For contributions to the theory and application of nonlinear waves.

For contributions to knowledge discovery and data mining algorithms.

For contributions to numerical analysis and scientific computing including finite element methods, adaptive methods, reliability, and a posteriori error estimation.

For contributions to stochastic and deterministic modeling of populations and disease transmission, their applications, and education in applied mathematics.

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

For contributions to the theory of partitions and combinatorics.

For contributions to the modeling, theory, and practice of optimization.

For contributions to nonlinear elasticity.

For contributions to the numerical analysis of partial differential equations, multiscale analysis, and homogenization for flow through porous media.

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

For contributions to algebraic geometry.

For contributions to numerical solution of differential equations and numerical software.

For contributions to the theory of special functions.

For contributions to the numerical analysis of integral equations and to the teaching of numerical analysis.

For contributions to the finite element method.

For contributions in high-performance algorithms and streaming analytics, and for leadership in the field of computational science.

For contributions to numerical linear algebra, especially eigenvalue computation, and applications to computational science and engineering.

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

For fundamental contributions to applied mathematics algorithms in geometric modeling, imaging science, bioinformatics, and data visualization.

For pioneering contributions to integer programming.

For contributions to molecular photonics.

For contributions to multilevel iterative methods and adaptive numerical methods for partial differential equations.

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

For significant and lasting contributions to inverse problems in wave phenomena and electromagnetics applied to optics.

For contributions to systems theory, stochastic control, and communication networks.

For contributions to mathematical physics.

For contributions to the cross-fertilization between industrial problems and advanced theory of partial differential equations.

For innovative combinations of analysis and computation to obtain fundamental insights into complex dynamics of spatially extended systems.

For contributions to dynamic game theory and application to robust control of systems with uncertainty.

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

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

For contributions to applied harmonic analysis, especially sampling theory and frames theory.

For contributions to numerical methods for optimal control and model reduction.

For contributions to stochastics and control.

For contributions to numerical linear algebra and its applications, especially sparse linear systems and preconditioning.

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

For contributions to the application of mathematics in incompressible flow, thin films, image processing, and swarming.

For contributions to computational methods in optimal control and nonlinear programming with industrial applications.

For the design and creation of fast numerical algorithms and seminal theory for linearized inverse problems.

For contributions to mathematical aspects of materials science, especially the modeling of martensitic transformation and its consequences.

For contributions to mathematical statistics.

For contributions in large-scale nonlinear optimization theory and algorithms, particularly IPOPT, and their novel application to flowsheet optimization, process control, data reconciliation, and complex process applications.

For contributions to chemistry and engineering.

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

For contributions to the dynamics and control of mechanical systems.

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

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

For contributions to numerical partial differential equations, especially least-squares finite element methods, stabilized finite element methods, and software.

For fundamental contributions to nonlinear waves.

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

For the mathematical and computational study of wave propagation and imaging in random media.

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

For multigrid theory and algorithms.

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

For advances in finite element and multigrid methods for the numerical solution of partial differential equations.

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

For contributions to mathematical neuroscience and cell biology, with a particular focus on stochastic processes.

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 dynamics and control.

For contributions to linear algebra and combinatorics.

For contributions to signal processing, image analysis, and ant robotics.

For contributions to the theory of composite materials and the numerical simulation of wave phenomena.

For contributions to geometric control, distributed control, and network systems with application to robotic coordination, power grids, and social networks.

For contributions in numerical linear algebra, control theory, and model reduction.

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

For contributions to control and approximation of partial differential equations.

For developing the foundations of the modern theory of Runge-Kutta methods.

For contributions to systems and control.

For seminal contributions in regularity theory of nonlinear partial differential equations, free boundary problems, fully nonlinear equations, and nonlocal diffusion.

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

For advances in scalable implicit methods for linear and nonlinear partial differential equations and wide application in science and engineering.

For contributions to stochastic, adaptive and large scale systems.

For contributions to analysis and algorithms for differential algebraic equations.

For pioneering work in mathematics of information, compressive sensing, computational harmonic analysis, statistics, and scientific computing.

For contributions to the modeling and analysis of partial differential equations motivated by applications in the life sciences.

For contributions to signals, statistics, and mathematical finance.

For his outstanding contributions to applied mathematics in complex particle dynamics and service to the Applied Mathematics Community of the European Mathematical Society.

For contributions to numerical analysis and image processing, and for service to the mathematical community.

For advances in numerical linear algebra and imaging science, including the theory of Toeplitz solvers.

For his outstanding contributions to physical and biological modeling as well as for his asymptotic methods development in applied mathematics.

For contributions to the mathematical analysis of partial differential equations, fluid mechanics, hyperbolic systems of conservation laws, and shock waves.

For contributions to inverse problems in acoustics and electromagnetic theory.

For contributions to computational fluid dynamics.

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

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 large-scale, sparse numerical optimization, financial optimization, and leadership in mathematics education and engagement with industry.

For pioneering and groundbreaking contributions to signal processing, tensor decompositions, and was instrumental in creating independent component analysis.

For fundamental contributions to optimization theory, software and industrial practice.

For contributions to the mathematical analysis of nonlinear partial differential equations, fluid dynamics, and turbulence.

For contributions to financial mathematics and stochastic analysis.

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

For contributions to fluid mechanics.

For contributions to numerical methods for incompressible fluid dynamics and leadership in promoting diversity in the mathematical sciences.

For contributions to optimization under uncertainty and its implementation in industrial practice, and for leadership in mentoring young researchers.

For contributions to hyperbolic systems of conservation laws.

For contributions to numerical methods for partial differential equations, signal processing, and learning.

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

For contributions to sparse matrix algorithms and software, including the University of Florida Sparse Matrix Collection.

For fundamental contributions to the development of computational models of coastal storm surges and other complex geophysical phenomena.

For fundamental contributions to theory, computation, and application of tensor decompositions.

For contributions to discrete geometry and optimization, polynomial algebra, and mathematical software.

For contributions to concepts and algorithms in numerical multilinear algebra and applications in engineering.

For his fundamental contributions to the mathematical foundations of information and computational sciences.

For contributions to computational geometry and optimization.

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

For contributions to the theory and applications of nonlinear optimization.

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

For contributions to numerical linear algebra, data analysis, and machine learning.

For advances in oceanography and climate dynamics.

For contributions to understanding of phenomena in nonlinear and stochastic dynamical systems, turbulent transport, and mixing.

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 in numerical linear algebra and the solution of polynomial and rational eigenvalue problems via linearizations.

For research on numerical methods for partial differential equations and their application to the simulation of flows in porous media.

For contributions to inverse problems, scientific computing, and numerical analysis and their application to hydrocarbon exploration.

For contributions to applied and computational mathematics with applications in material science, computational geometry, and biology.

For contributions to sparse matrix computations.

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

For contributions to stochastics and control.

For contributions to wetting and flow in porous media.

For analysis of multiscale and stochastic problems.

For contributions to mathematics and industry in the areas of numerical linear algebra, random matrix theory, and parallel computing.

For contributions to the mathematics and modeling of the cell, the immune system, and biological swarms, as well as to applied mathematics education.

For development and analysis of fast computational algorithms for linear and nonlinear systems of equations.

For contributions to the theory and development of sparse representations and their applications to signal and image processing.

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

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 numerical analysis and multiscale modeling.

For contributions to applied dynamical systems and mathematical biology, in particular the theory of coupled oscillators and neural pattern formation.

For distinguished research in partial differential equations and for advancing the profile of applied mathematics internationally.

For contributions to computational science and engineering, industrial collaborations, and mathematical exposition.

For outstanding contributions to mathematical chemistry and network science.

For outstanding scientific leadership while managing AFOSR and DARPA programs in dynamics and control and computational mathematics and fundamental research accomplishments in computational optimal control.

For contributions to the understanding of the stability and convergence properties of the finite element method, and for service to the numerical analysis community.

For contributions to parallel computing and modeling and simulation of fluid-structure interaction problems.

For contributions to computational biofluid dynamics and applications.

For pioneering efforts in the development and deployment of polynomial splines and constrained data fitting in the aerospace industry.

For contributions to mathematical programming algorithms, computation, and theory, particularly in the area of complementarity.

For pioneering work founding and organizing the SIAM Great Lakes Section, the premier SIAM section integrating industry and academia.

For contributions to optimal control.

For contributions to numerical continuous optimization.

For contributions to global optimization and its application to a wide range of problems spanning systems engineering and computational biology.

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

For contributions to integrable and nearly integrable partial differential equations, material science, and to polymeric, liquid crystalline, and biological and biomedical fluid mechanics.

For advances in spectral methods, radial basis functions, and other methods for computational fluid dynamics and partial differential equations.

For contributions to asymptotic analysis for random media and financial mathematics.

For contributions to applied mathematics through research, editorial work, and conference organizing, and for serving as a role model for young people, especially young women.

For contributions to partial differential equations and their applications.

For pioneering work on random graphs and probabilistic analysis of combinatorial algorithms.

For contributions in numerical linear algebra and the solution of problems in quantum chromodynamics.

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.

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

For contributions to numerical ordinary differential equations and geometric integration.

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

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

For leadership in theoretical ecology, helping to lay the foundation for scientifically-based agriculture and resource management.

For contributions in computational science and engineering, especially parallel computing.

For contributions to graph theory.

For contributions to combinatorial and parallel algorithms in scientific computing.

For research, leadership, and community building in software and algorithms for scientific and high-performance computing.

*Deceased