Past Ph.D. Students


Former students who I officially advised:

  1. Bracy H. Elton, 1990, Applied Sciences, University of California at Davis, (co-advisor: Garry H. Rodrigue)
    A Numerical Theory of Lattice Gas and Lattice Boltzmann Methods in the
    Computation of Solutions to Nonlinear Advection-Diffusion Systems,

    Now: Senior Staff Scientist, High Performance Technologies Inc., Dayton, OH

  2. Marco Campini, 1991, Applied Mathematics, University of Arizona,
    The Fluid Dynamical Limits of the Linearized Boltzmann Equation,
    Last Known: Scientist, Italiel S.P.A., Italy

  3. Shi Jin , 1991, Applied Mathematics, University of Arizona,
    Numerical Transport in Diffusive Regimes,
    Now: Professor, Department of Mathematics, University of Wisconsin, Madison, WI

  4. Shan Jin, 1991, Applied Mathematics, University of Arizona,
    The Semiclassical Limit of the Defocusing Nonlinear Schrodinger flows,
    Last Known: MathSoft Inc., Seattle, WA

  5. Tai-Cheng Tso , 1992, Mathematics, University of Arizona,
    On the Incompressible Limit of the Compressible Navier-Stokes Equations,
    Now: Professor, Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan

  6. Chi-Kun Lin , 1992, Mathematics, University of Arizona,
    On the Incompressible Limit of the Compressible Navier-Stokes Equations
    Now: Professor, Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan

  7. Michael A. Wolfson, 1994, Applied Mathematics, University of Arizona (co-advisor: Frederick D. Tappert)
    Kinetic Theory of Waves in Random Media and Amelioration of Classical Chaos
    Now: Applied Mathematician, Ocean Acoustics Department, Applied Physics Laboratory, University of Washington, Seattle, WA

  8. Warren D. MacEvoy Jr. , 1994, Applied Mathematics, University of Arizona,
    Numerical and Analytical Studies of Instabilities in 1+1 and 2+1 Dimensional
    Periodic Fully Integrable Partial Differential Equations: Methods and Results,

    Now: Professor, Computer Science, Mathematics, and Statistics Department, Mesa State College, Grand Junction, CO

  9. Peter D. Miller , 1994, Applied Mathematics, University of Arizona,
    Macroscopic Lattice Dynamics,
    Now: Professor, Department of Mathematics, University of Michigan, Ann Arbor, MI
    Director, Applied and Interdisciplinary Mathematics

  10. Aric Hagberg , 1994, Applied Mathematics, University of Arizona, (co-advisor: Ehud Meron)
    Fronts and Patterns in Reaction-Diffusion Equations,
    Now: Mathematical Modeling and Analysis Group (T-7), Theoretical Divivsion, Los Alamos National Laboratory, Los Alamos, NM

  11. Gustavo Cruz-Pacheco , 1995, Applied Mathematics, University of Arizona,
    The Nonlinear Schroedinger Limit of the Complex Ginzburg-Landau Equation,
    Now: Investigador Titular "A", Departamento de Matematicas y Mecanica, Instituto de Investigaciones en Mathematicas y en Sistemas (IIMAS),
    Universidad National Autonoma de Mexico, Mexico City, Mexico

  12. Donald R. Stark , 1996, Applied Mathematics, University of Arizona,
    Structure and Turbulence in the Complex Ginzburg-Landau Equation with a Nonlinearity of Arbitrary Order
    Now: Project Scientist, Scientific Computing Division (SCD), National Center for Atmospheric Research, Boulder, CO

  13. Marcel Oliver , 1996, Applied Mathematics, University of Arizona,
    A Mathematical Investigation of Models of Shallow Water with a Varying Bottom,
    Now: Professor of Mathematics, Jacobs University, Bremen, Germany

  14. Karla J. Horsch , 1997, Applied Mathematics, University of Arizona,
    Attractors for Lyapunov Cases of the Complex Ginzburg-Landau Equation
    Now: Research Associate, Kurt Rossmann Laboratories for Radiologic Image Research, University of Chicago, Chicago, IL

  15. David L. Ropp, 2000, Applied Mathematics, University of Arizona
    A Numerical Study of Shallow Water Models with Variable Topography
    Last Known: Department of Computational Mathematics and Algorithms, Sandia National Laboratory, Albuquerque, NM

  16. Cecilia Fosser, 2000, Applied Mathematics, University of Arizona,
    Statistics in Stochastic Automata Model for the Spread of Disease Among Mobile Individuals
    Now: Manager, Pfizer, New London/Norwich, CT

  17. Will Ott, 2004, Mathemaics, University of Maryland (co-advisors: James A. Yorke and Brian Hunt),
    Infinite-Dimensional Dynamical Systems and Projections
    Now: Assistant Professor, Department of Mathematics, University of Houston, Houston, TX

  18. Ning Jiang, 2006, Mathematics, University of Maryland,
    Weakly Compressible Navier-Stokes Approximation of Gas Dynamics
    Now: Associate Professor, Mathematical Sciences Center, Tsinghua University, Beijing, China

  19. Cory Hauck, 2006, Applied Mathematics and Scientific Computation, University of Maryland,
    Entropy-Based Moment Closures in Semiconductor Models
    Now: Householder Fellow, Computational Mathematics Group, Computer Science and Mathematics Division,
    Oak Ridge National Laboratory, Oak Ridge, TN

  20. Weiran Sun, 2008, Applied Mathematics and Scientific Computation, University of Maryland,
    Mathematical Problems Arising when Connecting Kinetic to Fluid Regimes
    Now: L.E. Dickson Instructor, Department of Mathematics, University of Chicago, Chicago, IL

  21. J.T. Halbert, 2009, Mathematics, University of Maryland,
    A Modified Zwanzig-Mori Formalism
    Now: Analytic Modeler, Applied Physics Laboratory, The Johns Hopkins University, Laural, MD

Former students who I unofficially advised:


Updated 31 May 2011
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