Zhiqiang Sheng

Institute of Applied Physics and Computational Mathematics, Beijing, China.

Contact Information

Tel: 86-10-61935182
Email: sheng_zhiqiang@iapcm.ac.cn

Education

2007.  Ph.D. in Computational Mathematics, Graduate School of Chinese Academy of Engineering Physics.

2002.  B.S. in Mathematics, Xiangtan University.

Research Interests

The computational method for the radiation hydrodynamics  

Selected Publications
 

1. G. Yuan, Z. Sheng, X. Hang, Y. Yao, L. Chang, J. Yue, The computational method for diffusion equation(Chinese), Science press, Beijing, 2015.

2. Z. Sheng, G. Yuan, Construction of nonlinear weighted method for finite volume schemes preserving maximum principle, SIAM J. Sci. Comput., 40(2018)A607-A628..

3. Z. Sheng, G. Yuan, A new nonlinear finite volume scheme preserving positivity for diffusion equations, J. Comput. Phys., 315(2016)182-193.

4. Z. Sheng, G. Yuan, A Cell-Centered Nonlinear Finite Volume Scheme Preserving Fully Positivity for Diffusion Equation, J. Sci. Comput., 68(2016)521-545.

5. Z. Sheng, G. Yuan, An improved monotone finite volume scheme for diffusion equation on polygonal meshes, J. Comput. Phys., 231(2012)3739-3754.

6. Z. Sheng, G. Yuan, The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes, J. Comput. Phys., 230(2011) 2588-2604.

7. Z. Sheng, M. Thiriet and F. Hecht, An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid, J. Comput. Phys., 230(2011) 551-571.

8. Z. Sheng, J. Yue and G. Yuan, Monotone finite volume schemes of nonequilibrium radiation diffusion equations on distorted meshes. SIAM J. Sci. Comput. 31 (2009) 2915-2934.

9. G. Yuan, Z. Sheng, Monotone finite volume schemes for diffusion equations on polygonal meshes . J. Comput. Phys. 227 (2008) 6288-6312.

10. Z. Sheng, G. Yuan, A nine point scheme for the approximation of diffusion operators on distorted quadrilateral meshes. SIAM J. Sci. Comput. 30 (2008)1341-1361.

11. G. Yuan, Z. Sheng, Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes. J. Comput. Phys. 224 (2007) 1170-1189.