for applications that present...

By Nils Kohl, Marcus Mohr, Sebastian Eibl, and Ulrich Rüde
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page C260-C285, June 2022.
Motivated by challenges in the Earth's mantle convection, we present a massively parallel implementation of an...

By Per Ljung, Roland Maier, and Axel Målqvist
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 714-740, June 2022.
Abstract. We present a space-time multiscale method for a parabolic model problem with an underlying coefficient that...

By Alexander Kurganov, Yongle Liu, and Mária Lukáčová-Medviďová
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1655-A1680, June 2022.
We consider the two-dimensional rotating shallow water equations with nonflat bottom topography. We focus on the...

By Youjun Deng, Xiaoping Fang, and Hongyu Liu
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 641-656, June 2022.
Abstract. In this paper, we are concerned with the gradient estimate of the electric field due to...

By James H. Adler, Yunhui He, Xiaozhe Hu, Scott MacLachlan, and Peter Ohm
SIAM Journal on Scientific Computing, Ahead of Print.
Advanced finite-element discretizations and preconditioners for models of poroelasticity have attracted significant attention in recent years. The equations of poroelasticity...

By Moritz Hauck and Daniel Peterseim
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 657-684, June 2022.
Abstract. We introduce a novel multi-resolution localized orthogonal decomposition (LOD) for time-harmonic acoustic scattering problems that can...

By Anne Dietrich, Niklas Kolbe, Nikolaos Sfakianakis, and Christina Surulescu
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 685-713, June 2022.
Abstract. We propose a novel approach to modeling cell migration in an anisotropic environment with biochemical heterogeneity...

By Shi Jin, Lei Li, and Yiqun Sun
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 741-768, June 2022.
Abstract. We investigate several important issues regarding the random batch method (RBM) for second order interacting particle...

By Samuel E. Otto, Alberto Padovan, and Clarence W. Rowley
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1681-A1702, June 2022.
Reduced-order modeling techniques, including balanced truncation and $\mathcal{H}_2$-optimal model reduction, exploit the structure of linear dynamical...

By Philip Freese
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 769-797, June 2022.
Abstract. In this work, we apply the finite element heterogeneous multiscale method to a class of dispersive...

By Yating Wang, Wing Tat Leung, and Guang Lin
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 618-640, June 2022.
Abstract. In this work, we propose an adaptive sparse learning algorithm that can be applied to learn...

By Geshuo Wang and Zhenning Cai
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B771-B804, June 2022.
We propose the differential equation based path integral method to simulate the real-time evolution of open...

By Gero Friesecke, Andreas S. Schulz, and Daniela Vögler
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1632-A1654, June 2022.
We introduce a simple, accurate, and extremely efficient method for numerically solving multimarginal optimal transport...

By Felix Bartel, Daniel Potts, and Michael Schmischke
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1606-A1631, June 2022.
In this paper we propose a tool for high-dimensional approximation based on trigonometric polynomials where we...

By Zeyu Jin and Ruo Li
Multiscale Modeling & Simulation, Volume 20, Issue 2, Page 583-617, June 2022.
Abstract. We propose a high-order numerical homogenization method for dissipative ordinary differential equations (ODEs) containing two time...

By Lulu Liu, Feng-Nan Hwang, Li Luo, Xiao-Chuan Cai, and David E. Keyes
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1579-A1605, June 2022.
A nonlinear elimination preconditioned inexact Newton (NEPIN) algorithm is proposed for problems with localized strong...

By Dieter Armbruster, Michael Herty, and Giuseppe Visconti
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1494-1515, June 2022.
The ensemble Kalman filter (EnKF) belongs to the class of iterative particle filtering methods and can...

By Mathias Oster, Leon Sallandt, and Reinhold Schneider
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B746-B770, June 2022.
Controlling systems of ordinary differential equations is ubiquitous in science and engineering. For finding an optimal...

By Benjamin Dörich and Marlis Hochbruck
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1472-1493, June 2022.
In this paper we propose two exponential integrators of first and second order applied to a...

By Roland Becker, Michael Innerberger, and Dirk Praetorius
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1450-1471, June 2022.
We consider an elliptic linear-quadratic parameter estimation problem with a finite number of parameters. A...

By Manuela Hund, Tim Mitchell, Petar Mlinarić, and Jens Saak
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1554-A1578, June 2022.
In this paper, we generalize existing frameworks for ${{\mathcal{H}_2} \otimes {\mathcal{L}_2}}$-optimal model order reduction to a...

By Zhenyue Zhang, Zheng Zhai, and Limin Li
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1525-A1553, June 2022.
Graphs play an important role in many fields of machine learning such as clustering. Many graph-based...

By Shu Liu, Wuchen Li, Hongyuan Zha, and Haomin Zhou
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1385-1449, June 2022.
In this paper, we develop and analyze numerical methods for high-dimensional Fokker--Planck equations by leveraging generative...

By Jingwei Hu, Xiaodong Huang, Jie Shen, and Haizhao Yang
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1497-A1524, June 2022.
Numerical approximation of the Boltzmann equation presents a challenging problem due to its high-dimensional, nonlinear, and...

By Guillaume Gbikpi-Benissan and Frédéric Magoulès
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page C237-C259, June 2022.
This paper introduces the multiplicative variant of the recently proposed asynchronous additive coarse-space correction method. The...

By Aryan Eftekhari and Simon Scheidegger
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page C210-C236, June 2022.
We propose a scalable method for computing global solutions of nonlinear, high-dimensional dynamic stochastic economic models....

By Sören Bartels, Frank Meyer, and Christian Palus
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1475-A1496, June 2022.
Inspired by recent results on self-avoiding inextensible curves, we propose and experimentally investigate a numerical method...

By Kateryna Pozharska and Tino Ullrich
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1363-1384, June 2022.
We study the recovery of multivariate functions from reproducing kernel Hilbert spaces in the uniform norm....

By Bin Gao, Guanghui Hu, Yang Kuang, and Xin Liu
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B723-B745, June 2022.
All-electron calculations play an important role in density functional theory, in which improving computational efficiency is...

By Santolo Leveque and John W. Pearson
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B694-B722, June 2022.
We derive novel, fast, and effective preconditioned iterative methods for steady and time-dependent Navier--Stokes control problems....

By Oleg Balabanov and Laura Grigori
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1450-A1474, June 2022.
A randomized Gram--Schmidt algorithm is developed for orthonormalization of high-dimensional vectors or QR factorization. The proposed...

By Nek Sharan, Peter T. Brady, and Daniel Livescu
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1331-1362, June 2022.
A framework to construct time-stable finite-difference schemes that apply boundary conditions strongly (or exactly) is presented...

By Jun Hu, Yizhou Liang, and Rui Ma
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1307-1330, June 2022.
This paper presents the first family of conforming finite element $\ddiv\ddiv$ complexes on tetrahedral grids...

By Hugh A. Carson, Steven Allmaras, Marshall Galbraith, and David Darmofal
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1281-1306, June 2022.
Adaptive finite element methods (AFEMs) are an increasingly common means of automatically controlling error in numerical...

By Ruda Zhang, Simon Mak, and David Dunson
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1428-A1449, June 2022.
Subspace-valued functions arise in a wide range of problems, including parametric reduced order modeling (PROM), parameter...

By Wen-Ming He and Hailong Guo
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1251-1280, June 2022.
The maximum norm error estimations for virtual element methods are studied. To establish the error estimations,...

By Steven Roberts, Andrey A. Popov, Arash Sarshar, and Adrian Sandu
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1405-A1427, June 2022.
Simulation of complex dynamical systems arising in many applications is computationally challenging due to their size...

By Ismaïl Badia, Boris Caudron, Xavier Antoine, and Christophe Geuzaine
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B640-B667, June 2022.
The aim of this paper is to propose efficient weak coupling formulations between the boundary...

By Florian Feppon and Habib Ammari
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1226-1250, June 2022.
This paper considers a Monte-Carlo Nystrom method for solving integral equations of the second kind, whereby...

By Tan Bui-Thanh, Qin Li, and Leonardo Zepeda-Nún͂ez
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B668-B693, June 2022.
In computational PDE-based inverse problems, a finite amount of data is collected to infer unknown parameters...

By Riccardo Tenderini, Stefano Pagani, Alfio Quarteroni, and Simone Deparis
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B605-B639, June 2022.
In this work, we present a PDE-aware deep learning model for the numerical solution to the...

By Wietse M. Boon, Dennis Gläser, Rainer Helmig, and Ivan Yotov
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1193-1225, June 2022.
We investigate a mortar technique for mixed finite element approximations of a class of domain decomposition...

By Hai Zhu and Shravan Veerapaneni
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1381-A1404, June 2022.
This paper presents a new approach for solving the close evaluation problem in three dimensions, commonly...

By Felipe Lepe, Gonzalo Rivera, and Jesus Vellojin
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1358-A1380, June 2022.
In two and three dimensions, we analyze mixed finite element methods for a velocity-pressure-pseudostress formulation of...

By Junlong Lyu, Zhongjian Wang, Jack Xin, and Zhiwen Zhang
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1136-1167, June 2022.
In this paper, we study the propagation speeds of reaction-diffusion-advection fronts in time-periodic cellular and chaotic...

By Daan Huybrechs
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1168-1192, June 2022.
We consider the computation of quadrature rules that are exact for a Chebyshev set of linearly...

By Jiaxiang Cai and Hua Liang
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B585-B604, June 2022.
In this paper we propose several efficient conservative prediction-correction methods for studying the Schrödinger equation in...

By Stephen Metcalfe and Thomas P. Wihler
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1337-A1357, June 2022.
This work is concerned with the development of an adaptive numerical method for semilinear heat flow...

By Heather Wilber, Anil Damle, and Alex Townsend
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page C185-C209, June 2022.
Rational approximation schemes for reconstructing periodic signals from samples with poorly separated spectral content are described....

By Max Ehre, Iason Papaioannou, Bruno Sudret, and Daniel Straub
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B558-B584, June 2022.
To date, the analysis of high-dimensional, computationally expensive engineering models remains a difficult challenge in risk...

By Paul Houston, Connor J. Rourke, and Kristoffer G. van der Zee
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B531-B557, June 2022.
The travel time functional measures the time taken for a particle trajectory to travel from a...

By Thomas Führer, Norbert Heuer, and Michael Karkulik
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1111-1135, June 2022.
Minimum residual methods such as the least-squares finite element method (FEM) or the discontinuous Petrov--Galerkin (DPG)...

By Maurice Hensel and Irwin Yousept
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1083-1110, June 2022.
This paper proposes and examines a finite element method (FEM) for a Maxwell obstacle problem in...

By James Diffenderfer, Daniel Osei-Kuffuor, and Harshitha Menon
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1290-A1314, June 2022.
Approximate computing techniques, which trade off the computation accuracy of an algorithm for better performance and...

By Tapio Helin, Nuutti Hyvönen, and Juha-Pekka Puska
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B506-B530, June 2022.
This work considers sequential edge-promoting Bayesian experimental design for (discretized) linear inverse problems, exemplified by X-ray...

By Vegard Antun
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1315-A1336, June 2022.
Recovering a signal (function) from finitely many binary or Fourier samples is one of the core...

By Mirjam Walloth and Winnifried Wollner
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B479-B505, June 2022.
Within this article, we develop a residual-type a posteriori error estimator for a time discrete quasi-static...

By Erik Burman, Peter Hansbo, and Mats G. Larson
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1254-A1289, June 2022.
In this paper we develop a fully explicit cut finite element method for the wave equation....

By Markus Faustmann, Michael Karkulik, and Jens Markus Melenk
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1055-1082, June 2022.
For first-order discretizations of the integral fractional Laplacian, we provide sharp local error estimates on proper...

By Cui Ning, Yifei Wu, and Xiaofei Zhao
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 999-1025, June 2022.
In this paper, we propose an embedded low-regularity integrator (ELRI) under a new framework for solving...

By Christina Paulin, Antoine Llor, Thibaud Vazquez-Gonzalez, Jean-Philippe Perlat, and Éric Heulhard de Montigny
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1227-A1253, June 2022.
Monotonic interpolation and its avatars are major ingredients of many numerical schemes for solving partial differential...

By Xiaoli Li, Weilong Wang, and Jie Shen
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 1026-1054, June 2022.
We construct and analyze first- and second-order implicit-explicit schemes based on the scalar auxiliary variable approach...

By Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach, and Olof B. Widlund
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1176-A1204, June 2022.
A new reduced-dimension adaptive generalized Dryja--Smith--Widlund (GDSW) overlapping Schwarz method for linear second-order elliptic problems...

By Pablo D. Brubeck and Lloyd N. Trefethen
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1205-A1226, June 2022.
Gopal and Trefethen recently introduced “lightning solvers” for the 2D Laplace and Helmholtz equations, based on...

By Qing Cheng and Jie Shen
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 970-998, June 2022.
In the second part of this series, we use the Lagrange multiplier approach proposed in...

By Clara Menzen, Manon Kok, and Kim Batselier
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1116-A1144, June 2022.
Multiway data often naturally occurs in a tensorial format which can be approximately represented by a...

By José A. Carrillo, Lin Chen, and Qi Wang
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 940-969, June 2022.
We propose and analyze an optimal mass transport method for a random genetic drift problem driven...

By Lijie Mei, Li Huang, and Xinyuan Wu
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1092-A1115, June 2022.
As one of the most important properties, energy preservation is a natural requirement for numerical integrators...

By Jingwei Liang, Tao Luo, and Carola-Bibiane Schönlieb
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1069-A1091, June 2022.
The “fast iterative shrinkage-thresholding algorithm,” a.k.a. FISTA, is one of the most well known first-order optimization...

By Yuchen He, Sung-Ha Kang, Wenjing Liao, Hao Liu, and Yingjie Liu
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1145-A1175, June 2022.
We propose robust methods to identify the underlying Partial Differential Equation (PDE) from a given single...

By Hussam Al Daas, Pierre Jolivet, and Jennifer A. Scott
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1047-A1068, June 2022.
Solving the normal equations corresponding to large sparse linear least-squares problems is an important and challenging...

By Duc Quang Bui, Caroline Japhet, Yvon Maday, and Pascal Omnes
SIAM Journal on Numerical Analysis, Volume 60, Issue 3, Page 913-939, June 2022.
We propose and analyze a new parallel paradigm that uses both the time and the space...

By Robert Altmann and Roland Maier
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B457-B478, June 2022.
We analyze a semiexplicit time discretization scheme of first order for poroelasticity with nonlinear permeability provided...

By Wenjie Shi and Daniel M. Tartakovsky
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page A1021-A1046, June 2022.
Generalized polynomial chaos (gPC), often combined with mono-implicit Runge--Kutta (MIRK) methods, is widely used to solve...

By Meng Liu and Jiaqing Yang
SIAM Journal on Scientific Computing, Volume 44, Issue 3, Page B429-B456, June 2022.
This paper is concerned with an inverse problem to recover an impenetrable solid in an unbounded...

By Yu-hsuan Shih, Georg Stadler, and Florian Wechsung
SIAM Journal on Scientific Computing, Ahead of Print.
We present augmented Lagrangian Schur complement preconditioners and robust multigrid methods for incompressible Stokes problems with extreme viscosity variations. Such Stokes...

By Peter Bastian, Robert Scheichl, Linus Seelinger, and Arne Strehlow
SIAM Journal on Scientific Computing, Ahead of Print.
Highly heterogeneous, anisotropic coefficients, e.g., in the simulation of carbon-Fiber composite components, can lead to extremely challenging finite element systems. Direct...

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By Lina Sorg The autonomous vehicle market is not yet fully autonomous; at present, self-driving cars are meant to be used in conjunction with human operators. Because factors like stress, ...

...

By Sven Leyffer and Salil Mahajan The U.S. Department of Energy (DOE) recently organized a series of workshops to identify challenges and research opportunities for the use of artificial ...

By Michel Schanen , Valentin Churavy , Youngdae Kim , and Mihai Anitescu Software development—a dominant expenditure for scientific projects—is often limited by technical programming ...

By Ryoichi Shinkuma Traditionally, the ...

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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The MAA-SIAM-AMS Hrabowski-Gates-Tapia-McBay (HGTM) Lecture is named after four influential scientists of color: Freeman Hrabowski, President of the University of Maryland at Baltimore County; James S. Gates, University of Maryland, College Park; Richard Tapia, Rice University; and Shirley McBay, Founder and former President of Quality Education for Minorities. This lecture started in 2016 as an activity of the Mathematical Association of America’s Committee on Minority Participation and became a jointly sponsored MAA-SIAM-AMS event in 2018.

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

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

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