Strong Stability Preserving Explicit Runge--Kutta Methods of Maximal Effective Order

DOI10.1137/120884201zbMath1278.65116arXiv1207.2902OpenAlexW2126193525MaRDI QIDQ2855102

Colin B. Macdonald, David I. Ketcheson, Yiannis Hadjimichael, James H. Verner

Publication date: 24 October 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2902

zbMATH Keywords

monotonicitynumerical experimentsmethod of linestime integrationRunge-Kutta methodshigh-order accuracyeffective order of accuracystarting and stopping methodsstrong stability preserving time discretizationsTVD discretization

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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)

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