For contributions to the theory and application of nonlinear waves.

For contributions to the numerical analysis of integral equations and to the teaching of numerical analysis.

For contributions to the cross-fertilization between industrial problems and advanced theory of partial differential equations.

For contributions to computational methods in optimal control and nonlinear programming with industrial applications.

For contributions to understanding of phenomena in nonlinear and stochastic dynamical systems, turbulent transport, and mixing.

For research on numerical methods for partial differential equations and their application to the simulation of flows in porous media.

For contributions to mathematics and industry in the areas of numerical linear algebra, random matrix theory, and parallel computing.

For contributions to parallel computing and modeling and simulation of fluid-structure interaction problems.

For contributions to asymptotic analysis for random media and financial mathematics.

For pioneering work on random graphs and probabilistic analysis of combinatorial algorithms.

For extraordinary interdisciplinary work on the mathematics of sea ice.

For contributions in computer-aided geometric design and leadership in industrial mathematics.

For contributions to algorithms and software for high performance scientific computing, including the development of MPI.

For contributions to nonlinear dynamics spanning the range from theory to applications.

For contributions to numerical linear algebra, perturbation theory, and applications.

For contributions to dynamical systems, nonlinear partial differential equations, and applications in nonlinear optics, ocean dynamics, and neuroscience.

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

For contributions to optimal control with biological and physical applications and for contributions to undergraduate research.

For contributions to sparse linear algebra and high performance computing.

For the development of novel applied mathematics ideas and methods for signal processing and digital communication.

For seminal contributions to the theory and algorithms of optimization and applications to machine learning.

For contributions to asymptotic and perturbation methods, bifurcation theory, nonlinear dynamics, pattern formation, stochastic dynamical systems and combustion theory.

For mathematical contributions to the underpinnings of telecommunications products and his support of SIAM.

For contributions to numerical linear algebra, matrix theory, differential-algebraic equations, mathematical software, and the transfer of knowledge to and from industry.

For contributions to variational analysis, optimization, and optimal control.

For contributions to numerical methods for partial differential equations.

For contributions to the study of free boundary problems and phase transitions.

For contributions to numerical linear algebra.

For pioneering contributions to parallel algorithms for numerical linear algebra.

For contributions to computational molecular biophysics and to numerical ordinary differential equations and linear algebra.

For fundamental contributions to statistical physics, integrable systems, and probability theory including random matrix theory and its applications.

For contributions to the theory and computational aspects of linear and nonlinear optimization.

For contributions to the theory and applications of multilevel and adaptive numerical methods.

For contributions to nonlinear optimization and leadership of computational mathematics in China.

*Deceased