Courses taught:
Theoretical mechanics, finite element method, numerical algebra, numerical solution of partial differential equation, optimization method, finite element method, difference method, numerical algebra, calculation method (b), advanced mathematics (b). Numerical method for calculating singular minima, Numerische Mathematik, 71(1995) 317-330.
A theorem and process on semi-continuity under integral functional. R.soc.Editinburgh， 126A( 1996)
Layered Microstructure in Variational Problems with Non-first-order Connected Double Well Potential, Journal of Mathematical Analysis Applications, 2 17( 1998) 490-500.
Rotation transformation method and some numerical techniques for calculating microstructure. Applied Science of Model Method, 8( 1998)
Singular numerical approximation of microstructure and related minimum problems, numerical mathematical K 78 (1997) 21-381998-2000 Numerical solution and microstructure of nonlinear partial differential equations, National Natural Science Foundation of China.
Numerical solution of singular solution of nonlinear variational problem and its application in elasticity, National Natural Science Foundation of China.
1999. 10-2004.7 large-scale scientific calculation research of the 973 project of the Ministry of Science and Technology
2004-2006 "Research on Calculation Method of Nonlinear Multi-scale Problems of Material Microstructure", Ph.D. Fund of Ministry of Education.
2003-2005 "Numerical Solutions of Multiscale Problems of Partial Differential Equations", Ph.D. Fund of Ministry of Education.
The research on adaptive grid method in numerical solution of partial differential equations (approval number: 1043 1050) in 2005/200812 is a key project of National Natural Science Foundation.
2006. 1-2008. 12. Research on numerical methods of some partial differential equations in materials science. : 1057 1006) National Natural Science Foundation of China.
2005.12-20101Research on High Performance Scientific Computing \ Development and Innovation of Basic Algorithms \ Research Group (ProjectNo.: 2005CB32 170 1) Ministry of Science and Technology.
2006. 1-2009. 12 numerical calculation of partial differential equations (approval number: 10528 102) National Natural Science Foundation Overseas Young Scholars Cooperation Fund (Outstanding Young Man B (overseas collaborator Xu Jinchao).
2007. 1.-2009. 12 Theory and application of finite element adaptive method (approval number: 200600 1007) Doctoral Foundation of the Ministry of Education 2002- Executive Director of chinese mathematical society Computational Mathematics Society.
2002-Chairman of Beijing Computational Mathematics Society
2000-Editorial Board of Numerical Computation and Computer Applications
2003-Editorial Committee of Journal of Computational Mathematics of China University