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

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

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

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

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

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

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

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

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

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

For his seminal contributions to the mathematical foundations of uncertainty quantification methods.

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

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 applied harmonic analysis, compressed sensing, and imaging sciences.

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

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

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

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

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

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

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

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

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