For advances in high-order numerical methods for partial differential equations and applications.

For contributions to numerical analysis and stochastic computation.

For contributions to numerical linear algebra and rounding error analysis.

For contributions to theoretical and numerical optimization, and for their application.

For contributions to the design and analysis of approximation algorithms, flow problems, and their innovative use in applications, and in solving NP-hard problems.

For contributions to nonlinear partial differential equations and related fields, to research administration, and to the dissemination of mathematics.

For contributions to nonlinear dynamics spanning the range from theory to applications.

For contributions to computational biology, numerical relativity, and scientific computation.

For advances in the design and analysis of algorithms.

For contributions to fluid mechanics and multiscale analysis.

For contributions to mathematical ecology and in particular the theory of the chemostat and competing species in ecology.

For contributions to network flows, integer programming, and combinatorial algorithms.

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 numerical linear algebra, perturbation theory, and applications.

For contributions to linear programming and optimization.

For contributions to the mathematical foundations of quantum field theory.

For contributions to relaxation schemes, numerical algorithms for kinetic equations and high frequency wave propagation.

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 dynamical systems, nonlinear partial differential equations, and applications in nonlinear optics, ocean dynamics, and neuroscience.

For contributions to computational science and engineering, high performance computing applications, and leadership in industrial mathematics.

For contributions to machine learning, in particular variational approaches to statistical inference.

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 stochastic modeling, spectral elements, and fluid mechanics.

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

For contributions to wave propagation, nonlinear dynamics, optical fibers and waveguides, and computational neuroscience.

For pioneering the mathematics of cardiac electrophysiology, elucidating scroll waves, the bidomain equations, and the mechanism of defibrillation.

For contributions in many areas of applied mathematics.

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

For research contributions in chemical engineering, applied mathematics, and the computational sciences.

For fundamental contributions to the existence, stability, and dynamics of nonlinear waves with applications to atomic, optical, and materials physics.

For contributions to implicit methods for the solution of partial differential equations and dedicated service to the scientific community.

For her fundamental contributions to numerical linear algebra and scientific computing, including ill-posed problems, tensor decompositions, and iterative methods.

For contributions to shape reconstruction, image processing, and geometric analysis.

For contributions to nonlinear partial differential equations, the calculus of variations, and mathematical aspects of materials science.

For contributions to stochastic and non-autonomous dynamical systems.

For contributions to pattern formation and nonlinear dynamics, bifurcation theory and fluid dynamics.

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

For contributions to computational mathematics and development of numerical methods for eigenvalue problems.

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

For contributions to semidefinite optimization and complementarity problems.

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

For contributions to dynamical systems theory and mathematical neuroscience.

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

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 control of nonlinear and distributed parameter systems.

For landmark contributions to mathematical physics and inverse problems.

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

For contributions to data mining and high performance computing.

For contributions to inverse problems, approximation to infinite dimensional control systems, and computational methods.

For contributions to stochastic control theory.

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

For contributions to applied harmonic analysis, compressed sensing, and imaging sciences.

For contributions to our understanding of matrix pencils and for leadership within the European high performance computing community.

For contributions to the theory of wavelets and harmonic analysis, and to interior-point and direct search optimization.

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

For fundamental contributions to control theory of partial differential equations and their dissemination through numerous invited talks, administrative positions in professional societies, and the mentoring of many PhD students and postdoctoral associates.

For contributions to global polynomial optimization and the generalized problem of moments.

For contributions to the numerical solution of problems in control and filtering.

For contributions to discrete and polynomial optimization and revealing interactions between them.

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

For contribution to numerical analysis and scientific computing, particularly for conservation laws.

For advances in hyperbolic conservation laws and the study of shock waves.

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

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

For contributions to optimal control with biological and physical applications and for contributions to undergraduate research.

For contributions to the control of underwater vehicles and the coordination of ensembles of independent agents, and for fundamental work in understanding the organization of animal schools and swarms.

For contributions to the understanding of how large-scale behaviors emerge from dynamics or structures on small-scales.

For contributions to mathematical biology and ecology.

For contributions to variational analysis and nonsmooth optimization.

For contributions to mathematical biology and the study of spatial dynamics processes.

For contributions to sparse linear algebra and high performance computing.

For contributions to large-scale nonlinear optimization.

For advances in the development of fast and scalable sparse matrix algorithms and fostering their use in large-scale scientific and engineering applications.

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

For contributions to systems and control.

For advances in the theory of shock waves and kinetic theory.

For advances in analysis of weak solutions of incompressible Euler equations and for advancing applied mathematics in Brazil and internationally.

For the development of novel applied mathematics ideas and methods for signal processing and digital communication.

For contributions to multiscale numerical methods for materials with microstructure and defects and atomistic to continuum models.

For contributions to dynamics and biology.

For contributions to mathematical biology.

For contributions to partial differential equations and their physical applications.

For seminal contributions to the theory and algorithms of optimization and applications to machine learning.

For contributions to mathematical biology, including behavioral ecology, conservation biology, fisheries management, and the biology of stem cells.

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

For contributions to high performance computing algorithms and software systems for network science and public health epidemiology.

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

For contributions to control and systems theory.

For contributions to the development and clinical translation of cardiovascular patient-specific modeling, optimization, uncertainty and simulation methodology, and open source software development.

For contributions to mechanics, control, and dynamical systems.

For contributions to asymptotic and perturbation methods, bifurcation theory, nonlinear dynamics, pattern formation, stochastic dynamical systems and combustion theory.

For contributions to numerical partial differential equations, especially multigrid and first-order system least-squares methods.

For contributions to the control for nonlinear systems.

For advances in mathematics applied to fluid dynamics, solidification, and the interaction of the two, using sharp and diffuse interface theories.

For contributions to scalable numerical algorithms and software libraries for solving large-scale scientific and engineering problems.

For mathematical contributions to the underpinnings of telecommunications products and his support of SIAM.

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

For contributions to nonlinear analysis in inverse problems.

For contributions to numerical linear algebra, matrix theory, differential-algebraic equations, mathematical software, and the transfer of knowledge to and from industry.

For contributions to theory and applications of linear algebra.

For contributions to optimization methods and software applied to challenging real-world problems, technical leadership, and service to the SIAM community.

For sustained innovation at the dynamical systems theory/applications interface; notably for advances in the use of Koopman operator theory.

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 graph theory and computing, in particular structural, topological, and algebraic graph theory.

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

For impactful industrial application of mathematical modeling in oncology, immunology, and virology. For mentoring, teaching, and leadership.

For contributions to partial differential equations and applications.

For contributions to variational analysis, optimization, and optimal control.

For contributions to numerical methods for partial differential equations.

For advances in algorithms and software for continuous optimization.

For contributions to pattern theory and the understanding of vision.

For contributions to the computational science of image reconstruction.

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

For fundamental contributions to algorithms for structured linear systems and image processing.

For contributions to the numerical analysis of systems, control, and data assimilation.

For contributions to the theory and practice of continuous optimization.

For contributions to the study of free boundary problems and phase transitions.

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 developing new geometric methods for differential equations leading to applications in fluid mechanics, elasticity, quantum mechanics, and image processing.

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 contributions to theory and computational methods for dynamical systems.

For contributions to mathematical biology, in particular the theory of pattern formation in biological systems.

For broad and deep investigations of nonlinear dynamical systems, which highlight both theory and application.

For advances in numerical optimization and eigenvalue problems.

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

For advances in variational inequalities and complementarity problems in optimization.

For advances in analysis and computation for random media.

For contributions to numerical analysis and the data sciences.

For contributions to numerical linear algebra.

For foundational contributions to algebraic methods in optimization and engineering.

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 the theory and applications of combinatorial optimization.

For her profound contributions in analysis and partial differential equations, groundbreaking work in public key cryptography, and outstanding scientific leadership.

For contributions to fluid dynamics and computation.

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 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 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 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 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 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.

*Deceased