{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/37994"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/37994","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Numerical solutions for a class of singular integrodifferential equations","abstract":"In 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.","abstract_html":"In 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.","abstract_has_math":false,"creators":["Chiang, Shihchung"],"institution":"Virginia Tech","degree_name":"Ph. D.","degree_level":"doctoral","degree_discipline":"Mathematics","degree_department":"Mathematics","school":null,"contributors":[],"advisors":[],"committee_chairs":["Herdman, Terry L."],"committee_members":["Burns, John A.","Hannsgen, Kenneth B.","Cliff, Eugene M.","Peterson, Janet S."],"year":1996,"date_issued":"1996-05-05","date_published":"1996-05-05","updated_at":"2026-07-22T22:20:43Z","subjects":["Finite element method","singular integrodifferential equation","rate of convergence"],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-06062008-151231"],"render_values":[{"text":"etd-06062008-151231","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/37994","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Herdman, Terry L."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Burns, John A.","Hannsgen, Kenneth B.","Cliff, Eugene M.","Peterson, Janet S."]},{"key":"dc:contributor.department","label":"Department","values":["Mathematics"]},{"key":"dc:creator","label":"Author","values":["Chiang, Shihchung"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-03-14T21:12:03Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-14T21:12:03Z","2008-06-06"]},{"key":"dc:date.issued","label":"Date","values":["1996-05-05"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Finite element method","singular integrodifferential equation","rate of convergence"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-06062008-151231"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/37994"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In 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."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["BTD"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Numerical solutions for a class of singular integrodifferential equations"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Herdman, Terry L."],"dc:contributor.committeemember":["Burns, John A.","Hannsgen, Kenneth B.","Cliff, Eugene M.","Peterson, Janet S."],"dc:contributor.department":["Mathematics"],"dc:creator":["Chiang, Shihchung"],"dc:date.accessioned":["2014-03-14T21:12:03Z"],"dc:date.available":["2014-03-14T21:12:03Z","2008-06-06"],"dc:date.issued":["1996-05-05"],"dc:description.abstract":["In 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."],"dc:description.degree":["Ph. D."],"dc:format.medium":["BTD"],"dc:format.mimetype":["application/pdf"],"dc:identifier.other":["etd-06062008-151231"],"dc:identifier.uri":["http://hdl.handle.net/10919/37994"],"dc:language.iso":["en"],"dc:publisher":["Virginia Tech"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:subject":["Finite element method","singular integrodifferential equation","rate of convergence"],"dc:title":["Numerical solutions for a class of singular integrodifferential equations"],"dc:type":["Dissertation"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["doctoral"],"thesis:degree_name":["Ph. D."],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:20:43Z"}