• 7 h-Index
20022017
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Publications 2002 2017

  • 7 h-Index
  • 22 Article
2017

Error analysis for D-leaping scheme of chemical reaction system with delay

Chen, C. & Liu, D. Jan 1 2017 In : Multiscale Modeling and Simulation. 15, 4, p. 1797-1829 33 p.

Research output: Contribution to journalArticle

error analysis
Chemical Reaction
Error Analysis
chemical reaction
Error analysis
2016

Multiscale modeling and computation of optically manipulated nano devices

Bao, G., Liu, D. & Luo, S. Jul 1 2016 In : Journal of Computational Physics. 316, p. 558-572 15 p.

Research output: Contribution to journalArticle

Electromagnetic fields
electromagnetic fields
Current density
current density
Azobenzene
1 Citations

Towards Translational Invariance of Total Energy with Finite Element Methods for Kohn-Sham Equation

Bao, G., Hu, G. & Liu, D. Jan 15 2016 In : Communications in Computational Physics. 19, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

invariance
finite element method
oscillations
electronic structure
energy
2015
3 Citations

Effect of finite sampling time on estimation of Brownian fluctuation

Pouya, S., Liu, D. & Koochesfahani, M. M. 2015 In : Journal of Fluid Mechanics. 767, p. 65-84 20 p.

Research output: Contribution to journalArticle

sampling
Sampling
diffusion coefficient
scaling laws
Scaling laws
4 Citations

Real-time adaptive finite element solution of time-dependent Kohn-Sham equation

Bao, G., Hu, G. & Liu, D. Jan 5 2015 In : Journal of Computational Physics. 281, p. 743-758 16 p.

Research output: Contribution to journalArticle

Wave functions
Masks
Numerical methods
Finite element method
mesh
2014
4 Citations

Strong convergence and speed up of nested stochastic simulation algorithm

Huang, C. & Liu, D. Apr 2014 In : Communications in Computational Physics. 15, 4, p. 1207-1236 30 p.

Research output: Contribution to journalArticle

simulation
estimates
4 Citations

Systematic modeling for the insulin signaling network mediated by IRS1 and IRS2

Huang, C., Wu, M., Du, J., Liu, D. & Chan, C. Aug 21 2014 In : Journal of Theoretical Biology. 355, p. 40-52 13 p.

Research output: Contribution to journalArticle

Insulin
insulin
Modeling
kinetics
Insulin Receptor
2013
2 Citations

A multiscale method for optical responses of nanostructures

Bao, G., Liu, D. & Luo, S. 2013 In : SIAM Journal on Applied Mathematics. 73, 2, p. 741-756 16 p.

Research output: Contribution to journalArticle

Multiscale Methods
Nanostructures
Electromagnetic fields
Electromagnetic Fields
Current density
10 Citations

Numerical solution of the kohn-sham equation by finite element methods with an adaptive mesh redistribution technique

Bao, G., Hu, G. & Liu, D. 2013 In : Journal of Scientific Computing. 55, 2, p. 372-391 20 p.

Research output: Contribution to journalArticle

Adaptive Mesh
Redistribution
Wave functions
Finite Element Method
Numerical Solution
2012
23 Citations

An h-adaptive finite element solver for the calculations of the electronic structures

Bao, G., Hu, G. & Liu, D. May 20 2012 In : Journal of Computational Physics. 231, 14, p. 4967-4979 13 p.

Research output: Contribution to journalArticle

Electronic structure
finite element method
electronic structure
Finite element method
conjugate gradient method
4 Citations

Strong convergence rate of principle of averaging for jump-diffusion processes

Liu, D. Apr 2012 In : Frontiers of Mathematics in China. 7, 2, p. 305-320 16 p.

Research output: Contribution to journalArticle

Jump-diffusion Process
Strong Convergence
Averaging
Convergence Rate
Time Scales
2011

Stochastic simulation of the cell cycle model for budding yeast

Liu, D. Feb 2011 In : Communications in Computational Physics. 9, 2, p. 390-405 16 p.

Research output: Contribution to journalArticle

yeast
cycles
simulation
costs
2010
6 Citations
Stochastic Dynamical Systems
Multiple Time Scales
Multiscale Methods
dynamical systems
Numerical Scheme
18 Citations

Strong convergence of principle of averaging for multiscale stochastic dynamical systems

Liu, D. Dec 2010 In : Communications in Mathematical Sciences. 8, 4, p. 999-1020 22 p.

Research output: Contribution to journalArticle

Stochastic Dynamical Systems
Strong Convergence
Stochastic Equations
Averaging
Dynamical systems
2008
6 Citations

A numerical scheme for optimal transition paths of stochastic chemical kinetic systems

Liu, D. Oct 1 2008 In : Journal of Computational Physics. 227, 19, p. 8672-8684 13 p.

Research output: Contribution to journalArticle

Reaction kinetics
reaction kinetics
Random processes
Escherichia coli
Genes
2007
76 Citations

Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales

E, W., Liu, D. & Vanden-Eijnden, E. Jan 20 2007 In : Journal of Computational Physics. 221, 1, p. 158-180 23 p.

Research output: Contribution to journalArticle

Reaction kinetics
reaction kinetics
simulation
estimates
3 Citations
2006
4 Citations

Optimal transition paths of stochastic chemical kinetic systems

Liu, D. 2006 In : Journal of Chemical Physics. 124, 16, 164104

Research output: Contribution to journalArticle

Reaction kinetics
reaction kinetics
Differential equations
Switches
variational principles
2005
80 Citations

Analysis of multiscale methods for stochastic differential equations

E, W., Liu, D. & Vanden-Eijnden, E. Nov 2005 In : Communications on Pure and Applied Mathematics. 58, 11, p. 1544-1585 42 p.

Research output: Contribution to journalArticle

Multiple Time Scales
A.s. Convergence
Multiscale Methods
Strong Theorems
Optimal Strategy
1 Citations

Magnetic switching of ferromagnetic thin films under thermal perturbation

Liu, D. & Garcia-Cervera, C. Jul 15 2005 In : Journal of Applied Physics. 98, 2, 023903

Research output: Contribution to journalArticle

magnetic switching
perturbation
thin films
metastable state
thermal noise
121 Citations

Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates

E, W., Liu, D. & Vanden-Eijnden, E. Nov 15 2005 In : Journal of Chemical Physics. 123, 19, 194107

Research output: Contribution to journalArticle

Reaction kinetics
reaction kinetics
simulation
Markov processes
theorems
2002
9 Citations

Gibbsian dynamics and invariant measures for stochastic dissipative PDEs

Liu, D. 2002 In : Journal of Statistical Physics. 108, 5-6, p. 1125-1156 32 p.

Research output: Contribution to journalArticle

pulse detonation engines
Ergodicity
Invariant Measure
Girsanov Theorem
Cahn-Hilliard Equation