Further Explicit Fifth-Order Runge-Kutta Formulas

Abstract

Previous article Next article Further Explicit Fifth-Order Runge-Kutta FormulasH. A. LutherH. A. Lutherhttps://doi.org/10.1137/1008073PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] H. A. Luther and , H. P. Konen, Some fifth-order classical Runge-Kutta formulas, SIAM Rev., 7 (1965), 551–558 10.1137/1007112 MR0184437 0147.13302 LinkISIGoogle Scholar[2] J. C. Butcher, On Runge-Kutta processes of high order, J. Austral. Math. Soc., 4 (1964), 179–194 MR0165692 0244.65046 CrossrefGoogle Scholar[3] J. C. Butcher, Private communication Google Scholar[4] J. C. Butcher, Integration processes based on Radau quadrature formulas, Math. Comp., 18 (1964), 233–244 MR0165693 0123.11702 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Linear hybrid-variable methods for advection equations10 November 2018 | Advances in Computational Mathematics, Vol. 45, No. 2 Cross Ref Stagnation temperature effect on the conical shock with application for airChinese Journal of Aeronautics, Vol. 31, No. 4 Cross Ref Cross Ref A high-order hybrid finite difference–finite volume approach with application to inviscid compressible flow problems: A preliminary studyComputers & Fluids, Vol. 98 Cross Ref Design and Implementation of Runge–Kutta Methods for MAS NMR Lineshape CalculationsJournal of Computational Physics, Vol. 170, No. 1 Cross Ref The Numerical Solution of Ordinary Differential Equations: Initial Value Problems Cross Ref Quadrature and Runge-Kutta formulasApplied Mathematics and Computation, Vol. 2, No. 2 Cross Ref 2 Runge-Kutta and Allied Single-Step Methods Cross Ref On one-step methods utilizing the second derivativeHiroshima Mathematical Journal, Vol. 1, No. 2 Cross Ref On the optimal choice of fourth-order Runge-Kutta formulasNumerische Mathematik, Vol. 15, No. 4 Cross Ref An explicit sixth-order Runge-Kutta formula1 January 1968 | Mathematics of Computation, Vol. 22, No. 102 Cross Ref Some Singular Explicit Fifth Order Runge-Kutta Solutions14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 4, No. 4AbstractPDF (955 KB) Volume 8, Issue 3| 1966SIAM Review History Submitted:08 November 1965Accepted:18 March 1966Published online:18 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1008073Article page range:pp. 374-380ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics