For contributions to linear algebra, systems, and control and their applications in engineering.

For contributions to differential equations and dynamics.

For investigations of nonlinear dynamics and pattern formation.

For contributions to stochastic modeling, spectral elements, and fluid mechanics.

For contributions to the theory of algorithms and the theory of NP-completeness.

For contributions to wave propagation, nonlinear dynamics, optical fibers and waveguides, and computational neuroscience.

For pioneering the mathematics of cardiac electrophysiology, elucidating scroll waves, the bidomain equations, and the mechanism of defibrillation.

For contributions in many areas of applied mathematics.

For contributions to nonlinear equations, optimization, and flow in porous media.

For research contributions in chemical engineering, applied mathematics, and the computational sciences.

For fundamental contributions to the existence, stability, and dynamics of nonlinear waves with applications to atomic, optical, and materials physics.

For contributions to implicit methods for the solution of partial differential equations and dedicated service to the scientific community.

For contributions to nonlinear partial differential equations, the calculus of variations, and mathematical aspects of materials science.

For contributions to stochastic and non-autonomous dynamical systems.

For contributions to pattern formation and nonlinear dynamics, bifurcation theory and fluid dynamics.

For contributions to the analysis of algorithms, exceptionally influential books, and the creation of TeX.

For contributions to computational mathematics and development of numerical methods for eigenvalue problems.

For contributions to nonlinear partial differential equations, calculus of variations, phase transformations, and composite materials.

For contributions to semidefinite optimization and complementarity problems.

For contributions to numerical algorithms and software in multi-linear algebra, optimization, and graph analysis.

For contributions to dynamical systems theory and mathematical neuroscience.

For pioneering work in numerical methods and high-performance computing, multiscale modeling and computational fluid dynamics, and computational biology.

For contributions to control and estimation of nonlinear dynamical systems and stochastic processes.

For contributions to the analysis of problems of electromagnetics and heating.

For seminal contributions to control of nonlinear and distributed parameter systems.

For landmark contributions to mathematical physics and inverse problems.

For seminal contributions to game theory and to linear and nonlinear programming, and for leadership of SIAM in its early years.

For contributions to data mining and high performance computing.

For contributions to inverse problems, approximation to infinite dimensional control systems, and computational methods.

For contributions to stochastic control theory.

For contributions to the theory of stochastic and nonlinear dynamics and its application, and for promoting equity and diversity in mathematics.

For contributions to our understanding of matrix pencils and for leadership within the European high performance computing community.

For advances in hyperbolic conservation laws and the study of shock waves.