Chun Liu

Affiliations:
  • Illinois Institute of Technology, Department of Applied Mathematics, Chicago, IL, USA
  • Pennsylvania State University, Department of Mathematics, University Park, PA, USA


According to our database1, Chun Liu authored at least 48 papers between 2000 and 2023.

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Bibliography

2023
A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis.
J. Sci. Comput., October, 2023

The Cumulative Distribution Function Based Method for Random Drift Model.
CoRR, 2023

2022
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance.
SIAM J. Numer. Anal., 2022

Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density.
J. Comput. Phys., 2022

Modeling and simulation of cell nuclear architecture reorganization process.
J. Comput. Phys., 2022

An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis.
J. Comput. Appl. Math., 2022

A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation.
CoRR, 2022

Energetic Variational Neural Network Discretizations to Gradient Flows.
CoRR, 2022

2021
Structure-Preserving Numerical Methods for Nonlinear Fokker-Planck Equations with Nonlocal Interactions by an Energetic Variational Approach.
SIAM J. Sci. Comput., 2021

A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system.
Math. Comput., 2021

Energetic stable discretization for non-isothermal electrokinetics model.
J. Comput. Phys., 2021

A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance.
J. Comput. Phys., 2021

Generalized SAV approaches for gradient systems.
J. Comput. Appl. Math., 2021

On a deterministic particle-FEM discretization to micro-macro models of dilute polymeric fluids.
CoRR, 2021

A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation.
CoRR, 2021

Modeling and simulation of nuclear architecture reorganization process using a phase field approach.
CoRR, 2021

2020
A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case<sup>☆</sup>.
J. Comput. Phys., 2020

A Structure-preserving, Operator Splitting Scheme for Reaction-Diffusion Equations Involving the Law of Mass Action.
CoRR, 2020

A second order accurate numerical scheme for the porous medium equation by an energetic variational approach.
CoRR, 2020

2019
Numerical Method for Multi-Alleles Genetic Drift Problem.
SIAM J. Numer. Anal., 2019

Coarse-graining Langevin dynamics using reduced-order techniques.
J. Comput. Phys., 2019

Numerical methods for porous medium equation by an energetic variational approach.
J. Comput. Phys., 2019

A new Lagrange Multiplier approach for gradient flows.
CoRR, 2019

Energetic Stable Discretization for Non-Isothermal Electrokinetics Model.
CoRR, 2019

Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach.
CoRR, 2019

2018
Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity.
SIAM J. Math. Anal., 2018

2016
A Generalized Poisson-Nernst-Planck-Navier-Stokes Model on the Fluid with the Crowded Charged Particles: Derivation and Its Well-Posedness.
SIAM J. Math. Anal., 2016

Energetically stable discretizations for charge transport and electrokinetic models.
J. Comput. Phys., 2016

2015
Finite Time Singularities for Hyperbolic Systems.
SIAM J. Math. Anal., 2015

Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density.
J. Sci. Comput., 2015

A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow.
J. Comput. Phys., 2015

2013
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids.
J. Comput. Phys., 2013

2011
Energy law preserving C<sup>0</sup> finite element schemes for phase field models in two-phase flow computations.
J. Comput. Phys., 2011

First-order system least squares and the energetic variational approach for two-phase flow.
J. Comput. Phys., 2011

2009
Axisymmetric Solutions to Coupled Navier-Stokes/Allen-Cahn Equations.
SIAM J. Math. Anal., 2009

2008
Boundary Conditions for the Microscopic FENE Models.
SIAM J. Appl. Math., 2008

2007
Convergence of Numerical Approximations of the Incompressible Navier-Stokes Equations with Variable Density and Viscosity.
SIAM J. Numer. Anal., 2007

Analysis of finite element approximations of a phase field model for two-phase fluids.
Math. Comput., 2007

An energy law preserving C<sup>0</sup> finite element scheme for simulating the kinematic effects in liquid crystal dynamics.
J. Comput. Phys., 2007

2006
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method.
J. Comput. Phys., 2006

Simulations of singularity dynamics in liquid crystal flows: A C<sup>0</sup> finite element approach.
J. Comput. Phys., 2006

Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions.
J. Comput. Phys., 2006

2005
Retrieving Topological Information for Phase Field Models.
SIAM J. Appl. Math., 2005

From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids.
Multiscale Model. Simul., 2005

FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations.
Multiscale Model. Simul., 2005

2002
Time Evolution of Nematic Liquid Crystals with Variable Degree of Orientation.
SIAM J. Math. Anal., 2002

2000
Approximation of Liquid Crystal Flows.
SIAM J. Numer. Anal., 2000

Liquid Crystal Flow: Dynamic and Static Configurations.
SIAM J. Appl. Math., 2000


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