Error Bounds for a Family of Three-Point Integration Procedures

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Previous article Next article Error Bounds for a Family of Three-Point Integration ProceduresT. E. Hull and A. C. R. NewberyT. E. Hull and A. C. R. Newberyhttps://doi.org/10.1137/0107033PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] John W. Carr, III, Error bounds for the Runge-Kutta single-step integration process, J. Assoc. Comput. Mach., 5 (1958), 39–44 MR0094908 0087.32503 CrossrefISIGoogle Scholar[2] Germund Dahlquist, Convergence and stability in the numerical integration of ordinary differential equations, Math. Scand., 4 (1956), 33–53 MR0080998 0071.11803 CrossrefGoogle Scholar[3] F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956x+511 MR0075670 0070.12401 Google Scholar[4] William Edmund Milne, Numerical solution of differential equations, John Wiley & Sons Inc., New York, 1953xii+275 MR0068321 0050.12202 Google Scholar[5] F. John, Advanced Numerical Analysis, Institute of Mathematical Sciences, New York University, 1956 Google Scholar[6] Heinz Rutishauser, Über die Instabilität von Methoden zur Integration gewöhnlicher Differentialgleichungen, Z. Angew. Math. Physik, 3 (1952), 65–74 10.1007/BF02080985 MR0046146 0046.13303 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Corrector Formulas for Multi-Step Integration MethodsT. E. Hull and A. C. R. NewberyJournal of the Society for Industrial and Applied Mathematics, Vol. 10, No. 2 | 13 July 2006AbstractPDF (2082 KB)Integration Procedures Which Minimize Propagated ErrorsT. E. Hull and A. C. R. NewberyJournal of the Society for Industrial and Applied Mathematics, Vol. 9, No. 1 | 10 July 2006AbstractPDF (1671 KB) Volume 7, Issue 4| 1959Journal of the Society for Industrial and Applied Mathematics History Submitted:25 November 1958Published online:10 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0107033Article page range:pp. 402-412ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics