Jichun Li's Curriculum Vitae

Jichun Li

Curriculum Vitae


Department of Mathematical Sciences
4505 Maryland Parkway; Box 454020
University of Nevada, Las Vegas
Las Vegas, NV 89154-4020

Email: jichun@unlv.edu
Phone: 702-895-0357

Education

Ph.D., Applied Mathematics, Florida State University, August, 1998
M.S., Computational Mathematics, Nanjing University, China, June, 1990
B.S., Computational Mathematics, Nanjing University, China, August, 1987

Academic Positions

Research Interests

My primary research interests are in numerical methods for solving partial differential equations, mathematical modeling, computational fluid dynamics, and scientific computation.

Computational Skills

Recent Refereed Journal Publications

  1. J. Li, Finite Element Analysis and Application for a Nonlinear Diffusion Model in Image Denoising, Numer. Methods PDEs (submitted Aug. 2001)
  2. J. Li, Y.C. Hon and C.S. Chen, Numerical Comparisons of Two Meshless Methods Using Radial Basis Functions, Engineering Analysis with Boundary Elements (accepted, to appear).
  3. J. Li, Finite Element Analysis for a Nonlinear Diffusion Model in Image Processing, Applied Mathematics Letters (accepted, to appear).
  4. J. Li, Uniform Convergence of Discontinuous Finite Element Methods for Singularly Perturbed Reaction-Diffusion Problems, Computers and Mathematics with Application (accepted, to appear).
  5. J. Li and C.S. Chen, A Simple Efficient Algorithm for Interpolation between Different Grids in Both 2D and 3D, Mathematics and Computers in Simulation (accepted, to appear).
  6. J. Li, Mathematical Justification for RBF-MFS, Engineering Analysis with Boundary Elements, Vol 25/10, (2001), pp 897-901.
  7. J. Li, Optimal Uniform Convergence Analysis of Mixed Finite Element Methods for Solving Singularly Perturbed Problems: a Unified Approach, Journal of Mathematical Study, Vol.34, No.3, 2001, pp.213-229.
  8. J. Li, Convergence and Superconvergence Analysis of Finite Element Methods on Highly Nonuniform Anisotropic Meshes for Singularly Perturbed Reaction-Diffusion Problems, Applied Numerical Mathematics, Volume 36, Issue 2-3, (2001), pp.129-154.
  9. J. Li and M.F. Wheeler, Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids, SIAM Journal on Numerical Analysis, Vol.38, No.3, (2000), pp.770-798.
  10. J. Li, Multiblock Mixed Finite Element Methods for Singularly Perturbed Problems, Applied Numerical Mathematics, Vol.35, No.2 (2000), pp.157-172.
  11. J. Li, An Optimal Order Estimate for Nonlinear Hyperbolic Conservation Laws in Two Space Variables, Applied Mathematics Letters, 13(2000) pp. 85-89.
  12. J.Li and J. Matsumoto, A heterogenous level method for three-dimensional hydrodynamics and salinity bay modeling, Mathematics and Computers in Simulation, 49 (1999), pp.27-39.
  13. J. Li, An Arbitrary Order Uniformly Convergent Finite Element Method for Singular Perturbation Problems, Numerical Functional Analysis and Optimization, Vol.20, No.7/8(1999), pp.737--752.
  14. J. Li, Full-Order Convergence of a Mixed Finite Element Method for Fourth-Order Elliptic Equations, Journal of Mathematical Analysis and Applications, Vol.230, No.2(1999), pp.329--349.
  15. J. Li and I.M. Navon, A Global Uniformly Convergent Finite Element Method for a Quasilinear Singularly Perturbed Elliptic Problem, Computers & Mathematics with Applications, Vol 38, No 5--6(1999), pp. 197--206.
  16. J. Li and I.M. Navon, Global Uniformly Convergent Finite Element Methods for Singularly Perturbed Elliptic Boundary Value Problems: Higher-order Elements, Computer Methods in Applied Mechanics and Engineering, Vol.171, No.1-2(1999), 1-23.
  17. J. Li, A Robust Finite Element Method for a Singularly Perturbed Elliptic Problem with Two Small Parameters, Computers & Mathematics with Applications, Vol.36, No.7(1998), 91-110.
  18. J.Li and I.M. Navon, Uniformly Convergent Finite Element Methods for Singularly Perturbed Elliptic Boundary Value Problems II: Convection-Diffusion Type, Computer Methods in Applied Mechanics and Engineering, Vol.162, No.1-4 (1998), 49-78.

Technical Reports

  1. M.F. Wheeler, C. Dawson, V. Parr, J. Li, Development of Parallel 3D Locally Conservative Projection Codes for Reduction of Local Mass Errors in Hydrodynamic Velocity Field Data, ERDC (U.S. Army Engineer Research and Development Center) MSRC (Major Shared Resource Center) Technical Reports 00-23, June 16, 2000. (http://www.wes.hpc.mil/pet/tech\_reports/reports/report\_index\_bd.htm)
  2. M.F. Wheeler, C. Dawson, J. Li and V. Parr, UTPROJ: The University of Texas Projection Code for Computing Locally Conservative Velocity Fields, ERDC (U.S. Army Engineer Research and Development Center) MSRC (Major Shared Resource Center) Technical Reports 99-04, March 1999, Vicksburg, MS. (http://www.wes.hpc.mil/pet/tech\_reports/reports/report\_index\_bd.htm)

Presentations and Invited Lectures

Other Professional Experience