Long Lee
Associate 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

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

Publication: Google Scholar Profile ; Researchgate

* == graduate student
** == undergraduate student
  1. Y.-H. Kuo*, L. Lee, and G. Lyng, Analysis and development of compact finite difference schemes with optimized numerical dispersion relations. arXiv
  2. R. Camassa and L. Lee, A connection between the shallow-water equations and the Euler-Poincaré equations.
  3. D. Kuang* and L. Lee, A stable numerical method for the double-gyre nonlinear shallow-water model, TAM under revision, arXiv
  4. R. Camassa, D. Kuang*, and L. Lee, Solitary waves and N-particle algorithms for a class of Euler-Poincaré equations.
  5. Y. Kim**, L. Lee, and G. Lyng, The WKB approximation of semiclassical eigenvalues of the Zakharov-Shabat problem, J. Math. Phys. 55(8) (2014), 083516, arXiv
  6. L. Lee and G. Lyng, A second look at the Gaussian semiclassical soliton ensemble for the focusing nonlinear Schrödinger equation, Phys. Lett. A, 377 (2013), 1179-1188. Download
  7. R. Camassa, M. G. Forest, L. Lee, H. R. Ogrosky*, and J. Olander*, Ring-wave as a mass transport mechanism in air-driven core-anular flows, Physical Review E, v8 (6), Dec. (2012), 066305. Download
  8. L. Lee, G. Lyng, and I. Vankova**, The Gaussian semiclassical soliton ensemble and numerical methods for the focusing nonlinear Schrödinger equation, Physica D, 241 (2012), 1767-1781. Download
  9. L. Lee and I. Vankova**, A class of Cartesian grid embedded boundary algorithms for incompressible flow with time-varying complex geometries, Physica D, 240 (2011), 1583-1592. Download
  10. 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, Commun. Pure and Appl. Analysis, 10 (2011), 1503-1512. Download
  11. R. Camassa, P. H. Chiu*, L. Lee, and T. W. H. Sheu, Viscous and inviscid regularizations in a class of evolutionary partial differential equations, J. Comp. Phys., 29, (2010), 6676-6687. Download
  12. L. Lee, A class of high-resolution methods for incompressible flows, Computers & Fluids, 39, (2010) 1022- 1032. Download
  13. 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. 223, (2010), 2767-2778. Download
  14. P. H. Chiu*, L. Lee, and T. W. H. Sheu, A dispersion-relation-preserving algorithm for a nonlinear
  15. shallow-water wave equation, J. Comput. Phys. 228, (2009), 8034-8052. Download
  16. 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. Download
  17. 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. Download
  18. R. Camassa, J. Huang, L. Lee, Integral and integrable algorithm for a nonlinear shallow-water wave equation, J. Comput. Phys. 216, (2006), 547-572.
  19. 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.
  20. 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.
  21. L. Lee and R.J. LeVeque. An immersed interface method for the incompressible Navier-Stokes equations, SIAM Sci. Comp. 25, (2003), 832-856.
  22. 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.