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

1. L. Lee, A class of high-resolution methods for incompressible flows, accepted for publication in Computers and Fluids, 2010.
2. R. Camassa, P. H. Chiu, L. Lee*, and T. W. H. Sheu, A particle method and numerical investigation of a quasi-linear partial differential equation, accepted for publication in Discrete and Continuous Dynamical Systems - Series S, 2009.
3. P. H. Chiu, L. Lee*, and T. W. H. Sheu, A sixth-order dual preserving algorithm for the Camassa-Holm equation, J. Comput. Appl. Math. doi:10.1016/j.cam.2009.11.023.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. L. Lee and R.J. LeVeque. An immersed interface method for the incompressible Navier-Stokes equations, SIAM Sci. Comp. 25, 2003, 832-856.
11. 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, 463-475.

In Revision


• 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, A high-resolution conservative scheme for a double-gyre shallow-water model, submitted to International Journal of Numerical Methods and Applications.

Funded Projects as PI


• Basic Research Grant, University of Wyoming, (2005-2006), $2000, Mathematical Models and Numerical Simulations for Two-phase flow.
• NSF DMS 0610149, (2006-2010), $161,846, Fluid Transport Models for Multiphase Flow Systems: Asymptotical Analysis, Homogenization, and Computation.

Pending Projects as PI


• DOE Early Career Award (2010-2015), $759,365, Efficeint algorithms for the multidimensional Euler-Poincare equations and related subgrid turbulence models.
• NSF Applied Mathematics (2010-2013), $261,606, Collaborative Research: Flow over periodic structures and the transportation of mucus in lungs.
• NSF Computational Mathematics (2010-2013), $493,530, Colocated finite volume element methods for regularization-based sub-grid scale turbulence models: implementation of parallel algorithms for turbulent flow over complex terrain.

Proposals submitted as Co-PI


• NSF Solar Energy Initiative, Pre-proposal, Modeling and experimental studies towards production of inexpensive and scalable CuZnSnS-based thin film photovoltaic devices.