For contributions to optimal control, optimization theory, and numerical optimization algorithms.

For contributions to numerical ordinary differential equations and geometric integration.

For contributions to numerical linear algebra, including the LAPACK project.

For contributions to algorithms for rank-deficient and discrete ill-posed problems and regularization techniques.

For leadership in theoretical ecology, helping to lay the foundation for scientifically-based agriculture and resource management.

For contributions in computational science and engineering, especially parallel computing.

For contributions to graph theory.

For contributions to combinatorial and parallel algorithms in scientific computing.

For research, leadership, and community building in software and algorithms for scientific and high-performance computing.

For advances in high-order numerical methods for partial differential equations and applications.

For contributions to numerical analysis and stochastic computation.

For contributions to numerical linear algebra and rounding error analysis.

For contributions to the stability analysis and control of dynamical systems.

For contributions to theoretical and numerical optimization, and for their application.

For contributions to the design and analysis of approximation algorithms, flow problems, and their innovative use in applications, and in solving NP-hard problems.

For contributions to nonlinear partial differential equations and related fields, to research administration, and to the dissemination of mathematics.

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

For contributions to computational biology, numerical relativity, and scientific computation.

For advances in the design and analysis of algorithms.

For contributions to fluid mechanics and multiscale analysis.

For contributions to mathematical ecology and in particular the theory of the chemostat and competing species in ecology.

For contributions to network flows, integer programming, and combinatorial algorithms.

For contributions to the analysis of nonlinear stochastic signals and applications in science and engineering.

For the development of finite element methods for solid, structural, and fluid mechanics.

For contributions to the numerical solution of partial differential equations and modeling of biological systems.

For bridging the gap between advanced numerical linear algebra techniques and biomedical signal processing.

*Deceased