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University of Wyoming

 

Long Lee
Assistant Professor

Department of Mathematics
Ross Hall 212
University of Wyoming
Dept 3036, 1000 E. University Ave.
Laramie, WY 82071-3036

office phone:(307) 766-4368
fax number: (307) 766-6838
email: llee-at-uwyo-dot-edu

Office hours: MWF 1:30-2:30pm
                   and by appointment.

Education:

Ph.D. Applied Mathematics, University of Washington, Seattle, 2002

Research Interests:

Numerical simulations and mathematical modeling for fluid-flexible body interactions; Multiphase flow and nonlinear waves

Publications:
    Refereed Journal Articles and Book Chapters:

  • P. H. Chiu, L. Lee, and T. W. H. Sheu, A sixth-order dual preserving algorithm for the Camassa-Holm equation, accepted, Journal of Computational and Applied Mathematics, 2009.
  • P. H. Chiu, L. Lee, and T. W. H. Sheu, A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation, J. Comput. Phys. 228, 2009, 8034-8052.
  • R. Camassa and L. Lee, Complete integrable particle methods and the recurrence of initial states for a nonlinear shallow-water wave equation, J. Comput. Phys., 227, 2008, 7206-7221.
  • R. Camassa and L. Lee, A completely integrable particle method for a nonlinear shallow-water wave equation in periodic domains, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 14(S2), 2007, 1-5.
  • R. Camassa, J. Huang, L. Lee, Integral and integrable algorithm for a nonlinear shallow-water wave equation, J. Comput. Phys. 216, 2006, pp 547-572.
  • R. Camassa and L. Lee. Thin film dynamics in a liquid lined circular pipe, Advances in Engineering Mechanics - Reflections and Outlooks, edited by A. T. Chwang, M. H. Teng and D. T. Valentine, World Scientific Publishing, March 2006, 222-238.
  • R. Camassa, J. Huang, and L. Lee, On a completely integrable numerical scheme for a nonlinear shallow-water wave equation, Journal of Nonlinear Mathematical Physics, 12, 2005, 146-162.
  • L. Lee and R.J. LeVeque. An immersed interface method for the incompressible Navier-Stokes equations, SIAM Sci. Comp. 25, 2003, 832-856.
  • H-C. Chiu, S-D. Ni, Y. T. Yeh, L. Lee, W. S. Liu, C. F. Wen, and C.C. Liu. A new strong-motion array in Taiwan: SMART-2, Terr. Atm. Ocean. Sci. 5, 1994.
    In Revision

  • L. Lee, A class of high-resolution methods for incompressible flows, submitted to Computers and Fluids.
  • L. Lee (with R. Camassa, P. H. Chiu, and T. W. H. Sheu), Numerical investigation of Helmholtz regularizations in a class of partial differential equations, submitted to Journal of Computational Physics.
    Under Review

  • L. Lee (with R. Camassa, P. H. Chiu, and T. W. H. Sheu), A particle method and numerical investigation of a quasi-linear partial differential equation, submitted to Discrete and Continuous Dynamical Systems - Series S.
  • L. Lee, A high-resolution conservative scheme for a double-gyre shallow-water model, submitted to International Journal of Numerical Methods and Applications.