D. Liu, Stochastic Simulation of the Cell Cycle Model for Budding
Yeast, submitted. PDF
D. Liu , Analysis of multiscale methods for stochastic dynamical
systems with multiple time scales,
submitted. PDF
D. Liu, Strong convergence of principle of averaging for
multiscale stochastic dynamical systems,
submitted. 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, Commun. 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,
Commun. 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
