For contributions to multilevel iterative methods and adaptive numerical methods for partial differential equations.

For contributions to mathematical aspects of materials science, especially the modeling of martensitic transformation and its consequences.

For fundamental contributions to nonlinear waves.

For contributions to the theory of composite materials and the numerical simulation of wave phenomena.

For contributions to control and approximation of partial differential equations.

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

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

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

For contributions to sparse matrix algorithms and software, including the University of Florida Sparse Matrix Collection.

For contributions to applied and computational mathematics with applications in material science, computational geometry, and biology.

For contributions to mathematical programming algorithms, computation, and theory, particularly in the area of complementarity.

For contributions to global optimization and its application to a wide range of problems spanning systems engineering and computational biology.

For contributions to combinatorial optimization, and in particular to the design and analysis of approximation algorithms.

For fundamental contributions in the design, analysis, and implementation of algorithms for network optimization problems.

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

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

For contributions to relaxation schemes, numerical algorithms for kinetic equations and high frequency wave propagation.

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

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

For contributions to the understanding of how large-scale behaviors emerge from dynamics or structures on small-scales.

For contributions to mathematical biology, including behavioral ecology, conservation biology, fisheries management, and the biology of stem cells.

For contributions to mathematical biology, in particular the theory of pattern formation in biological systems.

For contributions to numerical analysis and the data sciences.

For contributions to matrix theory and algorithms, especially nonnegative matrices and computational methods for signal and image processing.

For contributions to mathematical neuroscience and mathematical physiology, in particular the dissection of complex fast-slow dynamical systems.

For contributions to applied dynamical systems involving the computational and analytical study of pattern formation in physical and biological systems.

For contributions to both theory and practice in the fields of image processing and computer vision.

For contributions to numerical optimization, linear algebra, and software.

For contributions to the theory and applications of spline functions, geometric design and finite elements.

For contributions to parallel computing and computational science.

For leadership in advancing applied mathematical education, including the creation of SIAM Undergraduate Research Online.

For contributions to linear algebra and mathematical biology.

For contributions to the understanding and application of chaotic dynamics.

*Deceased