{"id":"https://openalex.org/W2055891331","doi":"https://doi.org/10.1109/tcad.2012.2189396","title":"Time-Domain Analysis of Large-Scale Circuits by Matrix Exponential Method With Adaptive Control","display_name":"Time-Domain Analysis of Large-Scale Circuits by Matrix Exponential Method With Adaptive Control","publication_year":2012,"publication_date":"2012-07-13","ids":{"openalex":"https://openalex.org/W2055891331","doi":"https://doi.org/10.1109/tcad.2012.2189396","mag":"2055891331"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2012.2189396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2189396","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/A5110262864","display_name":"Shih-Hung Weng","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shih-Hung Weng","raw_affiliation_strings":["Department of Computer Science and Engineering, University of California, San Diego, La Jolla, CA, USA","Dept. of Comput. Sci. & Eng., Univ. of California at San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Comput. Sci. & Eng., Univ. of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101456204","display_name":"Quan Chen","orcid":"https://orcid.org/0000-0002-4788-6414"},"institutions":[{"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":"Quan Chen","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Hong Kong, Pokfulam, Hong Kong, China","Dept. of Electr. & Electron. Engg, Univ. of Hong Kong, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Hong Kong, Pokfulam, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Engg, Univ. of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039615312","display_name":"Chung\u2010Kuan Cheng","orcid":"https://orcid.org/0000-0002-9865-8390"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chung-Kuan Cheng","raw_affiliation_strings":["Department of Computer Science and Engineering, University of California, San Diego, La Jolla, CA, USA","Dept. of Comput. Sci. & Eng., Univ. of California at San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Comput. Sci. & Eng., Univ. of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.9012,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.98325991,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"31","issue":"8","first_page":"1180","last_page":"1193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8614903092384338},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.750917911529541},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.5692157745361328},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5206667184829712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5146637558937073},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5082444548606873},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5029987692832947},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.46742483973503113},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4522760510444641},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3959490954875946},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3570375442504883},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.33439499139785767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20872732996940613},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.1803639829158783}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8614903092384338},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.750917911529541},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.5692157745361328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5206667184829712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5146637558937073},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5082444548606873},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5029987692832947},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.46742483973503113},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4522760510444641},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3959490954875946},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3570375442504883},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.33439499139785767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20872732996940613},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.1803639829158783},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcad.2012.2189396","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2189396","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:hub.hku.hk:10722/174231","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/174231","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W275797818","https://openalex.org/W1506342804","https://openalex.org/W1520511539","https://openalex.org/W1548102932","https://openalex.org/W1984347942","https://openalex.org/W2023314226","https://openalex.org/W2028212620","https://openalex.org/W2030160262","https://openalex.org/W2033403114","https://openalex.org/W2036597275","https://openalex.org/W2056210041","https://openalex.org/W2057602562","https://openalex.org/W2081044860","https://openalex.org/W2086987027","https://openalex.org/W2094884329","https://openalex.org/W2106565812","https://openalex.org/W2107904582","https://openalex.org/W2109132798","https://openalex.org/W2114804885","https://openalex.org/W2120516507","https://openalex.org/W2121634787","https://openalex.org/W2130462132","https://openalex.org/W2135469667","https://openalex.org/W2139030761","https://openalex.org/W2145458943","https://openalex.org/W2159344399","https://openalex.org/W2169446136","https://openalex.org/W2170746497","https://openalex.org/W3149282473","https://openalex.org/W4231552077","https://openalex.org/W4236878882","https://openalex.org/W4256694484","https://openalex.org/W6678266637"],"related_works":["https://openalex.org/W2057602562","https://openalex.org/W3092940210","https://openalex.org/W2579491074","https://openalex.org/W4385412016","https://openalex.org/W2914732036","https://openalex.org/W2050406542","https://openalex.org/W2989687840","https://openalex.org/W1976954713","https://openalex.org/W2152958124","https://openalex.org/W1972221693"],"abstract_inverted_index":{"We":[0,48,62],"propose":[1],"an":[2],"explicit":[3],"numerical":[4],"integration":[5],"method":[6,95],"based":[7],"on":[8],"matrix":[9,45,59,71],"exponential":[10,46,60,72],"operator":[11],"for":[12,69],"transient":[13],"analysis":[14],"of":[15,26,58,83,92],"large-scale":[16],"circuits.":[17],"Solving":[18],"the":[19,23,33,40,44,55,70,77,81,90,93,98],"differential":[20],"equation":[21],"analytically,":[22],"limiting":[24],"factor":[25],"maximum":[27],"time":[28],"step":[29,78],"changes":[30],"largely":[31],"from":[32],"stability":[34],"and":[35,80],"Taylor":[36],"truncation":[37],"error":[38,41],"to":[39,53,74],"in":[42],"computing":[43],"operator.":[47,61],"utilize":[49],"Krylov":[50,84],"subspace":[51,85],"projection":[52],"reduce":[54],"computation":[56],"complexity":[57],"also":[63],"devise":[64],"a":[65],"prediction-correction":[66],"scheme":[67],"tailored":[68],"approach":[73],"dynamically":[75],"adjust":[76],"size":[79],"order":[82],"approximation.":[86],"Numerical":[87],"experiments":[88],"show":[89],"advantages":[91],"proposed":[94],"compared":[96],"with":[97],"implicit":[99],"trapezoidal":[100],"method.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}