This research area includes analysis of differential equations, especially those which occur in applications in the natural sciences, such as fluid dynamics, materials science, or mathematical physics. Analysis and Partial Differential Equations also includes topics like calculus of variations, harmonic/wavelet analysis, and classic analysis.

This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.

The prize was established in 1995, and named in honor of Germund Dahlquist for his early contributions to the theory of numerical analysis as applied to differential equations. It is awarded for original contributions to fields associated with his work.

Established by Idalia Reid in honor of her husband W. T. Reid and first awarded in 1994, the W. T. and Idalia Reid Prize in Mathematics is awarded annually in the broadly-defined areas of differential equations and control theory.

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.

By Wolf-Jürgen Beyn and Christian Döding SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5447-5488, October 2022. Traveling oscillating fronts (TOFs) are specific one-dimensional waves of the form $U_\star (x,t) = e^{-i \omega...

By Shijie Qi and Wenming Zou SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5424-5446, October 2022. In this paper, we are first concerned with the exact number and expressions of...

By Carlos Esteve-Yagüe and Enrique Zuazua SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5388-5423, October 2022. We prove that the viscosity solution to a Hamilton--Jacobi equation with a smooth convex Hamiltonian of...

By Lin Huang and Lun Zhang SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5291-5334, October 2022. In this paper, we consider a Cauchy problem for the modified Korteweg--de Vries hierarchy on the...

By Andrea Aspri, Elena Beretta, Elisa Francini, and Sergio Vessella SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5182-5222, October 2022. We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium...

By Beixiang Fang and Xin Gao SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5223-5267, October 2022. In this paper we are concerned with the existence of transonic shocks for two-dimensional steady isothermal...

By Wolf-Jürgen Beyn and Christian Döding SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5447-5488, October 2022. Traveling oscillating fronts (TOFs) are specific one-dimensional waves of the form $U_\star (x,t) = e^{-i \omega...

By Shijie Qi and Wenming Zou SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5424-5446, October 2022. In this paper, we are first concerned with the exact number and expressions of...

By Carlos Esteve-Yagüe and Enrique Zuazua SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5388-5423, October 2022. We prove that the viscosity solution to a Hamilton--Jacobi equation with a smooth convex Hamiltonian of...

By Lin Huang and Lun Zhang SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5291-5334, October 2022. In this paper, we consider a Cauchy problem for the modified Korteweg--de Vries hierarchy on the...

By Andrea Aspri, Elena Beretta, Elisa Francini, and Sergio Vessella SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5182-5222, October 2022. We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium...

By Beixiang Fang and Xin Gao SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5223-5267, October 2022. In this paper we are concerned with the existence of transonic shocks for two-dimensional steady isothermal...

By Mohamed Ghattassi, Xiaokai Huo, and Nader Masmoudi SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5335-5387, October 2022. We study the diffusive limit approximation for a nonlinear radiative heat transfer system that arises in...

By Martin Halla SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5268-5290, October 2022. In a recent article we started to analyze the time-harmonic equations of stellar oscillations. As a...

By Quentin Chauleur and Erwan Faou SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5103-5125, October 2022. We consider the logarithmic Schrödinger equations with damping, also called the Schrödinger--Langevin equation. On a periodic...

By Jianliang Li, Peijun Li, and Xu Wang SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5126-5159, October 2022. This paper is concerned with an inverse scattering problem for the time-harmonic elastic wave equation with...

By Mourad Sini and Haibing Wang SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, Page 5160-5181, October 2022. The inverse problem of reconstructing a source term from boundary measurements, for the wave equation, is...

By Iveta Semoradova and Petr Siegl SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 5064-5101, August 2022. Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic...

By Hamza Ennaji, Noureddine Igbida, and Van Thanh Nguyen SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 5041-5063, August 2022. In this paper we show that the maximal viscosity solution of a class of quasi-convex Hamilton--Jacobi...

By Florian Feppon and Wenjia Jing SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 5013-5040, August 2022. This article is a sequel to our previous work [SIAM J. Math. Anal., 53 (2021), pp....

By Thomas Eiter SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4987-5012, August 2022. Consider the time-periodic flow of an incompressible viscous fluid past a body performing a rigid motion...

By Mats Ehrnström, Mark D. Groves, and Dag Nilsson SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4954-4986, August 2022. We prove the existence of small-amplitude modulated solitary waves for the full-dispersion Kadomtsev--Petviashvilii (FDKP) equation with...

By Liang-Biao Chen and Peng-Fei Yao SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4930-4953, August 2022. We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces $S$...

By Youshan Tao and Michael Winkler SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4806-4864, August 2022. This manuscript considers a Neumann initial-boundary value problem for the predator-prey system $ ...

By Fei Jiang, Song Jiang, and Youyi Zhao SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4891-4929, August 2022. The global existence of small smooth solutions to the equations of two-dimensional incompressible, inviscid, nonresistive magnetohydrodynamic...

By Wenshu Zhou SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4865-4890, August 2022. We consider the nonhomogeneous initial boundary value problem for a simplified compressible Navier--Stokes system with...

By Xinfu Chen, John Chadam, and David Saunders SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4695-4720, August 2022. Consider the inverse first-passage problem: Given a diffusion process $\{{\frak X}_{t}\}_{t\geqslant 0}$ on a...

By Claudia Fonte and Valentin Schmutz SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4721-4756, August 2022. We study the asymptotic stability of a two-dimensional mean-field equation, which takes the form of a...

By Alberto Bressan, Sondre T. Galtung, and Qing Sun SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4757-4784, August 2022. The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given...

By Thomas Giletti, Ho-Youn Kim, and Yong-Jung Kim SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4785-4805, August 2022. Traveling wave solutions of reaction-diffusion equations are well studied for Lipschitz continuous monostable and bistable reaction...

By Yue Cao, Hao Li, and Shengguo Zhu SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4658-4694, August 2022. In this paper, the Cauchy problem for the one-dimensional isentropic compressible Navier--Stokes equations...

By Raz Kupferman and Roee Leder SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4625-4657, August 2022. We address three related problems in the theory of elasticity, formulated in the framework of double...

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 Dorin Bucur, Alessandro Giacomini, and Paola Trebeschi SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4591-4624, August 2022. We formulate a generalization of the Laplace equation under Robin boundary conditions on a large class...

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 Daniel Adams, Manh Hong Duong, and Gonçalo dos Reis SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4495-4535, August 2022. The theory of Wasserstein gradient flows in the space of probability measures has made enormous progress...

By Stéphane Lafortune and Dmitry E. Pelinovsky SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4572-4590, August 2022. We prove spectral instability of peakons in the $b$-family of Camassa--Holm equations that includes the integrable...

By Lan Zhang, Huijiang Zhao, and Qingsong Zhao SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4536-4571, August 2022. We show in this paper that rarefaction waves of the one-dimensional compressible Navier--Stokes--Poisson system are time-asymptotically...

By Dominic Breit, Eduard Feireisl, Martina Hofmanová, and Ewelina Zatorska SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4465-4494, August 2022. We consider the barotropic Navier--Stokes system driven by a physically well-motivated transport noise in both a...

By Yu Pei and Wei Xiang SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4407-4451, August 2022. For a uniformly supersonic flow past a convex cornered wedge with the pressure being given for...

By Jacob Bedrossian, Nader Masmoudi, and Clément Mouhot SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4379-4406, August 2022. In this paper we study the linearized Vlasov--Poisson equation for localized disturbances of an infinite, homogeneous...

By Mihaela Ifrim, Ben Pineau, Daniel Tataru, and Mitchell Taylor SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4452-4464, August 2022. We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions....

By T. Kappeler and P. Topalov SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4334-4378, August 2022. We prove an infinite-dimensional version of the Arnold--Liouville theorem for integrable nonlinear PDEs. In a case...

By Dominik Forkert, Jan Maas, and Lorenzo Portinale SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4297-4333, August 2022. We consider finite-volume approximations of Fokker--Planck equations on bounded convex domains in $\mathbb{R}^d$ and study the...

By Eitan Tadmor and Changhui Tan SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4277-4296, August 2022. We study the global well-posedness of the Euler--Monge--Ampère (EMA) system. We obtain a sharp, explicit critical...

By Wenhua He, Ruixiang Xing, and Bei Hu SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4238-4276, August 2022. In this paper, we consider a mixed system of free boundary problem modeling ...

By Zongguang Li SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4163-4197, August 2022. In this paper we consider the Cauchy problem on the angular cutoff Boltzmann equation near global...

By Pierre Cardaliaguet and Panagiotis Souganidis SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4198-4237, August 2022. We introduce a notion of a weak solution of the master equation without ...

By Claudiu Mîndrilă and Sebastian Schwarzacher SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4139-4162, August 2022. Under the action of a time-periodic external force we prove the existence of at least one...

By Sebastian Schwarzacher and Matthias Sroczinski SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4104-4138, August 2022. We show weak-strong uniqueness and stability results for the motion of a two- or three-dimensional fluid...

By Dongho Chae, Qianyun Miao, and Liutang Xue SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4043-4103, August 2022. In this paper we address the temperature patch problem of the two-dimensional viscous Boussinesq system without...

By Kazuo Yamazaki SIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 3997-4042, August 2022. We study the two-dimensional Navier--Stokes equations forced by random noise with a diffusive term generalized via...

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 Mauro Perego
Ice sheet modeling contributes to the accurate projection of future sea level rise — a growing threat that will greatly impact coastal populations and infrastructure. One can ...

By Anima Anandkumar
Many scientific applications heavily rely on brute-force numerical methods that are implemented on high-performance computing infrastructures. Over the years, hardware ...

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.

The prize was established in 1995, and named in honor of Germund Dahlquist for his early contributions to the theory of numerical analysis as applied to differential equations. It is awarded for original contributions to fields associated with his work.

Established by Idalia Reid in honor of her husband W. T. Reid and first awarded in 1994, the W. T. and Idalia Reid Prize in Mathematics is awarded annually in the broadly-defined areas of differential equations and control theory.

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.

Established in 2011, the prize honors Gábor Szegö, a foremost mathematical analyst. It is awarded to one individual in their early career for outstanding research contributions in the area of orthogonal polynomials and special functions, as evidenced in publication in peer-reviewed journals.

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 2005, the paper is awarded to the author or authors of the most outstanding paper, as determined by the selection committee, on a topic in partial differential equations.

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.

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.

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.

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.

This activity group fosters activity in the analysis of partial differential equations and enhances communication between analysts, computational scientists and the broad partial differential equations community. Its goals are to provide a forum where theoretical and applied researchers in the area can meet, to be an intellectual home for researchers in the analysis of partial differential equations, to increase conference activity in partial differential equations, and to enhance connections between SIAM and the mathematics community.

This activity group promotes basic research in orthogonal polynomials and special functions; furthers the application of this subject in other parts of mathematics, and in science and industry; and encourages and supports the exchange of information, ideas, and techniques between workers in this field and other mathematicians and scientists.

SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods.

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.