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Faculty Research Summaries



Alejandro Aceves
Professor (Ph.D. 1988, University of Arizona)
Nonlinear wave phenomena, perturbation, multi-scale and numerical methods applied to nonlinear optics and photonics, soliton dynamics.

Vladimir S. Ajaev
Associate Professor (Ph.D. 1999, Northwestern University)
Asymptotic and perturbation methods with applications to fluid dynamics and materials science. Boundary-integral methods for systems with phase transformations.

Thomas W. Carr
Associate Professor (Ph.D. 1993, Northwestern University)
Asymptotic & perturbation methods, bifurcation theory and dynamical systems theory, applied to coupled oscillators, lasers instabilities and epidemiology.

Yeo-jin Chung
Assistant Professor (Ph.D. 2002, University of California, Irvine)
Nonlinear photonics, computational fluid dynamics, error correcting codes.

Robert Davis
Associate Professor (Ph.D. 1967, Tulane University)
Universal algebra, logic, combinatorics, and history of mathematics.

Ian Gladwell
Professor (Ph.D. 1970, University of Manchester)
Mathematical software, numerical analysis of ordinary differential equations (initial and boundary value problems), parallel computation, quadrature. Editor of IMA Journal of Numerical Analysis, Parallel and Distributed Computing Practices, Computing Reviews.

Rich Haberman
Professor (Ph.D. 1971, Massachusetts Institute of Technology)
Nonlinear phenomena (shock and dispersive waves, solitons, dynamical systems), asymptotic and perturbation methods for ordinary and partial differential equations, chaotic interactions of nonlinear waves in fiber optics.

Thomas Hagstrom
Professor (Ph.D. 1983, California Institute of Technology)
Numerical analysis and scientific computing, wave propagation, compressible flows.

Mogens Melander
Associate Professor (Ph.D. 1983, Technical University of Denmark)
Mathematical modeling, scientific computation, fluid dynamics, vortex dynamics.

Peter Moore
Professor (Ph.D. 1989, Rensselaer Polytechnic Institute)
Numerical Analysis (adaptive methods for parabolic systems), Scientific Computation and Mathematical Modeling (pattern formation).

Doug Reinelt
Professor (Ph.D. 1983, California Institute of Technology)
Scientific computation and perturbation analysis of free surface fluid problems including fluid dynamics of bubbles and thin films, coating flows, and foam rheology.

Daniel Reynolds
Assistant Professor (Ph.D. 2003, Rice University)
Applied Mathematics pertaining to Scientific Computation (large scale parallel, multi-physics, nonlinear, PDE systems) and Numerical Analysis (constrained evolution systems, iterative linear and nonlinear solvers, optimization). Application areas include plasma physics, astrophysics, cosmology, and materials science.

Lawrence Shampine
Professor and Betty Clements Chair in Applied Mathematics
(Ph.D. 1964, California Institute of Technology)
Numerical analysis and computation (ordinary differential equations and mathematical software).

Brandilyn Stigler
Assistant Professor (Ph.D. 2005, Virginia Tech University)
Mathematical biology, computational algebra (Groebner bases), gene regulatory networks.

Johannes Tausch
Associate Professor (Ph.D. 1995, Colorado State University)
Numerical approximation and fast methods for boundary integral equations, with applications to computational electromagnetics, optics, and fluid mechanics.

Richard Williams
Professor (Ph.D. 1965, Vanderbilt University)
Topology, real and complex analysis.

Sheng Xu
Assistant Professor (Ph.D. 2002, Cornell University)
Computational techniques for problems in fluid mechanics and aerodynamics, including biological flows, supersonic and hypersonic turbulence, flow control, and fluid dynamics of nature's flyers and swimmers.

Yunkai Zhou
Assistant Professor (Ph.D. 2002, Rice University)
Numerical linear algebra and applications, scientific computing, computational material science.