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.
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