Publications 2002 2016

  • 6 h-Index
  • 21 Article
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Article
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
electronics
excitation
Current density
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

oscillations
energy
finite element method
electronic structure
estimators
2015
2 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

diffusion coefficient
simulation
scaling laws
Scaling laws
interrogation
3 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
Computer simulation
2014
2 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
kinetics
Anthralin
Model
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
Electromagnetic fields
Current density
Multiscale computation
Scale space
6 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

Mesh
Wave functions
Finite element method
Atoms
Experiments
2012
21 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

finite element method
Finite element method
conjugate gradient method
tetrahedrons
mesh
3 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
Convergence rate
Time scales
Stochastic dynamics
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

simulation
yeast
cycles
costs
2010
5 Citations
Stochastic dynamical systems
Cypriniformes
dynamical systems
Dynamical systems
timescale
12 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

Strong convergence
Dynamical systems
Differential equations
Stochastic dynamical systems
Stochastic equations
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
Random processes
Escherichia coli
Genes
Switches
2007
71 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

simulation
reaction kinetics
Reaction kinetics
estimates
3 Citations
Reaction kinetics
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

Benin
National Bibliographies
Anthralin
Gastrula
Spontaneous Fractures
2005
71 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

Stochastic equations
Differential equation
Differential equations
Multiple time scales
A.s. convergence
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

temperature
magnetic switching
metastable state
thin films
thermal noise
108 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

Airway Obstruction
simulation
Benin
reaction kinetics
Kinesics
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

Ergodicity
pulse detonation engines
Girsanov theorem
Cahn-Hilliard equation
Ginzburg-Landau