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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
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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

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- Assistant Professor, Dept. of Mathematics, University of Nevada, Las Vegas, 8/00 -.
- Postdoc Fellow, Center for Subsurface Modeling (CSM), Texas Institute for Computational and Applied Mathematics (TICAM), University of Texas at Austin, 5/98-8/00
- Teaching Assistant and Solo Instructor, Dept. of Mathematics, Florida State University, 9/94-4/98
- Research Associate, Institute of Systems Sciences, Chinese Academy of Sciences, Beijing, 8/90 - 8/93.

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

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- Computer Languages: C/C++, Fortran, Java, HTML, OpenGL, VRML, MPI.
- Software: Matlab, Maple, Mathematica, PV-WAVE, Tecplot.
- Computer Systems: Windows, Unix (SGI IRIX, Sun SOLARIS, IBM AIX), Linux, Parallel machines (Cray T3E, Origin 2K, IBM SP2).

- J. Li, Finite Element Analysis and Application for a Nonlinear
Diffusion Model in Image Denoising,
*Numer. Methods PDEs*(submitted Aug. 2001) - 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). - J. Li, Finite Element Analysis for a Nonlinear Diffusion Model
in Image Processing,
*Applied Mathematics Letters*(accepted, to appear). - J. Li, Uniform Convergence of Discontinuous Finite Element Methods
for Singularly Perturbed Reaction-Diffusion Problems,
*Computers and Mathematics with Application*(accepted, to appear). - 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). - J. Li, Mathematical Justification for RBF-MFS,
*Engineering Analysis with Boundary Elements*, Vol 25/10, (2001), pp 897-901. - 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. - 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. - 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. - J. Li, Multiblock Mixed Finite Element Methods for Singularly Perturbed
Problems,
*Applied Numerical Mathematics*, Vol.35, No.2 (2000), pp.157-172. - J. Li, An Optimal Order Estimate for Nonlinear Hyperbolic Conservation
Laws in Two Space Variables,
*Applied Mathematics Letters*, 13(2000) pp. 85-89. - 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. - 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. - 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. - 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. - 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. - 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. - 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.

- 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)
- 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)

- Participant for workshop on "Numerical Methods in Geoscience", IMA (Institute for Mathematics and its Applications) at the University of Minnesota, Minneapolis, MN, March 13-15, 2002.
- Participant for workshop on "Quantifying Uncertainty and Multiscale Phenomenon in Subsurface Processes", IMA (Institute for Mathematics and its Applications) at the University of Minnesota, Minneapolis, MN, January 7-11, 2002.
- "Parallel Multiblock Mixed Finite Element Methods for Elliptic Problems", Institute of Computational Mathematics, Chinese Academy of Sciences, Nov. 12, 2001, Beijing.
- Keynote speaker for "2001 Beijing Parallel Computing Workshop", Beijing International Center for Computational Physics, Nov. 5-9, 2001, Beijing.
- "Mesh-Free Method for Groundwater Contamination Transport Modeling", International Conference on Computational Engineering & Sciences, Puerto Vallarta, Mexico, August 19-25, 2001.
- Participant for Mathematical Geophysics Summer School at Stanford University, August 13-17, 2001, Stanford, California.
- "Parallel Multiblock Mixed Finite Element Methods for Elliptic Problems", Joint International Conference by AMS (AMerican Mathematical Society), IMS (Institute of Mathematical Sciences) and SIAM (Society for Industrial and Applied Mathematics) on Fluid FLow and Transport in Porous Media: Mathematical and Numerical Treatment, Mount Holyoke College, South Hadley, Massachusetts, June 17-21, 2001.
- Visitor to the Center for Computational Visualization at University of Texas, Austin, TX, June 1-15, 2001.
- Long term participant (March 27 - April 6, April 23-27, May 21-25) for workshop on "Geometrically Based Motions", held in IPAM (Institute for Pure and Applied Mathematics) at University of California, Los Angeles in Spring 2001.
- "Finite element analysis for a nonlinear diffusion model in image processing", Organizer and speaker for special session on Finite Element Analysis and Applications, AMS 2001 Spring Western Section Meeting, Las Vegas, NV, April 21-22, 2001.
- "Numerical Comparisons between DRM-MFS and Kansa-RBF methods", Dept. of Mathematics, City University of Hong Kong, Hong Kong, January 5-10, 2001.
- "Multiblock Mixed Finite Element Methods for Elliptic Problems", MCS Divisional Seminars, Argonne National Lab, May 8, 2000.
- "Convergence and Superconvergence Analysis of Finite Element Methods on Highly Non-Uniform Anisotropic Meshes for Singularly Perturbed Reaction-Diffusion Problems", invited numerical analysis talk, University of Kentucky, Lexington, KY, February 18, 2000.
- NPACI All-Hands Meeting, San Diego Supercomputer Center, February 9-12, 2000.
- "Multiblock Mixed Finite Element Methods for Elliptic Problems", Richard F. Barry Mathematics & Statistics Colloquium, Old Dominion University, Norfolk, VA, January 28, 2000.
- "Surface Water Transport Flow", 1998 NPACI Earth System Science Coordination Meeting, San Diego Supercomputer Center, University of California, San Diego, November 17-18, 1998.

- Organizer for a special section on Finite Element Analysis and Applications for AMS meeting to be held in Las Vegas in April 21-22, 2001.
- Serve as reviewer for Mathematical Reviews since June 1997.
- Serve as proposal reviewer for National Science Foundation since 1998.
- Serve as referee for many academic journals, such as SIAM Journals on Numer. Analysis, Numer. Methods for PDEs.