Cheng Wang

Orcid: 0000-0003-4220-8080

Affiliations:
  • University of Massachusetts, Department of Mathematics, North Dartmouth, MA, USA


According to our database1, Cheng Wang authored at least 80 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations.
J. Comput. Appl. Math., January, 2024

Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system.
J. Comput. Appl. Math., 2024

A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition.
CoRR, 2024

Global-in-time energy stability analysis for the exponential time differencing Runge-Kutta scheme for the phase field crystal equation.
CoRR, 2024

A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis.
CoRR, 2024

A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation.
CoRR, 2024

Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential.
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

Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential.
Math. Comput., 2023

IMEX-RK methods for Landau-Lifshitz equation with arbitrary damping.
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

A Positivity Preserving, Energy Stable Finite Difference Scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes System.
J. Sci. Comput., 2022

A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters.
J. Comput. Phys., 2022

High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow.
J. Comput. Appl. Math., 2022

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

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., 2022

Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation.
CoRR, 2022

Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation.
CoRR, 2022

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

Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations.
CoRR, 2022

Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson-Nernst-Planck Equations.
CoRR, 2022

2021
Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model.
SIAM J. Sci. Comput., 2021

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

Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hilliard equation.
Math. Comput., 2021

An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels.
J. Sci. Comput., 2021

A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions.
J. Comput. Phys., 2021

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

A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters.
J. Comput. Phys., 2021

An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation.
J. Comput. Appl. Math., 2021

Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters.
CoRR, 2021

Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system.
CoRR, 2021

A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system.
CoRR, 2021

2020
Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System.
J. Sci. Comput., 2020

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., 2020

Second-order semi-implicit projection methods for micromagnetics simulations.
J. Comput. Phys., 2020

A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis.
J. Comput. Phys., 2020

Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection.
J. Comput. Appl. Math., 2020

A decoupled scheme with second-order temporal accuracy for magnetohydrodynamic equations.
CoRR, 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

A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters.
CoRR, 2020

2019
A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability.
J. Sci. Comput., 2019

Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential.
J. Comput. Phys. X, 2019

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

An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation.
J. Comput. Appl. Math., 2019

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

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection.
CoRR, 2019

An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation.
CoRR, 2019

2018
On the Operator Splitting and Integral Equation Preconditioned Deferred Correction Methods for the "Good" Boussinesq Equation.
J. Sci. Comput., 2018

A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection.
J. Sci. Comput., 2018

A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation and Its Convergence Analysis.
J. Sci. Comput., 2018

A second order numerical scheme for the annealing of metal-intermetallic laminate composite: A ternary reaction system.
J. Comput. Phys., 2018

Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization.
J. Comput. Phys., 2018

Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation.
Comput. Math. Appl., 2018

2017
Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system.
Numerische Mathematik, 2017

Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system.
Numerische Mathematik, 2017

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms.
J. Comput. Phys., 2017

2016
Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier-Stokes Equations.
SIAM J. Numer. Anal., 2016

Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation.
Math. Comput., 2016

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., 2016

An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations.
J. Comput. Phys., 2016

2015
Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis.
J. Sci. Comput., 2015

An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term.
J. Comput. Appl. Math., 2015

2014
A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation.
Numerische Mathematik, 2014

A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier-Stokes Equations.
J. Sci. Comput., 2014

A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection.
J. Sci. Comput., 2014

Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations.
J. Comput. Phys., 2014

2013
Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation.
SIAM J. Numer. Anal., 2013

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation.
J. Comput. Phys., 2013

2012
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy.
SIAM J. Numer. Anal., 2012

Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier-Stokes Equations.
SIAM J. Numer. Anal., 2012

Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers' Equation.
J. Sci. Comput., 2012

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection.
J. Sci. Comput., 2012

2011
An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation.
SIAM J. Numer. Anal., 2011

2009
An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation.
SIAM J. Numer. Anal., 2009

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation.
J. Comput. Phys., 2009

2004
Analysis of a fourth order finite difference method for the incompressible Boussinesq equations.
Numerische Mathematik, 2004

2003
A Fourth Order Scheme for Incompressible Boussinesq Equations.
J. Sci. Comput., 2003

2002
Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation.
Numerische Mathematik, 2002


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