Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations
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Publication:2138837
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
semilinear parabolic equationsmaximum-principle-preservingconservative Allen-Cahn equationsfixed-point-preservingparametric integrating factor Runge-Kutta method
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)
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