{"id":{"repo_id":"duquesne","oai_identifier":"oai:dsc.duq.edu:etd-2134"},"canonical_url":"https://search.dev.ndltd.org/etd/duquesne/oai:dsc.duq.edu:etd-2134","repository":{"repo_id":"duquesne","name":"Duquesne","base_url":"https://dsc.duq.edu/do/oai/"},"display":{"title":"The Adaptive Cross Approximation Algorithm Applied to Electromagnetic Scattering by Bodies of Revolution","abstract":"Finding solutions to Maxwell's Equations is the key to modeling all electromagnetic phenomenon. One approach to solving Maxwell's Equations is to use an integral equation approach. The integral equations can then be solved numerically by approaches like the method of moments or the Nystrom method. These approaches yield a dense system of linear equations. The coefficient matrix must be computed and stored, which requires a great deal of computational resources. The adaptive cross approximation (ACA) algorithm is a method which can be used to efficiently compute and store these matricies. This thesis will apply the ACA to a special class of problems known as scattering by bodies of revolution. A brief introduction to Maxwell's Equations and integral equations will be provided, as will discussion on the ACA algorithm along with numerical results.","abstract_html":"Finding solutions to Maxwell's Equations is the key to modeling all electromagnetic phenomenon. One approach to solving Maxwell's Equations is to use an integral equation approach. The integral equations can then be solved numerically by approaches like the method of moments or the Nystrom method. These approaches yield a dense system of linear equations. The coefficient matrix must be computed and stored, which requires a great deal of computational resources. The adaptive cross approximation (ACA) algorithm is a method which can be used to efficiently compute and store these matricies. This thesis will apply the ACA to a special class of problems known as scattering by bodies of revolution. A brief introduction to Maxwell's Equations and integral equations will be provided, as will discussion on the ACA algorithm along with numerical results.","abstract_has_math":false,"creators":["Rogus, Brent D."],"institution":null,"degree_name":"MS","degree_level":"Immediate Access","degree_discipline":"Computational Mathematics","degree_department":null,"school":null,"contributors":["John Fleming","Carl Toews"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2008,"date_issued":"2008-01-01T08:00:00Z","date_published":"2008-01-01T08:00:00Z","updated_at":"2026-07-24T02:10:22Z","subjects":["adaptive cross approximation algorithm (ACA)","locally corrected Nystrom method","electromagnetic scattering","body of revolution (BOR)"],"languages":["English"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dsc.duq.edu/etd/1118","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["John Fleming","Carl Toews"]},{"key":"dc:creator","label":"Author","values":["Rogus, Brent D."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2018-08-03T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Computational Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Immediate Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["adaptive cross approximation algorithm (ACA)","locally corrected Nystrom method","electromagnetic scattering","body of revolution (BOR)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dsc.duq.edu/etd/1118"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Finding solutions to Maxwell's Equations is the key to modeling all electromagnetic phenomenon. One approach to solving Maxwell's Equations is to use an integral equation approach. The integral equations can then be solved numerically by approaches like the method of moments or the Nystrom method. These approaches yield a dense system of linear equations. The coefficient matrix must be computed and stored, which requires a great deal of computational resources. The adaptive cross approximation (ACA) algorithm is a method which can be used to efficiently compute and store these matricies. This thesis will apply the ACA to a special class of problems known as scattering by bodies of revolution. A brief introduction to Maxwell's Equations and integral equations will be provided, as will discussion on the ACA algorithm along with numerical results."]},{"key":"dc:title","label":"Title","values":["The Adaptive Cross Approximation Algorithm Applied to Electromagnetic Scattering by Bodies of Revolution"]}]}],"canonical_facts":{"dc:contributor":["John Fleming","Carl Toews"],"dc:creator":["Rogus, Brent D."],"dc:date.available":["2018-08-03T07:00:00Z"],"dc:description.abstract":["Finding solutions to Maxwell's Equations is the key to modeling all electromagnetic phenomenon. One approach to solving Maxwell's Equations is to use an integral equation approach. The integral equations can then be solved numerically by approaches like the method of moments or the Nystrom method. These approaches yield a dense system of linear equations. The coefficient matrix must be computed and stored, which requires a great deal of computational resources. The adaptive cross approximation (ACA) algorithm is a method which can be used to efficiently compute and store these matricies. This thesis will apply the ACA to a special class of problems known as scattering by bodies of revolution. A brief introduction to Maxwell's Equations and integral equations will be provided, as will discussion on the ACA algorithm along with numerical results."],"dc:identifier":["https://dsc.duq.edu/etd/1118"],"dc:language":["English"],"dc:subject":["adaptive cross approximation algorithm (ACA)","locally corrected Nystrom method","electromagnetic scattering","body of revolution (BOR)"],"dc:title":["The Adaptive Cross Approximation Algorithm Applied to Electromagnetic Scattering by Bodies of Revolution"],"thesis:degree_discipline":["Computational Mathematics"],"thesis:degree_level":["Immediate Access"],"thesis:degree_name":["MS"]},"updated_at":"2026-07-24T02:10:22Z"}