This research area covers mathematical models and methods that are of interest to applications in the physical, engineering, financial, and life sciences such as fluid mechanics, solid mechanics, elasticity, electromagnetic theory and optics, materials science, mathematical biology, linear and nonlinear wave propagation, inverse problems, nonlinear dynamics, and stochastic processes.

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.

Established in 1998 in memory of Ralph E. Kleinman, the prize recognizes contributions that bridge the gap between high-level mathematics and engineering problems. The award is based on the quality and impact of the mathematics.

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.

MGB-SIAM Early Career Fellowship applications are now open! This fellowship recognizes the achievements of early career applied mathematicians – particularly those belonging to racial and ethnic ...

By Maria Bruna, Martin Burger, Antonio Esposito, and Simon M. Schulz SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1635-1660, August 2022. The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems,...

By Habib Ammari, Francesco Fiorani, and Erik Orvehed Hiltunen SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1611-1634, August 2022. The goal of this paper is to relate the capacitance matrix formalism to the tight-binding approximation....

By Yifan Hua, Kevin Miller, Andrea L. Bertozzi, Chen Qian, and Bao Wang SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1558-1586, August 2022. We propose near-optimal overlay networks based on $d$-regular expander graphs to accelerate decentralized federated learning (DFL)...

By Gui-Quan Sun, Hong-Tao Zhang, Li-Li Chang, Zhen Jin, Hao Wang, and Shigui Ruan SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1587-1610, August 2022. Foot-and-mouth disease (FMD) is an acute and highly contagious infectious disease of cloven-hoofed animals. In order...

By Cameron Davies, Tongseok Lim, and Robert J. McCann SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1520-1536, August 2022. Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to...

By Guillermo H. Goldsztein SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1537-1557, August 2022. On June 10, 2000, the Millennium Bridge in London opened to the public. As people crossed...

By Valentin D. Kunz and Raphael Assier SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1495-1519, August 2022. In this paper, we revisit Radlow's innovative approach to diffraction by a penetrable wedge by means...

By Maria Bruna, Martin Burger, Antonio Esposito, and Simon M. Schulz SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1635-1660, August 2022. The aim of this paper is to discuss the mathematical modeling of Brownian active particle systems,...

By Habib Ammari, Francesco Fiorani, and Erik Orvehed Hiltunen SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1611-1634, August 2022. The goal of this paper is to relate the capacitance matrix formalism to the tight-binding approximation....

By Yifan Hua, Kevin Miller, Andrea L. Bertozzi, Chen Qian, and Bao Wang SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1558-1586, August 2022. We propose near-optimal overlay networks based on $d$-regular expander graphs to accelerate decentralized federated learning (DFL)...

By Gui-Quan Sun, Hong-Tao Zhang, Li-Li Chang, Zhen Jin, Hao Wang, and Shigui Ruan SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1587-1610, August 2022. Foot-and-mouth disease (FMD) is an acute and highly contagious infectious disease of cloven-hoofed animals. In order...

By Cameron Davies, Tongseok Lim, and Robert J. McCann SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1520-1536, August 2022. Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to...

By Guillermo H. Goldsztein SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1537-1557, August 2022. On June 10, 2000, the Millennium Bridge in London opened to the public. As people crossed...

By Valentin D. Kunz and Raphael Assier SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1495-1519, August 2022. In this paper, we revisit Radlow's innovative approach to diffraction by a penetrable wedge by means...

By Noa Kraitzman, Keith Promislow, and Brian Wetton SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1470-1494, August 2022. We derive a thermodynamically consistent model for liquid-solid phase change in sea ice by incorporating a...

By Ralf Hiptmair, Andrea Moiola, and Euan A. Spence SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1446-1469, August 2022. We consider the Helmholtz transmission problem with piecewise-constant material coefficients and the standard associated direct boundary...

By Fabio Ancona, Alberto Bressan, and Maria Teresa Chiri SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1423-1445, August 2022. We model an artificial root which grows in the soil for underground prospecting. Its evolution is...

By Joseph D. Johnson, Adam M. Redlich, and Daniel M. Abrams SIAM Review, Volume 64, Issue 3, Page 625-639, August 2022. Firms in the U.S. spend over $200 billion each year advertising their products to consumers, around one percent...

By Demi L. Gandy and Martin R. Nelson SIAM Review, Volume 64, Issue 3, Page 728-747, August 2022. The Gray--Scott model is a widely studied autocatalytic model that exhibits a range of interesting pattern formation behavior, as...

By Volker H. Schulz SIAM Review, Volume 64, Issue 3, Page 751-759, August 2022. The section starts with two hot topics combined into one book: data-driven science and COVID-19. In our featured review,...

By Manlio Gaudioso and Jean-Baptiste Hiriart-Urruty SIAM Review, Volume 64, Issue 3, Page 713-727, August 2022. We consider, and study with elementary calculus, the polyhedral norms $||x||_{(k)}=$ sum of the $\mathit{k}$ largest among the $|x_{i}|$'s....

By Qinmeng Zou and Frédéric Magoulès SIAM Review, Volume 64, Issue 3, Page 517-553, August 2022. The primary aim of this paper is to provide a review of the last few decades of research focused...

By Darinka Dentcheva SIAM Review, Volume 64, Issue 3, Page 711-712, August 2022. This issue of SIAM Review presents two papers in the Education section. The first paper, “Deforming $\|\cdot\|_1$ into $\|\cdot\|_\infty$...

By Nate Veldt, Austin R. Benson, and Jon Kleinberg SIAM Review, Volume 64, Issue 3, Page 650-685, August 2022. The minimum $s$-$t$ cut problem in graphs is one of the most fundamental problems in combinatorial optimization, and graph...

By Paolo Guasoni and Yu-Jui Huang SIAM Review, Volume 64, Issue 3, Page 689-709, August 2022. Federal student loans are fixed-rate debt contracts with three main special features: (i) borrowers can use income-driven schemes to...

By Misha E. Kilmer SIAM Review, Volume 64, Issue 3, Page 623-624, August 2022. What's in a name [brand]? In the first of three Research Spotlights articles this issue, authors Joseph D....

By Mark Van der Boor, Sem C. Borst, Johan S. H. Van Leeuwaarden, and Debankur Mukherjee SIAM Review, Volume 64, Issue 3, Page 554-622, August 2022. In this survey we provide an overview of recent advances on scalable load balancing schemes which provide favorable delay...

By The Editors SIAM Review, Volume 64, Issue 3, Page 687-687, August 2022. In this section we present “Minimizing the Repayment Cost of Federal Student Loans,” by Paolo Guasoni and Yu-Jui Huang....

By Andy Wathen SIAM Review, Volume 64, Issue 3, Page 640-649, August 2022. The solution of systems of linear(ized) equations lies at the heart of many problems in scientific computing. In particular,...

By J. M. Sanz-Serna SIAM Review, Volume 64, Issue 3, Page 515-515, August 2022. This issue contains two Survey and Review papers. The first, by Qinmeng Zou and Frédéric Magoulès, is “Delayed Gradient...

By Conway Li, Neville Fowkes, and Miccal Matthews SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1411-1422, August 2022. The conformal mapping technique has long been used to obtain exact solutions to Laplace's equation in...

By Ory Schnitzer and Richard Porter SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1387-1410, August 2022. Localized wave oscillations in an open system that do not decay or grow in time, despite...

By Jorge Aguayo and Hugo Carrillo Lincopi SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1369-1386, August 2022. From the steady Stokes and Navier--Stokes models, a penalization method has been considered by several authors...

By Nathan Willis, Chee Han Tan, Christel Hohenegger, and Braxton Osting SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1312-1335, August 2022. In the ice-fishing problem, a half-space of fluid lies below an infinite rigid plate (``the ice'')...

By Conway Li, Neville Fowkes, Brendan Florio, and Miccal Matthews SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1356-1368, August 2022. In contexts such as space travel, thermal radiation is the primary mode of heat transfer. The...

By Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, and Sonia Fliss SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1287-1311, August 2022. The Half-Space Matching (HSM) method has recently been developed as a new method for the solution...

By Nan Liang, Maoxing Liu, Yongzheng Sun, Rui Xiao, and Lingzhi Zhao SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1336-1355, August 2022. In this paper, time and energy costs for achieving synchronization of the Kuramoto-oscillator network...

By Nicolás Alejandro Barnafi Wittwer, Simone Di Gregorio, Luca Dede', Paolo Zunino, Christian Vergara, and Alfio Quarteroni SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1167-1193, August 2022. The importance of myocardial perfusion at the outset of cardiac disease remains largely understudied. To address...

By Thomas Dagès and Alfred M. Bruckstein SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1246-1266, August 2022. Random pairwise encounters often occur in large populations or groups of mobile agents, and various types...

By Christina Schenk and Volker H. Schulz SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1220-1245, August 2022. Predictive modeling is key for saving time and resources in manufacturing processes such as fermentation arising...

By B. Niethammer, R. L. Pego, A. Schlichting, and J. J. L. Velázquez SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1194-1219, August 2022. We study the Becker--Döring bubblelator, a variant of the Becker--Döring coagulation-fragmentation system that models the growth...

By Kai Jiang, Wei Si, and Jie Xu SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1267-1286, August 2022. We propose a spectral viewpoint for grain boundaries that are generally quasiperiodic. To accurately capture the...

By Yury Grabovsky SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1135-1166, August 2022. Material response of real, passive, linear, time-invariant media to external influences is described by complex analytic...

By Jianliang Li, Peijun Li, and Xu Wang SIAM Journal on Applied Mathematics, Volume 82, Issue 4, Page 1113-1134, August 2022. This paper addresses the direct and inverse source problems for the stochastic acoustic, biharmonic, electromagnetic, and...

MGB-SIAM Early Career Fellowship applications are now open! This fellowship recognizes the achievements of early career applied mathematicians – particularly those belonging to racial and ethnic ...

Symposium on Simplicity in Algorithms is a conference in theoretical computer science dedicated to advancing algorithms research by promoting simplicity and elegance in the design and analysis of ...

The aim of ALENEX is to provide a forum for the presentation of original research in the design, implementation, and experimental evaluation of algorithms and data structures. Typical submissions ...

By Mark Levi
In his very entertaining book [1], V. Arnold discusses the adiabatic invariance of the pendulum — a classical problem that Einstein addressed when quantum mechanics was being ...

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 ...

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.

Established in 1998 in memory of Ralph E. Kleinman, the prize recognizes contributions that bridge the gap between high-level mathematics and engineering problems. The award is based on the quality and impact of the mathematics.

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 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.

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 2019, the prize is awarded every two years to an early career researcher for recent contributions in the field of partial differential equations.

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 George Pólya Prize in Mathematics was established in 1992 as an extension into other fields of the George Pólya Prize in Combinatorics. It is awarded in areas of interest to George Pólya not covered by SIAM’s other Pólya Prizes.

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.

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.

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.

Established in 2022 in memory of Renata Babuska, the prize is awarded every two years in recognition of high-quality interdisciplinary work that targets any aspect of modeling and numerical solution of a specific engineering or scientific application, including mathematical modeling, numerical analysis, algorithms, and validation.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to six of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.

The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.

SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest, focusing on the subjects of physical, engineering, financial, and life sciences. SIAP is the founding journal of SIAM, with the first volume of the journal published in 1953. The foundations and evolution of applied mathematics can be found in this journal.

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.