By Paula Chen, Tingwei Meng, Zongren Zou, Jérôme Darbon, and George Em KarniadakisSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page C216-C248, April 2024. Abstract. Hamilton–Jacobi partial differential equations (HJ PDEs) have deep connections with a wide range of fields,...
Vienna, , Austria, Vienna, , Austria
By Tim De Ryck, Siddhartha Mishra, and Roberto MolinaroSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 811-841, April 2024. Abstract. Physics informed neural networks (PINNs) require regularity of solutions of the underlying PDE to guarantee...
Abu Dhabi, , United Arab Emirates
By Giacomo Dimarco, Lorenzo Pareschi, and Mattia ZanellaMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 527-560, March 2024. Abstract. Nonlinear Fokker–Planck equations play a major role in modeling large systems of interacting particles with a...
By Robert C. KirbySIAM Journal on Scientific Computing, Ahead of Print. Abstract. Finite element discretizations of time-dependent problems also require effective time-stepping schemes. While implicit Runge–Kutta methods provide favorable accuracy and stability...
Are you a student or an early career SIAM member, 35 years old or younger, and have you made a charitable gift to SIAM in 2024? If so, you can now join Young Friends of SIAM! We ...
By Genming Bai, Jiashun Hu, and Buyang LiSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1026-A1046, April 2024. Abstract. A class of high-order mass- and energy-conserving methods is proposed for the nonlinear Schrödinger equation...
By Florian Schäfer and Houman OwhadiSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A998-A1025, April 2024. Abstract. In this work, we show that solvers of elliptic boundary value problems in [math] dimensions...
...
By Dimitri Breda, Simone De Reggi, and Rossana VermiglioSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A953-A973, April 2024. Abstract. We numerically address the stability analysis of linear age-structured population models with nonlocal diffusion, which...
By Tobin A. Driscoll, Yuji Nakatsukasa, and Lloyd N. TrefethenSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A929-A952, April 2024. Abstract. AAA rational approximation has normally been carried out on a discrete set, typically hundreds or...
By Marco Caliari, Fabio Cassini, Lukas Einkemmer, and Alexander OstermannSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A906-A928, April 2024. Abstract. In this paper, we consider an approach to improve the performance of exponential Runge–Kutta integrators...
By Nail A. Gumerov, Shoken Kaneko, and Ramani DuraiswamiSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A974-A997, April 2024. Abstract. A method for analytical computation of the double surface integrals for all layer potential kernels...
By Shumo Cui, Shengrong Ding, and Kailiang WuSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 775-810, April 2024. Abstract. Cell average decomposition (CAD) plays a critical role in constructing bound-preserving (BP) high-order discontinuous Galerkin...
By Zhengyi Li, Yanli Wang, Hongsheng Liu, Zidong Wang, and Bin DongSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page C186-C215, April 2024. Abstract. We consider the neural sparse representation to solve the Boltzmann equation with BGK and quadratic...
By Bo Feng and Gang WuSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A884-A905, April 2024. Abstract. Quadratic minimization problems with orthogonality constraints (QMPO) play an important role in many applications of...
By François Vilar and Rémi AbgrallSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A851-A883, April 2024. Abstract. In this paper, we present the two-dimensional unstructured grids extension of the a posteriori local...
Silver Spring, MD, United States, Remote Eligible, , United States
By Weizhang Huang and Jinye ShenSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A744-A769, April 2024. Abstract. A grid-overlay finite difference method is proposed for the numerical approximation of the fractional Laplacian...
By Martin J. Gander and Davide PalittaSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A697-A718, April 2024. Abstract. Time-parallel time integration has received a lot of attention in the high performance computing community...
By Danimir T. Doncevic, Alexander Mitsos, Yue Guo, Qianxiao Li, Felix Dietrich, Manuel Dahmen, and Ioannis G. KevrekidisSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A719-A743, April 2024. Abstract. Metalearning of numerical algorithms for a given task consists of the data-driven identification and adaptation...
By A. Casulli and L. RobolSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A798-A824, April 2024. Abstract. We present an algorithm for the solution of Sylvester equations with right-hand side of low...
By Pierre-Henri Cocquet and Martin J. GanderSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A670-A696, April 2024. Abstract. Most numerical approximations of frequency-domain wave propagation problems suffer from the so-called dispersion error, which...
By Habib Ammari, Bowen Li, Hongjie Li, and Jun ZouMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 476-526, March 2024. Abstract. We are interested in the resonant electromagnetic scattering by all-dielectric metasurfaces made of a two-dimensional lattice...
By Zhen Chen, Anne Gelb, and Yoonsang LeeSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A825-A850, April 2024. Abstract. We propose a new data-driven method to learn the dynamics of an unknown hyperbolic system...
By Nathan Gaby, Xiaojing Ye, and Haomin ZhouSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page C155-C185, April 2024. Abstract. We develop a novel computational framework to approximate solution operators of evolution partial differential equations...
By Malgorzata Peszynska, Naren Vohra, and Lisa BiglerMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 436-475, March 2024. Abstract. In this paper we upscale thermal models from the pore–scale to the Darcy scale for applications...
By Tony Lelièvre and Panos ParpasSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A770-A797, April 2024. Abstract. We introduce a new stochastic algorithm to locate the index-1 saddle points of a function...
By Rachel Yovel and Eran TreisterSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We present an efficient matrix-free geometric multigrid method for the elastic Helmholtz equation, and a suitable discretization. Many discretization methods...
By Balázs KovácsSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A645-A669, April 2024. Abstract. A numerical algorithm for mean curvature flow of closed mean convex surfaces with surgery is...
By Zhe Xiong, Lei Li, Ya-Nan Zhu, and Xiaoqun ZhangSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 749-774, April 2024. Abstract. We consider a Beckmann formulation of an unbalanced optimal transport (UOT) problem. The [math]-convergence of...
By Thomas Führer and Norbert HeuerSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 718-748, April 2024. Abstract. At the fully discrete setting, stability of the discontinuous Petrov–Galerkin (DPG) method with optimal test...
By Patrick E. Farrell, Lawrence Mitchell, and L. Ridgway ScottSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A629-A644, April 2024. Abstract. In recent years, a great deal of attention has been paid to discretizations of the...
By Ziang Chen, Jianfeng Lu, Yulong Lu, and Xiangxiong ZhangSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 667-691, April 2024. Abstract. We study the convergences of three projected Sobolev gradient flows to the ground state of...
By Charles Parker and Endre SüliSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 692-717, April 2024. Abstract. We construct a right inverse of the trace operator [math] on the reference triangle [math]...
By Alessandro Coclite, Giuseppe M. Coclite, Francesco Maddalena, and Tiziano PolitiSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 622-645, April 2024. Abstract. In this manuscript, an original numerical procedure for the nonlinear peridynamics on arbitrarily shaped two-dimensional...
By Timo SprekelerSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 646-666, April 2024. Abstract. We study the homogenization of the equation [math] posed in a bounded convex domain [math]...
By Richard Archibald, Feng Bao, Yanzhao Cao, and Hui SunSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 593-621, April 2024. Abstract. The aim of this paper is to carry out convergence analysis and algorithm implementation of...
By Riccardo Tenderini, Nicholas Mueller, and Simone DeparisSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page B1-B32, February 2024. Abstract. In this work, we analyze space-time reduced basis methods for the efficient numerical simulation of...
By Thomas Hudson and Xingjie Helen LiMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 406-435, March 2024. Abstract. Coarse-graining or model reduction is a term describing a range of approaches used to extend the...
By Václav Klika and Hans Christian ÖttingerMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 369-405, March 2024. Abstract. There are two main approaches to modelling interfaces within nonequilibrium thermodynamics, the so-called sharp and diffuse...
By Beiping Duan and Buyang LiSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A587-A608, February 2024. Abstract. A new class of parametric finite element methods, with a new type of artificial tangential...
By Zewen Shen and Kirill SerkhSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A609-A628, February 2024. Abstract. The accurate and efficient evaluation of Newtonian potentials over general two-dimensional domains is important for...
By Chunyu Chen, Xuehai Huang, and Huayi WeiSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 567-591, February 2024. Abstract. Virtual element methods (VEMs) without extrinsic stabilization in an arbitrary degree of polynomial are developed...
By Takashi Goda, Kosuke Suzuki, and Makoto MatsumotoSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 533-566, February 2024. Abstract. We study quasi-Monte Carlo (QMC) integration over the multidimensional unit cube in several weighted function...
By Pengfei Yin, Guangqiang Xiao, Kejun Tang, and Chao YangSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page C127-C153, February 2024. Abstract. Parametric optimal control problems governed by partial differential equations (PDEs) are widely found in scientific...
By James M. Foster, Gonçalo dos Reis, and Calum StrangeSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 500-532, February 2024. Abstract. In this paper, we introduce a new simple approach to developing and establishing the convergence...
By Haijian Yang, Rui Li, and Chao YangSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A561-A586, February 2024. Abstract. The constrained pressure residual (CPR) algorithm is a family of well-known and industry-standard preconditioners for...
By Ethan N. Epperly and Joel A. TroppSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A508-A528, February 2024. Abstract. Randomized matrix algorithms have become workhorse tools in scientific computing and machine learning. To use...
By Aaron Charous and Pierre F. J. LermusiauxSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A529-A560, February 2024. Abstract. We develop two new sets of stable, rank-adaptive dynamically orthogonal Runge–Kutta (DORK) schemes that capture...
By Chenglong Bao, Chang Chen, Kai Jiang, and Lingyun QiuSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 476-499, February 2024. Abstract. Finding stationary states of Landau free energy functionals has to solve a nonconvex infinite-dimensional optimization...
By Björn Liljegren-Sailer and Ion Victor GoseaSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A483-A507, February 2024. Abstract. Balanced singular perturbation approximation (SPA) is a model order reduction method for linear time-invariant systems...
By Jürgen Dölz and David EbertSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 422-451, February 2024. Abstract. We consider generalized operator eigenvalue problems in variational form with random perturbations in the bilinear...
By Richard Löscher and Olaf SteinbachSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 452-475, February 2024. Abstract. We consider space-time tracking-type distributed optimal control problems for the wave equation in the space-time...
By Théophile Chaumont-Frelet and Patrick VegaSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 400-421, February 2024. Abstract. We propose a new residual-based a posteriori error estimator for discontinuous Galerkin discretizations of time-harmonic...
By Maria Vasilyeva and S. M. MallikarjunaiahMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 334-368, March 2024. Abstract. In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous domains. We investigate heterogeneous...
By Xiao Li and Zhonghua QiaoSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A429-A451, February 2024. Abstract. In this paper, we present a second-order accurate and linear numerical scheme for the phase...
By Jonathan Jung and Vincent PerrierSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A452-A482, February 2024. Abstract. In this article, we are interested in the behavior of discontinuous Galerkin schemes for compressible...
By Chupeng Ma and J. M. MelenkMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 256-282, March 2024. Abstract. A generalized finite element method (FEM) is proposed for solving a heterogeneous reaction-diffusion equation with a...
By David C. Freeman, Dimitrios Giannakis, and Joanna SlawinskaMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 283-333, March 2024. Abstract. We propose a scheme for data-driven parameterization of unresolved dimensions of dynamical systems based on the...
By José A. Carrillo, Li Wang, and Chaozhen WeiSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 376-399, February 2024. Abstract. We develop structure preserving schemes for a class of nonlinear mobility continuity equation. When the...
By Shuhao Cao and Lizhen QinSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A376-A398, February 2024. Abstract. A new numerical domain decomposition method is proposed for solving elliptic equations on compact Riemannian...
By Tizian Wenzel, Francesco Marchetti, and Emma PerracchioneSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page C101-C126, February 2024. Abstract. Thanks to their easy implementation via radial basis functions (RBFs), meshfree kernel methods have proved...
By Kai Jiang, Shifeng Li, and Pingwen ZhangSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 353-375, February 2024. Abstract. Quasiperiodic systems are important space-filling ordered structures, without decay and translational invariance. How to solve...
By Remi AbgrallSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A399-A428, February 2024. Abstract. This paper is focused on the approximation of the Euler equations of compressible fluid dynamics...
By Valeria Banica, Georg Maierhofer, and Katharina SchratzSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 322-352, February 2024. Abstract. We introduce a numerical approach to computing the Schrödinger map (SM) based on the Hasimoto...
By Jeahan Jung, Hyomin Shin, and Minseok ChoiSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page C57-C76, February 2024. Abstract. Bayesian physics-informed neural networks (B-PINNs) have emerged as an efficient tool for uncertainty quantification in...
By Kazuki KogaSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A360-A375, February 2024. Abstract. A novel algorithm is proposed for quantitative comparisons between compact surfaces embedded in the three-dimensional...
By Jeffrey S. Ovall and Samuel E. ReynoldsSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A338-A359, February 2024. Abstract. In recent years, there has been significant interest in the development of finite element methods...
By Quanling Deng, Samuel N. Stechmann, and Nan ChenMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 230-255, March 2024. Abstract. Sea ice profoundly influences the polar environment and the global climate. Traditionally, sea ice has been...
By Hai V. Nguyen and Tan Bui-ThanhSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page C77-C100, February 2024. Abstract. Deep learning (DL), in particular deep neural networks, by default is purely data-driven and in...
By Fruzsina J. Agocs and Alex H. BarnettSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 295-321, February 2024. Abstract. We introduce an efficient numerical method for second-order linear ODEs whose solution may vary between...
By Zhifang Liu, Baochen Sun, Xue-Cheng Tai, Qi Wang, and Huibin ChangSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A290-A312, February 2024. Abstract. The Euler elastica (EE) model with surface curvature can generate artifact-free results compared with the...
By Zhenning Cai, Bo Lin, and Meixia LinSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 273-294, February 2024. Abstract. This paper presents a novel Fourier spectral method that utilizes optimization techniques to ensure the...
By Alan Demlow and Michael NeilanSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 248-272, February 2024. Abstract. Surface Stokes and Navier–Stokes equations are used to model fluid flow on surfaces. They have...
By Stef Graillat, Fabienne Jézéquel, Theo Mary, and Roméo MolinaSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page C30-C56, February 2024. Abstract. We introduce a mixed precision algorithm for computing sparse matrix-vector products and use it to...
By Shao-Bo Lin, Di Wang, and Ding-Xuan ZhouSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A313-A337, February 2024. Abstract. This paper proposes a sketching strategy with spherical designs to equip the classical spherical basis...
By Tiangang Cui, Sergey Dolgov, and Robert ScheichlSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page C1-C29, February 2024. Abstract. We propose a deep importance sampling method that is suitable for estimating rare event probabilities...
By Nicolas Chopin and Mathieu GerberSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 229-247, February 2024. Abstract. We propose two novel unbiased estimators of the integral [math] for a function [math], which...
By Andrew Gillette, Brendan Keith, and Socratis PetridesSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A264-A289, February 2024. Abstract. In this work, we revisit the marking decisions made in the standard adaptive finite element...
By Hans De SterckSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page vii-viii, February 2024.
By Wei Guo and Jing-Mei QiuSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A232-A263, February 2024. Abstract. In this paper, we propose a conservative low rank tensor method to approximate nonlinear Vlasov...
By Jiang Hu, Ruicheng Ao, Anthony Man-Cho So, Minghan Yang, and Zaiwen WenSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A204-A231, February 2024. Abstract. This paper studies large-scale optimization problems on Riemannian manifolds whose objective function is a finite...
By Annika Lang, Per Ljung, and Axel MålqvistMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 204-229, March 2024. Abstract. A multiscale method is proposed for a parabolic stochastic partial differential equation with additive noise and...
By Sergio Gomez, Lorenzo Mascotto, Andrea Moiola, and Ilaria PerugiaSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 199-228, February 2024. Abstract. We propose and analyze a space-time virtual element method for the discretization of the heat...
By Weiguo Gao, Yingzhou Li, and Hanxiang ShenSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A179-A203, February 2024. Abstract. A novel unconstrained optimization model named weighted trace-penalty minimization (WTPM) is proposed to address the...
By Ren-jun Qi and Xuan ZhaoSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A130-A155, February 2024. Abstract. A unified discrete gradient structure of the second order nonuniform integral averaged approximations for the...
By Shubin Fu, Eric Chung, and Lina ZhaoMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 155-177, March 2024. Abstract. In this paper, we study two-grid preconditioners for three-dimensional single-phase nonlinear compressible flow in highly heterogeneous...
By Tommaso Bevilacqua, Franco Dassi, Stefano Zampini, and Simone ScacchiSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A156-A178, February 2024. Abstract. The virtual element method (VEM) is a novel family of numerical methods for approximating partial...
By Heather L. Cihak and Zachary P. KilpatrickMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 178-203, March 2024. Abstract. The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the...
By Elisabetta Carlini, Francisco J. Silva, and Ahmad ZorkotSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 167-198, February 2024. Abstract. In this work, we consider a first order mean field game system with nonlocal couplings....
By Dexuan Zhou, Huajie Chen, Cheuk Hin Ho, and Christoph OrtnerSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A105-A129, February 2024. Abstract. The atomic cluster expansion (ACE) [R. Drautz, Phys. Rev. B, 99 (2019), 014104] yields a...
By José Pablo Lucero Lorca, Natalie Beams, Damien Beecroft, and Adrianna GillmanSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A80-A104, February 2024. Abstract. This manuscript presents an efficient solver for the linear system that arises from the hierarchical...
By Gal Shalom, Eran Treister, and Irad YavnehSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We propose a novel quasi-Newton method for solving the sparse inverse covariance estimation problem also known as the graphical least...
By Shengrong Ding and Kailiang WuSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A50-A79, February 2024. Abstract. This paper proposes and analyzes a novel efficient high-order finite volume method for the ideal...
By Yohance A. P. Osborne and Iain SmearsSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 138-166, February 2024. Abstract. The formulation of mean field games (MFG) typically requires continuous differentiability of the Hamiltonian in...
By Fei Xu and Qiumei HuangMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 142-154, March 2024. Abstract. In this article, an improved self-consistent field iteration scheme is introduced. The proposed method has essential...
By Tobias Grafke and Alessandro LaioMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 125-141, March 2024. Abstract. Stochastic systems often exhibit multiple viable metastable states that are long-lived. Over very long timescales, fluctuations...
By Li-Lian Wang, Jingye Yan, and Xiaolong ZhangSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 119-137, February 2024. Abstract. The logarithmic Schrödinger equation (LogSE) has a logarithmic nonlinearity [math] that is not differentiable at...
By Weizhu Bao and Chushan WangSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 93-118, February 2024. Abstract. We establish optimal error bounds for the exponential wave integrator (EWI) applied to the nonlinear...
By M. J. Gander and A. TonnoirSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A1-A22, February 2024. Abstract. We present and analyze Schwarz domain decomposition methods for a general diffusion problem with complex...
By Lukas Einkemmer, Jingwei Hu, and Jonas KuschSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 73-92, February 2024. Abstract. Radiation transport problems are posed in a high-dimensional phase space, limiting the use of finely...
By Pingbing Ming and Siqi SongMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 106-124, March 2024. Abstract. We derive the optimal energy error estimate for a multiscale finite element method with oversampling technique...
By Xin Liu, Qinglin Tang, Shaobo Zhang, and Yong ZhangSIAM Journal on Scientific Computing, Volume 46, Issue 1, Page A23-A49, February 2024. Abstract. The kernel truncation method (KTM) is a commonly used algorithm to compute the convolution-type nonlocal...
By Guillaume BalMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 66-105, March 2024. Abstract. We analyze the propagation of two-dimensional dispersive and relativistic wavepackets localized in the vicinity of the...
By Viktor Linders and Philipp BirkenSIAM Journal on Scientific Computing, Ahead of Print. Abstract. Conservation and consistency are fundamental properties of discretizations of conservation laws, necessary to ensure physically meaningful solutions. In the context...
By Maarten V. de Hoop, Josselin Garnier, and Knut SølnaMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 39-65, March 2024. Abstract. We consider random wave coupling along a flat boundary in dimension three, where the coupling is...
By Abhijit Biswas, David Ketcheson, Benjamin Seibold, and David ShirokoffSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 48-72, February 2024. Abstract. Runge–Kutta (RK) methods may exhibit order reduction when applied to stiff problems. For linear problems...
By James Gabbard and Wim M. van ReesSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 25-47, February 2024. Abstract. Lattice Green’s functions (LGFs) are fundamental solutions to discretized linear operators, and as such they...
By Jiequn Han, Ruimeng Hu, and Jihao LongSIAM Journal on Numerical Analysis, Volume 62, Issue 1, Page 1-24, February 2024. Abstract. One of the core problems in mean-field control and mean-field games is to solve the...
By Maryna KachanovskaMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 1-38, March 2024. Abstract. In this work we study time-domain sound-soft scattering by small circles. Our goal is to derive...
By Perfect Y. Gidisu and Michiel E. HochstenbachSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We present a new restricted SVD-based CUR (RSVD-CUR) factorization for matrix triplets [math] that aims to extract meaningful information by...
By Bernd Schmidt and Jiří ZemanMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1717-1745, December 2023. Abstract. The purpose of this note is to establish two continuum theories for the bending and torsion...
By Yiqun Li, Hong Wang, and Xiangcheng ZhengMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1690-1716, December 2023. Abstract. We investigate an optimal control model with pointwise constraints governed by a two-time-scale time-fractional advection-diffusion-reaction equation...
By Georgia Baxevani, Vagelis Harmandaris, Evangelia Kalligiannaki, and Ivi TsantiliMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1746-1774, December 2023. Abstract. This work presents a systematic methodology for describing the transient dynamics of coarse-grained molecular systems inferred...
By Xinhua Shen, Hongpeng Sun, and Xuecheng TaiMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1667-1689, December 2023. Abstract. In this work, we propose and study a preconditioned framework with a graphic Ginzburg–Landau functional for...
By Xiaozhe Hu and Junyuan LinSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We consider effective preconditioners for solving Laplacians of general weighted graphs. Theoretically, spectral sparsifiers (SSs) provide preconditioners of optimal computational...
By Vladimir MityushevMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1644-1666, December 2023. Abstract. The constructive theory of analytical higher-order contrast bounds for the effective constants of dispersed conducting and...
By Renato Spacek and Gabriel StoltzMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1602-1643, December 2023. Abstract. Transport coefficients, such as the mobility, thermal conductivity, and shear viscosity, are quantities of prime interest...
By Daria Sushnikova, Leslie Greengard, Michael O’Neil, and Manas RachhMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1570-1601, December 2023. Abstract. We present a fast direct solver for boundary integral equations on complex surfaces in three dimensions...
By John Fabricius and Markus GahnMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1502-1533, December 2023. Abstract. We study a Stokes system posed in a thin perforated layer with a Navier-slip condition on...
By Yuan Gao and Jian-Guo LiuMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1534-1569, December 2023. Abstract. Chemical reactions can be modeled by a random time-changed Poisson process on countable states. The macroscopic...
By Fabian Kröpfl, Roland Maier, and Daniel PeterseimMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1457-1485, December 2023. Abstract. Coarse-scale surrogate models in the context of numerical homogenization of linear elliptic problems with arbitrary rough...
By Wenjia Jing and Yiping ZhangMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1486-1501, December 2023. Abstract. We study the quantitative homogenization of linear second order elliptic equations in nondivergence form with highly...
By Christophe GomezMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1410-1456, December 2023. Abstract. This work concerns the asymptotic analysis of high-frequency wave propagation in randomly layered media with fast...
By Derek Olson, Christoph Ortner, Yangshuai Wang, and Lei ZhangMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1379-1409, December 2023. Abstract. We precisely and rigorously characterize the decay of elastic fields generated by dislocations in crystalline materials,...
By Daniel Massatt, Stephen Carr, and Mitchell LuskinMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1344-1378, December 2023. Abstract. Momentum space transformations for incommensurate two-dimensional electronic structure calculations are fundamental for reducing computational cost and...
By Yahong Yang, Luchan Zhang, and Yang XiangMultiscale Modeling & Simulation, Volume 21, Issue 4, Page 1323-1343, December 2023. Abstract. High entropy alloys (HEAs) are a class of novel materials that exhibit superb engineering properties. It...
By Shubin Fu, Eric Chung, and Lina ZhaoSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We propose an efficient and robust multiscale preconditioner for large-scale incompressible flow in highly heterogeneous porous media. We start from...
By Tianshi Xu, Anthony Austin, Vasileios Kalantzis, and Yousef SaadSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We propose a distributed-memory parallel algorithm for computing some of the algebraically smallest eigenvalues (and corresponding eigenvectors) of a large,...
By Enric Ribera Borrell, Jannes Quer, Lorenz Richter, and Christof SchütteSIAM Journal on Scientific Computing, Ahead of Print. Abstract. Sampling rare events in metastable dynamical systems is often a computationally expensive task and one needs to resort to enhanced...
By Jorge Morón-Vidal, Francisco Bernal, and Renato SpiglerSIAM Journal on Scientific Computing, Ahead of Print. Abstract. Probabilistic domain decomposition (PDD) is an alternative paradigm for solving boundary value problems (BVPs) in parallel with excellent scalability properties,...
By Stephen Thomas, Erin Carson, Miroslav Rozložník, Arielle Carr, and Katarzyna ŚwirydowiczSIAM Journal on Scientific Computing, Ahead of Print. Abstract. The GMRES algorithm of Saad and Schultz [SIAM J. Sci. Stat. Comput., 7 (1986), pp. 856–869] is an iterative method...
By David Green, Xiaozhe Hu, Jeremy Lore, Lin Mu, and Mark L. StowellSIAM Journal on Scientific Computing, Ahead of Print. Abstract. This paper concerns numerical solution of the diffusion equation with strong anisotropy on meshes not aligned with the anisotropic vector...
By Harbir Antil and Arvind K. SaibabaSIAM Journal on Scientific Computing, Ahead of Print. Abstract. This paper tackles efficient methods for Bayesian inverse problems with priors based on Whittle–Matérn Gaussian random fields. The Whittle–Matérn prior...
By Mike A. Botchev, Leonid Knizhnerman, and Marcel SchweitzerSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We propose algorithms for efficient time integration of large systems of oscillatory second order ordinary differential equations (ODEs) whose solutions...
By Julianne Chung, Jiahua Jiang, Scot M. Miller, and Arvind K. SaibabaSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We develop hybrid projection methods for computing solutions to large-scale inverse problems, where the solution represents a sum of different...
By Siobhán Correnty, Elias Jarlebring, and Kirk M. SoodhalterSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We are interested in obtaining solutions to parameterized linear systems of the form [math] for many values of the parameter...
By Peter Munch, Ivo Dravins, Martin Kronbichler, and Maya NeytchevaSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We present an implementation of a stage-parallel preconditioner for Radau IIA type fully implicit Runge–Kutta methods, which approximates the inverse...
By Xuejian Li, Wei Gong, Xiaoming He, and Tao LinSIAM Journal on Scientific Computing, Ahead of Print. Abstract. In this paper we develop and analyze a variational data assimilation method with efficient decoupled iterative numerical algorithms for the...
By Yingzhi Liu, Fenfen Qi, and Xiao-Chuan CaiSIAM Journal on Scientific Computing, Ahead of Print. Abstract. Numerical simulation of blood flows in patient-specific arteries is becoming an important tool in understanding vascular diseases and surgery planning....
By Difeng Cai, Hua Huang, Edmond Chow, and Yuanzhe XiSIAM Journal on Scientific Computing, Ahead of Print. Abstract. Hierarchical matrices provide a powerful representation for significantly reducing the computational complexity associated with dense kernel matrices. For example, the...
By Michele Benzi and Chiara FaccioSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We consider the iterative solution of large linear systems of equations in which the coefficient matrix is the sum of...
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March is Women's History Month, and to celebrate, SIAM is featuring women within our community for their contributions to the applied mathematics and computational science field. Read the ...
By Pascal Van Hentenryck Recent years have seen significant interest in the fusion of machine learning (ML) and optimization for a variety of engineering applications [2, 11]. Optimization ...
By Everett Grethel Computational science ...
By Igor Mezić Modeling of physical processes is the art of creating mathematical expressions that have utility for prediction and control. Historically, such models—like Isaac Newton’s ...
By Ernest Davis Unmasking AI: My Mission to Protect What is Human in a World of Machines. By Joy Buolamwini. Random House, New York, NY, October 2023. 336 pages, $28.99. Your Face ...
It is with deepest gratitude that we acknowledge the generous donors who supported SIAM in 2023. Many of SIAM's awards and honors, such as the recently established SIAM Activity Group on ...
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.
This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.
The prize was established in 1995, and named in honor of Germund Dahlquist for his early contributions to the theory of numerical analysis as applied to differential equations. It is awarded for original contributions to fields associated with his work.
Established in 2020, the prize is awarded every two years to an early career researcher for recent contributions in the field of applied and computational discrete algorithms.
This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.
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.
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.
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.
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.
SIAM Journal on Scientific Computing (SISC) contains research articles on numerical methods and techniques for scientific computation. Papers in this journal address computational issues relevant to the solution of scientific or engineering problems and include computational results demonstrating the effectiveness of the proposed techniques.
SIAM Journal on Multiscale Modeling and Simulation (MMS) is focused on nurturing the growth and development of systematic modeling and simulation approaches for multiscale problems. MMS is an interdisciplinary journal that is centered on the fundamental modeling and computational principles underlying various multiscale methods. The journal bridges the growing gap in communication between mathematics, chemistry, physics, engineering, computer science, environmental science, and more.
Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.
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Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.
Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.