Two-Step Runge-Kutta Methods and Hyperbolic Partial Differential Equations

DOI10.2307/2008433zbMath0724.65076OpenAlexW4231009103MaRDI QIDQ3212214

Rosemary A. Renaut

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2008433

zbMATH Keywords

method of lineshyperbolic problemsButcher seriesorder conditionsstability regionsemidiscretizationsExplicit two- step Runge-Kutta methodsstability sectors

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) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic systems (35L45)

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