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:
- C. Huang and D. Liu, Strong convergence and fast implementation
of stochastic simulation algorithms, submitted. PDF
- C. Huang, M. Wu, D. Liu and C. Chan, Systematic modeling for insulin signaling network mediated by IRS1 and IRS2, submitted. PDF
- S. Pouya, D. Liu, and M. Koochesfahani, Apparent motion in single particle tracking and effect of detector exposure time, submitted.
- G. Bao, D. Liu and S. Luo, A multiscale method for optical responses of nano structures, SIAM Applied Mathematics, to appear. PDF
- 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
- 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
- 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
- D. Liu, Strong convergence rate of principle of averaging for jump-diffusion processes, Frontiers of Mathematics in China, 7, 305-320, 2012. PDF
- D. Liu, Stochastic simulation of the cell cycle model for budding yeast, Communications in Computational Physics, 9, 390-405, 2011. PDF
- D. Liu, Strong convergence of principle of averaging for multiscale stochastic dynamical systems, Communications in Mathematical Sciences, 8, 999-1020, 2010. PDF
- D. Liu, Analysis of multiscale methods for stochastic dynamical systems with multiple time scales, SIAM Multiscale Modeling and Simulation, 8, 944-964, 2010. PDF
- D. Liu, A numerical scheme for optimal transition paths of stochastic chemical kinetic systems, Journal of Computational Physics, 227, 8672-8684, 2008. PDF
- 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
- 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
- D. Liu, Optimal transition paths of stochastic chemical kinetic systems, Journal of Chemical Physics, 124, 164104, 2006. PDF
- 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
- 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
- D. Liu and C. Garćıa-Cevera, Magnetic switching of ferromagnetic thin films under thermal perturbation, Journal of Applied Physics, 98, 023903, 2005. PDF
- 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
- W. E and D. Liu, Gibbsian dynamics and invariant measures for stochastic dissipative PDEs, Journal of Statistical Physics, 108, 1125-1156, 2002. PDF