Yangyang Xu
Mathematical Sciences
Optimization
Parallel computing
Compressed sensing, Matrix completion, tensor factorization and learning
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
Professor
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
Peter Kramer
Mathematical Sciences
Stochastic modeling in microbiology
Stochastic dynamics on networks
Gregor Kovačič
Mathematical Sciences
Matematical neuroscience
wave dynamics
integrable systems
nonlinear resonant optics
optics of metamaterials
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 http://www.OvertureFramework.org
Rongjie Lai
Mathematical Sciences
Geometric and learning for manifold-structured data
Image processing and applications
Optimization
Donald Schwendeman
Professor, Department Head
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
optimization
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.
Mechanical Aerospace and Nuclear Engineering
Finite Element Analysis
Computer Graphics
Computer-Aided Design
Sibel Adali
Associate Dean of Science for Research and Graduate Studies
Computer Science
Trust
Social Networks
Databases
Vincent Meunier
Department Head and Gail and Jeffrey L. Kodosky ‘70 Chair. Professor
Physics, Applied Physics & Astronomy
computational physics
condensed matter physics
nanoscience
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, Darrin Fresh Water Institute; Director, Jefferson Project
Biological Sciences
Ecology
Disease ecology
Ecotoxicology
Evolution
Animal behavior
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).