Numerical Solution of Two-Point Boundary Value Problems on Total Differential Equations

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Previous article Next article Numerical Solution of Two-Point Boundary Value Problems on Total Differential EquationsDavid GlasserDavid Glasserhttps://doi.org/10.1137/0706054PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Henry J. Kelley, G. Leitman, Method of gradientsOptimization techniques, Academic Press, New York, 1962, 205–254, Chap. 6. MR0162671 CrossrefGoogle Scholar[2] L. Fox, Numerical solution of ordinary and partial differential equations., Based on a Summer School held in Oxford, August-September 1961, Pergamon Press, Oxford, 1962ix+509 MR0146969 0101.09904 Google Scholar[3] Lothar Collatz, Functional analysis and numerical mathematics, Translated from the German by Hansjörg Oser, Academic Press, New York, 1966xx+473 MR0205126 0148.39002 Google Scholar[4] E. S. Lee, Quasi-linearization, non-linear boundary value problems and optimization, Chem. Eng. 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J., 10 (1964), 309–315 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A Continuation Method for Nonlinear RegressionNoël de Villiers and David GlasserSIAM Journal on Numerical Analysis, Vol. 18, No. 6 | 17 July 2006AbstractPDF (1889 KB)Numerical solution of nonlinear equations by one-parameter imbedding methodsNumerical Functional Analysis and Optimization, Vol. 3, No. 2 | 26 June 2007 Cross Ref Suboptimal control of systems with multiple delaysJournal of Optimization Theory and Applications, Vol. 30, No. 4 | 1 Apr 1980 Cross Ref Solution of nonlinear boundary value problems—XIChemical Engineering Science, Vol. 34, No. 5 | 1 Jan 1979 Cross Ref One-parameter imbedding techniques for the solution of nonlinear boundary-value problemsApplied Mathematics and Computation, Vol. 4, No. 4 | 1 Oct 1978 Cross Ref Optimal control of nonlinear power systems by an imbedding methodAutomatica, Vol. 11, No. 6 | 1 Nov 1975 Cross Ref NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS: SURVEY AND SOME RECENT RESULTS ON DIFFERENCE METHODSNumerical Solutions of Boundary Value Problems for Ordinary Differential Equations | 1 Jan 1975 Cross Ref On the optimal control solution of nonlinear power systemsIFAC Proceedings Volumes, Vol. 7, No. 2 | 1 Oct 1974 Cross Ref Generalized Quasi-Einearization MethodAIAA Journal, Vol. 12, No. 9 | 1 Sep 1974 Cross Ref Parameter variation for the solution of two-point boundary-value problems and applications in the calculus of variationsJournal of Optimization Theory and Applications, Vol. 13, No. 2 | 1 Feb 1974 Cross Ref Extension of a perturbation technique for nonlinear two-point boundary-value problemsJournal of Optimization Theory and Applications, Vol. 12, No. 5 | 3 August 2013 Cross Ref An indirect trajectory optimization algorithm based on the continuation method for solution of nonlinear equationsGuidance and Control Conference | 16 August 1973 Cross Ref The epsilon variation method in two-point boundary-value problemsJournal of Optimization Theory and Applications, Vol. 12, No. 2 | 3 August 2013 Cross Ref Numerical Solutions by the Continuation MethodE. WasserstromSIAM Review, Vol. 15, No. 1 | 18 July 2006AbstractPDF (2435 KB)A manifold imbedding algorithm for optimization problemsAutomatica, Vol. 8, No. 5 | 1 Sep 1972 Cross Ref On the imbedding solution of a class of optimal control problemsAutomatica, Vol. 8, No. 5 | 1 Sep 1972 Cross Ref A Manifold Imbedding Algorithm for Optimization ProblemsIFAC Proceedings Volumes, Vol. 5, No. 1 | 1 Jun 1972 Cross Ref Solving Boundary-Value Problems by ImbeddingJournal of the ACM, Vol. 18, No. 4 | 1 Oct 1971 Cross Ref Volume 6, Issue 4| 1969SIAM Journal on Numerical Analysis523-616 History Submitted:02 July 1968Published online:14 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0706054Article page range:pp. 591-597ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics