Research Interests & Publications:

Developing advanced stochastic and deterministic numerical methods to understand complex physical phenomena with a special focus on electromagnetic processes and wave scattering in random media.

  • Stochastic computing methods
  • Computational probability and Feynman-Kac representation of PDE solutions and E&M polarizability tensors of particle of complicated shapes
  • Computational biology, solvation, fast algorithms for electrostatics
  • Computational electromagnetics in complex media
  • Quantum transport   (Wigner transport and Non-equilibrium Green’s function methods)
  • Adaptive wavelet/multiscale methods
  • Monte Carlo and stochastic methods, Spectral methods, integral equation methods, discontinuous Galerkin methods
  • Fast integral solvers for wave scattering in layered media

Book Publication

Computational Methods for Electromagnetic Phenomena – electrostatics in solvation, scattering, and electron transport

  Recent Research Projects

      • Department of Energy, Numerical Methods of Compuational Electromagnetics in Complex Inhomogeneous Systems, (2005-2013)
      • National Science Foundation – DMS/NIGMS Math Biology Initiative (NIH), Fast Algorithms of Electrostatic Interactions for Biomolecular Simulations, (2007-2013)
      • National Science Foundation, High Order and Efficient Numerical Methods for Simulating Electromagnetic Phenomena, (2016-2019)
      • Army Research Office, Efficient Numerical Methods for Stochastic Modeling of Electromagnetic Scattering (2017-2020)
      • National Science Foundation Path Integral Monte Carlo Methods for Computing Polarizability Tensors of Nano-materials and Electrical Impedance Tomography (2017-2020)

Education

      • Brown University, 1989, Ph.D. in Applied Mathematics
      • University of Science and Technology, China, 1985, M.S. in Applied Mathematics
      • University of Science and Technology, China, 1982, B.S. in Mathematics

Professional Experience

  • Southern Methodist University, 8/2017-present                                               Clements Chair of Applied Mathematics, Department of Mathematics
  • University of North Carolina at Charlotte, 8/1989 – 7/2017
    • Assistant Professor, Department of Mathematics, 8/89-7/94
    • Associate Professor, Department of Mathematics, 7/94-7/99
    • Professor, Department of Mathematics, 7/99-7/2017
  • University of California at Santa Barbara, 1/95-9/96
    • Assistant Professor V (off-scale), Department of Mathematics, 1/95-5/96
    • Associate Professor II (off-scale), Department of Mathematics, 5/96-9/96

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