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

For contributions to turbulent flows and combustion.

For contributions to diverse problems and applications in networks, complex systems, and nonlinear systems.

For advances in combinatorial algorithms for scientific applications, and leadership in founding the combinatorial scientific computing community.

For contributions to industrial and applied geometry and pioneering research at the interface of architecture and mathematics.

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 constrained and reflected processes and stochastic networks.

For contributions to geophysical computation.

For contributions to analysis and mathematical biology.

For incisive contributions to the field of computational differential equations, and applications in molecular dynamics and data assimilation.

For contributions to the fluid dynamics of interfacial instabilities through the mathematical and numerical analysis of viscous, viscoelastic, and thermal effects.

For fundamental results on continuous optimization and the interface between algorithms, numerical analysis, and algebra.

For contributions to the mathematical and computational modeling of the ocean and atmosphere.

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

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

For contributions in numerical analysis, scientific computing, and modeling of porous media.

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 mathematical neuroscience, mathematical biology, and dynamical systems theory.

For contributions to numerical methods for high-performance computing.

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

For contributions in numerical linear algebra and its applications.

For contributions to dynamics, voting, and economics.

For pioneering contributions to parallel algorithms for numerical linear algebra.

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

For contributions to the mathematics of inverse problems and for advancing the application of mathematics in industry.

For contributions to numerical ordinary differential equations and geometric integration.

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 outstanding research in algorithms of discrete mathematics and in computer science applications, alongside exemplary service to mathematics.

For contributions to applied dynamical systems and the study of pattern formation.

For advances in the development of robust parallel sparse matrix algorithms and their effective use in large-scale science and engineering applications.

For contributions to integration, optimization, and modeling techniques for the study of biomolecular structure and function.

For contributions to numerical optimization.

For contributions to parallel and high performance computing, and algorithms for matrix computations.

For contributions to combinatorial optimization.

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

For contributions to the theory and computational methods for partial differential equations.

For contributions to finite element methods and scientific computing.

For contributions to sparse matrix algorithms and software.

For contributions to nonlinear control theory and nonlinear 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 solution methods for multiphysics systems, scalable parallel numerical algorithms, and numerical methods for strongly coupled nonlinear partial differential equations.

For contributions to dynamics and biology.

For contributions to the development of mimetic finite difference methods for nonlinear systems of partial differential equations.

For the analysis of vortices and flows.

For contributions to approximation theory, wavelet theory, and image processing.

For fundamental contributions to spectral methods and applications, including pioneering algorithms in computational fluids dynamics and materials science.

Arthur Sherman has made fundamental discoveries using mathematics in physiology and has trained a generation of successful biomathematicians.

For contributions to the design, analysis, and application of efficient discrete optimization algorithms in scheduling, facility location, networks, and sustainability.

For the development of optimization algorithms for groundwater flow and related environmental problems.

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

For contributions to the analysis of bifurcations in the presence of symmetry.

For contributions to parallel computing and computational science.

For contributions to numerical linear algebra.

For contributions to financial mathematics and asymptotic methods for stochastic control and differential games.

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

For contributions to computational molecular biophysics and to numerical ordinary differential equations and linear algebra.

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

For contributions to domain decomposition, developing the powerful software package PETSc, and simulating complex scientific and engineering phenomena on massively parallel architectures.

For his contributions to uncertainty quantification and materials science.

For the development of new methods in computational combustion and their application to problems involving hydrocarbon chemistry.

For foundational contributions to the numerical solution of polynomial systems and applications of algebraic geometry.

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

For contributions to control theory and mathematical biology.

For contributions to numerical linear algebra, optimization, and model reduction.

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

For contributions to discrete mathematics and theory of computing, particularly random graphs and networks, Ramsey theory, logic, and randomized algorithms.

For contributions to randomized algorithms and probablistic methods with applications to network and computational science.

For the study of linear and nonlinear partial differential equations.

For contributions to the theory and analysis of delayed dynamical systems and their applications.

For contributions to numerical linear algebra.

For advances in numerical linear algebra, especially iterative methods.

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 advancing symbolic and numerical techniques for solving systems of nonlinear polynomial equations and inequalities and connecting computational algebraic geometry with applications.

For contributions to algorithms and software for conic optimization, particularly matrix optimization.

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 numerical algebra and matrix theory.

For contributions to the numerical analysis of partial differential equations.

For original, broad, and fundamental contributions to applied and computational mathematics, including conservation laws, kinetics, image processing, and social dynamics.

For contributions to computational fluid dynamics and in particular, development of adaptive algorithms.

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 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 at the interface of mathematics and materials science for the study of crystal growth, optimal shapes of crystals, and minimal surfaces.

For fundamental contributions to continuous optimization theory, analysis, development of algorithms, and scientific applications.

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

For contributions to scalable algorithm design, mesh generation, and algorithmic game theory, and for pioneering smoothed analysis of linear programming.

For fundamental and sustained contributions to the theory and practice of optimization, and for exemplary service to the optimization community.

For contributions to discrete mathematics and algorithms.

For his contributions to structural graph theory and graph coloring, especially his work on the Four-Color Theorem and its generalizations and a proof the Strong Perfect Graph Theorem.

For contributions to numerical linear algebra, especially numerical methods for eigenvalue problems.

For analytical and computational studies of nonlinear partial differential equations with applications to fluid mechanics and geophysics.

For advances in interior point methods and semidefinite programming.

For his contributions to the development of algorithms and software for semidefinite programming and, more generally, conic 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 fundamental contributions to statistical physics, integrable systems, and probability theory including random matrix theory and its applications.

For contributions to algorithms and complexity theory.

For contributions to numerical analysis and scientific computing.

For contributions to signal processing, data analysis, and randomized linear algebra.

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

For contributions to the analysis of inverse problems and partial differential equations.

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

For advances in numerical linear algebra and control and applications.

For bridging the gap between advanced numerical linear algebra techniques and biomedical signal processing.

For contributions to and exposition of matrix computations.

For contributions to technologies for exoplanet searches and to interior-point methods for nonlinear optimization.

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

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

For contributions to matrix analysis, numerical analysis, complex variables, and approximation theory.

For designing algebraic approaches for creating and analyzing multilevel algorithms.

For advances in mathematical epidemiology of infectious diseases and in mathematics applied in industry problems.

For contributions to the mathematical and numerical analysis of nonlinear problems of PDEs and applications in inverse problems, homogenization, and material science.

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 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 contributions to modeling and computational simulation in the geosciences.

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.

For pioneering work on traveling waves in periodic and random media and applications ranging from signal processing to finance.

For contributions to the theory and applications of multilevel and adaptive numerical methods.

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

For contributions to the understanding and application of chaotic dynamics.

For contributions to nonlinear optimization and leadership of computational mathematics in China.

For contributions to stochastic control and financial mathematics.

For pioneering and current algorithmic and theoretical contributions in the areas of linear and nonlinear optimization and remote sensing.

For contributions in complex fluids modeling, multiscale analysis, and adaptive grid computation.

For accomplishments in stochastic optimization, financial mathematics, and behavioral finance.

For contributions to numerical methods and analyses of direct and inverse problems of partial differential equations.

For his contributions in traveling wave stability and his exceptional mentoring of graduate students and post-doctoral researchers.

For contributions to linear algebra and mathematical biology.

*Deceased