Solving Galerkin Approximations to Nonlinear Two-Point Boundary Value Problems by a Globally Convergent Homotopy Method

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dc.contributor.authorWatson, Layne T.en
dc.contributor.authorScott, L. Ridgwayen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:22Zen
dc.date.available2013-06-19T14:36:22Zen
dc.date.issued1986en
dc.description.abstractThe Chow-Yorke algorithm, i.e., a homotopy method that has been proved globally convergent j problems, certain classes of zero finding and nonlinear programming problems, and two-point, boundary based on shooting, finite differences, and spline collocation. The method is numerically stable and has been applied to a wide range of practical engineering problems. Here the Chow-Yorke algorithm is proved globally c Galerkin approximations to nonlinear two-point boundary value problems. Several numerical implement are briefly described, and computational results are presented for a fairly difficult, magnet-hydrodynamic problem. Key words. homotopy method, Chow-Yorke algorithm, globally convergent,, two-point boundary value method, finite element method, nonlinear equationsen
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000034/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000034/01/TR-86-27.pdfen
dc.identifier.trnumberTR-86-27en
dc.identifier.urihttp://hdl.handle.net/10919/19788en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofHistorical Collection(Till Dec 2001)en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleSolving Galerkin Approximations to Nonlinear Two-Point Boundary Value Problems by a Globally Convergent Homotopy Methoden
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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