If you made any changes in Pure, your changes will be visible here soon.

Research Output 2003 2019

  • 1065 Citations
  • 13 h-Index
  • 40 Article
  • 2 Conference contribution
  • 1 Review article
2019
Open Access
Boundary conditions
boundary conditions
formulations
approximation
Convolution
1 Citation (Scopus)

A parameter estimation method using linear response statistics: Numerical scheme

Zhang, H., Li, X. & Harlim, J., Mar 1 2019, In : Chaos. 29, 3, 033101.

Research output: Contribution to journalArticle

Linear Response
Parameter estimation
Numerical Scheme
Parameter Estimation
Least Squares Problem

Coarse-graining Langevin dynamics using reduced-order techniques

Ma, L., Li, X. & Liu, C., Mar 1 2019, In : Journal of Computational Physics. 380, p. 170-190 21 p.

Research output: Contribution to journalArticle

Langevin Dynamics
Coarse-graining
Reduced Model
Projection
Moment Matching
2018
1 Citation (Scopus)

On the Asymptotic Behavior of the Kernel Function in the Generalized Langevin Equation: A One-Dimensional Lattice Model

Chu, W. & Li, X., Jan 1 2018, In : Journal of Statistical Physics. 170, 2, p. 378-398 21 p.

Research output: Contribution to journalArticle

Generalized Langevin Equation
kernel functions
One-dimensional Model
Kernel Function
Lattice Model
1 Citation (Scopus)

Stable absorbing boundary conditions for molecular dynamics in general domains

Wu, X. & Li, X., Dec 1 2018, In : Computational Mechanics. 62, 6, p. 1259-1272 14 p.

Research output: Contribution to journalArticle

Dirichlet-to-Neumann Map
Absorbing Boundary Conditions
Molecular Dynamics
Molecular dynamics
Boundary conditions
2017
2 Citations (Scopus)

A Parameter Estimation Method Using Linear Response Statistics

Harlim, J., Li, X. & Zhang, H., Jul 1 2017, In : Journal of Statistical Physics. 168, 1, p. 146-170 25 p.

Research output: Contribution to journalArticle

Linear Response
Parameter Estimation
statistics
Statistics
Test Problems

Fluctuation-dissipation theorem consistent approximation of the langevin dynamics model

Ma, L., Li, X. & Liu, C., Jan 1 2017, In : Communications in Mathematical Sciences. 15, 4, p. 1171-1181 11 p.

Research output: Contribution to journalArticle

Langevin Dynamics
Fluctuation-dissipation Theorem
Dynamic models
Numerical methods
Dynamic Model
1 Citation (Scopus)
boundary element method
Boundary element method
Boundary Elements
Cracks
Atoms
2016
18 Citations (Scopus)

Data-driven parameterization of the generalized Langevin equation

Lei, H., Baker, N. A. & Li, X., Dec 13 2016, In : Proceedings of the National Academy of Sciences of the United States of America. 113, 50, p. 14183-14188 6 p.

Research output: Contribution to journalArticle

parameterization
kernel functions
rational functions
random noise
theorems

From generalized Langevin equations to Brownian dynamics and embedded Brownian dynamics

Ma, L., Li, X. & Liu, C., Sep 21 2016, In : Journal of Chemical Physics. 145, 11, 114102.

Research output: Contribution to journalArticle

Data storage equipment
Stochastic models
approximation
dissipation
theorems
2 Citations (Scopus)

The derivation and approximation of coarse-grained dynamics from Langevin dynamics

Ma, L., Li, X. & Liu, C., Nov 28 2016, In : Journal of Chemical Physics. 145, 20, 204117.

Research output: Contribution to journalArticle

derivation
Data storage equipment
approximation
kernel functions
random noise
1 Citation (Scopus)

Traction boundary conditions for molecular static simulations

Li, X. & Lu, J., Aug 15 2016, In : Computer Methods in Applied Mechanics and Engineering. 308, p. 310-329 20 p.

Research output: Contribution to journalArticle

traction
Boundary conditions
boundary conditions
simulation
shear stress
2015
1 Citation (Scopus)

An atomistic/continuum coupling method using enriched bases

Chen, J., García-Cervera, C. J. & Li, X., Jan 1 2015, In : Multiscale Modeling and Simulation. 13, 3, p. 766-789 24 p.

Research output: Contribution to journalArticle

Coupling Method
Continuum
continuums
Molecular Mechanics
Molecular mechanics
40 Citations (Scopus)

Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalism

Li, Z., Bian, X., Li, X. & Karniadakis, G. E., Dec 28 2015, In : Journal of Chemical Physics. 143, 24, 243128.

Research output: Contribution to journalArticle

formalism
Data storage equipment
Molecular dynamics
molecular dynamics
Polymer melts
5 Citations (Scopus)
Interatomic Potential
Molecular Dynamics
dynamic models
Molecular dynamics
Dynamic models

On the Cauchy-Born approximation at finite temperature

Yang, J. Z., Mao, C., Li, X. & Liu, C., Feb 15 2015, In : Computational Materials Science. 99, p. 21-28 8 p.

Research output: Contribution to journalArticle

Born approximation
Born Approximation
Finite Temperature
Cauchy
derivation
3 Citations (Scopus)
Reduced Model
Parametric Model
nonlinear equations
Nonlinear Equations
Ensemble Kalman Filter
2014
2 Citations (Scopus)

Accurate evaluations of strain and stress in atomistic simulations of crystalline solids

Yang, J. Z., Wu, X. & Li, X., Jan 1 2014, In : Modelling and Simulation in Materials Science and Engineering. 22, 4, 045008.

Research output: Contribution to journalArticle

kernel functions
Atomistic Simulation
Kernel Function
Crystalline materials
evaluation
3 Citations (Scopus)

A numerical study of crack initiation in a bcc iron system based on dynamic bifurcation theory

Li, X., Jan 1 2014, In : Journal of Applied Physics. 116, 16, 164314.

Research output: Contribution to journalArticle

crack initiation
iron
diagrams
molecular interactions
strain rate
3 Citations (Scopus)

A study on the quasi-continuum approximations of a one-dimensional fracture model

Li, X. & Ming, P., Jan 1 2014, In : Multiscale Modeling and Simulation. 12, 3, p. 1379-1400 22 p.

Research output: Contribution to journalArticle

bifurcation
Crack propagation
Continuum
continuums
crack propagation
8 Citations (Scopus)
Coarse-graining
Projection Method
Galerkin Method
Molecular Dynamics
Molecular dynamics
8 Citations (Scopus)
Macromolecules
macromolecules
Data storage equipment
random noise
Numerical methods
5 Citations (Scopus)
Heat Conduction
Heat Flux
statistical mechanics
Statistical Mechanics
conductive heat transfer
5 Citations (Scopus)

On the effect of ghost force in the quasicontinuum method: Dynamic problems in one dimension

Li, X. & Ming, P., Mar 1 2014, In : Communications in Computational Physics. 15, 3, p. 647-676 30 p.

Research output: Contribution to journalArticle

ghosts
norms
spacing
2013
5 Citations (Scopus)

A bifurcation study of crack initiation and kinking

Li, X., Jan 1 2013, In : European Physical Journal B. 86, 6, 258.

Research output: Contribution to journalArticle

kinking
Tensile strain
crack initiation
Shear strain
Crack initiation
2012
15 Citations (Scopus)

A generalized Irving-Kirkwood formula for the calculation of stress in molecular dynamics models

Yang, J. Z., Wu, X. & Li, X., Oct 7 2012, In : Journal of Chemical Physics. 137, 13, 134104.

Research output: Contribution to journalArticle

Continuum mechanics
dynamic models
Molecular dynamics
kernel functions
Dynamic models
5 Citations (Scopus)
static models
boundary element method
Boundary element method
Atoms
atoms
2010
30 Citations (Scopus)

A coarse-grained molecular dynamics model for crystalline solids

Li, X., Aug 20 2010, In : International Journal for Numerical Methods in Engineering. 83, 8-9, p. 986-997 12 p.

Research output: Contribution to journalArticle

Molecular Dynamics
Molecular dynamics
Dynamic models
Dynamic Model
Crystalline materials
25 Citations (Scopus)

A multiscale coupling method for the modeling of dynamics of solids with application to brittle cracks

Li, X., Yang, J. Z. & Weinan, E., Apr 20 2010, In : Journal of Computational Physics. 229, 10, p. 3970-3987 18 p.

Research output: Contribution to journalArticle

cracks
Cracks
dynamic models
Dynamic models
continuums

The heterogeneous multiscale method for dynamics of solids with applications to brittle cracks

Yang, J. Z. & Li, X., 2010, Multiphysics Modeling in Materials Design. Vol. 1229. p. 25-30 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Elastic waves
Molecular dynamics
cracks
Cracks
elastic waves
2009
9 Citations (Scopus)
static models
Boundary conditions
boundary conditions
Atoms
atoms
9 Citations (Scopus)

On the stability of boundary conditions for molecular dynamics

Li, X., Sep 15 2009, In : Journal of Computational and Applied Mathematics. 231, 2, p. 493-505 13 p.

Research output: Contribution to journalArticle

Molecular Dynamics
Molecular dynamics
Boundary conditions
Stability criteria
Interaction
2008
9 Citations (Scopus)

The discontinuous galerkin method for the multiscale modeling of dynamics of crystalline solids

Wang, W., Shu, C. W. & Li, X., Nov 7 2008, In : Multiscale Modeling and Simulation. 7, 1, p. 294-320 27 p.

Research output: Contribution to journalArticle

Galerkin method
Multiscale Modeling
Discontinuous Galerkin Method
Galerkin methods
Molecular Dynamics
13 Citations (Scopus)

Variational boundary conditions for molecular dynamics simulations: Treatment of the loading condition

Li, X., Dec 20 2008, In : Journal of Computational Physics. 227, 24, p. 10078-10093 16 p.

Research output: Contribution to journalArticle

Molecular dynamics
Boundary conditions
boundary conditions
molecular dynamics
Computer simulation
2007
502 Citations (Scopus)

Heterogeneous multiscale methods: A review

E, W., Engquist, B., Li, X., Ren, W. & Vanden-Eijnden, E., Jan 1 2007, In : Communications in Computational Physics. 2, 3, p. 367-450 84 p.

Research output: Contribution to journalReview article

fluidics
error analysis
molecular dynamics
fluids
37 Citations (Scopus)
Molecular dynamics
baths
Boundary conditions
boundary conditions
molecular dynamics
2006
14 Citations (Scopus)
Molecular dynamics
cracks
Boundary conditions
boundary conditions
molecular dynamics

Interface conditions for coupled atomistic and continuum models of solids for dynamics problems at finite temperature

Li, X. & Weinan, E., Dec 1 2006, Multiscale Modeling of Materials. Vol. 978. p. 304-320 17 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

continuums
Temperature
temperature
2005
90 Citations (Scopus)

Multiscale modeling of the dynamics of solids at finite temperature

Li, X. & E, W., Jul 1 2005, In : Journal of the Mechanics and Physics of Solids. 53, 7, p. 1650-1685 36 p.

Research output: Contribution to journalArticle

continuums
Defects
Phase boundaries
Thermal expansion
Tensors
2004
24 Citations (Scopus)
Euler-Poisson Equations
klystrons
Wave Breaking
Multivalued
Poisson equation
2003
58 Citations (Scopus)

Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner

Jin, S. & Li, X., Aug 1 2003, In : Physica D: Nonlinear Phenomena. 182, 1-2, p. 46-85 40 p.

Research output: Contribution to journalArticle

vlasov equations
Liouville equations
linear equations
closures
wave equations
69 Citations (Scopus)

Numerical approximations of pressureless and isothermal gas dynamics

Bouchut, F., Jin, S. & Li, X., Feb 1 2003, In : SIAM Journal on Numerical Analysis. 41, 1, p. 135-158 24 p.

Research output: Contribution to journalArticle

Gas dynamics
Gas Dynamics
Numerical Approximation
Shock
Vacuum
41 Citations (Scopus)

Two moment systems for computing multiphase semiclassical limits of the schrödinger equation

Gosse, L., Jin, S. & Li, X., Dec 1 2003, In : Mathematical Models and Methods in Applied Sciences. 13, 12, p. 1689-1723 35 p.

Research output: Contribution to journalArticle

Delta functions
Semiclassical Limit
Linear equations
Moment
Computing