Di Liu (Richard)
Associate Professor of Mathematics
Depatment of Mathematics,
Michigan State Univeristy.
D217 Wells Hall, East Lansing, MI 48824
Email: richardl@math.msu.edu
Office: 517-353-8143
Publications:
C. Chan, C. Huang, D. Liu and M. Wu, A mathematical model of MAPK and PKR-IRS pathways in insulin signaling, preprint.
C. Huang and D. Liu, Stochastic simulation of large-scale bio-chemical reacting networks using nested algorithms, preprint.
S. Pouya, D. Liu, and M. Koochesfahani, Apparent motion in single particle tracking and effectof detector exposure time, preprint.
G. Bao, G. Hu and D. Liu, An h-adaptive finite element solver for the calculations of the electronic structures, submitted.
G. Bao, D. Liu and S. Luo, Multi-scale modeling and computation of nano-Optical responses, sbmitted.
G. Bao, G. Hu and D. Liu, An adaptive mesh redistribution technique for solving Kohn-Sham equations by Finite Element Methods, submitted. PDF
G. Bao, D. Liu and S. Luo, Multiphysical modeling and computation of nano optical response, submitted. PDF
D. Liu, Optimal error estimates for Heterogeneous Multiscale Methods for stochastic dynamical systems, submitted. PDF
D. Liu, Strong Convergence Rate of Principle of Averaging for Jump-Diffusion Processes, to appear, J. of Frontiers of Mathematics. PDF
D. Liu, Stochastic simulation of the cell cycle model for budding yeast, Comm. in Computational Physics, 9, 390-405, 2011. PDF
D. Liu, Strong convergence of principle of averaging for multiscale stochastic dynamical systems, Comm. in Mathematical Sciences, 8, 999-1020, 2010. PDF
D. Liu , Analysis of multiscalemethods 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, J. Computational Physics, 227, 8672-8684, 2008. PDF
W. E, D. Liu, and E. Vanden-Eijnden, Response to "Comment on `Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates' [J. Chem. Phys. 123, 194107 (2005)]", J. 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, J. Computational Physics, 221, 158-180, 2007. PDF
D. Liu, Optimal transition paths of stochastic chemical kinetic systems, J. 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, J. Chemical Physics, 123, 194107, 2005. PDF
W. E, D. Liu and E. Vanden-Eijnden, Analysis of numerical techniques for multiscale stochastic dynamical systems, Comm. on Pure and Applied Mathematics, 58, 1544-1585, 2005. PDF
D. Liu and C. Garcia-Cevera, Magnetic switching of ferromagnetic thinfilms under thermal perturbation, J. Applied Physics, 98, 023903, 2005. PDF
D. Liu, Convergence of the spectral method for stochastic Ginzburg-Landau equation driven by space-time white noise, Comm. in Mathematical Sciences, 1, 361-375, 2003. PDF
W. E and D. Liu, Gibbsian dynamics and invariant measures for stochastic dissipative PDEs, J. Statistical Physics, 108, 1125-1156, September, 2002. PDF