The time domain method of moment has been proposed for a long time. The marching-on-in-time solver suffers from late time instability, while the marching-on-in-degree technique can avoid this problem.
This thesis introduces a new temporal basis function and a new Green's function form that improves the computation speed of the marching-on-in-degree technique. This method can be used for the perfect conductor and can also be applied to conductors with loss or dielectric.
As a method of moment solver, this marching-on-in-degree technique must solve a dense matrix equation and it may be time consuming if the objects are very large. Therefore, parallelization and a hybrid method are also proposed to handle large objects.
This thesis will cover all my improvements to the time domain marching-on-in-degree method.
","abstract_html":"<p>The time domain method of moment has been proposed for a long time. The marching-on-in-time solver suffers from late time instability, while the marching-on-in-degree technique can avoid this problem. </p> <p>This thesis introduces a new temporal basis function and a new Green's function form that improves the computation speed of the marching-on-in-degree technique. This method can be used for the perfect conductor and can also be applied to conductors with loss or dielectric.</p> <p>As a method of moment solver, this marching-on-in-degree technique must solve a dense matrix equation and it may be time consuming if the objects are very large. Therefore, parallelization and a hybrid method are also proposed to handle large objects.</p> <p>This thesis will cover all my improvements to the time domain marching-on-in-degree method.</p>","abstract_has_math":false,"creators":["Mei, Zicong"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Electrical Engineering and Computer Science","degree_department":null,"school":null,"contributors":["Tapan K. Sarkar","Magdalena Salazar-Palma"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-05-30T07:00:00Z","date_published":"2014-05-30T07:00:00Z","updated_at":"2026-07-24T04:54:51Z","subjects":["Electromagnetics","Laguerre Transform","Marching-on-in-degree","Method of moment","Numerical Method","Parallel computing","Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://surface.syr.edu/etd/116","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Tapan K. Sarkar","Magdalena Salazar-Palma"]},{"key":"dc:creator","label":"Author","values":["Mei, Zicong"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering and Computer Science"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Electromagnetics","Laguerre Transform","Marching-on-in-degree","Method of moment","Numerical Method","Parallel computing","Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://surface.syr.edu/etd/116"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The time domain method of moment has been proposed for a long time. The marching-on-in-time solver suffers from late time instability, while the marching-on-in-degree technique can avoid this problem.
This thesis introduces a new temporal basis function and a new Green's function form that improves the computation speed of the marching-on-in-degree technique. This method can be used for the perfect conductor and can also be applied to conductors with loss or dielectric.
As a method of moment solver, this marching-on-in-degree technique must solve a dense matrix equation and it may be time consuming if the objects are very large. Therefore, parallelization and a hybrid method are also proposed to handle large objects.
This thesis will cover all my improvements to the time domain marching-on-in-degree method.
"]},{"key":"dc:title","label":"Title","values":["Solving time domain scattering and radiation problems in a marching-on-in-degree technique for method of moment"]}]}],"canonical_facts":{"dc:contributor":["Tapan K. Sarkar","Magdalena Salazar-Palma"],"dc:creator":["Mei, Zicong"],"dc:description.abstract":["The time domain method of moment has been proposed for a long time. The marching-on-in-time solver suffers from late time instability, while the marching-on-in-degree technique can avoid this problem.
This thesis introduces a new temporal basis function and a new Green's function form that improves the computation speed of the marching-on-in-degree technique. This method can be used for the perfect conductor and can also be applied to conductors with loss or dielectric.
As a method of moment solver, this marching-on-in-degree technique must solve a dense matrix equation and it may be time consuming if the objects are very large. Therefore, parallelization and a hybrid method are also proposed to handle large objects.
This thesis will cover all my improvements to the time domain marching-on-in-degree method.
"],"dc:identifier":["https://surface.syr.edu/etd/116"],"dc:subject":["Electromagnetics","Laguerre Transform","Marching-on-in-degree","Method of moment","Numerical Method","Parallel computing","Engineering"],"dc:title":["Solving time domain scattering and radiation problems in a marching-on-in-degree technique for method of moment"],"thesis:degree_discipline":["Electrical Engineering and Computer Science"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T04:54:51Z"}