For advances in the analysis of experimental data.

For contributions to theory and software of iterative methods for nonlinear systems and optimization, as well as application of these methods to scientific simulations.

For his pioneering work in kinematics and the numerical solution of polynomial systems.

For contributions to the theory of elasticity and to developmental biology, and for outstanding service to the mathematical sciences.

For contributions to computational biology.

For pioneering the theoretical development, algorithm design, software implementation, and application of homotopy methods.

For contributions to the theory of dynamical systems and partial differential equations.

For powerful and elegant numerical algorithms derived from complex analysis.

For contributions to the analysis and applications of nonlinear waves.

For contributions to the numerical solution of partial differential equations.

For fundamental contributions to the modeling of interfacial problems, the study of ice, geophysics, and climate dynamics.

For contributions to modeling and computational simulation in the geosciences.

For significant achievements in broadening participation in mathematics and important contributions to multiple fields in applied mathematics, especially fluid mechanics.

For contributions to the theory of domain decomposition methods.

For contributions to model reduction and multifidelity methods, with applications in optimization, control, design, and uncertainty quantification of large-scale systems.

For development of conceptual and physical aspects of modeling dynamical systems.

For contributions to mathematical foundations of machine learning, large-scale data science, and computational imaging.

For contributions to the understanding of combustion processes.

For contributions to the study of stochastic processes and their applications.

For fundamental contributions to the design and analysis of approximation algorithms.

For the study of network traffic and the internet.

For scientific leadership and contributions to fast algorithms in computer science.

For sustained seminal contributions to the field of numerical mathematics and for exemplary leadership and service to the computational science community.

For contributions to convex optimization and matrix theory.

For the development and application of numerical algorithms and software for large-scale simulations of complex physical phenomena.

For contributions to numerical optimization and service to the profession.

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

For fundamental contributions to nonlinear optimization, including algorithm design, theory, and software.

*Deceased