Chun Liu

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 31

Top Topics

Numerical Scheme

Variational Formulation

Convergence Analysis

Operator Splitting

Top Venues

J. Comput. Phys.

SIAM J. Math. Anal.

J. Comput. Appl. Math.

Publications

Ziqing Hu, Chun Liu, Yiwei Wang, Zhiliang Xu
Energetic Variational Neural Network Discretizations of Gradient Flows. SIAM J. Sci. Comput. 46 (4) (2024)
Chenghua Duan, Chun Liu, Xingye Yue
The Cumulative Distribution Function Based Method for Random Drift Model. CoRR (2023)
Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis. J. Sci. Comput. 97 (1) (2023)
Zhenlin Guo, Qing Cheng, Ping Lin, Chun Liu, John S. Lowengrub
Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density. J. Comput. Phys. 448 (2022)
Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen
Modeling and simulation of cell nuclear architecture reorganization process. J. Comput. Phys. 449 (2022)
Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. J. Comput. Appl. Math. 406 (2022)
Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance. SIAM J. Numer. Anal. 60 (2) (2022)
Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation. CoRR (2022)
Ziqing Hu, Chun Liu, Yiwei Wang, Zhiliang Xu
Energetic Variational Neural Network Discretizations to Gradient Flows. CoRR (2022)
Xuelian Bao, Chun Liu, Yiwei Wang
On a deterministic particle-FEM discretization to micro-macro models of dilute polymeric fluids. CoRR (2021)
Simo Wu, Chun Liu, Ludmil T. Zikatanov
Energetic stable discretization for non-isothermal electrokinetics model. J. Comput. Phys. 425 (2021)
Chenghua Duan, Wenbin Chen, Chun Liu, Xingye Yue, Shenggao Zhou
Structure-Preserving Numerical Methods for Nonlinear Fokker-Planck Equations with Nonlocal Interactions by an Energetic Variational Approach. SIAM J. Sci. Comput. 43 (1) (2021)
Chun Liu, Cheng Wang, Yiwei Wang
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance. J. Comput. Phys. 436 (2021)
Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen
Modeling and simulation of nuclear architecture reorganization process using a phase field approach. CoRR (2021)
Chun Liu, Cheng Wang, Yiwei Wang
A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation. CoRR (2021)
Qing Cheng, Chun Liu, Jie Shen
Generalized SAV approaches for gradient systems. J. Comput. Appl. Math. 394 (2021)
Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. CoRR (2021)
Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. Math. Comput. 90 (331) (2021)
Qing Cheng, Chun Liu, Jie Shen
. J. Comput. Phys. 419 (2020)
Chenghua Duan, Wenbin Chen, Chun Liu, Cheng Wang, Xingye Yue
A second order accurate numerical scheme for the porous medium equation by an energetic variational approach. CoRR (2020)
Chenghua Duan, Wenbin Chen, Chun Liu, Xingye Yue, Shenggao Zhou
Structure-Preserving Numerical Methods for Nonlinear Fokker-Planck Equations with Nonlocal Interactions by an Energetic Variational Approach. CoRR (2020)
Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. CoRR (2020)
Chun Liu, Cheng Wang, Yiwei Wang
A Structure-preserving, Operator Splitting Scheme for Reaction-Diffusion Equations Involving the Law of Mass Action. CoRR (2020)
Simo Wu, Chun Liu, Ludmil Zitakanov
Energetic Stable Discretization for Non-Isothermal Electrokinetics Model. CoRR (2019)
Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue
Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach. CoRR (2019)
Qing Cheng, Chun Liu, Jie Shen
A new Lagrange Multiplier approach for gradient flows. CoRR (2019)
Lina Ma, Xiantao Li, Chun Liu
Coarse-graining Langevin dynamics using reduced-order techniques. J. Comput. Phys. 380 (2019)
Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue
Numerical methods for porous medium equation by an energetic variational approach. J. Comput. Phys. 385 (2019)
Barbora Benesová, Johannes Forster, Chun Liu, Anja Schlömerkemper
Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity. SIAM J. Math. Anal. 50 (1) (2018)
Maximilian S. Metti, Jinchao Xu, Chun Liu
Energetically stable discretizations for charge transport and electrokinetic models. J. Comput. Phys. 306 (2016)
Yong Wang, Chun Liu, Zhong Tan
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. 48 (5) (2016)
Geng Chen, Tao Huang, Chun Liu
Finite Time Singularities for Hyperbolic Systems. SIAM J. Math. Anal. 47 (1) (2015)
Wenrui Hao, Zhiliang Xu, Chun Liu, Guang Lin
A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow. J. Comput. Phys. 280 (2015)
Chun Liu, Jie Shen, Xiaofeng Yang
Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density. J. Sci. Comput. 62 (2) (2015)
Xiaofeng Yang, M. Gregory Forest, Huiyuan Li, Chun Liu, Jie Shen, Qi Wang, Falai Chen
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. J. Comput. Phys. 236 (2013)
Jinsong Hua, Ping Lin, Chun Liu, Qi Wang
finite element schemes for phase field models in two-phase flow computations. J. Comput. Phys. 230 (19) (2011)
J. H. Adler, James J. Brannick, Chun Liu, Thomas A. Manteuffel, Ludmil T. Zikatanov
First-order system least squares and the energetic variational approach for two-phase flow. J. Comput. Phys. 230 (17) (2011)
Xiang Xu, Liyun Zhao, Chun Liu
Axisymmetric Solutions to Coupled Navier-Stokes/Allen-Cahn Equations. SIAM J. Math. Anal. 41 (6) (2009)
Chun Liu, Hailiang Liu
Boundary Conditions for the Microscopic FENE Models. SIAM J. Appl. Math. 68 (5) (2008)
Ping Lin, Chun Liu, Hui Zhang
finite element scheme for simulating the kinematic effects in liquid crystal dynamics. J. Comput. Phys. 227 (2) (2007)
Xiaobing Feng, Yinnian He, Chun Liu
Analysis of finite element approximations of a phase field model for two-phase fluids. Math. Comput. 76 (258) (2007)
Chun Liu, Noel Walkington
Convergence of Numerical Approximations of the Incompressible Navier-Stokes Equations with Variable Density and Viscosity. SIAM J. Numer. Anal. 45 (3) (2007)
Ping Lin, Chun Liu
finite element approach. J. Comput. Phys. 215 (1) (2006)
Qiang Du, Chun Liu, Xiaoqiang Wang
Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. J. Comput. Phys. 212 (2) (2006)
Xiaofeng Yang, James J. Feng, Chun Liu, Jie Shen
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method. J. Comput. Phys. 218 (1) (2006)
Peng Yu, Qiang Du, Chun Liu
From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids. Multiscale Model. Simul. 3 (4) (2005)
Qiang Du, Chun Liu, Xiaoqiang Wang
Retrieving Topological Information for Phase Field Models. SIAM J. Appl. Math. 65 (6) (2005)
Qiang Du, Chun Liu, Peng Yu
FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations. Multiscale Model. Simul. 4 (3) (2005)
Maria-Carme Calderer, Dmitry Golovaty, Fang Hua Lin, Chun Liu
Time Evolution of Nematic Liquid Crystals with Variable Degree of Orientation. SIAM J. Math. Anal. 33 (5) (2002)
Chun Liu, Maria-Carme Calderer
Liquid Crystal Flow: Dynamic and Static Configurations. SIAM J. Appl. Math. 60 (6) (2000)
Chun Liu, Noel J. Walkington
Approximation of Liquid Crystal Flows. SIAM J. Numer. Anal. 37 (3) (2000)