A Search for Optimum Methods for the Numerical Integration of Ordinary Differential Equations

Previous article Next article A Search for Optimum Methods for the Numerical Integration of Ordinary Differential EquationsT. E. HullT. E. Hullhttps://doi.org/10.1137/1009106PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] G. Birkhoff, Numerical integration of reactor dynamics equations, Symposium on the Numerical Solution of Nonlinear Differential Equations, Mathematics Research Center, University of Wisconsin, Madison, 1966 0202.45402 Google Scholar[2] Roland Bulirsch and , Josef Stoer, Numerical treatment of ordinary differential equations by extrapolation methods, Numer. Math., 8 (1966), 1–13 10.1007/BF02165234 MR0191095 0135.37901 CrossrefISIGoogle Scholar[3] J. C. Butcher, A modified multistep method for the numerical integration of ordinary differential equations, J. Assoc. Comput. Mach., 12 (1965), 124–135 MR0178573 0125.07102 CrossrefISIGoogle Scholar[4] J. C. Butcher, Implicit Runge-Kutta processes, Math. 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CodySIAM Review, Vol. 16, No. 1 | 18 July 2006AbstractPDF (1494 KB)Comparing Numerical Methods for Ordinary Differential EquationsT. E. Hull, W. H. Enright, B. M. Fellen, and A. E. SedgwickSIAM Journal on Numerical Analysis, Vol. 9, No. 4 | 14 July 2006AbstractPDF (3348 KB)THE PAPERSMathematical Software | 1 Jan 1971 Cross Ref 2 Runge-Kutta and Allied Single-Step MethodsNumerical Solution of Ordinary Differential Equations | 1 Jan 1971 Cross Ref Volume 9, Issue 4| 1967SIAM Review627-777 History Submitted:11 July 1966Published online:18 July 2006 InformationCopyright © 1967 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1009106Article page range:pp. 647-654ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics