For contributions to knowledge discovery and data mining algorithms.

For contributions to the development of numerical methods for fluid dynamics and applying them to large-scale scientific and engineering problems.

For contributions to continuous optimization, both theory and applications, including the field of robust optimization.

For contributions to analysis and algorithms for graphs and networks and computational complexity analysis of control problems.

For fundamental contributions to the development, teaching, and practice of optimization in engineering.

For contributions to differential equations, predator-prey systems and harvesting, mathematical epidemiology of infectious diseases, and applied mathematics education.

For fundamental contributions to the theory, development, and practice of finite element methods, including mixed, hybrid, discontinuous, and virtual element Galerkin methods.

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

For contributions to stochastic optimal and adaptive control, filtering theory, and stochastic analysis.

For contributions to the numerical analysis of nonlinear partial differential equations.

For contributions to theoretical and numerical linear algebra.

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

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

For contributions to numerical algorithms and software in multi-linear algebra, optimization, and graph analysis.

For pioneering work in numerical methods and high-performance computing, multiscale modeling and computational fluid dynamics, and computational biology.

For seminal contributions to control of nonlinear and distributed parameter systems.

For contributions to the theory of stochastic and nonlinear dynamics and its application, and for promoting equity and diversity in mathematics.

For enduring influence on parallel computing systems and their adoption into mainstream use through scholarly research and development.

For contributions to numerical methods for partial differential equations and integral equations.

For contributions to the development, analysis, and application of sparse matrix algorithms for solving large-scale scientific and engineering problems.

For contributions to theory and computational methods for dynamical systems.

For contributions to matrix computations and numerical stability analysis, including fundamental insights into the Lanczos process.

For contributions to nonlinear control theory and nonlinear optimization.

For contributions to the theory of stochastic optimal control, viscosity solutions and mathematical finance.

For contributions to the theory and numerical solution of both deterministic and stochastic partial differential equations and their applications.

For contributions to scientific computing infrastructure including floating-point arithmetic and elementary-function computations and in transferring technology from academia to industry.

For contributions to the development of logic as a unifying foundational framework and a tool for modeling computational systems.

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

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

For contributions to convex optimization and matrix theory.

For contributions to stochastic systems theory, modeling, computational methods, and applications.

*Deceased