The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations
type: Item
instance of: scholarly article
title: The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations
zbMATH Open document ID: 1469.35200
author: Zengqiang Tan
author: Cheng-Jian Zhang
published in: Applied Numerical Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 7354423
zbMATH Keywords: Allen-Cahn equations
zbMATH Keywords: finite difference methods
zbMATH Keywords: maximum principle
zbMATH Keywords: energy stability
zbMATH Keywords: error analysis
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.04.010
OpenAlex ID: W3154231965
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cites work: An efficient algorithm for solving the phase field crystal model
cites work: Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
cites work: Phase transitions and generalized motion by mean curvature
cites work: Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
cites work: Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights
cites work: Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
cites work: Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
cites work: Q5449334
cites work: A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
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cites work: A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations
cites work: Q5319772
cites work: Q4620430
DOI: 10.1016/J.APNUM.2021.04.010
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description: scientific article; zbMATH DE number 7354423