Strong stability preserving integrating factor two-step Runge-Kutta methods

DOI10.1007/s10915-019-01046-6zbMath1440.65110arXiv1904.07194OpenAlexW2972492005WikidataQ127236425 ScholiaQ127236425MaRDI QIDQ2291871

Sigal Gottlieb, Leah Isherwood, Zachary J. Grant

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1904.07194

zbMATH Keywords

strong stability preservingintegrating factor methodsmulti-step Runge-Kutta methodsLawson-type methodstime stepping for hyperbolic PDEs

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (10)

Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation ⋮ Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations ⋮ Strong stability preserving integrating factor general linear methods ⋮ Strong stability-preserving three-derivative Runge-Kutta methods ⋮ Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation ⋮ Efficient SSP low-storage Runge-Kutta methods ⋮ Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation ⋮ Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation

Uses Software

• Expokit
• Algorithm 919
• phipm
• GitHub
• ImplicitLNLMethods
• imexLNL
• KIOPS
• SSPTSmethods

Cites Work

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• Algorithm 919
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• Expokit
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