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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. Andrea K. Barreiro Assistant Professor (Ph.D. 2006, New York University) Mathematical and computational neuroscience, including the study of dynamical, information theoretic and computational properties of neural networks; fluid dynamics. 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. Ildar Gabitov Professor and Betty Clements Chair in Applied Mathematics (Ph.D. 1984, Landau Institute for Theoretical Physics, Russia) Mathematical and theoretical physics, nonlinear optics, nonlinear PDEs, optical fiber communications, multiscale phenomena and nanomaterials, nanophotonics and nanoplasmonics. Ian Gladwell Professor Emeritus (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). Scott Norris Assistant Professor (Ph.D. 2006, Northwestern University) Multi-scale modelling and analysis of continuum equations with applications to nano-scale textured surfaces in materials science. Special focus on the effect of boundary conditions at free surfaces. Techniques include viscous and viscoelastic continuum analysis, thin-film analysis, asymptotic theory, and basic numerical solutions of PDEs. 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. Benno Rumpf Assistant Professor (Ph.D. 1998, TU Darmstadt, Germany) Nonlinear waves, statistical mechanics, wave turbulence, numerical methods. Lawrence Shampine Professor Emeritus (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. |