Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation. - Cheng Wang 015; Jian-Guo Liu 006 (Numerische Mathematik, 2002)

A Fourth Order Scheme for Incompressible Boussinesq Equations. - Jian-Guo Liu 006; Cheng Wang 015; Hans Johnston (J. Sci. Comput., 2003)

Analysis of a fourth order finite difference method for the incompressible Boussinesq equations. - Cheng Wang 015; Jian-Guo Liu 006; Hans Johnston (Numerische Mathematik, 2004)

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. - Zhengzheng Hu; Steven M. Wise; Cheng Wang 015; John S. Lowengrub (J. Comput. Phys., 2009)

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation. - Steven M. Wise; Cheng Wang 015; John S. Lowengrub (SIAM J. Numer. Anal., 2009)

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation. - Cheng Wang 015; Steven M. Wise (SIAM J. Numer. Anal., 2011)

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection. - Wenbin Chen 006; Sidafa Conde; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (J. Sci. Comput., 2012)

Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers' Equation. - Sigal Gottlieb; Cheng Wang 015 (J. Sci. Comput., 2012)

Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier-Stokes Equations. - Sigal Gottlieb; Florentina Tone; Cheng Wang 015; Xiaoming Wang 009; Djoko Wirosoetisno (SIAM J. Numer. Anal., 2012)

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. - Jie Shen 001; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (SIAM J. Numer. Anal., 2012)

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. - Arvind Baskaran; Zhengzheng Hu; John S. Lowengrub; Cheng Wang 015; Steven M. Wise; Peng Zhou (J. Comput. Phys., 2013)

Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation. - Arvind Baskaran; John S. Lowengrub; Cheng Wang 015; Steven M. Wise (SIAM J. Numer. Anal., 2013)

Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. - Zhen Guan; John S. Lowengrub; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2014)

A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection. - Wenbin Chen 006; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (J. Sci. Comput., 2014)

A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier-Stokes Equations. - Hans Johnston; Cheng Wang 015; Jian-Guo Liu 006 (J. Sci. Comput., 2014)

A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation. - Zhen Guan; Cheng Wang 015; Steven M. Wise (Numerische Mathematik, 2014)

An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term. - Lingdi Wang; Wenbin Chen 006; Cheng Wang 015 (J. Comput. Appl. Math., 2015)

Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis. - Yunhua Xue; Cheng Wang 015; Jian-Guo Liu 006 (J. Sci. Comput., 2015)

An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. - Zhen Guan; Vili Heinonen; John S. Lowengrub; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2016)

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn-Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method. - Kelong Cheng; Cheng Wang 015; Steven M. Wise; Xingye Yue (J. Sci. Comput., 2016)

Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. - Wenbin Chen 006; Yuan Liu; Cheng Wang 015; Steven M. Wise (Math. Comput., 2016)

Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier-Stokes Equations. - Kelong Cheng; Cheng Wang 015 (SIAM J. Numer. Anal., 2016)

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. - Wenqiang Feng; Abner J. Salgado; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2017)

Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. - Amanda E. Diegel; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (Numerische Mathematik, 2017)

Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. - Yuan Liu; Wenbin Chen 006; Cheng Wang 015; Steven M. Wise (Numerische Mathematik, 2017)

Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation. - Lixiu Dong; Wenqiang Feng; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (Comput. Math. Appl., 2018)

Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. - Ying Chen; John S. Lowengrub; Jie Shen 001; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2018)

A second order numerical scheme for the annealing of metal-intermetallic laminate composite: A ternary reaction system. - Shenggao Zhou; Yu Wang; Xingye Yue; Cheng Wang 015 (J. Comput. Phys., 2018)

A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation and Its Convergence Analysis. - Wenqiang Feng; Zhen Guan; John S. Lowengrub; Cheng Wang 015; Steven M. Wise; Ying Chen (J. Sci. Comput., 2018)

A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection. - Weijia Li; Wenbin Chen 006; Cheng Wang 015; Yue Yan; Ruijian He (J. Sci. Comput., 2018)

On the Operator Splitting and Integral Equation Preconditioned Deferred Correction Methods for the "Good" Boussinesq Equation. - Cheng Zhang; Jingfang Huang; Cheng Wang 015; Xingye Yue (J. Sci. Comput., 2018)

An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation. - Kelong Cheng; Cheng Wang 015; Steven M. Wise (CoRR, 2019)

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. - Wenbin Chen 006; Weijia Li; Zhiwen Luo; Cheng Wang 015; Xiaoming Wang 009 (CoRR, 2019)

Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach. - Chenghua Duan; Chun Liu 009; Cheng Wang 015; Xingye Yue (CoRR, 2019)

An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation. - Kelong Cheng; Wenqiang Feng; Cheng Wang 015; Steven M. Wise (J. Comput. Appl. Math., 2019)

Numerical methods for porous medium equation by an energetic variational approach. - Chenghua Duan; Chun Liu 009; Cheng Wang 015; Xingye Yue (J. Comput. Phys., 2019)

Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. - Wenbin Chen 006; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (J. Comput. Phys. X, 2019)

A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability. - Kelong Cheng; Zhonghua Qiao; Cheng Wang 015 (J. Sci. Comput., 2019)

A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. - Lixiu Dong; Cheng Wang 015; Hui Zhang; Zhengru Zhang (CoRR, 2020)

A second order accurate numerical scheme for the porous medium equation by an energetic variational approach. - Chenghua Duan; Wenbin Chen 006; Chun Liu 009; Cheng Wang 015; Xingye Yue (CoRR, 2020)

A Structure-preserving, Operator Splitting Scheme for Reaction-Diffusion Equations Involving the Law of Mass Action. - Chun Liu 009; Cheng Wang 015; Yiwei Wang (CoRR, 2020)

A decoupled scheme with second-order temporal accuracy for magnetohydrodynamic equations. - Cheng Wang 015; Jilu Wang; Zeyu Xia 001; Liwei Xu (CoRR, 2020)

Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection. - Shufen Wang; Wenbin Chen 006; Hanshuang Pan; Cheng Wang 015 (J. Comput. Appl. Math., 2020)

A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis. - Kelong Cheng; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2020)

Second-order semi-implicit projection methods for micromagnetics simulations. - Changjian Xie; Carlos J. García-Cervera; Cheng Wang 015; Zhennan Zhou; Jingrun Chen (J. Comput. Phys., 2020)

Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation. - Chenhui Zhang; Jie Ouyang; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2020)

Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System. - Wenbin Chen 006; Cheng Wang 015; Shufen Wang; Xiaoming Wang 009; Steven M. Wise (J. Sci. Comput., 2020)

A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. - Yuzhe Qin; Cheng Wang 015; Zhengru Zhang (CoRR, 2021)

Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. - Wenbin Chen 006; Daozhi Han; Cheng Wang 015; Shufen Wang; Xiaoming Wang 009; Yichao Zhang (CoRR, 2021)

Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters. - Yongyong Cai; Jingrun Chen; Cheng Wang 015; Changjian Xie (CoRR, 2021)

An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. - Jing Guo; Cheng Wang 015; Steven M. Wise; Xingye Yue (J. Comput. Appl. Math., 2021)

A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. - Lixiu Dong; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Phys., 2021)

A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance. - Chun Liu 009; Cheng Wang 015; Yiwei Wang (J. Comput. Phys., 2021)

A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions. - Yiran Qian; Cheng Wang 015; Shenggao Zhou (J. Comput. Phys., 2021)

An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels. - Maoqin Yuan; Wenbin Chen 006; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Sci. Comput., 2021)

Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation. - Xiao Li; Zhonghua Qiao; Cheng Wang 015 (Math. Comput., 2021)

A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (Math. Comput., 2021)

Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model. - Juan Zhang; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (SIAM J. Sci. Comput., 2021)

Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson-Nernst-Planck Equations. - Jie Ding; Cheng Wang 015; Shenggao Zhou (CoRR, 2022)

Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. - Cheng Wang 015; Jilu Wang; Zeyu Xia 001; Liwei Xu (CoRR, 2022)

A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (CoRR, 2022)

Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation. - Jingrun Chen; Panchi Li; Cheng Wang 015 (CoRR, 2022)

Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. - Xiao Li; Zhonghua Qiao; Cheng Wang 015 (CoRR, 2022)

Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. - Lixiu Dong; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Appl. Math., 2022)

An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (J. Comput. Appl. Math., 2022)

High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow. - Zeyu Xia 001; Cheng Wang 015; Liwei Xu; Zhengru Zhang (J. Comput. Appl. Math., 2022)

A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters. - Yongyong Cai; Jingrun Chen; Cheng Wang 015; Changjian Xie (J. Comput. Phys., 2022)

A Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System. - Wenbin Chen 006; Jianyu Jing; Cheng Wang 015; Xiaoming Wang 009 (J. Sci. Comput., 2022)

Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance. - Chun Liu 009; Cheng Wang 015; Yiwei Wang; Steven M. Wise (SIAM J. Numer. Anal., 2022)

A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation. - Chun Liu 009; Cheng Wang 015; Yiwei Wang (SIAM J. Sci. Comput., 2022)

IMEX-RK methods for Landau-Lifshitz equation with arbitrary damping. - Yan Gui; Cheng Wang 015; Jingrun Chen (CoRR, 2023)

Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. - Yunzhuo Guo; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (Math. Comput., 2023)

A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (J. Sci. Comput., 2023)

Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential. - Amanda E. Diegel; Cheng Wang 015; Steven M. Wise (CoRR, 2024)

On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance. - Chun Liu 009; Cheng Wang 015; Yiwei Wang (CoRR, 2024)

A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation. - Jing Guo; Cheng Wang 015; Yue Yan; Xingye Yue (CoRR, 2024)

A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis. - Jie Ding; Cheng Wang 015; Shenggao Zhou (CoRR, 2024)

Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation. - Xiao Li; Zhonghua Qiao; Cheng Wang 015; Nan Zheng (CoRR, 2024)

Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. - Wenbin Chen 006; Jianyu Jing; Qianqian Liu; Cheng Wang 015; Xiaoming Wang 009 (J. Comput. Appl. Math., 2024)

Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations. - Cheng Wang 015; Jilu Wang; Steven M. Wise; Zeyu Xia 001; Liwei Xu (J. Comput. Appl. Math., 2024)

Maximum Bound Principle and Bound Preserving ETD schemes for a Phase-Field Model of Tumor Growth with Extracellular Matrix Degradation. - Qiumei Huang; Zhonghua Qiao; Cheng Wang 015; Huiting Yang (CoRR, 2025)

A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. - Yunzhuo Guo; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Appl. Math., 2026)