For contributions to the theory and algorithms for low-dimensional models and their applications in computer vision and image processing.

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 his contributions to the theory, practice, and applications of continuous optimization.

For contributions to the numerical solution of partial differential equations and to the development of randomized algorithms for matrix computations.

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

For discerning analysis of fundamental problems in partial differential equations and mathematical fluid mechanics including boundary layers, transport, and mixing.

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 the understanding of the onset of chaos and transport in Hamiltonian and volume-preserving dynamical systems.

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 contributions to inverse scattering and the development and analysis of finite element methods for problems in acoustics and electromagnetism.

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 modeling, approximation, and control design for distributed parameter systems.

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.

*Deceased