Numerical Solution of Singular Initial Value Problems

Previous article Next article Numerical Solution of Singular Initial Value ProblemsDavid L. RussellDavid L. Russellhttps://doi.org/10.1137/0707033PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Wolfgang Wasow, Asymptotic expansions for ordinary differential equations, Pure and Applied Mathematics, Vol. XIV, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1965ix+362 MR0203188 0133.35301 Google Scholar[2] Peter Henrici, Discrete variable methods in ordinary differential equations, John Wiley & Sons Inc., New York, 1962xi+407 MR0135729 0112.34901 Google Scholar[3] F. R. Gantmacher, The theory of matrices. Vols. 1, 2, Translated by K. A. Hirsch, Chelsea Publishing Co., New York, 1959Vol. 1, x+374 pp. Vol. 2, ix+276 MR0107649 0085.01001 Google Scholar[4] W. D. Murphy, Numerical analysis of boundary-layer problems in ordinary differential equations, Math. Comp., 21 (1967), 583–596 MR0225496 0189.48702 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Maximizing tree harvesting benefit from forests under insect infestation disturbancesPLOS ONE, Vol. 13, No. 8 | 2 August 2018 Cross Ref The adapted block boundary value methods for singular initial value problemsCalcolo, Vol. 55, No. 2 | 17 May 2018 Cross Ref The effectively hyperbolic Cauchy problemThe Hyperbolic Cauchy Problem | 5 October 2006 Cross Ref Continuation of bicharacteristics for effectively hyperbolic operatorsProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 65, No. 4 | 1 Jan 1989 Cross Ref Singular cauchy problems with a large parameter for systems of non-linear ordinary differential equationsUSSR Computational Mathematics and Mathematical Physics, Vol. 27, No. 2 | 1 Jan 1987 Cross Ref Singular cauchy problems for systems of ordinary differential equationsUSSR Computational Mathematics and Mathematical Physics, Vol. 23, No. 3 | 1 Jan 1983 Cross Ref On the Boundary Value Problem for Systems of Ordinary Differential Equations with a Singularity of the Second KindFrank R. de Hoog and Richard WeissSIAM Journal on Mathematical Analysis, Vol. 11, No. 1 | 17 February 2012AbstractPDF (1508 KB)Solution of stiff boundary value problems by orthogonal collocationInternational Journal for Numerical Methods in Engineering, Vol. 9, No. 3 | 1 Jan 1975 Cross Ref Totally implicity methods for numerical solution of singular initial value problemsSymposium on Ordinary Differential Equations | 22 August 2006 Cross Ref Volume 7, Issue 3| 1970SIAM Journal on Numerical Analysis329-478 History Submitted:06 February 1969Accepted:11 March 1970Published online:14 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0707033Article page range:pp. 399-417ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics