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

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

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

By Jon Vadillo , Roberto Santana , and Jose A. Lozano Ever-increasing advances in artificial intelligence systems have given rise to flourishing technologies, such as automatic speech ...

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

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

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

...

In the United States, May is Asian American and Pacific Islander Heritage Month. As we recognize the importance of Asian American and Pacific Islander mathematicians throughout history and their ...

How to Be Creative: A Practical Guide for the Mathematical Sciences , written by Nicholas J. Higham and Dennis Sherwood, is a how-to guide that gives a six-step process for generating great ideas ...

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

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

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Have you heard about the new initiatives  of the SIAM Activity Group on Supercomputing  (SIAG/SC)? Our group is focused on raising awareness of opportunities in high-performance computing (HPC), ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

By David F. Anderson and Kurt W. Ehlert
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A993-A1019, April 2022.
Reaction networks are often used to model interacting species in fields such as biochemistry and ecology....

By Oscar P. Bruno and Jagabandhu Paul
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A964-A992, April 2022.
This paper presents a fast “two-dimensional Fourier continuation” (2D-FC) method for construction of biperiodic extensions of...

By Mark Ainsworth and Shuai Jiang
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A901-A934, April 2022.
We develop a systematic approach to building uniform preconditioners for the mass matrix on unstructured meshes...

By Hao Liu, Xue-Cheng Tai, and Roland Glowinski
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A935-A963, April 2022.
Gaussian curvature is an important geometric property of surfaces, which has been used broadly in mathematical...

By Alexander Novikov, Maxim Rakhuba, and Ivan Oseledets
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A843-A869, April 2022.
In scientific computing and machine learning applications, matrices and more general multidimensional arrays (tensors) can often...

By Qiaohua Liu, Sitao Ling, and Zhigang Jia
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A870-A900, April 2022.
This paper presents a randomized quaternion singular value decomposition (QSVD) algorithm for low-rank matrix...

By María Cabrera Calvo and Katharina Schratz
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 888-912, April 2022.
We propose a novel class of uniformly accurate integrators for the Klein--Gordon equation which...

By Ricardo H. Nochetto, Michele Ruggeri, and Shuo Yang
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 856-887, April 2022.
The Ericksen model for nematic liquid crystals couples a director field with a scalar degree of...

By Paweł Przybyłowicz, Michał Sobieraj, and Łukasz Stȩpień
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 824-855, April 2022.
In this paper we deal with pointwise approximation of solutions of stochastic differential equations...

By Chun Liu, Cheng Wang, Yiwei Wang, and Steven M. Wise
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 781-803, April 2022.
We present a detailed convergence analysis for an operator splitting scheme proposed in [C. Liu, C....

By Ruming Zhang
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 804-823, April 2022.
The main task of this paper is to prove that the perfectly matched layers (PML) method...

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 Milinda Fernando and Hari Sundar
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page C156-C183, April 2022.
Numerical solutions of hyperbolic partial differential equations (PDEs) are ubiquitous in science and engineering. Method of...

By Ahmed Attia, Sven Leyffer, and Todd S. Munson
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B395-B427, April 2022.
We present a novel stochastic approach to binary optimization suited for optimal experimental design (OED) for...

By Erik Jansson, Mihály Kovács, and Annika Lang
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A825-A842, April 2022.
Spherical Whittle--Matérn Gaussian random fields are considered as solutions to fractional elliptic stochastic partial differential equations...

By Ernesto G. Birgin, Antoine Laurain, Rafael Massambone, and Arthur G. Santana
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A798-A824, April 2022.
The problem of covering a region of the plane with a fixed number of minimum-radius identical...

By Nils Kohl and Ulrich Rüde
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page C124-C155, April 2022.
We employ textbook multigrid efficiency (TME), as introduced by Achi Brandt, to construct an asymptotically optimal...

By Zhiming Chen, Wenlong Zhang, and Jun Zou
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 751-780, April 2022.
In this work, we investigate the regularized solutions and their finite element solutions to the inverse...

By Georgios Grekas, Konstantinos Koumatos, Charalambos Makridakis, and Phoebus Rosakis
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 715-750, April 2022.
We consider a model of energy minimization arising in the study of the mechanical behavior caused...

By Sebastiano Boscarino, Jingmei Qiu, Giovanni Russo, and Tao Xiong
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B368-B394, April 2022.
In this paper, we propose a new high order semi-implicit scheme for the all-Mach full...

By Sergio Gómez and Andrea Moiola
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 688-714, April 2022.
A space-time Trefftz discontinuous Galerkin method for the Schrödinger equation with piecewise-constant potential is proposed and...

By Beilei Liu, Huajie Chen, Geneviève Dusson, Jun Fang, and Xingyu Gao
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 524-550, March 2022.
We propose an adaptive planewave method for eigenvalue problems in electronic structure calculations. The method combines a...

By Guillaume Bal and Daniel Massatt
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 493-523, March 2022.
This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two-dimensional materials...

By Julia Schleuß and Kathrin Smetana
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 551-582, March 2022.
We propose local space-time approximation spaces for parabolic problems that are optimal in the sense of Kolmogorov...

By Juntao Huang, Yong Liu, Yuan Liu, Zhanjing Tao, and Yingda Cheng
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A745-A769, April 2022.
In this paper, we propose a class of adaptive multiresolution (also called the adaptive sparse grid)...

By Bert Mortier, Martine Baelmans, and Giovanni Samaey
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A720-A744, April 2022.
We develop a novel Monte Carlo strategy for the simulation of the Boltzmann-BGK model with both...

By Min Tao
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A770-A797, April 2022.
The ratio of the $L_1$ and $L_2$ norms, denoted by $L_1/L_2$, becomes attractive due to its...

By Guosheng Fu and Wenzheng Kuang
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 631-658, April 2022.
We present a novel monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction problem with a...

By Alexander Heinlein, Mauro Perego, and Sivasankaran Rajamanickam
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B339-B367, April 2022.
Numerical simulations of Greenland and Antarctic ice sheets involve the solution of large-scale highly nonlinear systems...

By Martin Eigel, Oliver G. Ernst, Björn Sprungk, and Lorenzo Tamellini
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 659-687, April 2022.
Convergence of an adaptive collocation method for the parametric stationary diffusion equation with finite-dimensional affine coefficient...

By Daria Stepanova, Helen M. Byrne, Philip K. Maini, and Tomás Alarcón
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 404-432, March 2022.
Hybrid multiscale modeling has emerged as a useful framework for modeling complex biological phenomena. However, when accounting...

By Stephan Gärttner, Peter Frolkovič, Peter Knabner, and Nadja Ray
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 433-461, March 2022.
In this paper, we introduce a pore-scale model for reactive flow and transport in evolving porous media...

By Qingqing Feng, Gregoire Allaire, and Pascal Omnes
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 462-492, March 2022.
This paper addresses an enriched nonconforming multiscale finite element method (MsFEM) to solve viscous incompressible flow problems...

By Ulrik S. Fjordholm, Markus Musch, and Nils H. Risebro
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 606-630, April 2022.
We continue the analysis of nonlinear conservation laws on networks initiated in [M. Musch, U. S....

By Konstantin Fackeldey, Mathias Oster, Leon Sallandt, and Reinhold Schneider
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 379-403, March 2022.
We consider a stochastic optimal exit time feedback control problem. The Bellman equation is solved approximatively via...

By Emil Engström and Eskil Hansen
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 585-605, April 2022.
We prove convergence for the nonoverlapping Robin--Robin method applied to nonlinear elliptic equations with a $p$-structure,...

By Yuan Gao and Jian-Guo Liu
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B310-B338, April 2022.
The geometric motion of small droplets placed on an impermeable textured substrate is mainly driven by...

By Virginie Ehrlacher, Maria Fuente Ruiz, and Damiano Lombardi
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A664-A688, April 2022.
In the present work, a method is proposed in order to compute an approximation of a...

By Wei Wang and Zhimin Zhang
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A689-A719, April 2022.
The spectral element method performs very well in solving PDE eigenvalue problems for some cases. In...

By Xiaoxue Qin, Yejun Gu, Luchan Zhang, and Yang Xiang
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 323-348, March 2022.
We present a continuum model to determine the dislocation structure and energy of low angle grain boundaries...

By Philippe Guyenne, Adilbek Kairzhan, and Catherine Sulem
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 349-378, March 2022.
This article concerns the water wave problem in a three-dimensional domain of infinite depth and examines the...

By Zhenning Cai and Yanli Wang
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B275-B309, April 2022.
We solve the Boltzmann equation, whose collision term is modeled by the hybridization of the binary...

By Faker Ben Belgacem, Vivette Girault, and Faten Jelassi
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 558-584, April 2022.
We conduct a detailed study of the fully discrete finite element approximation of the data completion...

By Ketson R. dos Santos, Dimitrios G. Giovanis, and Michael D. Shields
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B250-B274, April 2022.
This work introduces the Grassmannian diffusion maps (GDMaps), a novel nonlinear dimensionality reduction technique that defines...

By Ben S. Southworth, Oliver Krzysik, and Will Pazner
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A636-A663, April 2022.
Fully implicit Runge--Kutta (IRK) methods have many desirable accuracy and stability properties as time integration schemes,...

By Tugba Torun, F. Sukru Torun, Murat Manguoglu, and Cevdet Aykanat
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page C99-C123, April 2022.
Gauss--Seidel (GS) is a widely used iterative method for solving sparse linear systems of equations and...

By Ngoc Mai Monica Huynh, Luca F. Pavarino, and Simone Scacchi
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B224-B249, April 2022.
Two novel parallel Newton--Krylov balancing domain decomposition by constraints (BDDC) and dual-primal finite element tearing and...

By Steffen Börm, Sven Christophersen, and Ronald Kriemann
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page C77-C98, April 2022.
A new method to construct task graphs for $\mathcal{H}$-matrix arithmetic is introduced, which uses the information...

By Patrick Joly and Maryna Kachanovska
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 529-557, April 2022.
This work is dedicated to a refined error analysis of the high-order transparent boundary conditions for...

By Qing Lu, Junxian Wang, Shi Shu, and Jie Peng
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page A605-A635, April 2022.
The research of the two-level overlapping Schwarz (TL-OS) methods based on constrained energy minimizing coarse space...

By David Gasperini, Hans-Peter Biese, Udo Schroeder, Xavier Antoine, and Christophe Geuzaine
SIAM Journal on Scientific Computing, Volume 44, Issue 2, Page B197-B223, April 2022.
A finite element method in the frequency domain is proposed for solving scattering problems with moving...

By Buyang Li and Shu Ma
SIAM Journal on Numerical Analysis, Volume 60, Issue 2, Page 503-528, April 2022.
An exponential type of convolution quadrature is proposed as a time-stepping method for the nonlinear subdiffusion...

By Jiachuan Cao and Liqun Cao
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 282-322, March 2022.
This paper discusses the consistency and algorithm for semiconductor Boltzmann transport equations (BTEs) with multivalley arising from...

By Paul Dupuis and Guo-Jhen Wu
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 220-249, March 2022.
Metastability is a formidable challenge to Markov chain Monte Carlo methods. In this paper we present methods...

By Yifan Chen and Thomas Y. Hou
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 188-219, March 2022.
There is an intimate connection between numerical upscaling of multiscale PDEs and scattered data approximation of heterogeneous...

By Samuel Heroy, Dane Taylor, Feng Shi, M. Gregory Forest, and Peter J. Mucha
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 250-281, March 2022.
In composite materials composed of a soft polymer matrix and rigid, high aspect-ratio particles, the composite undergoes...

By Yongyong Cai and Yan Wang
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 164-187, March 2022.
We propose a class of efficient and uniformly accurate nested Picard iterative integrators (NPI) for solving the...

By Charles-Edouard Bréhier and Shmuel Rakotonirina-Ricquebourg
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 118-163, March 2022.
We introduce and study a notion of asymptotic preserving schemes, related to convergence in distribution, for a...

By Chou Kao, Yu-Yu Liu, and Jack Xin
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 107-117, March 2022.
The Arnold--Beltrami--Childress (ABC) flow and the Kolmogorov flow are three-dimensional periodic divergence-free velocity fields that exhibit chaotic...

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...

By Sylvain Wolf
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 72-106, March 2022.
In our recent work [X. Blanc and S. Wolf, Asymptot. Anal., 126 (2021), pp. 129--155], we have...

By Quentin Ayoul-Guilmard, Anthony Nouy, and Christophe Binetruy
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 36-71, March 2022.
This paper addresses the complexity reduction of stochastic homogenization of a class of random materials for a...

By Lena Leitenmaier and Olof Runborg
Multiscale Modeling & Simulation, Volume 20, Issue 1, Page 1-35, March 2022.
In this paper, we consider several possible ways to set up Heterogeneous Multiscale Methods for the Landau--Lifshitz...

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Have you heard about the new initiatives  of the SIAM Activity Group on Supercomputing  (SIAG/SC)? Our group is focused on raising awareness of opportunities in high-performance computing (HPC), ...

By Hans De Sterck , Karen Devine , Dirk Hartmann , Sarah Knepper , Wil Schilders , and Kees Vuik Goedendag! It’s time to dust off your Dutch—or at least your passport—because the 2023 ...

By Paul Davis The Man from the Future: The Visionary Life of John von Neumann. By Ananyo Bhattacharya. W.W. Norton & Company, New York, NY, February 2022. 368 pages, $30.00. ...

By Vegard Antun , Matthew J. Colbrook , and Anders C. Hansen ...

By Stefan Güttel In the April 2022 issue of SIAM News , I provided a brief introduction to rational Krylov methods —a critical tool in the field of scientific computing—and discussed ...

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.

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.

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.

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.

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.

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.