Chun Liu
Orcid: 0000-0002-0480-0107Affiliations:
- 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 66 papers
between 2000 and 2025.
Collaborative distances:
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Bibliography
2025
J. Comput. Phys., 2025
2024
SIAM J. Sci. Comput., 2024
On pattern formation in the thermodynamically-consistent variational Gray-Scott model.
CoRR, 2024
CoRR, 2024
On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance.
CoRR, 2024
2023
A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis.
J. Sci. Comput., October, 2023
J. Comput. Phys., October, 2023
On a Continuum Model for Random Genetic Drift: A Dynamical Boundary Condition Approach.
CoRR, 2023
2022
A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation.
SIAM J. Sci. Comput., August, 2022
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance.
SIAM J. Numer. Anal., 2022
J. Comput. Phys., 2022
Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis.
J. Comput. Phys., 2022
Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density.
J. Comput. Phys., 2022
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
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
J. Comput. Phys., 2021
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance.
J. Comput. Phys., 2021
On a deterministic particle-FEM discretization to micro-macro models of dilute polymeric fluids.
CoRR, 2021
Modeling and simulation of nuclear architecture reorganization process using a phase field approach.
CoRR, 2021
A two species micro-macro model of wormlike micellar solutions and its maximum entropy closure approximations: An energetic variational approach.
CoRR, 2021
2020
A Variational Lagrangian Scheme for a Phase-Field Model: A Discrete Energetic Variational Approach.
SIAM J. Sci. Comput., 2020
On Lagrangian schemes for porous medium type generalized diffusion equations: A discrete energetic variational approach.
J. Comput. Phys., 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
J. Comput. Phys., 2019
J. Comput. Phys., 2019
Complex far-field geometries determine the stability of solid tumor growth with chemotaxis.
CoRR, 2019
Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach.
CoRR, 2019
2018
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
J. Comput. Phys., 2016
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
SIAM J. Math. Anal., 2009
2008
An Enhanced Macroscopic Closure Approximation to the Micro-Macro FENE Model for Polymeric Materials.
Multiscale Model. Simul., 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
From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids.
Multiscale Model. Simul., 2005
Multiscale Model. Simul., 2005
2002
SIAM J. Math. Anal., 2002
2000