This research area includes topics that advance the development and practice of educational programs, courses, and resources in applied and computational mathematics. These topics include educational issues in modeling, computational and applied mathematics. Applied mathematics education also includes interest in innovation, practice, improvement, and faculty development as well as teaching.

By Leslie Greengard and Shidong Jiang SIAM Review, Volume 61, Issue 4, Page 733-755, January 2019. We present a new integral representation for the unsteady, incompressible Stokes or Navier--Stokes equations, based on a linear combination...

By Jon Cockayne, Chris J. Oates, T. J. Sullivan, and Mark Girolami SIAM Review, Volume 61, Issue 4, Page 756-789, January 2019. Over forty years ago average-case error was proposed in the applied mathematics literature as an alternative criterion with which...

By Gábor Pataki SIAM Review, Volume 61, Issue 4, Page 839-859, January 2019. Semidefinite programs (SDPs)---some of the most useful and versatile optimization problems of the last few decades---are often...

By Catherine F. Higham and Desmond J. Higham SIAM Review, Volume 61, Issue 4, Page 860-891, January 2019. Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of...

By Guo Luo and Thomas Y. Hou SIAM Review, Volume 61, Issue 4, Page 793-835, January 2019. Whether the three-dimensional incompressible Euler equations can develop a singularity in finite time from smooth initial data is one...

By Olga Y. Kushel SIAM Review, Volume 61, Issue 4, Page 643-729, January 2019. Multiplicative and additive $D$-stability, diagonal stability, Schur $D$-stability, and $H$-stability are classical concepts which arise in studying linear dynamical...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 4, Page 837-838, January 2019. The Education section of SIAM Review presents two papers in this issue. In the first paper Gábor Pataki ...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 4, Page 731-731, January 2019. Numerical solution of the Navier--Stokes equations in both two and three dimensions is the subject of the first of...

By Volker H. Schulz SIAM Review, Volume 61, Issue 4, Page 895-906, January 2019. The book reviews section serves to inform readers about current important books from a personal point of view. However,...

By The Editors SIAM Review, Volume 61, Issue 4, Page 791-791, January 2019. The SIGEST article in this issue is “Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 4, Page 641-641, January 2019. It is a safe bet that most readers use matrices in their work. It is often of interest to...

By Lucas Castle
Applied mathematicians know the importance of recognizing and promoting mathematical innovation as it relates to industry, medicine, and engineering. They realize that ...

Have you ever tried to explain why applied math matters to your non-specialist friends and colleagues? How does it impact their everyday life? How is it shaping the future of technology? SIAM has ...

By Jie Shen, Jie Xu, and Jiang Yang SIAM Review, Volume 61, Issue 3, Page 474-506, January 2019. We propose a new numerical technique to deal with nonlinear terms in gradient flows. By introducing...

By Arjun S. Ramani, Nicole Eikmeier, and David F. Gleich SIAM Review, Volume 61, Issue 3, Page 549-595, January 2019. Common models for random graphs, such as Erdös--Rényi and Kronecker graphs, correspond to generating random adjacency matrices where each...

By Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart SIAM Review, Volume 61, Issue 3, Page 403-440, January 2019. Multiserver queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines...

By Ben Adcock and Daan Huybrechs SIAM Review, Volume 61, Issue 3, Page 443-473, January 2019. Functions of one or more variables are usually approximated with a basis: a complete, linearly independent system of functions...

By Leslie Greengard and Shidong Jiang SIAM Review, Volume 61, Issue 4, Page 733-755, January 2019. We present a new integral representation for the unsteady, incompressible Stokes or Navier--Stokes equations, based on a linear combination...

By Jon Cockayne, Chris J. Oates, T. J. Sullivan, and Mark Girolami SIAM Review, Volume 61, Issue 4, Page 756-789, January 2019. Over forty years ago average-case error was proposed in the applied mathematics literature as an alternative criterion with which...

By Gábor Pataki SIAM Review, Volume 61, Issue 4, Page 839-859, January 2019. Semidefinite programs (SDPs)---some of the most useful and versatile optimization problems of the last few decades---are often...

By Catherine F. Higham and Desmond J. Higham SIAM Review, Volume 61, Issue 4, Page 860-891, January 2019. Multilayered artificial neural networks are becoming a pervasive tool in a host of application fields. At the heart of...

By Guo Luo and Thomas Y. Hou SIAM Review, Volume 61, Issue 4, Page 793-835, January 2019. Whether the three-dimensional incompressible Euler equations can develop a singularity in finite time from smooth initial data is one...

By Olga Y. Kushel SIAM Review, Volume 61, Issue 4, Page 643-729, January 2019. Multiplicative and additive $D$-stability, diagonal stability, Schur $D$-stability, and $H$-stability are classical concepts which arise in studying linear dynamical...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 4, Page 837-838, January 2019. The Education section of SIAM Review presents two papers in this issue. In the first paper Gábor Pataki ...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 4, Page 731-731, January 2019. Numerical solution of the Navier--Stokes equations in both two and three dimensions is the subject of the first of...

By Volker H. Schulz SIAM Review, Volume 61, Issue 4, Page 895-906, January 2019. The book reviews section serves to inform readers about current important books from a personal point of view. However,...

By The Editors SIAM Review, Volume 61, Issue 4, Page 791-791, January 2019. The SIGEST article in this issue is “Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 4, Page 641-641, January 2019. It is a safe bet that most readers use matrices in their work. It is often of interest to...

By Jie Shen, Jie Xu, and Jiang Yang SIAM Review, Volume 61, Issue 3, Page 474-506, January 2019. We propose a new numerical technique to deal with nonlinear terms in gradient flows. By introducing...

By Arjun S. Ramani, Nicole Eikmeier, and David F. Gleich SIAM Review, Volume 61, Issue 3, Page 549-595, January 2019. Common models for random graphs, such as Erdös--Rényi and Kronecker graphs, correspond to generating random adjacency matrices where each...

By Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart SIAM Review, Volume 61, Issue 3, Page 403-440, January 2019. Multiserver queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines...

By Ben Adcock and Daan Huybrechs SIAM Review, Volume 61, Issue 3, Page 443-473, January 2019. Functions of one or more variables are usually approximated with a basis: a complete, linearly independent system of functions...

By T. J. Dodwell, C. Ketelsen, R. Scheichl, and A. L. Teckentrup SIAM Review, Volume 61, Issue 3, Page 509-545, January 2019. In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo...

By Roger Cropp and John Norbury SIAM Review, Volume 61, Issue 3, Page 596-622, January 2019. Obligate mutualist interactions appear to be ubiquitous in nature but cannot be described by the simple models that have...

By The Editors SIAM Review, Volume 61, Issue 3, Page 507-507, January 2019. In this section we present “Multilevel Markov Chain Monte Carlo,” by T. J. Dodwell, C. Ketelsen, R. Scheichl, and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 3, Page 625-640, January 2019. This time, the Book Reviews section has a large portion of books devoted to system dynamics and applications. The...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 3, Page 441-441, January 2019. The issue of accurate function approximation is an important topic in numerical analysis. The first Research Spotlights article,...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 3, Page 401-401, January 2019. Johan S. H. van Leeuwaarden, Britt W. J. Mathijsen, and Bert Zwart are the authors of the Survey and...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 3, Page 547-548, January 2019. This issue of SIAM Review presents two papers in the Education section. The first is “Coin-Flipping, Ball-Dropping, and Grass-Hopping...

By Dan Wilson and Bard Ermentrout SIAM Review, Volume 61, Issue 2, Page 277-315, January 2019. While phase reduction is a tremendously useful tool for understanding the dynamics of weakly perturbed limit cycle oscillators,...

By Bernhard Beckermann and Alex Townsend SIAM Review, Volume 61, Issue 2, Page 319-344, January 2019. Matrices with displacement structure, such as Pick, Vandermonde, and Hankel matrices, appear in a diverse range of applications. In...

By Samuel Awoniyi and Ira Wheaton SIAM Review, Volume 61, Issue 2, Page 347-360, January 2019. This education article presents a case for first courses on Markov chain modeling to include the topic “sojourn time...

By Guodong Shi, Claudio Altafini, and John S. Baras SIAM Review, Volume 61, Issue 2, Page 229-257, January 2019. A signed network is a network in which each link is associated with a positive or negative sign....

By Richard D. Neidinger SIAM Review, Volume 61, Issue 2, Page 361-381, January 2019. Techniques of univariate Newton interpolating polynomials are extended to multivariate data points by different generalizations and practical algorithms. ...

By Beate Ehrhardt and Patrick J. Wolfe SIAM Review, Volume 61, Issue 2, Page 261-276, January 2019. We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible null...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 2, Page 259-259, January 2019. The paper “Network Modularity in the Presence of Covariates," by Beate Ehrhardt and Patrick J. Wolfe, is the first...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 2, Page 345-346, January 2019. This issue of SIAM Review contains two papers in the Education section. The first paper is “Case for First...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 2, Page 227-227, January 2019. ``Dynamics over Signed Networks,” by Guodong Shi, Claudio Altafini, and John S. Baras, is the Survey and Review article...

By Volker H. Schulz SIAM Review, Volume 61, Issue 2, Page 385-400, January 2019. Sometimes, people confuse artificial neural networks (ANNs) with real biological brains, at least metaphorically. The section starts with a...

By The Editors SIAM Review, Volume 61, Issue 2, Page 317-317, January 2019. The SIGEST article in this issue is “Bounds on the Singular Values of Matrices with Displacement Structure,” by Bernhard...

By Martin J. Gander and Hui Zhang SIAM Review, Volume 61, Issue 1, Page 3-76, January 2019. Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades an...

By Eddie Nijholt, Bob Rink, and Jan Sanders SIAM Review, Volume 61, Issue 1, Page 121-155, January 2019. Many systems in science and technology are networks: they consist of nodes with connections between them. Examples include electronic...

By Gjerrit Meinsma SIAM Review, Volume 61, Issue 1, Page 159-184, January 2019. A complete theory of dimensional and scaling analysis is presented and its power is demonstrated through a series of...

By Simone Carlo Surace, Anna Kutschireiter, and Jean-Pascal Pfister SIAM Review, Volume 61, Issue 1, Page 79-91, January 2019. Particle filters are a popular and flexible class of numerical algorithms to solve a large class of nonlinear filtering...

By Peter G. Fennell and James P. Gleeson SIAM Review, Volume 61, Issue 1, Page 92-118, January 2019. Multistate dynamical processes on networks, where nodes can occupy one of a multitude of discrete states, are gaining widespread...

By Silviu Filip, Aurya Javeed, and Lloyd N. Trefethen SIAM Review, Volume 61, Issue 1, Page 185-205, January 2019. The usual way in which mathematicians work with randomness is by a rigorous formulation of the idea of Brownian...

By Darinka Dentcheva SIAM Review, Volume 61, Issue 1, Page 157-158, January 2019. In this issue, the Education section of SIAM Review presents two papers. The first is “Dimensional and Scaling Analysis,”...

By Misha E. Kilmer SIAM Review, Volume 61, Issue 1, Page 77-77, January 2019. Short and to the point, “How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and...

By Volker H. Schulz SIAM Review, Volume 61, Issue 1, Page 209-225, January 2019. This time, the Book Reviews section has a large portion of reviews on books devoted to applications---in particular medical...

By J. M. Sanz-Serna SIAM Review, Volume 61, Issue 1, Page 1-1, January 2019. The Survey and Review article in this issue is “A Class of Iterative Solvers for the Helmholtz Equation: Factorizations,...

By The Editors SIAM Review, Volume 61, Issue 1, Page 119-119, January 2019. Over the last fifteen years, SIAM Review has published a range of articles in the general area of network...

By Lucas Castle
Applied mathematicians know the importance of recognizing and promoting mathematical innovation as it relates to industry, medicine, and engineering. They realize that ...

Have you ever tried to explain why applied math matters to your non-specialist friends and colleagues? How does it impact their everyday life? How is it shaping the future of technology? SIAM has ...

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 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.

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.

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.

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.

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 purpose of the SIAM Activity Group on Applied Mathematics Education is to advance the development and practice of educational programs, courses, and resources in applied mathematics.

SIAM Review (SIREV) consists of five sections, all containing articles of broad interest. A subscription to SIAM Review is provided free when you become a SIAM member.

Multiscale Modeling & Simulation
SIAM J. on Applied Algebra and Geometry
SIAM J. on Applied Dynamical Systems
SIAM J. on Applied Mathematics
SIAM J. on Computing
SIAM J. on Control and Optimization
SIAM J. on Discrete Mathematics
SIAM J. on Financial Mathematics
SIAM J. on Imaging Sciences
SIAM J. on Mathematical Analysis
SIAM J. on Matrix Analysis and Applications
SIAM J. on Numerical Analysis
SIAM J. on Optimization
SIAM J. on Scientific Computing
SIAM/ASA J. on Uncertainty Quantification
SIAM Review
Theory of Probability & Its Applications

General Opportunities

We know it can be overwhelming to keep track of career opportunities that may be relevant to you as a member of the SIAM community. So, we’ve compiled lists of some of our favorite fellowship, internship, and research opportunities. Check ‘em out!

Fellowships

Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.

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.