Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation

DOI10.1007/s10915-022-01940-6zbMath1502.65063arXiv2203.04784OpenAlexW4221147579WikidataQ114225540 ScholiaQ114225540MaRDI QIDQ2162330

Zhaohui Fu, Jiang Yang, Tao Tang

Publication date: 5 August 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04784

zbMATH Keywords

maximum principleRunge-Kutta methodsAllen-Cahn equationenergy dissipation law

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation ⋮ Linear and conservative IMEX Runge-Kutta finite difference schemes with provable energy stability for the Cahn-Hilliard model in arbitrary domains ⋮ Energy-decreasing second order exponential time differencing Runge-Kutta methods for nonlocal Cahn-Hilliard equation

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