Center for Modeling, Optimization and Computational Analysis (MOCA)

Chjan Lim

Mathematical Sciences
Network Science
Computations on networks
Applied Stochastics
Vortex Dynamics
Statistical physics and turbulence
Symmetric Dynamical Systems
Combinatorial Matrix Theory

Fengyan Li

Mathematical Sciences
Discontinuous Galerkin methods; Finite element methods
High order methods for MHD, Hamilton-Jacobi, Maxwell's equations in linear and nonlinear media, Vlasov-Maxwell equations, multi-scale kinetic transport models, fluid models
High order structure-preserving methods: divergence-free, well-balanced, energy stable/conservative, positivity preserving, asymptotic preserving
Model order reduction: numerical algorithms and analysis

William Henshaw

Margaret A. Darrin Distinguished Professor in Applied Mathematics
Mathematical Sciences
Numerical methods for PDEs
adaptive and overlapping grids
incompressible and compressible flows, fluid-structure interactions, solid mechanics and electromagnetics
high-order accurate methods
Overture framework

Donald Schwendeman

Professor, Department Head and Director, Center for Modeling, Optimization and Computational Analysis (MOCA)
Mathematical Sciences
Numerical methods for PDEs
Fluid-structure interaction problems
Gas dynamics and wave propagation
Multi-scale and multiphase reactive flow
Adaptive and parallel algorithms
Mathematics for industrial applications

John E. Mitchell

Graduate Program Director
Mathematical Sciences
integer programming
linear programming
conic optimization
semidefinite programming
mathematical modeling of interdependendent infrastructures
sparse optimization and rank minimization

Mark S. Shephard

Samuel A. Johnson '37 and Elizabeth C. Johnson Professor of Engineering and Director, Scientific Computation Research Center (SCOREC)
Mechanical, Aerospace and Nuclear Engineering
Finite Element Analysis
Computer Graphics
Computer-Aided Design

Mark H. Holmes

Mathematical Sciences
Development and analysis of mathematical models for physiological systems, including modeling the biological tissues found in joints (such as the knee).

Jeffrey Banks

Eliza Ricketts Foundation Career Development Chair
Mathematical Sciences
Numerical methods for partial differential equations
Fluid-structure interaction
Computational fluid dynamics and solid mechanics
Scientific computing
Wave phenomenon
Laser plasma interaction

Rick Relyea

David M. Darrin ’40 Senior Endowed Chair; Director of the Darrin Fresh Water Institute and The Jefferson Project (2014-2022)
Biological Sciences
Disease ecology
Animal behavior