Numerical solutions for a class of singular integrodifferential equations

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dc.contributor.authorChiang, Shihchungen
dc.contributor.committeechairHerdman, Terry L.en
dc.contributor.committeememberBurns, John A.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberPeterson, Janet S.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:12:03Zen
dc.date.adate2008-06-06en
dc.date.available2014-03-14T21:12:03Zen
dc.date.issued1996-05-05en
dc.date.rdate2008-06-06en
dc.date.sdate2008-06-06en
dc.description.abstractIn this study, we consider numerical schemes for a class of singular integrodifferential equations with a nonatomic difference operator. Our interest in this particular class has been motivated by an application in aeroelasticity. By applying nonconforming finite element methods, we are able to establish convergence for a semi-discrete scheme. We use an ordinary differential equation solver for the semi-discrete scheme and then improve the result by using a fully discretized scheme. We report our numerical findings and comment on the rates of convergence.en
dc.description.degreePh. D.en
dc.format.extentvii, 95 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06062008-151231en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06062008-151231/en
dc.identifier.urihttp://hdl.handle.net/10919/37994en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1996.C453.pdfen
dc.relation.isformatofOCLC# 34996614en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectFinite element methoden
dc.subjectsingular integrodifferential equationen
dc.subjectrate of convergenceen
dc.subject.lccLD5655.V856 1996.C453en
dc.titleNumerical solutions for a class of singular integrodifferential equationsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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