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Faculty Research Summaries



Vladimir S. Ajaev
Assistant 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.

Bruce P. Ayati
Assistant Professor (Ph.D. 1998, University of Chicago)
Numerical analysis (partial differential equations, finite elements), scientific computing, and mathematical biology.

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.

John Chen
Professor (Ph.D. 1991, Purdue University)
Numerical analysis (partial differential equations, finite elements), scientific computing, and mathematical modeling (multiphase flow, reservoir simulation).

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.

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

Montie Monzingo
Associate Professor (Ph.D. 1966, University of Oklahoma)
Abstract algebra and number theory, mathematical education.

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

Takashi Nishikawa
Assistant Professor (Ph.D. 2000, University of Maryland)
Application and theory of dynamical systems, including dynamics of oscillator networks, nonlinear time series analysis, active processes in chaotic flows.

George Reddien
Professor (Ph.D. 1971, Georgia Institute of Technology)
Numerical analysis, numerical bifurcation theory, boundary-value problems. Former Managing Editor of SIAM Journal on Numerical Analysis.

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.

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).

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.