Curriculum Vitae

Xiantao Li

Personal information

Program in Applied and Institute for Mathematics and Its Applications(IMA) 207 Church Street SE Minneapolis, MN 55455.	E-mail address: `xli@ima.umn.edu`Office phone: (612) 626-0788 Fax: (612) 626-7370 Home phone: (612) 331-8060
Web page: `http://www.ima.umn.edu/~xli`

Education:
2000-2002 University of Wisconsin-Madison, Madison, WI.

Ph.D. in Mathematics, May 2002.

Thesis: Numerical computation of the semiclassical limit of the Schrödinger

equation and related problems.

Thesis advisor: Shi Jin.

1998-2000 Georgia Institute of Technology, Atlanta, GA.

Ph.D. student.

Academic advisor: Shi Jin.

1994-1998 Peking University, Beijing, China.

B.S. in Mathematics, June 1998.

Employment:
2004-present Institute for Mathematics and Its Applications(IMA), Minneapolis, Minnesota.
2002-2004 Princeton University, Princeton, New Jersey.

Research Associate

2000-2002 University of Wisconsin-Madison, Madison, WI.

   Teaching Assistant, Fall 2000,
   Lecturer, Spring 2001,
   Research Assistant, Summer 2001,
   Teaching Assistant, Fall 2001.

1998-2000 Georgia Institute of Technology, Atlanta, GA.

Teaching Assistant.

Award:
2001 John Nohel Prize for excellent research in applied mathematics,

University of Wisconsin-Madison.

Fields of Interest:
Numerical methods for hyperbolic conservation laws, computational fluid dynamics,
multiphase computation in wave propagations, and multiscale methods for solids.

Conference and workshop Participated:
Jun. 2001 CNA summer school, Carnegie Mellon University, Pittsburgh,

Mar. 2002 Ninth International Conference on Hyperbolic Problems: Theory,

Numerics, Applications, California Institute of Technology, Pasadena.

Jul. 2002 SIAM 50th Annual Meeting, Philadelphia.

Aug. 2002 Math-geophysics Summer School, Stanford University.

Sep. 2001 Midwest PDE seminar, University of Wisconsin-Madison.

Nov. 2002 44th Annual Meeting of the Division of Plasma Physics, Orlando.

Dec. 2002 Conference on Stochastic and Multi-scale Problems in Sciences, IAS.

Jul. 2003 Multiscale workshop, Princeton University.

Oct. 2003 Nonequilibrium Interface Dynamics: Theory and Simulation from Atomistic to

Continuum Scales, CSCAMM, University of Maryland, College Park.

Nov. 2003 Mechanical behavior of materials: from atomic to structures,

University of Minnesota.

Jan. 2004 AMS annual meeting, Phoenix.

May. 2004 SIAM Conference on Mathematical Aspects of Materials Science, Los Angeles.

Presentations in departmental seminars:
        Princeton University, Oct. 2002,
        Ohio-State University, May, 2003,
        University of Wisconsin-Madison, Oct. 2003,
        Duke University, Jan 2004,
        North Carolina State University, Jan 2004,
        University of Maryland, Jan 2004.
Membership:

Since 1998 American Mathematical Society.
Since 2002 Mathematical Society of America.

Language fluency:

Chinese Mother tongue,
English Fluent,
French Reading knowledge.

Computer Programming:
L^AT_EX, Fortran90, MPI parallel computation, Matlab, Maple.

Research Paper:
1.     Numerical approximations of pressureless and isothermal gas dynamics,
        (with François Bouchut and Shi Jin),
        SIAM, J. Num. Anal. 41, 135-158, 2003.

2.     Multi-phase computations of the semiclassical limit of the Schrödinger
        equation and related problems: Whitham vs Wigner
       (with Shi Jin),
       Physica D, 182, 46-85, 2003.

3.     On Two Moment Systems for computing multiphase semiclassical limits
        of the Schrödinger Equation,
       (with L. Gosse and S. Jin),
       Math. Model Methods Appl. Sci., 13, No. 12, 1689-1723, 2003.

4.     An Eulerian method for computing multi-valued solutions of the Euler-Poisson equations,
        (with John G. Wohlbier, Shi Jin and John Booske),
       Phys. Rev. E., 70, 016502, 2004.

5.    Multiscale modeling of dynamics of solids at finite temperature,
       (with Weinan E),
       J. Mech. Phys. Solids, accepted.

6.     Some recent progress on multiscale modeling,
        (with Weinan E and Eric Vanden-Eijnden),
        Lecture Notes in Computational Science and Engineering, Vol.39, 3--22.

7.     Error estimate of a multiscale method,
        (with Weinan E),
        method of analysis and application, accepted for publication.

8.     Multiscale modeling for crystalline solids,
        (with Weinan E),
        handbook of multiscale modeling of material (edited by Sidney Yip).