For contributions to the theory of partitions and combinatorics.

For contributions to nonlinear elasticity.

For contributions to finite elements and the numerical analysis of partial differential equations.

For contributions to algebraic geometry.

For contributions to the theory of special functions.

For contributions to the finite element method.

For contributions to robotics, the control of mechanical systems, and mathematical systems theory.

For contributions to molecular photonics.

For contributions to control and inverse problems for partial differential equations.

For contributions to mathematical physics.

For contributions to numerical methods for the partial differential equations of computational science.

For contributions to stochastics and control.

For the development of adaptive algorithms and software for partial differential equations.

For contributions to mathematical statistics.

For contributions to chemistry and engineering.

For contributions to establishing the fields of industrial and applied mathematics and for his service to those fields.

For contributions to the theory of splines and other problems related to the approximation of functions.

For multigrid theory and algorithms.

For contributions to algorithms, numerical analysis, and computational number theory.

For contributions to dynamics and control.

For advances in martingale transforms and applications of probabilistic methods in analysis.

For contributions to systems and control.

For advances in physical applied mathematics and in mathematics applied to physical systems.

For contributions to stochastic, adaptive and large scale systems.

For contributions to signals, statistics, and mathematical finance.

For contributions to inverse problems in acoustics and electromagnetic theory.

For contributions to computational fluid dynamics.

For contributions to numerical analysis and computational mechanics, particularly to the development of the mathematical theory of finite element methods and the modeling of elastic structures.

For contributions to differential equations and science policy.

For contributions to adaptive and numerical methods for partial differential equations in science and engineering.

For contributions to the Traveling Salesman Problem and other combinatorial optimization problems.

For contributions to fluid mechanics.

For contributions to hyperbolic systems of conservation laws.

For contributions to the theory of wavelets and computational harmonic analysis.

For contributions to computational geometry and optimization.

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

For contributions in modeling, simulation, numerical methods and their diverse applications.

For advances in oceanography and climate dynamics.

For contributions to numerical linear algebra, including EISPACK, LINPACK, and LAPACK, and high-performance computing.

For contributions to theoretical and computational statistics, signal processing and harmonic analysis.

For contributions to wetting and flow in porous media.

For analysis of multiscale and stochastic problems.

For contributions to numerical linear algebra and applications to finite elements and computational fluid dynamics.

For contributions to inverse and ill-posed problems.

For contributions to optimal control.

For contributions to numerical continuous optimization.

For contributions to nonlinear partial differential equations and the calculus of variations.

For contributions to partial differential equations and their applications.

For contributions to partial differential equations and fluid dynamics.

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

For contributions to sparse matrix computations.

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 operator theory.

For contributions to nonlinear dynamics and bifurcation theory.

For contributions to interior point methods for continuous optimization.

For contributions to numerical continuous optimization.

For contributions to discrete mathematics and its applications.

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

For contributions to combinatorics and graph theory.

For contributions to combinatorial optimization and discrete mathematics.

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.

For contributions to numerical ordinary differential equations and geometric integration.

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 advances in the design and analysis of algorithms.

For contributions to fluid mechanics and multiscale analysis.

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 contributions to linear programming and optimization.

For contributions to the mathematical foundations of quantum field theory.

For contributions to scientific computing and visualization.

For contributions to combinatorial optimization and its application to logistical problems.

For contributions to algorithms and complexity theory.

For contributions to linear algebra, systems, and control and their applications in engineering.

For contributions to differential equations and dynamics.

For investigations of nonlinear dynamics and pattern formation.

For contributions to the theory of algorithms and the theory of NP-completeness.

For contributions in many areas of applied mathematics.

For contributions to nonlinear equations, optimization, and flow in porous media.

For contributions to stochastic and non-autonomous dynamical systems.

For contributions to the analysis of algorithms, exceptionally influential books, and the creation of TeX.

For contributions to nonlinear partial differential equations, calculus of variations, phase transformations, and composite materials.

For contributions to dynamical systems theory and mathematical neuroscience.

For contributions to control and estimation of nonlinear dynamical systems and stochastic processes.

For contributions to the analysis of problems of electromagnetics and heating.

For seminal contributions to game theory and to linear and nonlinear programming, and for leadership of SIAM in its early years.

For contributions to stochastic control theory.

For contributions to matrix analysis and its applications to vibrations, systems theory and control.

For contributions to conservation laws, scattering theory, integrable systems, and numerical analysis.

For contributions to the design of networks and circuits and for technology for Web content delivery.

For contributions to mathematical biology and ecology.

For contributions to variational analysis and nonsmooth optimization.

For contributions to large-scale nonlinear optimization.

For contributions to dynamics and biology.

For contributions to partial differential equations and their physical applications.

For contributions to iterative methods for linear systems and numerical methods for partial differential equations.

For contributions to the theory of partial differential equations and conservation laws.

For contributions to control and systems theory.

For contributions to mechanics, control, and dynamical systems.

For contributions to dispersive waves and the analysis of behaviors of nonlinear systems.

For contributions to nonlinear analysis in inverse problems.

For contributions to theoretical and computational fluid dynamics, especially interface problems in multiphase flows.

For contributions to the modeling and analysis of composite materials.

For contributions to nonlinear wave propagation and mathematical neuroscience.

For contributions to numerical analysis and software, including the invention of MATLAB.

For contributions to partial differential equations and applications.

For advances in algorithms and software for continuous optimization.

For contributions to pattern theory and the understanding of vision.

For contributions to scheduling methodology and large-scale combinatorial optimization problems.

For leadership in international applied and industrial mathematics.

For contributions to the mathematical analysis of waves and pattern formation.

For contributions to linear algebra, regularization, and applications.

For contributions to asymptotics and singular perturbations.

For leadership of industrial applied mathematics study groups.

For advances in finite element analysis and computational mechanics.

For contributions to the simulation of reactive flows and other complex processes.

For contributions to numerical analysis and optimization.

For contributions to the numerical solution of partial differential equations, level set methods, and image processing.

For advances in numerical optimization and eigenvalue problems.

For advances in variational inequalities and complementarity problems in optimization.

For advances in analysis and computation for random media.

For contributions to numerical analysis.

For contributions to reservoir simulation and the solution of differential equations.

For advances in the analysis of nonlinear problems.

For analysis of linear and nonlinear partial differential equations.

For contributions to viral dynamics and other problems of mathematical biology.

For simulations of blood flow in the heart and other biological processes.

For contributions to numerical ordinary differential equations and differential-algebraic equations and computational science.

For contributions to fluid dynamics and computation.

For contributions to turbulent flows and combustion.

For contributions to the numerical solution of partial differential equations and applications.

For contributions to nonlinear analysis.

For contributions to the numerical solution of partial differential equations and applications.

For contributions to geophysical computation.

For contributions to the solution of nonlinear systems of equations and other problems of numerical analysis.

For contributions to mathematical programming and operations research.

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

For contributions to mathematical statistics.

For contributions to numerical methods for high-performance computing.

For contributions to the numerical solution of ordinary and partial differential equations.

For contributions to dynamics, voting, and economics.

For contributions to numerical ordinary differential equations and geometric integration.

For contributions to numerical optimization.

For contributions to combinatorial optimization.

For contributions in optimal control applied to the management sciences and economics.

For contributions to the numerical solution of partial differential equations, especially level set methods.

For contributions to dynamics and biology.

For the analysis of vortices and flows.

For contributions to the numerical solution of partial differential equations including discontinuous Galerkin methods.

For contributions to fluid dynamics, combustion theory, and their applications to propulsion.

For advances in quadrature, integral equations, and approximation of functions.

For contributions to control theory and mathematical biology.

For the study of linear and nonlinear partial differential equations.

For contributions to numerical linear algebra.

For contributions to finite elements and wavelets as well as influential textbooks in applied and numerical mathematics.

For investigations of nonlinear waves.

For investigations of small-world networks and coupled oscillators and for outstanding science communication.

For contributions to deterministic and stochastic dynamical computations.

For wide-ranging contributions to fluid mechanics.

For contributions to nonlinear control, especially in the area of differential-geometric control theory.

For contributions to nonlinear dynamics, particularly through his experimental work.

For geophysical computations and inverse problems.

For contributions to linear and nonlinear programming and tireless efforts to increase diversity.

For the design and analysis of graph and network algorithms.

For the design and analysis of algorithms.

For contributions to differential equations, numerical analysis, and the Navier-Stokes equations.

For contributions to discrete mathematics and algorithms.

For advances in interior point methods and semidefinite programming.

For contributions to the theory and practice of numerical optimization.

For contributions to dynamics and inverse scattering.

For leadership in science policy.

For contributions to the mathematics of packings and materials.

For contributions to algorithms and complexity theory.

For contributions to numerical analysis and scientific computing.

For numerical algorithms including incomplete factorization, Bi-CGSTAB, and Jacobi-Davidson.

For advances in numerical linear algebra and control and applications.

For contributions to and exposition of matrix computations.

For advances in probability theory, including the study of large deviations.

For advances in the analysis of experimental data.

For contributions to computational biology.

For contributions to the numerical solution of partial differential equations.

For contributions to modeling and computational simulation in the geosciences.

For contributions to the understanding of combustion processes.

For the study of network traffic and the internet.

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

For contributions to numerical optimization and service to the profession.

*Deceased