Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations

DOI10.1016/j.cma.2022.114817OpenAlexW4220913090MaRDI QIDQ2138837

Hong Zhang, Songhe Song, Xu Qian, JingYe Yan

Publication date: 12 May 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2022.114817

zbMATH Keywords

semilinear parabolic equationsmaximum-principle-preservingconservative Allen-Cahn equationsfixed-point-preservingparametric integrating factor Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) 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)

Related Items

Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions, A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation, Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation, High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation, Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations, High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation, Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation, Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method, Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation, High-order, large time-stepping integrators for scalar hyperbolic conservation laws

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