For contributions to combinatorics, graph theory, and their applications.

For contributions to analytical and numerical methods for statistical transport problems in complex particle systems.

For contributions to partial differential equations and fluid dynamics.

For fundamental contributions to the constructive theory of orthogonal polynomials with applications to approximation theory.

For contributions to numerical methods and software for ordinary differential equations and differential-algebraic equations.

For contributions to sparse matrix computations.

For contributions to numerical methods for compositional and thermal fluid flow processes in porous media, ocean dynamics, and digital stewardship.

For his seminal contributions to the mathematical foundations of uncertainty quantification methods.

For contributions to optimization of systems governed by partial differential equations and leadership to promote computational science and engineering.

For contributions to the development and analysis of algorithms for sparse matrix problems.

For contributions to numerical analysis and scientific computing, particularly concerning adjoint methods, stochastic simulation, and Multilevel Monte Carlo.

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

For contributions to eigenvalue problems and their applications in vibration theory in engineering.

For contributions to the understanding of complex rhythms in cardiac and respiratory systems.

For contributions to the control of rockets and spacecraft.

For contributions to operator algebras, partial differential equations, mathematical physics, and especially shock wave theory.

For contributions to variational inequalities and fluid and solid mechanics.

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

For contributions to operator theory.

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

For extraordinary interdisciplinary work on the mathematics of sea ice.

For contributions to nonlinear, discrete, and convex optimization.

For contributions to coding theory, data encryption, communications, and mathematical games.

For contributions to nonlinear dynamics and bifurcation theory.

For contributions to interior point methods for continuous optimization.

For contributions to nonlinear elasticity and theories of biological growth.

For her contribution to strong-stability-preserving time discretizations and other schemes for hyperbolic equations, and for her professional services including those to SIAM and women in mathematics.

For contributions to numerical continuous optimization.

For contributions to discrete mathematics and its applications.

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

For contributions to theoretical and numerical linear algebra.

For creation of the Fast Multipole Method and other fast algorithms.

For fundamental contributions to algorithmic differentiation and to iterative methods for nonlinear optimization.

For contributions to combinatorics and graph theory.

For contributions to combinatorial optimization and discrete mathematics.

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

For contributions to theoretical and computational dynamical systems and mathematical neuroscience.

For contributions to control of fluids and scientific computing.

For contributions to statistical mechanics, combinatorics and their connections.