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Research Interests

1.  Numerical solutions of PDEs

2.  Computational Materials

3.  Stochastic Modeling
　

Publications
  1. Mathematical and Numerical Aspects of Phase- field Approach to Critical Morphology in Solids, Lei Zhang, Long-qing Chen, Qiang Du, Journal of Scientific Computing, 2008 (special volume to the 2007 John Barrett Memorial Lectures).
  2. Diffuse-interface Description of Strain-Dominated Morphology of Critical Nuclei in Phase Transformations , Lei Zhang, Long-qing Chen, Qiang Du, Acta Materialia, 2008.
  3. Morphology of critical nuclei in solid state phase transformations , Lei Zhang, Long-qing Chen, Qiang Du, Physical Review Letters 98, 265703, 2007.
  4. Numerical Simulation of Second Order Stochastic Differential Equations. Master Thesis,2003.
　

Presentations

1.    CNA Summer School, contributed talk, May 29 - June 7, 2008, Carnegie Mellon University, Pittsburgh.

2.    SIAM Conference on Mathematical Aspects of Materials Science, MS9: Theory and Simulation of Grain Boundary Evolution, invited talk, May 11-14, 2008, Philadelphia.

3.    SIAM Southeastern-Atlantic Section Conference, invited talk, March 14-15 2008, University of Central Florida, Orlando.

4.  CCMD Meeting, talk and poster, February 20-22, 2008, Georgia Tech University, Atlanta.

5.  CCMA Luncheon Seminar, invited talk, Oct. 5, 2007, Penn State University.

6.  Mathematics Seminar, invited talk, May 24, 2007, Beijing Normal University, China.

7.  The 2007 John H. Barrett Memorial Lectures: Multi-Scale Modeling and Simulation in Materials Science, poster presentation, April 28 - 30, 2007, University of Tennessee University of Tennessee, Knoxville.

8.  Computational and Mathematical Aspects of Materials and Fluids, poster presentation, April 13 - 14, 2007, Iowa State University.

9.  SIAM Conference on Computational Science and Engineering (CSE07) contributed talk, February 19-23, 2007,  Costa Mesa, California .

10.  CCMD Atlanta Meeting, poster presentation, February 19-20, 2007, Georgia Tech U.

11.IMA Summer Program: Stochastic Partial Differential Equations Modeling, U. of Wyoming, June 2005.