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By Harbir Antil and Rainald Löhner A 2020 position paper by the American Institute of Aeronautics and Astronautics and the Aerospace Industries Association defines a digital twin (DT) ...
May is Asian American and Pacific Islander (AAPI) Heritage Month in the U.S., a commemorative month to recognize the historical and cultural contributions of Asian Americans, Pacific Islanders, and ...
By Uwe NaumannSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1423-A1440, June 2024. Abstract. A modification of Newton’s method for solving systems of [math] nonlinear equations is presented. The...
By Gianluca Ceruti, Jonas Kusch, and Christian LubichSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page B205-B228, June 2024. Abstract. This work introduces a parallel and rank-adaptive matrix integrator for dynamical low-rank approximation. The method...
By Jongho ParkSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1373-A1396, June 2024. Abstract. We investigate additive Schwarz methods for semilinear elliptic problems with convex energy functionals, which have wide...
By Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent-Andre Mardal, and Ludmil ZikatanovSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1461-A1486, June 2024. Abstract. We develop multilevel methods for interface-driven multiphysics problems that can be coupled across dimensions and where...
By Konstantin Althaus, Iason Papaioannou, and Elisabeth UllmannSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1487-A1513, June 2024. Abstract. In this paper, we introduce a new algorithm for rare event estimation based on adaptive...
By Ahsan Ali, James J. Brannick, Karsten Kahl, Oliver A. Krzysik, Jacob B. Schroder, and Ben S. SouthworthSIAM Journal on Scientific Computing, Ahead of Print. Abstract. This paper focuses on developing a reduction-based algebraic multigrid (AMG) method that is suitable for solving general (non)symmetric linear systems...
By Enrico Facca, Gabriele Todeschi, Andrea Natale, and Michele BenziSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1397-A1422, June 2024. Abstract. In this paper, we address the numerical solution of the quadratic optimal transport problem in...
By Riccardo BrignoneSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1441-A1460, June 2024. Abstract.The classic exact simulation scheme for the Ornstein–Uhlenbeck driven stochastic volatility model is designed for the single...
By Art B. Owen and Zexin PanSIAM Journal on Numerical Analysis, Volume 62, Issue 3, Page 1021-1038, June 2024. Abstract. Randomized quasi-Monte Carlo, via certain scramblings of digital nets, produces unbiased estimates of [math] with a...
By Noel Murasko and John C. BowmanSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page B159-B178, June 2024. Abstract. Efficient algorithms based on the fast Fourier transform are developed for computing linear convolutions. A...
By Will Pazner, Tzanio Kolev, and Panayot S. VassilevskiSIAM Journal on Scientific Computing, Volume 46, Issue 3, Page B179-B204, June 2024. Abstract. This work describes the development of matrix-free GPU-accelerated solvers for high-order finite element problems in...
By Casey Dowdle and James Whitfield Quantum theory began as a rather esoteric branch of physics, but its influence spread rapidly throughout the physical sciences. More than a century ...
By Charles A. Bouman The following is a brief reflection from the author of Foundations of Computational Imaging: A Model-based Approach , which was published by SIAM in 2022. This ...
By Yuri Alexeev , Ankit Kulshrestha , and Ilya Safro Rapid advancements in various quantum computing architectures have ignited a sense of cautious optimism about the realization of ...
By Shawn X. Cui The fundamental unit in a quantum computer is a quantum bit (qubit), which is typically the state space of a microscopic particle such as a photon, ion, atom, etc. In quantum ...
By David Hyde and Alex Pothen In April 2024, SIAM News published its first-ever Special Issue on Quantum Computing. The four featured articles connected quantum computing to applied math ...
By Ernest Davis The Worlds I See: Curiosity, Exploration, and Discovery at the Dawn of AI. By Fei-Fei Li. Flatiron Books, New York, NY, November 2023. 336 pages, $29.99. ...
By Michael Eden and Tom FreudenbergMultiscale Modeling & Simulation, Volume 22, Issue 2, Page 752-783, June 2024. Abstract. We investigate the effective heat transfer in complex systems involving porous media and surrounding fluid layers...
By Qigang Liang, Wei Wang, and Xuejun XuSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 998-1019, April 2024. Abstract. In this paper, we propose a two-level block preconditioned Jacobi–Davidson (BPJD) method for efficiently solving...
By Stephen F. McCormick and Rasmus TamstorfSIAM Journal on Scientific Computing, Ahead of Print. Abstract. Earlier work on rounding-error analysis of multigrid was restricted to cycles that used one relaxation step before coarsening and none...
By Andreas StathopoulosSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page Si-Si, April 2024.
By Yuwen Li, Ludmil Zikatanov, and Cheng ZuoSIAM Journal on Scientific Computing, Ahead of Print. Abstract. This work is on a fast and accurate reduced basis method for solving discretized fractional elliptic partial differential equations (PDEs)...
By Lena Baumann, Lukas Einkemmer, Christian Klingenberg, and Jonas KuschSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page B137-B158, April 2024. Abstract. Computational methods for thermal radiative transfer problems exhibit high computational costs and a prohibitive memory footprint...
By Ziyao Xu and Chi-Wang ShuSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1352-A1372, April 2024. Abstract. The weighted essentially nonoscillatory (WENO) schemes are popular high-order numerical methods for hyperbolic conservation laws....
By Bochao Chen, Yixian Gao, Yong Li, and Hongyu LiuMultiscale Modeling & Simulation, Volume 22, Issue 2, Page 713-751, June 2024. Abstract. This paper is devoted to establishing the resonant modal expansion of the low-frequency part of the...
By Qifan Chen, Zheng Sun, and Yulong XingSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1327-A1351, April 2024. Abstract. In this paper, we develop a new type of Runge–Kutta (RK) discontinuous Galerkin (DG) method...
By Oscar P. Bruno and Ambuj PandeySIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1298-A1326, April 2024. Abstract. This paper presents a fast high-order method for the solution of two-dimensional problems of scattering...
By Alena Kopaničáková, Hardik Kothari, George E. Karniadakis, and Rolf KrauseSIAM Journal on Scientific Computing, Ahead of Print. Abstract. We propose to enhance the training of physics-informed neural networks. To this aim, we introduce nonlinear additive and multiplicative preconditioning...
By Ralf Zimmermann and Ronny BergmannSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1276-A1297, April 2024. Abstract. In this paper, we propose two methods for multivariate Hermite interpolation of manifold-valued functions. On the...
By Shawn W. WalkerSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1252-A1275, April 2024. Abstract. We present a finite element technique for approximating the surface Hessian of a discrete scalar...
By Ö. Deniz Akyildiz, Dan Crisan, and Joaquin MiguezSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 946-973, April 2024. Abstract. We introduce a predictor-corrector discretization scheme for the numerical integration of a class of stochastic...
By Gang Bao, Wenmao Hua, Jun Lai, and Jinrui ZhangSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 974-997, April 2024. Abstract. Accurate evaluation of nearly singular integrals plays an important role in many boundary integral equation...
By Kazufumi Ito and Ying LiangSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1235-A1251, April 2024. Abstract. In this paper, we propose a direct probing method to solve the inverse problem of...
By Carsten Carstensen, Benedikt Gräßle, and Neela NatarajSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 919-945, April 2024. Abstract. A general a posteriori error analysis applies to five lowest-order finite element methods for two...
By Yidan Xue, Sarah L. Waters, and Lloyd N. TrefethenSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1214-A1234, April 2024. Abstract. Low Reynolds number fluid flows are governed by the Stokes equations. In two dimensions, Stokes...
By Yunfeng Xiong and Sihong ShaoSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page B107-B136, April 2024. Abstract. The infamous numerical sign problem poses a fundamental obstacle to particle-based stochastic Wigner simulations in...
By Jan Blechta and Oliver G. ErnstSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1160-A1185, April 2024. Abstract. We consider the identification of spatially distributed parameters under [math] regularization. Solving the associated minimization...
By Rachel Minster, Zitong Li, and Grey BallardSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1186-A1213, April 2024. Abstract. The Tucker tensor decomposition is a natural extension of the singular value decomposition (SVD) to...
By Yong Liu, Jianfang Lu, and Chi-Wang ShuSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1132-A1159, April 2024. Abstract. Entropy inequalities are crucial to the well-posedness of hyperbolic conservation laws, which help to select...
By Erik Burman, Peter Hansbo, and Mats LarsonSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 893-918, April 2024. Abstract. In this note, we design a cut finite element method for a low order divergence-free...
By L. Ridgway Scott and Tabea TscherpelSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1102-A1131, April 2024. Abstract. We examine the dimensions of various inf-sup stable mixed finite element spaces on tetrahedral meshes...
By Guo-Dong Zhang, Xiaoming He, and Xiaofeng YangSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page B77-B106, April 2024. Abstract. This article presents a mass-conserved Allen–Cahn type two-phase ferrofluid flow model and establishes its corresponding...
By Jianlin XiaSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1076-A1101, April 2024. Abstract. The Nyström method is a convenient strategy to obtain low-rank approximations to kernel matrices in...
By Lukas Einkemmer and Alexander MorigglSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page B33-B55, April 2024. Abstract. In this paper, we demonstrate the efficiency of using semi-Lagrangian discontinuous Galerkin methods to solve...
By Mihaï Bostan and Anh-Tuan VUMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 667-712, March 2024. Abstract. We study kinetic models for swarming. The interaction between individuals is given by self-propelling and friction...
By Philipp A. Guth and Vesa KaarniojaSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 872-892, April 2024. Abstract. Partial differential equations (PDEs) with uncertain or random inputs have been considered in many studies...
By Thijs Steel and Raf VandebrilSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page B56-B76, April 2024. Abstract. We present a two-stage algorithm for the parallel reduction of a pencil to Hessenberg-triangular form....
By Doruk Aksoy, David J. Gorsich, Shravan Veerapaneni, and Alex A. GorodetskySIAM Journal on Scientific Computing, Volume 46, Issue 2, Page A1047-A1075, April 2024. Abstract. We present a new algorithm for incrementally updating the tensor train decomposition of a stream...
By Christian Rieger and Holger WendlandSIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 842-871, April 2024. Abstract. In this paper, we study the approximability of high-dimensional functions that appear, for example, in...
By Zhichao Peng, Yanlai Chen, Yingda Cheng, and Fengyan LiMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 639-666, March 2024. Abstract.Kinetic transport equations are notoriously difficult to simulate because of their complex multiscale behaviors and the need...
By Sabine Haberland, Patrick Jaap, Stefan Neukamm, Oliver Sander, and Mario VargaMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 588-638, March 2024. Abstract. We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic...
By Ziyu Du, Yantong Xie, and Zhennan ZhouMultiscale Modeling & Simulation, Volume 22, Issue 1, Page 561-587, March 2024. Abstract. The noisy leaky integrate-and-fire (NLIF) model describes the voltage configurations of neuron networks with an interacting...
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,...
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...
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...
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...
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 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 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 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 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 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 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 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 Gal Shalom, Eran Treister, and Irad YavnehSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S445-S466, April 2024. Abstract. We propose a novel quasi-Newton method for solving the sparse inverse covariance estimation problem also...
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 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 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, Volume 46, Issue 2, Page S424-S444, April 2024. Abstract. Conservation and consistency are fundamental properties of discretizations of conservation laws, necessary to ensure physically...
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 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, Volume 46, Issue 2, Page S401-S423, April 2024. Abstract. We present a new restricted SVD-based CUR (RSVD-CUR) factorization for matrix triplets [math] that aims...
By Xiaozhe Hu and Junyuan LinSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S378-S400, April 2024. Abstract. We consider effective preconditioners for solving Laplacians of general weighted graphs. Theoretically, spectral sparsifiers (SSs)...
By Shubin Fu, Eric Chung, and Lina ZhaoSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S352-S377, April 2024. Abstract. We propose an efficient and robust multiscale preconditioner for large-scale incompressible flow in highly heterogeneous...
By Tianshi Xu, Anthony Austin, Vasileios Kalantzis, and Yousef SaadSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S324-S351, April 2024. Abstract. We propose a distributed-memory parallel algorithm for computing some of the algebraically smallest eigenvalues (and...
By Enric Ribera Borrell, Jannes Quer, Lorenz Richter, and Christof SchütteSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S298-S323, April 2024. Abstract. Sampling rare events in metastable dynamical systems is often a computationally expensive task and one...
By Jorge Morón-Vidal, Francisco Bernal, and Renato SpiglerSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S280-S297, April 2024. Abstract. Probabilistic domain decomposition (PDD) is an alternative paradigm for solving boundary value problems (BVPs) in...
By Stephen Thomas, Erin Carson, Miroslav Rozložník, Arielle Carr, and Katarzyna ŚwirydowiczSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S254-S279, April 2024. Abstract. The GMRES algorithm of Saad and Schultz [SIAM J. Sci. Stat. Comput., 7 (1986), pp....
By David Green, Xiaozhe Hu, Jeremy Lore, Lin Mu, and Mark L. StowellSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S199-S222, April 2024. Abstract. This paper concerns numerical solution of the diffusion equation with strong anisotropy on meshes not...
By Harbir Antil and Arvind K. SaibabaSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S176-S198, April 2024. Abstract. This paper tackles efficient methods for Bayesian inverse problems with priors based on Whittle–Matérn Gaussian...
By Mike A. Botchev, Leonid Knizhnerman, and Marcel SchweitzerSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S223-S253, April 2024. Abstract. We propose algorithms for efficient time integration of large systems of oscillatory second order ordinary...
By Julianne Chung, Jiahua Jiang, Scot M. Miller, and Arvind K. SaibabaSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S97-S119, April 2024. Abstract. We develop hybrid projection methods for computing solutions to large-scale inverse problems, where the solution...
By Siobhán Correnty, Elias Jarlebring, and Kirk M. SoodhalterSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S120-S141, April 2024. Abstract. We are interested in obtaining solutions to parameterized linear systems of the form [math] for...
By Peter Munch, Ivo Dravins, Martin Kronbichler, and Maya NeytchevaSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S71-S96, April 2024. Abstract. We present an implementation of a stage-parallel preconditioner for Radau IIA type fully implicit Runge–Kutta...
By Xuejian Li, Wei Gong, Xiaoming He, and Tao LinSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S142-S175, April 2024. Abstract. In this paper we develop and analyze a variational data assimilation method with efficient decoupled...
By Yingzhi Liu, Fenfen Qi, and Xiao-Chuan CaiSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S1-S23, April 2024. Abstract. Numerical simulation of blood flows in patient-specific arteries is becoming an important tool in understanding...
By Difeng Cai, Hua Huang, Edmond Chow, and Yuanzhe XiSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S24-S50, April 2024. Abstract. Hierarchical matrices provide a powerful representation for significantly reducing the computational complexity associated with dense...
By Michele Benzi and Chiara FaccioSIAM Journal on Scientific Computing, Volume 46, Issue 2, Page S51-S70, April 2024. Abstract. We consider the iterative solution of large linear systems of equations in which the coefficient...
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By Leili Shahriyari A significant challenge in the mathematical modeling of various cancers is the presence of numerous unknown parameters and the limited number of available data sets. To ...
SIAM is excited to announce four new researchers who will receive funding through the SIAM Postdoctoral Support Program , the second set of awardees in this newly established program. These early ...
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.