Faculty Experts

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Department Faculty Areas of Expertise

Alejandro Aceves
Professor

  • Applied mathematics
  • Nonlinear wave phenomena
  • Dynamical systems
  • Nonlinear optics and photonics
  • Climate modeling
Vladimir Ajaev 
Professor
  • Applied mathematics
  • Asymptotic and perturbation methods
  • Fluid mechanics
  • Materials science
  • Phase transformations

Andrea Barreiro
Associate Professor, Graduate Advisor

  • Applied mathematics
  • Computational mathematics
  • Neuroscience, and neural networks
  • Fluid dynamics
 

Wei Cai
Clements Chair Professor

  • Scientific computation
  • Machine learning
  • Stochastic, and deterministic numerical methods
  • Quantum phenomena
  • Electromagnetics
  • Wave scattering in random media

Thomas Carr
Associate Professor

  • Applied mathematics
  • Asymptotic and perturbation methods
  • Bifurcation and dynamical systems theory
  • Coupled oscillators
  • Laser instabilities
  • Epidemiology
Weihua Geng 
Associate Professor
  • Scientific computation
  • Partial differential equations
  • Integral equations
  • Structural biology
  • N-body problems
Thomas Hagstrom
Professor
  • Scientific computation
  • Time-domain wave propagation
  • Compressible flows

Kathryn Hedrick
Assistant Professor

  • Scientific computation
  • Neuroscience

Barry Lee
Associate Professor

  • Scientific computation
  • Partial differential and integral equations
  • Computational linear algebra
  • Multigrid methods
  • Uncertainty quantification
  • Coarse-graining techniques
A.J. Meir
Professor
  • Scientific computation
  • Partial differential equations
  • Fluid dynamics
  • Modeling and simulation of complex coupled problems
Peter Moore 
Professor
  • Scientific computation
  • Adaptive finite element methods
  • Reaction-diffusion systems in one, two, and three space dimensions
Scott Norris
Associate Professor
  • Applied mathematics
  • Multi-scale modelling and analysis
  • Nano-scale textured surfaces in materials science
  • Viscous and viscoelastic continuum analysis, thin-film analysis, asymptotic theory
Daniel Reynolds 
Professor, Department Chair
  • High-performance parallel scientific computation
  • Simulation of complex coupled problems
  • Multirate time integration
  • Iterative linear and nonlinear solvers
  • Climate simulations
  • Plasma physics
  • Astrophysics/cosmology
  • Materials science
Benno Rumpf
Associate Professor
  • Applied mathematics
  • Nonlinear waves
  • Statistical mechanics
  • Wave turbulence

Brandilyn Stigler
Associate Professor

  • Applied mathematics
  • Mathematical biology
  • Computational algebra (Groebner bases)
  • Gene regulatory networks
Johannes Tausch
Professor
  • Scientific computation
  • Boundary integral equations
  • Computational electromagnetics
  • Optics
  • Fluid mechanics
Sheng Xu 
Associate Professor
  • Scientific Computation
  • Fluid-structure interaction
  • Fluid mechanics and aerodynamics
  • Biological flows
  • Supersonic and hypersonic turbulence
  • Flow control
  • Fluid dynamics of nature's flyers and swimmers
Mikhail Zaslavsky
Assistant Professor 
  • Numerical linear algebra
  • Model reduction
  • Forward and inverse PDE problems
  • PDE discretization methods and homogenization
  • Machine learning
Yunkai Zhou
Associate Professor
  • Scientific Computation
  • Numerical linear algebra and applications
  • Computational material science