By Rubing Han and Shuonan Wu
SIAM Journal on Numerical Analysis, Volume 60, Issue 6, Page 3052-3077, December 2022.
Abstract. We propose a monotone discretization for the integral fractional Laplace equation on bounded Lipschitz domains...

By Anya Katsevich
Multiscale Modeling & Simulation, Volume 20, Issue 4, Page 1315-1360, December 2022.
Abstract. We investigate the local equilibrium (LE) distribution of a crystal surface jump process as it approaches...

Following SIAM’s recent elections, we are pleased to announce our new members of the Board of Trustees and Council, as elected by the SIAM membership. The Board is responsible for the ...

By Zhangxing Bian , Charles R. Hatt , and  Nicholas S. Burris A thoracic aortic aneurysm (TAA) is a common ailment that is characterized by dilation of the thoracic aorta, which is the ...

By Jens Hahne, Ben S. Southworth, and Stephanie Friedhoff
SIAM Journal on Scientific Computing, Ahead of Print.
In this paper, we present the new “asynchronous truncated multigrid-reduction-in-time” (AT-MGRIT) algorithm for introducing time parallelism to the solution of discretized...

By Bernard Kapidani and Rafael Vázquez Hernandez
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3673-A3699, December 2022.
A new kind of spline geometric method approach is presented. Its main ingredient is the use...

By Nour G. Al Hassanieh, Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3645-A3672, December 2022.
We describe a new approach to derive numerical approximations of boundary conditions for high-order accurate finite-difference...

By Thomas Izgin, Stefan Kopecz, and Andreas Meister
SIAM Journal on Numerical Analysis, Volume 60, Issue 6, Page 3029-3051, December 2022.
Abstract. Higher-order time integration methods that unconditionally preserve the positivity and linear invariants of the underlying...

By Jake Cherry, Alan E. Lindsay, Adrián Navarro Hernández, and Bryan Quaife
Multiscale Modeling & Simulation, Volume 20, Issue 4, Page 1284-1314, December 2022.
Abstract. We consider the problem of determining the arrival statistics of unbiased planar random walkers to complex...

San Diego, CA, United States

By Tingwei Meng, Zhen Zhang, Jerome Darbon, and George Karniadakis
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page B1341-B1368, December 2022.
Solving high-dimensional optimal control problems in real-time is an important but challenging problem, with applications to...

Blacksburg, VA, United States

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By Mestan Firat Çeliktuğ, M. Ozan Karsavuran, Seher Acer, and Cevdet Aykanat
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page C399-C424, December 2022.
Several successful partitioning models and methods have been proposed and used for computational load balancing of...

By Thomas Izgin, Stefan Kopecz, and Andreas Meister
SIAM Journal on Numerical Analysis, Volume 60, Issue 6, Page 3029-3051, December 2022.
Abstract. Higher-order time integration methods that unconditionally preserve the positivity and linear invariants of the underlying...

By Jake Cherry, Alan E. Lindsay, Adrián Navarro Hernández, and Bryan Quaife
Multiscale Modeling & Simulation, Volume 20, Issue 4, Page 1284-1314, December 2022.
Abstract. We consider the problem of determining the arrival statistics of unbiased planar random walkers to complex...

By Tingwei Meng, Zhen Zhang, Jerome Darbon, and George Karniadakis
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page B1341-B1368, December 2022.
Solving high-dimensional optimal control problems in real-time is an important but challenging problem, with applications to...

By Mestan Firat Çeliktuğ, M. Ozan Karsavuran, Seher Acer, and Cevdet Aykanat
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page C399-C424, December 2022.
Several successful partitioning models and methods have been proposed and used for computational load balancing of...

By Shijin Hou, Yanlai Chen, and Yinhua Xia
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3536-A3559, December 2022.
Repeatedly solving the parameterized optimal mass transport (pOMT) problem is a frequent task in applications such...

By Xindi Hu and Shengfeng Zhu
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3560-A3591, December 2022.
We consider two types of geometric shape inverse problems associated with time-fractional subdiffusion: the inverse source...

By N. Anders Petersson and Fortino Garcia
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3592-A3616, December 2022.
We consider the optimal control problem of determining electromagnetic pulses for implementing logical gates in a...

By Chao Chen and George Biros
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3617-A3644, December 2022.
The discretization of certain integral equations, e.g., the first-kind Fredholm equation of Laplace's equation, leads to...

By Lucia Romani and Alberto Viscardi
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3515-A3535, December 2022.
In the past few decades polynomial curves with Pythagorean hodograph (PH curves) have received considerable attention...

By Pengzhan Jin, Shuai Meng, and Lu Lu
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3490-A3514, December 2022.
As an emerging paradigm in scientific machine learning, neural operators aim to learn operators, via neural...

By Steven R. Glandon, Mahesh Narayanamurthi, and Adrian Sandu
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3437-A3462, December 2022.
Time integration methods for solving initial value problems are an important component of many scientific and...

By Marta Lazzaretti, Luca Calatroni, and Claudio Estatico
SIAM Journal on Scientific Computing, Volume 44, Issue 6, Page A3463-A3489, December 2022.
We consider structured optimization problems defined in terms of the sum of a smooth and convex...

By Dmitry Kaliuzhnyi-Verbovetskyi and Georgi S. Medvedev
SIAM Journal on Numerical Analysis, Volume 60, Issue 6, Page 3001-3028, December 2022.
Abstract. A class of evolution equations with nonlocal diffusion is considered in this work. These are...

By Vyacheslav Boyko, Sebastian Krumscheid, and Nikki Vercauteren
Multiscale Modeling & Simulation, Volume 20, Issue 4, Page 1251-1283, December 2022.
Abstract. Data-driven stochastic parameterization methods use observational data to support and improve existing prediction systems. Specifically in...

By Habib Ammari, Jinghao Cao, and Erik Orvehed Hiltunen
Multiscale Modeling & Simulation, Volume 20, Issue 4, Page 1228-1250, December 2022.
Abstract. We show the possibility of achieving nonreciprocal wave propagation in space-time modulated media and give an...

By Cuiyang Ding, Changhao Yan, Xuan Zeng, and Wei Cai
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3413-A3435, October 2022.
In this paper, a parallel probabilistic method using the Feynman--Kac formula of killed Brownian motions is...

By Bernhard Maier and Barbara Verfürth
Multiscale Modeling & Simulation, Volume 20, Issue 4, Page 1169-1190, December 2022.
Abstract. In this paper, we consider the classical wave equation with time-dependent, spatially multiscale coefficients. We propose...

By Matthew Li, Laurent Demanet, and Leonardo Zepeda-Núñez
Multiscale Modeling & Simulation, Volume 20, Issue 4, Page 1191-1227, December 2022.
Abstract. We introduce an end-to-end deep learning architecture called the wide-band butterfly network (WideBNet) for approximating the...

By Alex Bespalov, David J. Silvester, and Feng Xu
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3393-A3412, October 2022.
A general adaptive refinement strategy for solving linear elliptic partial differential equations with random data is...

By François Golse and Olivier R. Pironneau
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2963-3000, October 2022.
New mathematical results are given for the radiative transfer equations alone and coupled with the temperature...

By Michael V. Klibanov, Jingzhi Li, and Wenlong Zhang
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3341-A3365, October 2022.
A version of the convexification globally convergent numerical method is constructed for a coefficient inverse problem...

By Martin Rumpf, Stefan Simon, and Christoph Smoch
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2945-2962, October 2022.
In this paper, the numerical approximation of isometric deformations of thin elastic shells is discussed. To...

By Boyang Ye, Shi Jin, Yulong Xing, and Xinghui Zhong
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3317-A3340, October 2022.
Numerically solving the Liouville equation in classical mechanics with a discontinuous potential often leads to the...

By Alexandre Ern and Jean-Luc Guermond
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3366-A3392, October 2022.
We introduce a technique that makes every explicit Runge--Kutta (ERK) time stepping method invariant domain preserving...

By Eric Cancès, Geneviève Dusson, Gaspard Kemlin, and Antoine Levitt
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page B1312-B1340, October 2022.
We propose accurate computable error bounds for quantities of interest in plane-wave electronic structure calculations, in...

By Constantin Carle and Marlis Hochbruck
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2897-2924, October 2022.
In this paper we consider the numerical solution of second-order semilinear differential equations for which the...

By Lei Zhang, Pingwen Zhang, and Xiangcheng Zheng
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2925-2944, October 2022.
High-index saddle dynamics provide an effective means to compute the any-index saddle points and construct the...

By Vu Thai Luan, Rujeko Chinomona, and Daniel R. Reynolds
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3265-A3289, October 2022.
In this paper we propose a novel class of methods for high-order accurate integration of multirate...

By Adam A. Śliwiak and Qiqi Wang
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3290-A3316, October 2022.
Accurate approximations of the change of a system's output and its statistics with respect to the...

By Run Jiang, Yonglin Li, Haijun Wu, and Jun Zou
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2866-2896, October 2022.
A nonlinear Helmholtz equation (NLH) with high wave number and Sommerfeld radiation condition is approximated...

By Simon Dirckx, Daan Huybrechs, and Karl Meerbergen
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page B1282-B1311, October 2022.
The discretization of boundary integral equations for the scalar Helmholtz equation leads to large dense linear...

By Behnam Hashemi and Yuji Nakatsukasa
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3244-A3264, October 2022.
We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squares...

By Adrien Laurent
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3217-A3243, October 2022.
In molecular dynamics, penalized overdamped Langevin dynamics are used to model the motion of a set...

By Zhengqi Zhang, Zhidong Zhang, and Zhi Zhou
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2834-2865, October 2022.
The aim of this paper is to study the recovery of a spatially dependent potential...

By Paul Manns and Stefan Ulbrich
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2807-2833, October 2022.
In PDE-constrained optimization, proper orthogonal decomposition (POD) provides a surrogate model of a (potentially expensive) PDE...

By Yi Qin, Yongshuai Wang, and Jian Li
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2781-2806, October 2022.
This paper proposes a variable time step, second-order time filter algorithm for the closed-loop geothermal system...

By Zhengqi Zhang and Zhi Zhou
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3183-A3216, October 2022.
Our aim is the development and analysis of the numerical schemes for approximately solving the backward...

By Shukai Li and Sanjay Mehrotra
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2751-2780, October 2022.
This paper develops a finite approximation approach to find the solution $F(x)$ of integral equations in...

By Rodrigo M. Pereira, Natacha Nguyen Van Yen, Kai Schneider, and Marie Farge
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 1147-1166, September 2022.
Abstract. Adaptive Galerkin methods for time-dependent partial differential equations are studied and shown to be dissipative. The...

By Dane Taylor, Mason A. Porter, and Peter J. Mucha
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 1167-1167, September 2022.
Abstract. This erratum corrects several typos in [D. Taylor, M. A. Porter, and P. J. Mucha, Multiscale...

By Shibin Dai, Toai Luong, and Xiang Ma
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 1127-1146, September 2022.
Abstract. Using a multiscale analysis, we derive a sharp interface limit for the dynamics of bilayer structures...

By Yue Luo, Xiangcheng Zheng, Xiangle Cheng, and Lei Zhang
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2731-2750, October 2022.
Saddle dynamics is a time continuous dynamics to efficiently compute the any-index saddle points and construct...

By Ruming Zhang
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page B1257-B1281, October 2022.
In this paper, two high order complex contour discretization methods are proposed to simulate wave propagation...

By Thomas Gillis and Wim M. van Rees
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page C367-C398, October 2022.
We present the derivation, implementation, and analysis of a multiresolution adaptive grid framework for numerical simulations...

By Martin Halla
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2713-2730, October 2022.
The complex scaling/perfectly matched layer method is a widely spread technique to simulate wave propagation problems...

By Sebastian Noelle, Martin Parisot, and Tabea Tscherpel
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2681-2712, October 2022.
This work is devoted to the structure of the time-discrete Green--Naghdi equations including bathymetry. We use...

By Sina Dahm and Christiane Helzel
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 1002-1039, September 2022.
Abstract. We study mathematical models and approximations for the sedimentation in suspensions of rod-like particles. The starting...

By Weizhu Bao, Yue Feng, and Jia Yin
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 1040-1062, September 2022.
Abstract. We establish improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac...

By Shi Chen, Qin Li, Jianfeng Lu, and Stephen J. Wright
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 1093-1126, September 2022.
Abstract. We describe an efficient domain decomposition-based framework for nonlinear multiscale PDE problems. The framework is inspired...

By Lijian Jiang, Mengnan Li, and Meng Zhao
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 1063-1092, September 2022.
Abstract. In this paper, an online multiscale model reduction method is presented for stochastic partial differential equations...

By Zheyuan Hu, Ameya D. Jagtap, George Em Karniadakis, and Kenji Kawaguchi
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3158-A3182, October 2022.
Physics-informed neural networks (PINNs) have become a popular choice for solving high-dimensional partial differential equations (PDEs)...

By L'ubomír Baňas and André Wilke
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2657-2680, October 2022.
We derive a posteriori error estimates for a fully discrete time-implicit finite element approximation of...

By Samuel M. Greene, Robert J. Webber, Timothy C. Berkelbach, and Jonathan Weare
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3067-A3097, October 2022.
Traditional numerical methods for calculating matrix eigenvalues are prohibitively expensive for high-dimensional problems. Iterative random sparsification...

By Yiqi Gu and Michael K. Ng
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3130-A3157, October 2022.
In this paper, we study deep neural networks (DNNs) for solving high-dimensional evolution equations with oscillatory...

By Jian Dong and Xu Qian
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3098-A3129, October 2022.
This paper aims to introduce surface reconstruction (SR) schemes to maintain the smooth equilibria, including the...

By Wei Bian and Xiaojun Chen
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2565-2591, October 2022.
We give new convergence results of Anderson acceleration for the composite $\max$ fixed point problem. We...

By Zhaonan Dong and Alexandre Ern
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2626-2656, October 2022.
We devise and analyze two hybrid high-order (HHO) methods for the numerical approximation of the biharmonic...

By Kathryn P. Drake, Edward J. Fuselier, and Grady B. Wright
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3018-A3040, October 2022.
Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging...

By Xiuchen Yu, Guanghui Hu, Wangtao Lu, and Andreas Rathsfeld
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2592-2625, October 2022.
This paper studies the perfectly matched layer (PML) method for wave scattering in a half space...

By Xiaofeng Ou and Jianlin Xia
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A3041-A3066, October 2022.
For dense symmetric matrices with small off-diagonal (numerical) ranks and in a hierarchically semiseparable form, we...

By Pablo D. Brubeck and Patrick E. Farrell
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2991-A3017, October 2022.
Pavarino proved that the additive Schwarz method with vertex patches and a low-order coarse space gives...

By Ioannis P. A. Papadopoulos
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2538-2564, October 2022.
Divergence-free discontinuous Galerkin (DG) finite element methods offer a suitable discretization for the pointwise divergence-free numerical...

By Florian Feppon and Habib Ammari
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 957-1001, September 2022.
Abstract. A systematic two-step procedure is proposed for the derivation of full asymptotic expansions of the solution...

By Benjamin Stamm and Lambert Theisen
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2508-2537, October 2022.
This paper provides a provably quasi-optimal preconditioning strategy of the linear Schrödinger eigenvalue problem with periodic...

By Benjamin Pachev, Jared P. Whitehead, and Shane A. McQuarrie
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2974-A2990, October 2022.
We develop an algorithm based on the nudging data assimilation scheme for the concurrent (on-the-fly) estimation...

By Ioannis Toulopoulos
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2944-A2973, October 2022.
In this paper, continuous space-time finite element methods are developed for approximating a class of quasilinear...

By Zheng Sun, Yuanzhe Wei, and Kailiang Wu
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2448-2481, October 2022.
This paper presents a systematic theoretical framework to derive the energy identities of general implicit and...

By B. Després, A. Nicolopoulos, and B. Thierry
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2482-2507, October 2022.
We study a mathematical framework for the construction of domain decomposition methods (DDM) for the model...

By Jianbo Cui, Luca Dieci, and Haomin Zhou
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2918-A2943, October 2022.
In this paper, we propose a numerical method to solve the classic $L^2$-optimal transport problem. Our...

By Selim Esedoḡlu and Jiajia Guo
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2435-2447, October 2022.
We present a second order accurate in time numerical scheme for curve shortening flow in the...

By Jeffrey M. Connors and Kenneth C. Sockwell
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2373-2404, October 2022.
A framework is presented to design multirate time stepping algorithms for two dissipative models with coupling...

By Ming-Jun Lai and Jinsil Lee
SIAM Journal on Numerical Analysis, Volume 60, Issue 5, Page 2405-2434, October 2022.
We propose a collocation method based on multivariate polynomial splines over triangulation or tetrahedralization for numerical...

By Lina Zhao
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page B1221-B1256, October 2022.
In this paper, we first propose and analyze a novel mixed-type DG method for the coupled...

By Timo Betcke, Erik Burman, and Matthew W. Scroggs
SIAM Journal on Scientific Computing, Volume 44, Issue 5, Page A2895-A2917, October 2022.
We consider boundary element methods where the Calderón projector is used for the system matrix and...

By Werner Bauer, Colin Cotter, and Beth Wingate
Multiscale Modeling & Simulation, Volume 20, Issue 3, Page 936-956, September 2022.
Abstract. We introduce a higher order phase averaging method for nonlinear oscillatory systems. Phase averaging is a...

By Pierre-Loïc Bacq and Yvan Notay
SIAM Journal on Scientific Computing, Ahead of Print.
We consider the numerical solution of discrete Oseen problems. We propose a new approach that consists of first applying a simple...

By Alena Kopaničáková and Rolf Krause
SIAM Journal on Scientific Computing, Ahead of Print.
We propose a globally convergent multilevel training method for deep residual networks (ResNets). The devised method can be seen as a...

By Ru Huang, Ruipeng Li, and Yuanzhe Xi
SIAM Journal on Scientific Computing, Ahead of Print.
Multigrid methods are one of the most efficient techniques for solving large sparse linear systems arising from partial differential equations (PDEs)...

By Alexander Heinlein, Oliver Rheinbach, and Friederike Röver
SIAM Journal on Scientific Computing, Ahead of Print.
The parallel performance of the three-level fast and robust overlapping Schwarz (FROSch) preconditioners is investigated for linear elasticity. The FROSch framework...

By Alexander Heinlein, Axel Klawonn, and Martin Lanser
SIAM Journal on Scientific Computing, Ahead of Print.
In this article, different nonlinear domain decomposition methods are applied to nonlinear problems with highly heterogeneous coefficient functions with jumps. In...

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 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 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 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 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 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 Nicolas Betancourt and Mauricio Velasco Mitigating the negative impacts of the current climate crisis and ongoing loss in Earth’s biodiversity is a compelling and important effort. ...

By Aviad Levis Black holes, which were ...

By Matthew R. Francis In recent months, many people have begun to explore a new pastime: generating their own images using several widely-distributed programs such as DALL-E , Midjourney , ...

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.

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.

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.