{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/72778"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/72778","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Stochastic techniques for computational electromagnetics and signal integrity design optimization","abstract":"As speed and density of electronic systems continue to increase, uncertainties are becoming significant factors in system performance. This thesis provides an overview of stochastic numerical techniques in the context of electronic package modeling for signal integrity analysis. Examples are provided to demonstrate the efficiency and accuracy of the Stochastic Collocation method, and its application in computer system design optimization. A stochastic Finite Element Method electromagnetic solver is also implemented using Stochastic Collocation to study waveguides with geometric uncertainties.","abstract_html":"As speed and density of electronic systems continue to increase, uncertainties are becoming significant factors in system performance. This thesis provides an overview of stochastic numerical techniques in the context of electronic package modeling for signal integrity analysis. Examples are provided to demonstrate the efficiency and accuracy of the Stochastic Collocation method, and its application in computer system design optimization. A stochastic Finite Element Method electromagnetic solver is also implemented using Stochastic Collocation to study waveguides with geometric uncertainties.","abstract_has_math":false,"creators":["Chen, Xu"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Cangellaris, Andreas C.","Schutt-Ainé, José E."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-01-21T19:48:05Z","date_published":"2015-01-21T19:48:05Z","updated_at":"2026-07-22T22:26:07Z","subjects":["signal integrity","stochastic","computational electromagnetics","waveguide","optimization","finite element method","packaging","modeling","simulation","Numerical methods","stochastic collocation","monte carlo","uncertainty quantification","modal signaling"],"languages":["en"],"rights":["Copyright 2014 Xu Chen"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/72778","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Cangellaris, Andreas C.","Schutt-Ainé, José E."]},{"key":"dc:creator","label":"Author","values":["Chen, Xu"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-01-21T19:48:05Z","2014-12","2015-01-21"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["signal integrity","stochastic","computational electromagnetics","waveguide","optimization","finite element method","packaging","modeling","simulation","Numerical methods","stochastic collocation","monte carlo","uncertainty quantification","modal signaling"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2014 Xu Chen"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/72778"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["As speed and density of electronic systems continue to increase, uncertainties are becoming significant factors in system performance. This thesis provides an overview of stochastic numerical techniques in the context of electronic package modeling for signal integrity analysis. Examples are provided to demonstrate the efficiency and accuracy of the Stochastic Collocation method, and its application in computer system design optimization. A stochastic Finite Element Method electromagnetic solver is also implemented using Stochastic Collocation to study waveguides with geometric uncertainties.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2014-12-03T20:24:43Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Chen_Xu.pdf: 3494456 bytes, checksum: 58998182faa14b98321d958b70f7e17d (MD5)","Made available in DSpace on 2015-01-21T19:48:05Z (GMT). No. of bitstreams: 1 Xu_Chen.pdf: 3494456 bytes, checksum: 58998182faa14b98321d958b70f7e17d (MD5)"]},{"key":"dc:title","label":"Title","values":["Stochastic techniques for computational electromagnetics and signal integrity design optimization"]}]}],"canonical_facts":{"dc:contributor":["Cangellaris, Andreas C.","Schutt-Ainé, José E."],"dc:creator":["Chen, Xu"],"dc:date":["2015-01-21T19:48:05Z","2014-12","2015-01-21"],"dc:description":["As speed and density of electronic systems continue to increase, uncertainties are becoming significant factors in system performance. This thesis provides an overview of stochastic numerical techniques in the context of electronic package modeling for signal integrity analysis. Examples are provided to demonstrate the efficiency and accuracy of the Stochastic Collocation method, and its application in computer system design optimization. A stochastic Finite Element Method electromagnetic solver is also implemented using Stochastic Collocation to study waveguides with geometric uncertainties.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2014-12-03T20:24:43Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Chen_Xu.pdf: 3494456 bytes, checksum: 58998182faa14b98321d958b70f7e17d (MD5)","Made available in DSpace on 2015-01-21T19:48:05Z (GMT). No. of bitstreams: 1 Xu_Chen.pdf: 3494456 bytes, checksum: 58998182faa14b98321d958b70f7e17d (MD5)"],"dc:identifier":["http://hdl.handle.net/2142/72778"],"dc:language":["en"],"dc:rights":["Copyright 2014 Xu Chen"],"dc:subject":["signal integrity","stochastic","computational electromagnetics","waveguide","optimization","finite element method","packaging","modeling","simulation","Numerical methods","stochastic collocation","monte carlo","uncertainty quantification","modal signaling"],"dc:title":["Stochastic techniques for computational electromagnetics and signal integrity design optimization"],"dc:type":["text"],"thesis:degree_discipline":["Electrical & Computer Engr"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:07Z"}