Cheng Wang

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 50

Top Topics

Numerical Scheme

Convergence Analysis

Top Venues

J. Comput. Phys.

J. Sci. Comput.

J. Comput. Appl. Math.

Publications

Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. CoRR (2024)
Cheng Wang, Jilu Wang, Steven M. Wise, Zeyu Xia, Liwei Xu
Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations. J. Comput. Appl. Math. 436 (2024)
Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang
Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system. J. Comput. Appl. Math. 450 (2024)
Jing Guo, Cheng Wang, Yue Yan, Xingye Yue
A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation. CoRR (2024)
Amanda E. Diegel, Cheng Wang, Steven M. Wise
Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential. CoRR (2024)
Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. Math. Comput. 93 (349) (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)
Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. J. Comput. Appl. Math. 415 (2022)
Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang
A Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System. J. Sci. Comput. 92 (2) (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)
Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels. J. Sci. Comput. 87 (3) (2021)
Jing Guo, Cheng Wang, Steven M. Wise, Xingye Yue
An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. J. Comput. Appl. Math. 388 (2021)
Yiran Qian, Cheng Wang, Shenggao Zhou
A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions. J. Comput. Phys. 426 (2021)
Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang
Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model. SIAM J. Sci. Comput. 43 (2) (2021)
Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
A positivity-preserving, energy stable scheme for a Ternary Cahn-Hilliard system with the singular interfacial parameters. CoRR (2021)
Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels. 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)
Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. CoRR (2020)
Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. CoRR (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)
Kelong Cheng, Cheng Wang, Steven M. Wise
A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis. J. Comput. Phys. 405 (2020)
Shufen Wang, Wenbin Chen, Hanshuang Pan, Cheng Wang
Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection. J. Comput. Appl. Math. 377 (2020)
Chenhui Zhang, Jie Ouyang, Cheng Wang, Steven M. Wise
Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation. J. Comput. Phys. 423 (2020)
Wenbin Chen, Cheng Wang, Shufen Wang, Xiaoming Wang, Steven M. Wise
Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System. J. Sci. Comput. 84 (2) (2020)
Yiran Qian, Cheng Wang, Shenggao Zhou
A Positive and Energy Stable Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard Equations with Steric Interactions. CoRR (2020)
Changjian Xie, Carlos J. García-Cervera, Cheng Wang, Zhennan Zhou, Jingrun Chen
Second-order semi-implicit projection methods for micromagnetics simulations. J. Comput. Phys. 404 (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)
Wenbin Chen, Weijia Li, Zhiwen Luo, Cheng Wang, Xiaoming Wang
A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. CoRR (2019)
Kelong Cheng, Cheng Wang, Steven M. Wise
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation. CoRR (2019)
Changjian Xie, Carlos J. García-Cervera, Cheng Wang, Zhennan Zhou, Jingrun Chen
Second-order semi-implicit projection methods for micromagnetics simulations. 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)
Kelong Cheng, Wenqiang Feng, Cheng Wang, Steven M. Wise
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation. J. Comput. Appl. Math. 362 (2019)
Kelong Cheng, Zhonghua Qiao, Cheng Wang
A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability. J. Sci. Comput. 81 (1) (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)
Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. J. Comput. Phys. X 3 (2019)
Weijia Li, Wenbin Chen, Cheng Wang, Yue Yan, Ruijian He
A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection. J. Sci. Comput. 76 (3) (2018)
Cheng Zhang, Jingfang Huang, Cheng Wang, Xingye Yue
On the Operator Splitting and Integral Equation Preconditioned Deferred Correction Methods for the "Good" Boussinesq Equation. J. Sci. Comput. 75 (2) (2018)
Ying Chen, John S. Lowengrub, Jie Shen, Cheng Wang, Steven M. Wise
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. J. Comput. Phys. 365 (2018)
Wenqiang Feng, Zhen Guan, John S. Lowengrub, Cheng Wang, Steven M. Wise, Ying Chen
A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation and Its Convergence Analysis. J. Sci. Comput. 76 (3) (2018)
Lixiu Dong, Wenqiang Feng, Cheng Wang, Steven M. Wise, Zhengru Zhang
Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation. Comput. Math. Appl. 75 (6) (2018)
Shenggao Zhou, Yu Wang, Xingye Yue, Cheng Wang
A second order numerical scheme for the annealing of metal-intermetallic laminate composite: A ternary reaction system. J. Comput. Phys. 374 (2018)
Amanda E. Diegel, Cheng Wang, Xiaoming Wang, Steven M. Wise
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Numerische Mathematik 137 (3) (2017)
Wenqiang Feng, Abner J. Salgado, Cheng Wang, Steven M. Wise
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. J. Comput. Phys. 334 (2017)
Yuan Liu, Wenbin Chen, Cheng Wang, Steven M. Wise
Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. Numerische Mathematik 135 (3) (2017)
Kelong Cheng, Cheng Wang, Steven M. Wise, Xingye Yue
A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn-Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method. J. Sci. Comput. 69 (3) (2016)
Wenbin Chen, Yuan Liu, Cheng Wang, Steven M. Wise
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. Math. Comput. 85 (301) (2016)
Kelong Cheng, Cheng Wang
Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 54 (5) (2016)
Zhen Guan, Vili Heinonen, John S. Lowengrub, Cheng Wang, Steven M. Wise
An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. J. Comput. Phys. 321 (2016)
Lingdi Wang, Wenbin Chen, Cheng Wang
An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term. J. Comput. Appl. Math. 280 (2015)
Zhen Guan, John S. Lowengrub, Cheng Wang, Steven M. Wise
Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. J. Comput. Phys. 277 (2014)
Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise
A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection. J. Sci. Comput. 59 (3) (2014)
Zhen Guan, Cheng Wang, Steven M. Wise
A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation. Numerische Mathematik 128 (2) (2014)
Arvind Baskaran, Zhengzheng Hu, John S. Lowengrub, Cheng Wang, Steven M. Wise, Peng Zhou
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. J. Comput. Phys. 250 (2013)
Wenbin Chen, Sidafa Conde, Cheng Wang, Xiaoming Wang, Steven M. Wise
A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection. J. Sci. Comput. 52 (3) (2012)
Jie Shen, Cheng Wang, Xiaoming Wang, Steven M. Wise
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. SIAM J. Numer. Anal. 50 (1) (2012)
Steven M. Wise, Cheng Wang, John S. Lowengrub
An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation. SIAM J. Numer. Anal. 47 (3) (2009)
Zhengzheng Hu, Steven M. Wise, Cheng Wang, John S. Lowengrub
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. J. Comput. Phys. 228 (15) (2009)