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Approximations for Singular Integral Equations

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dc.contributor.authorHerdman, Darwin T.en
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberBorggaard, Jeffrey T.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:38:14Zen
dc.date.adate1999-07-30en
dc.date.available2014-03-14T21:38:14Zen
dc.date.issued1999-05-12en
dc.date.rdate2000-07-30en
dc.date.sdate1999-06-11en
dc.description.abstractThis work is a numerical study of a class of weakly singular neutral equations. The motivation for this study is an aeroelastic system. Numerical techniques are developed to approximate the singular integral equation component appearing in the complete dynamical model for the elastic motions of a three degree of freedom structure, an airfoil with trailing edge flap, in a two dimensional unsteady flow. The flap can be viewed as an active control surface to dampen vibrations that contribute to flutter. The goal of this work is to provide accurate approximations for weakly singular neutral equations using finite elements as basis functions for the initial function space. Several examples are presented in order to validate the numerical scheme.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-061199-131530en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-061199-131530/en
dc.identifier.urihttp://hdl.handle.net/10919/43206en
dc.publisherVirginia Techen
dc.relation.haspartDTH_Thesis.pdfen
dc.relation.haspartDTH_Newest.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectaeroelasticen
dc.subjectVolterraen
dc.subjectIntegral Equationsen
dc.titleApproximations for Singular Integral Equationsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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