Grants per year

## Profile The profile is based on mining the text of the experts' scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Multiscale Methods
Mathematics

Time Scales
Mathematics

reaction kinetics
Physics & Astronomy

Strong Convergence
Mathematics

Stochastic Dynamical Systems
Mathematics

Multiple Time Scales
Mathematics

Differential equations
Engineering & Materials Science

Wave functions
Engineering & Materials Science

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Grants 2006 2017

- 7 Finished

## Mathematics and Computation of Nonlinear Problems in Diffractive Optics Modeling

5/31/12 → 5/30/15

Project: Research project

## International Conference on Interdisciplinary Applied and Computational Mathematics

4/30/11 → 4/29/12

Project: Research project

## FRG: Collaborative Research: Modeling, Computation, and Analysis of Optical Responses of Nano Structures

Liu, D., Schenker, J. H. & Zhou, Z.

5/31/09 → 5/30/12

Project: Research project

## CAREER Modeling, Analysis and Computations of Stochastic Intracellular Reactions

5/15/09 → 5/14/14

Project: Research project

## Publications 2002 2017

- 7 h-Index
- 22 Article

## 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 journal › Article

error analysis

Chemical Reaction

Error Analysis

chemical reaction

Error analysis

## 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 journal › Article

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 journal › Article

invariance

finite element method

oscillations

electronic structure

energy

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 journal › Article

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 journal › Article

Wave functions

Masks

Numerical methods

Finite element method

mesh