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.

simulation
Physics & Astronomy

reaction kinetics
Physics & Astronomy

Time Scales
Mathematics

Multiscale Methods
Mathematics

Strong Convergence
Mathematics

Finite element method
Engineering & Materials Science

finite element method
Physics & Astronomy

Stochastic Dynamical Systems
Mathematics

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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 2016

- 7 h-Index
- 21 Article

## 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: Research - peer-review › Article

electromagnetic fields

Electromagnetic fields

current density

electronics

excitation

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: Research - peer-review › Article

invariance

finite element method

oscillations

energy

electronic structure

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: Research - peer-review › Article

sampling

Sampling

diffusion coefficient

simulation

scaling laws

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: Research - peer-review › Article

Wave functions

Masks

Numerical methods

Finite element method

Computer simulation

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: Research - peer-review › Article

simulation

estimates