Di Liu (Richard)

Associate Professor of Mathematics

Department of Mathematics, Michigan State Univeristy.

Wells Hall, 619 Red Cedar Road, D217, East Lansing. MI 48824

Email: richardl@math.msu.edu

Office: 517-353-8143 Fax:517-432-1562

CV

Classes

Applied Math Seminar

Publications: 

1. C. Huang and D. Liu, Strong convergence and fast implementation of stochastic simulation algorithms, submitted. PDF 
2. C. Huang, M. Wu, D. Liu and C. Chan, Systematic modeling for insulin signaling network mediated by IRS1 and IRS2, submitted. PDF 
3. S. Pouya, D. Liu, and M. Koochesfahani, Apparent motion in single particle tracking and effect of detector exposure time, submitted. 
4. G. Bao, D. Liu and S. Luo, A multiscale method for optical responses of nano structures, SIAM Applied Mathematics, to appear. PDF 
5. G. Bao, G. Hu, D. Liu and S. Luo, Multi-physical modeling and multi-scale computation of nano-optical responses, Proceedings of the 8th International Conference on Scientific Computing and Applications, to appear. PDF 
6. G. Bao, G. Hu and D. Liu, Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique, Journal of Scientific Computing, to appear. PDF 
7. G. Bao, G. Hu and D. Liu, An h-adaptive finite element solver for the calculations of the electronic structures, Journal of Computational Physics, 231, 4967-4979, 2012. PDF 
8. D. Liu, Strong convergence rate of principle of averaging for jump-diffusion processes, Frontiers of Mathematics in China, 7, 305-320, 2012. PDF 
9. D. Liu, Stochastic simulation of the cell cycle model for budding yeast, Communications in Computational Physics, 9, 390-405, 2011. PDF 
10. D. Liu, Strong convergence of principle of averaging for multiscale stochastic dynamical systems, Communications in Mathematical Sciences, 8, 999-1020, 2010. PDF 
11. D. Liu, Analysis of multiscale methods for stochastic dynamical systems with multiple time scales, SIAM Multiscale Modeling and Simulation, 8, 944-964, 2010. PDF 
12. D. Liu, A numerical scheme for optimal transition paths of stochastic chemical kinetic systems, Journal of Computational Physics, 227, 8672-8684, 2008. PDF 
13. W. E, D. Liu, and E. Vanden-Eijnden, Response to “Communicationsent on ‘Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates’ [Journal of Chemical Physics 123, 194107(2005)]”, Journal of Chemical Physics, 126, 137102, 2007. PDF 
14. W. E, D. Liu and E. Vanden-Eijnden, Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales, Journal of Computational Physics, 221, 158-180, 2007. PDF 
15. D. Liu, Optimal transition paths of stochastic chemical kinetic systems, Journal of Chemical Physics, 124, 164104, 2006. PDF 
16. W. E, D. Liu and E. Vanden-Eijnden, Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates, Journal of Chemical Physics, 123, 194107, 2005. PDF 
17. W. E, D. Liu and E. Vanden-Eijnden, Analysis of multiscale methods for stochastic differential equations, Communications on Pure and Applied Mathematics, 58, 1544-1585, 2005. PDF 
18. D. Liu and C. Garćıa-Cevera, Magnetic switching of ferromagnetic thin films under thermal perturbation, Journal of Applied Physics, 98, 023903, 2005. PDF 
19. D. Liu, Convergence of the spectral method for stochastic Ginzburg-Landau equation driven by space-time white noise, Communications in Mathematical Sciences, 1, 361-375, 2003. PDF 
20. W. E and D. Liu, Gibbsian dynamics and invariant measures for stochastic dissipative PDEs, Journal of Statistical Physics, 108, 1125-1156, 2002. PDF