For seminal contributions in regularity theory of nonlinear partial differential equations, free boundary problems, fully nonlinear equations, and nonlocal diffusion.

For advances in physical applied mathematics and in mathematics applied to physical systems.

For advances in scalable implicit methods for linear and nonlinear partial differential equations and wide application in science and engineering.

For contributions to stochastic, adaptive and large scale systems.

For seminal contributions to inverse scattering theory, the existence of transmission eigenvalues, and non-scattering phenomena.

For deep contributions to information theory.

For outstanding contributions to numerical linear algebra, Bayesian scientific computing, and inverse problems and applications, and for extraordinary mentoring activities.

For contributions to analysis and algorithms for differential algebraic equations.

For pioneering work in mathematics of information, compressive sensing, computational harmonic analysis, statistics, and scientific computing.

For contributions to the modeling and analysis of partial differential equations motivated by applications in the life sciences.

For contributions to signals, statistics, and mathematical finance.

For his outstanding contributions to applied mathematics in complex particle dynamics and service to the Applied Mathematics Community of the European Mathematical Society.

For theoretical and practical developments in continuous optimization.

For contributions to the mathematical modeling of infectious diseases and for leadership as a mentor and teacher.

For contributions to high-performance and parallel algorithms and to combinatorial scientific computing.

For contributions to numerical analysis and image processing, and for service to the mathematical community.

For advances in numerical linear algebra and imaging science, including the theory of Toeplitz solvers.

For his outstanding contributions to physical and biological modeling as well as for his asymptotic methods development in applied mathematics.

For contributions to the mathematical analysis of partial differential equations, fluid mechanics, hyperbolic systems of conservation laws, and shock waves.

For contributions to optimization, stochastic variational inequalities, and nonsmooth analysis.

For significant contributions to adaptive finite element methods, multiscale analysis and computation, and seismic imaging.

For contributions to inverse problems in acoustics and electromagnetic theory.

For significant contributions to numerical methods for hyperbolic systems of conservation laws and important service to the applied mathematics community.

For contributions to computational fluid dynamics.

For contributions to computational science and engineering in the areas of numerical linear algebra and high-performance computing.

For contributions to combinatorics, graph theory, and their applications.

For contributions to numerical analysis and computational mechanics, particularly to the development of the mathematical theory of finite element methods and the modeling of elastic structures.

For contributions to differential equations and science policy.

For contributions to adaptive and numerical methods for partial differential equations in science and engineering.

For contributions to large-scale, sparse numerical optimization, financial optimization, and leadership in mathematics education and engagement with industry.

For fundamental contributions to acoustic and electromagnetic scattering theory, and inverse problems in wave phenomena.

For pioneering and groundbreaking contributions to signal processing, tensor decompositions, and was instrumental in creating independent component analysis.

For fundamental contributions to optimization theory, software and industrial practice.

For contributions to the mathematical analysis of nonlinear partial differential equations, fluid dynamics, and turbulence.

For contributions to financial mathematics and stochastic analysis.

For contributions to the Traveling Salesman Problem and other combinatorial optimization problems.

For contributions to fluid mechanics.

For contributions to the control and optimization of network systems.

For contributions to numerical methods for incompressible fluid dynamics and leadership in promoting diversity in the mathematical sciences.

For contributions to optimization under uncertainty and its implementation in industrial practice, and for leadership in mentoring young researchers.

For seminal contributions to computational biology through the design of graph-based algorithms and insights into network distance measures.

For service to SIAM and the applied mathematics and computational science community.

For pioneering work in computational dynamics, and for mentorship of young researchers, particularly in the African American community.

For contributions to theory and algorithms in signal processing, artificial neural networks, and distributed computing systems.

*Deceased