{"id":"https://openalex.org/W4386242014","doi":"https://doi.org/10.1109/tcad.2023.3309734","title":"On Model Order Reduction and Exponential Integrator for Transient Circuit Simulation","display_name":"On Model Order Reduction and Exponential Integrator for Transient Circuit Simulation","publication_year":2023,"publication_date":"2023-08-29","ids":{"openalex":"https://openalex.org/W4386242014","doi":"https://doi.org/10.1109/tcad.2023.3309734"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2023.3309734","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2023.3309734","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100390525","display_name":"Cong Wang","orcid":"https://orcid.org/0000-0003-1902-2894"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Cong Wang","raw_affiliation_strings":["Department of Microelectronics Thrust, The Hong Kong University of Science and Technology (Guangzhou), Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-1902-2894","affiliations":[{"raw_affiliation_string":"Department of Microelectronics Thrust, The Hong Kong University of Science and Technology (Guangzhou), Guangzhou, China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003947431","display_name":"Dongen Yang","orcid":"https://orcid.org/0000-0001-8571-1087"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Dongen Yang","raw_affiliation_strings":["Department of Microelectronics Thrust, The Hong Kong University of Science and Technology (Guangzhou), Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-8571-1087","affiliations":[{"raw_affiliation_string":"Department of Microelectronics Thrust, The Hong Kong University of Science and Technology (Guangzhou), Guangzhou, China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102549884","display_name":"Jinming Lyu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112475","display_name":"Shenwu Technology Group Corp (China)","ror":"https://ror.org/01ef25a22","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210112475"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinming Lyu","raw_affiliation_strings":["SMiT Group, Fuxin Technology Ltd., Shenjiu Science and Technology Venture, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SMiT Group, Fuxin Technology Ltd., Shenjiu Science and Technology Venture, Shenzhen, China","institution_ids":["https://openalex.org/I4210112475"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102478811","display_name":"Yong Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112475","display_name":"Shenwu Technology Group Corp (China)","ror":"https://ror.org/01ef25a22","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210112475"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Dai","raw_affiliation_strings":["SMiT Group, Fuxin Technology Ltd., Shenjiu Science and Technology Venture, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SMiT Group, Fuxin Technology Ltd., Shenjiu Science and Technology Venture, Shenzhen, China","institution_ids":["https://openalex.org/I4210112475"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054211420","display_name":"Cheng Zhuo","orcid":"https://orcid.org/0000-0002-2610-7522"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Zhuo","raw_affiliation_strings":["School of Micro-Nano Electronics, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2610-7522","affiliations":[{"raw_affiliation_string":"School of Micro-Nano Electronics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084258789","display_name":"Quan Chen","orcid":"https://orcid.org/0000-0001-5174-8762"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quan Chen","raw_affiliation_strings":["School of Microelectronics and the Engineering Research Center of Integrated Circuits for Next-Generation Communications, Ministry of Education, Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-5174-8762","affiliations":[{"raw_affiliation_string":"School of Microelectronics and the Engineering Research Center of Integrated Circuits for Next-Generation Communications, Ministry of Education, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6213,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65241971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"43","issue":"1","first_page":"328","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.8915884494781494},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8735652565956116},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.7367445826530457},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.493462473154068},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.491435170173645},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4904191195964813},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4622262716293335},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4516925811767578},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4393237829208374},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4375714063644409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4001730680465698},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3827937841415405},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3742581009864807},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.3563779592514038},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3430463671684265},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.11291742324829102},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07226875424385071},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07069993019104004},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06846019625663757}],"concepts":[{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.8915884494781494},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8735652565956116},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.7367445826530457},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.493462473154068},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.491435170173645},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4904191195964813},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4622262716293335},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4516925811767578},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4393237829208374},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4375714063644409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4001730680465698},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3827937841415405},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3742581009864807},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.3563779592514038},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3430463671684265},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.11291742324829102},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07226875424385071},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07069993019104004},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06846019625663757},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcad.2023.3309734","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2023.3309734","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-136143","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-136143","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1972192529","display_name":null,"funder_award_id":"61974133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2781527179","display_name":null,"funder_award_id":"62034007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3050408085","display_name":null,"funder_award_id":"62141410","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6937851730","display_name":null,"funder_award_id":"62141404","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W425747987","https://openalex.org/W1989816530","https://openalex.org/W2001015971","https://openalex.org/W2007101284","https://openalex.org/W2028212620","https://openalex.org/W2039167131","https://openalex.org/W2055891331","https://openalex.org/W2057602562","https://openalex.org/W2120516507","https://openalex.org/W2121634787","https://openalex.org/W2122608783","https://openalex.org/W2144506055","https://openalex.org/W2150848828","https://openalex.org/W2565430228","https://openalex.org/W2792413301","https://openalex.org/W2899888220","https://openalex.org/W2963747658","https://openalex.org/W3092368861","https://openalex.org/W3149694916","https://openalex.org/W4235364537","https://openalex.org/W4312121050"],"related_works":["https://openalex.org/W1668795783","https://openalex.org/W2323113259","https://openalex.org/W2765250005","https://openalex.org/W2088424998","https://openalex.org/W2168392479","https://openalex.org/W2011763796","https://openalex.org/W4386242014","https://openalex.org/W1972333976","https://openalex.org/W3160015","https://openalex.org/W2161344224"],"abstract_inverted_index":{"Model":[0],"order":[1,49],"reduction":[2,50],"(MOR)":[3,51],"has":[4],"long":[5],"been":[6],"a":[7,35,74,102,107],"mainstream":[8],"strategy":[9],"to":[10,41,87],"accelerate":[11],"large":[12],"scale":[13],"transient":[14,139],"circuit":[15,140],"simulation.":[16],"Exponential":[17],"integrator":[18,54],"(EI)":[19,55],"based":[20,91],"on":[21,26,92],"Krylov":[22,94],"subspace":[23,95],"approximation":[24],"methods,":[25],"the":[27,44,78,113,119,133,138,158],"other":[28],"hand,":[29],"are":[30,57,143],"more":[31],"recently":[32],"developed":[33],"for":[34],"similar":[36],"goal.":[37],"This":[38],"article":[39],"aims":[40],"examine":[42],"in-depth":[43],"underlying":[45],"relationship":[46],"between":[47],"model":[48],"and":[52,106,129],"exponential":[53],"that":[56,68,152],"commonly":[58],"seen":[59],"as":[60,73],"two":[61],"separate":[62],"methods.":[63],"The":[64,121],"main":[65],"finding":[66],"is":[67,85,123,150],"EI":[69],"can":[70],"be":[71],"viewed":[72],"moment-matching":[75,89],"MOR":[76,90],"in":[77,118,132,137],"time-domain.":[79,120],"Specifically,":[80],"EI,":[81],"under":[82,126],"certain":[83],"conditions,":[84],"equivalent":[86],"performing":[88],"rational":[93],"projection":[96],"at":[97],"each":[98],"time":[99],"step":[100,117],"with":[101],"single":[103],"input":[104],"vector":[105],"selected":[108],"expansion":[109],"point,":[110],"then":[111],"advancing":[112],"reduced":[114],"system":[115],"one":[116],"equivalence":[122],"mathematically":[124],"proved":[125],"different":[127],"settings":[128],"numerically":[130],"verified":[131],"experiments.":[134],"Their":[135],"differences":[136],"analysis":[141],"context":[142],"also":[144],"elaborated":[145],"from":[146],"various":[147],"perspectives.":[148],"It":[149],"hoped":[151],"these":[153],"new":[154],"insights":[155],"would":[156],"benefit":[157],"future":[159],"development":[160],"of":[161],"this":[162],"classical":[163],"EDA":[164],"topic.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}