By Lek-Heng Lim
SIAM Review, Volume 62, Issue 3, Page 685-715, January 2020.
This is an elementary introduction to the Hodge Laplacian on a graph, a higher-order generalization of the graph Laplacian....

By Andrii Mironchenko and Christophe Prieur
SIAM Review, Volume 62, Issue 3, Page 529-614, January 2020.
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems....

By Ernesto Estrada, Gissell Estrada-Rodriguez, and Heiko Gimperlein
SIAM Review, Volume 62, Issue 3, Page 617-645, January 2020.
In a complex system, the interplay between the internal structure of its entities and their interconnection may play a...

By Jed A. Duersch and Ming Gu
SIAM Review, Volume 62, Issue 3, Page 661-682, January 2020.
Rank-revealing matrix decompositions provide an essential tool in spectral analysis of matrices, including the Singular Value Decomposition (SVD) and...

By Vicky Chuqiao Yang, Daniel M. Abrams, Georgia Kernell, and Adilson E. Motter
SIAM Review, Volume 62, Issue 3, Page 646-657, January 2020.
Since the 1960s, Democrats and Republicans in the U.S. Congress have taken increasingly polarized positions, while the public's policy...

By Darinka Dentcheva
SIAM Review, Volume 62, Issue 3, Page 683-683, January 2020.
This issue of SIAM Review contains two papers in the Education section. The first paper, “Hodge Laplacians on Graphs,”...

By Misha E. Kilmer
SIAM Review, Volume 62, Issue 3, Page 615-615, January 2020.
In this issue, Research Spotlights features two exciting and topically diverse articles. The authors of the first article...

By J. M. Sanz-Serna
SIAM Review, Volume 62, Issue 3, Page 527-527, January 2020.
Andrii Mirochenko and Christophe Prieur are the authors of “Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions,”...

By Volker H. Schulz
SIAM Review, Volume 62, Issue 3, Page 729-739, January 2020.
These are difficult times, but some circumstances make the work in our Book Reviews section even more difficult. Due...

By The Editors
SIAM Review, Volume 62, Issue 3, Page 659-659, January 2020.
The SIGEST article in this issue, “Randomized Projection for Rank-Revealing Matrix Factorizations and Low-Rank Approximations,” by Jed A. Duersch...

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By Vicky Chuqiao Yang, Daniel M. Abrams, Georgia Kernell, and Adilson E. Motter
SIAM Review, Volume 62, Issue 3, Page 646-657, January 2020.
Since the 1960s, Democrats and Republicans in the U.S. Congress have taken increasingly polarized positions, while the public's policy...

By Darinka Dentcheva
SIAM Review, Volume 62, Issue 3, Page 683-683, January 2020.
This issue of SIAM Review contains two papers in the Education section. The first paper, “Hodge Laplacians on Graphs,”...

By Misha E. Kilmer
SIAM Review, Volume 62, Issue 3, Page 615-615, January 2020.
In this issue, Research Spotlights features two exciting and topically diverse articles. The authors of the first article...

By J. M. Sanz-Serna
SIAM Review, Volume 62, Issue 3, Page 527-527, January 2020.
Andrii Mirochenko and Christophe Prieur are the authors of “Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions,”...

By Volker H. Schulz
SIAM Review, Volume 62, Issue 3, Page 729-739, January 2020.
These are difficult times, but some circumstances make the work in our Book Reviews section even more difficult. Due...

By The Editors
SIAM Review, Volume 62, Issue 3, Page 659-659, January 2020.
The SIGEST article in this issue, “Randomized Projection for Rank-Revealing Matrix Factorizations and Low-Rank Approximations,” by Jed A. Duersch...

By Blake Barker, Jason Mireles James, and Jalen Morgan
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1758-1797, January 2020.
We consider a linearly unstable standing wave solution of a parabolic partial differential equation (PDE)...

By Naghmeh Akhavan and James A. Yorke
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1736-1757, January 2020.
Many civilizations have risen and then collapsed. There can be many causes. A major influence...

By Joshua Kimrey, Theodore Vo, and Richard Bertram
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1701-1735, January 2020.
Early afterdepolarizations (EADs) are pathological voltage fluctuations that can occur in cardiac cells and are...

By Gary Froyland, Péter Koltai, and Martin Stahn
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1659-1700, January 2020.
Understanding the macroscopic behavior of dynamical systems is an important tool to unravel transport mechanisms...

By Alfredo Garbuno-Inigo, Nikolas Nüsken, and Sebastian Reich
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1633-1658, January 2020.
We propose a computational method (with acronym ALDI) for sampling from a given target distribution...

By Li Zhang and Sanjeeva Balasuriya
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1609-1632, January 2020.
The problems of (i) maximizing or minimizing Lagrangian mixing in fluids via the introduction of...

By Corentin Briat and Mustafa Khammash
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1575-1608, January 2020.
Delays are important phenomena arising in a wide variety of real-world systems, including biological ones,...

By Jan Rombouts, Kiattisak Prathom, and Todd R. Young
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1540-1573, January 2020.
We study a model of the cell cycles of a large ensemble of cells that...

By Francisco Crespo and Sebastián Ferrer
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1525-1539, January 2020.
This work deals with the full reduction of the spatial Kepler system for bounded and...

By Dante Kalise, Sudeep Kundu, and Karl Kunisch
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1496-1524, January 2020.
We propose an approach for the synthesis of robust and optimal feedback controllers for nonlinear...

By Nathan L. Sanford, Graham M. Donovan, and William L. Kath
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1472-1495, January 2020.
Pulses in an actively mode-locked laser can occasionally slip relative to the timing signal, leading...

By Tailei Zhang and Xiao-Qiang Zhao
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1438-1471, January 2020.
In this paper, we investigate a time-delayed differential model of the transmission dynamics of schistosomiasis...

By Dana Contreras-Julio, Pablo Aguirre, José Mujica, and Olga Vasilieva
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1392-1437, January 2020.
Dengue, zika, and chikungunya are viruses transmitted to humans by Aedes aegypti mosquitoes. In the...

By Alessandro Alla, Caterina Balzotti, Maya Briani, and Emiliano Cristiani
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1372-1391, January 2020.
The aim of this paper is to solve an inverse problem which regards a mass...

By Douglas D. Novaes, Tere M. Seara, Marco A. Teixeira, and Iris O. Zeli
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1343-1371, January 2020.
We study the existence of periodic solutions in a class of planar Filippov systems obtained...

By Seung-Yeal Ha and Hansol Park
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1312-1342, January 2020.
We study emergent behaviors of the Lohe hermitian sphere (LHS) model which is an aggregation...

By Matthieu Alfaro, Arnaud Ducrot, and Grégory Faye
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1291-1311, January 2020.
We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some...

By Xiuli Cen, Xuhua Cheng, Zaitang Huang, and Meirong Zhang
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1271-1290, January 2020.
Motivated by the recent works on the stability of symmetric periodic orbits of the elliptic...

By Seung-Yeal Ha, Dohyun Kim, Jaeseung Lee, and Se Eun Noh
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1225-1270, January 2020.
We study emergent behaviors of the swarm sphere model under attractive-repulsive couplings and present...

By Claire Kiers
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1200-1224, January 2020.
We develop a definition of rate-induced tipping (R-tipping) in discrete-time dynamical systems (maps) and prove...

By Arvind Prasadan and Raj Rao Nadakuditi
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1160-1199, January 2020.
The dynamic mode decomposition (DMD) extracted dynamic modes are the nonorthogonal eigenvectors of the matrix...

By Ling Guo, Akil Narayan, and Tao Zhou
SIAM Review, Volume 62, Issue 2, Page 483-508, January 2020.
Polynomial approximations constructed using a least-squares approach form a ubiquitous technique in numerical computation. One of the simplest ways...

By Lloyd N. Trefethen
SIAM Review, Volume 62, Issue 2, Page 439-462, January 2020.
Boundary-value problems involving the linear differential equation $\varepsilon y'' - x y' + y = 0$ have surprising properties...

By Yair Carmon and John C. Duchi
SIAM Review, Volume 62, Issue 2, Page 395-436, January 2020.
We consider minimization of indefinite quadratics with either trust-region (norm) constraints or cubic regularization. Despite the nonconvexity of these...

By Anne Greenbaum, Ren-Cang Li, and Michael L. Overton
SIAM Review, Volume 62, Issue 2, Page 463-482, January 2020.
We present first-order perturbation analysis of a simple eigenvalue and the corresponding right and left eigenvectors of a general...

By Philipp Grohs, Sarah Koppensteiner, and Martin Rathmair
SIAM Review, Volume 62, Issue 2, Page 301-350, January 2020.
The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier...

By Michael T. Schaub, Austin R. Benson, Paul Horn, Gabor Lippner, and Ali Jadbabaie
SIAM Review, Volume 62, Issue 2, Page 353-391, January 2020.
Using graphs to model pairwise relationships between entities is a ubiquitous framework for studying complex systems and data. Simplicial...

By Xiaoxue Zhao, Zhuchun Li, and Xiaoping Xue
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1124-1159, January 2020.
We study the stability of an oscillatory associative memory network consisting of $N$ coupled...

By Volker H. Schulz
SIAM Review, Volume 62, Issue 2, Page 511-526, January 2020.
I am writing these lines in April 2020 while science is in lockdown mode globally. They will be published...

By The Editors
SIAM Review, Volume 62, Issue 2, Page 393-393, January 2020.
The SIGEST article in this issue, “First-Order Methods for Nonconvex Quadratic Minimization,” by Yair Carmon and John C. Duchi,...

By Misha E. Kilmer
SIAM Review, Volume 62, Issue 2, Page 351-351, January 2020.
The current issue of SIAM Review features the Research Spotlights article “Random Walks on Simplicial Complexes and the Normalized...

By Darinka Dentcheva
SIAM Review, Volume 62, Issue 2, Page 437-438, January 2020.
The Education section of SIAM Review presents three papers in this issue. In the first paper Lloyd N. Trefethen...

By J. M. Sanz-Serna
SIAM Review, Volume 62, Issue 2, Page 299-299, January 2020.
In a previous issue of SIAM Review, I started my introduction to the Survey and Review section by saying...

By Dohyun Kim
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1080-1123, January 2020.
We study the emergent behavior of the matrix ensemble on the unitary group in which...

By Lucia Valentina Gambuzza, Mattia Frasca, and Ernesto Estrada
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1057-1079, January 2020.
In this work, we introduce a new Laplacian matrix, referred to as the hubs-attracting Laplacian,...

By Peter Giesl, Conor Osborne, and Sigurdur Hafstein
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 1029-1056, January 2020.
Lyapunov functions are an important tool to determine the basin of attraction of equilibria. In...

By Ian Lizarraga and Martin Wechselberger
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 994-1028, January 2020.
The computational singular perturbation (CSP) method is an algorithm which iteratively approximates slow manifolds and...

By John M. Neuberger, Nándor Sieben, and James W. Swift
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 964-993, January 2020.
A synchrony subspace of $\mathbb{R}^{n}$ is defined by setting certain components of the vectors equal...

By Sarbendu Rakshit, Bidesh K. Bera, Erik M. Bollt, and Dibakar Ghosh
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 918-963, January 2020.
In this paper, we study intralayer synchronization of multiplex networks where nodes in each layer...

By Mason Kamb, Eurika Kaiser, Steven L. Brunton, and J. Nathan Kutz
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 886-917, January 2020.
Nonlinear dynamical systems are ubiquitous in science and engineering, yet analysis and prediction of these...

By Felix Dietrich, Thomas N. Thiem, and Ioannis G. Kevrekidis
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 860-885, January 2020.
A systematic mathematical framework for the study of numerical algorithms would allow comparisons, facilitate conjugacy...

By Matthieu Gilson and Jean-Pascal Pfister
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 828-859, January 2020.
The present paper provides exact mathematical expressions for the high-order moments of spiking activity in...

By Cristobal Quin͂inao and Jonathan D. Touboul
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 788-827, January 2020.
We investigate the dynamics of a limit of interacting FitzHugh--Nagumo neurons in the regime of...

By Mayur V. Lakshmi, Giovanni Fantuzzi, Jesús D. Fernández-Caballero, Yongyun Hwang, and Sergei I. Chernyshenko
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 763-787, January 2020.
Tobasco, Goluskin, and Doering [https://doi.org/10.1016/j.physleta.2017.12.023 Phys. Lett. A, 382 (2018), pp. 382--386}] recently suggested that...

By Antonín Slavík
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 2, Page 725-762, January 2020.
We consider a model of two competing species of Lotka--Volterra type with diffusion (migration), where...

By Raphael Gerlach, Adrian Ziessler, Bruno Eckhardt, and Michael Dellnitz
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 705-723, January 2020.
In this work we present a set-oriented path following method for the computation of relative...

By Bogdan Batko, Konstantin Mischaikow, Marian Mrozek, and Mateusz Przybylski
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 665-704, January 2020.
The topological method for the reconstruction of dynamics from time series [K. Mischaikow et...

By Corentin Briat
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 619-664, January 2020.
The integral control of positive systems using nonnegative control input is an important problem arising...

By Maxime Breden and Christian Kuehn
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 577-618, January 2020.
Differential equations with random parameters have gained significant prominence in recent years due to their...

By Eyal Bar-Shalom, Alexander Ovseevich, and Michael Margaliot
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 541-576, January 2020.
We introduce and analyze two general dynamical models for unidirectional movement of particles along a...

By A. Farhat, N. E. Glatt-Holtz, V. R. Martinez, S. A. McQuarrie, and J. P. Whitehead
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 510-540, January 2020.
This work applies a continuous data assimilation scheme---a framework for reconciling sparse and potentially noisy...

By Volker H. Schulz
SIAM Review, Volume 62, Issue 1, Page 283-297, January 2020.
The frame for the Book Reviews section this time is formed by the books of two very well known...

By The Editors
SIAM Review, Volume 62, Issue 1, Page 197-197, January 2020.
The SIGEST article in this issue, “Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal...

By Misha E. Kilmer
SIAM Review, Volume 62, Issue 1, Page 131-131, January 2020.
Tensors, or multiway arrays, are often used for storage of high-dimensional data. In order to have compression, completion,...

By J. M. Sanz-Serna
SIAM Review, Volume 62, Issue 1, Page 1-1, January 2020.
Bernard Brogliato and Aneel Tanwani are the authors of “Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness,...

By Darinka Dentcheva
SIAM Review, Volume 62, Issue 1, Page 229-230, January 2020.
The Education section of SIAM Review presents three papers in this issue. In the first paper Robert M. Corless...

By Shaowu Pan and Karthik Duraisamy
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 480-509, January 2020.
The Koopman operator has emerged as a powerful tool for the analysis of nonlinear dynamical...

By Xiaochuan Tian and Qiang Du
SIAM Review, Volume 62, Issue 1, Page 199-227, January 2020.
Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value...

By Bernard Brogliato and Aneel Tanwani
SIAM Review, Volume 62, Issue 1, Page 3-129, January 2020.
This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is...

By David Hong, Tamara G. Kolda, and Jed A. Duersch
SIAM Review, Volume 62, Issue 1, Page 133-163, January 2020.
Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor...

By Tracy L. Stepien, Eric J. Kostelich, and Yang Kuang
SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020.
Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the...

By Antônio Francisco Neto
SIAM Review, Volume 62, Issue 1, Page 264-280, January 2020.
In this work we introduce a new operator based approach to matrix analysis. Our main technical tool comprises an...

By Nawaf Bou-Rabee and Miranda C. Holmes-Cerfon
SIAM Review, Volume 62, Issue 1, Page 164-195, January 2020.
Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the...

By Robert M. Corless and Leili Rafiee Sevyeri
SIAM Review, Volume 62, Issue 1, Page 231-243, January 2020.
We look at two classical examples in the theory of numerical analysis, namely, the Runge example for interpolation and...

By Punit Gandhi, Martin Golubitsky, Claire Postlethwaite, Ian Stewart, and Yangyang Wang
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 366-411, January 2020.
Center manifold reduction is a standard technique in bifurcation theory, reducing the essential features of...

By Arnd Bäcker and James D. Meiss
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 442-479, January 2020.
Moser derived a normal form for the family of four-dimensional (4D), quadratic, symplectic maps in...

By Alfredo Garbuno-Inigo, Franca Hoffmann, Wuchen Li, and Andrew M. Stuart
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 412-441, January 2020.
Solving inverse problems without the use of derivatives or adjoints of the forward model is...

By Yoshihiko Susuki and Igor Mezić
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 329-351, January 2020.
This paper addresses structures of state space in quasiperiodically forced dynamical systems. We develop a...

By Balázs Boros and Josef Hofbauer
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 352-365, January 2020.
We give a new proof of the fact that each weakly reversible mass-action system with...

By Jiu-Gang Dong, Seung-Yeal Ha, and Doheon Kim
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 304-328, January 2020.
In this paper, we study the interplay of time-delayed interactions and network structure on the...

By Maikel M. Bosschaert, Sebastiaan G. Janssens, and Yu. A. Kuznetsov
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 252-303, January 2020.
In this paper, we perform the parameter-dependent center manifold reduction near the generalized Hopf (Bautin),...

By Piotr Słowiński, Sohaib Al-Ramadhani, and Krasimira Tsaneva-Atanasova
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 208-232, January 2020.
We present an analysis of two Haken--Kelso--Bunz (HKB) oscillators coupled by a neurologically motivated function....

By Wen Huang, Hong Qian, Shirou Wang, Felix X.-F. Ye, and Yingfei Yi
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 233-251, January 2020.
We characterize the synchronization phenomenon in discrete-time, discrete-state random dynamical systems, with random and probabilistic...

By Rui Dila͂o and Manuel Murteira
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 181-207, January 2020.
We derive the exact equations of motion of the Keplerian dumbbell (KD) system, which consists...

By Paul C. Bressloff and James N. MacLaurin
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 151-180, January 2020.
A common method for analyzing the effects of molecular noise in chemical reaction networks is...

By George Haller, Daniel Karrasch, and Florian Kogelbauer
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 85-123, January 2020.
Our recent work identifies material surfaces in incompressible flows that extremize the transport of an...

By Chuang Ma, Han-Shuang Chen, Xiang Li, Ying-Cheng Lai, and Hai-Feng Zhang
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 124-150, January 2020.
It has been recognized that many complex dynamical systems in the real world require a...

By Benjamin Letson and Jonathan E. Rubin
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 58-84, January 2020.
A recently introduced technique, local orthogonal rectification (LOR), provides a way to derive coordinate systems...

By Robbin Bastiaansen, Martina Chirilus-Bruckner, and Arjen Doelman
SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 1, Page 1-57, January 2020.
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly perturbed...

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Have you ever tried to explain the importance of applied math to your friends and family? SIAM has created the ‘Math in our Lives’ video collection to help you do just that! This series of 90-second ...

By Karen Cumings , Peter R. Kramer , and Brad Lister Freshly-cut grass is a signature fragrance of summer, but it is also a distress signal [4]. When damaged by insects (or lawnmowers), ...

...

It's National Volunteer Week! This occasion is an opportunity to celebrate the dedicated individuals who offer their time in exchange for nothing more than making SIAM (and the world) a better ...

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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 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.

Established in 1967, the prize honors Norbert Wiener, a founder of the field of cybernetics. The prize is awarded every three years by SIAM and the American Mathematical Society (AMS) for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.

The prize was established in 1999 in memory of Julian D. Cole and his work in mathematical applications to aerodynamics. It is awarded for the application of mathematical methods or the mathematical solution of a challenging problem in engineering or the physical or biological sciences.

Established in 1967, the prize honors George David Birkhoff (1884-1944), who served as the American Mathematical Society (AMS) President during 1925-1926. The prize is awarded every three years by SIAM and AMS for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS 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 prize was established in 2011 to honor Martin David Kruskal for his many fundamental contributions, particularly the discovery and theory of solitons. It is awarded to one individual for a significant contribution to the mathematical theory of nonlinear waves and coherent structures.

The Red Sock Award is given for the best poster presentation by a student or postdoc at the SIAM Conference on Applications of Dynamical Systems. Four awards are made each prize cycle. By tradition, each recipient is awarded a red sock.

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 prize recognizes students for outstanding solutions to real world math problems. It is awarded to two 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 Prizes bring attention to papers published in SIAM journals. Three awards are 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.

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.

The prize was established in 2015 to honor T. Brooke Benjamin for his seminal contributions to nonlinear waves and coherent structures. It is awarded to a mid-career established researcher for recent work, based on publication in peer-reviewed journals.

This prize was established in 1968 to commemorate Theodore von Kármán and his work in aerodynamics. It is awarded every five years for a notable application of mathematics to mechanics or engineering in the five to ten years preceding the award.