D. Liu , Convergence of multiscale integration methods for stochastic differential equations, preprint.
D. Liu, Strong convergence of principle of averaging for multiscale stochastic dynamical systems, submitted.
D. Liu, A numerical scheme for optimal transition paths of stochastic chemical kinetic
systems, J. Computational Physics, 227,
8672-8684, 2008.
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.
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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.
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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.
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