{"id":"https://openalex.org/W2121634787","doi":"https://doi.org/10.1109/tcad.2012.2184761","title":"A Practical Regularization Technique for Modified Nodal Analysis in Large-Scale Time-Domain Circuit Simulation","display_name":"A Practical Regularization Technique for Modified Nodal Analysis in Large-Scale Time-Domain Circuit Simulation","publication_year":2012,"publication_date":"2012-06-14","ids":{"openalex":"https://openalex.org/W2121634787","doi":"https://doi.org/10.1109/tcad.2012.2184761","mag":"2121634787"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2012.2184761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2184761","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/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. Eng., Univ. of Hong Kong, Pokfulam, China#TAB#"],"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. Eng., Univ. of Hong Kong, Pokfulam, China#TAB#","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","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, CA, USA","Dept. of Comput. Sci. & Eng., Univ. of California San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Comput. Sci. & Eng., Univ. of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"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, CA, USA","Dept. of Comput. Sci. & Eng., Univ. of California San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Comput. Sci. & Eng., Univ. of California 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":3.683,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.93609925,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"31","issue":"7","first_page":"1031","last_page":"1040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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":0.9994999766349792,"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/T10262","display_name":"Microwave Engineering and Waveguides","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/modified-nodal-analysis","display_name":"Modified nodal analysis","score":0.6795937418937683},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.657272458076477},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5944061875343323},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.564246416091919},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5594677329063416},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5233646631240845},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5104824304580688},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.45350244641304016},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.4453054964542389},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.443346232175827},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4353181719779968},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43291378021240234},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4176611304283142},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.39055460691452026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3016785979270935},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13719713687896729},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.10153371095657349}],"concepts":[{"id":"https://openalex.org/C60643732","wikidata":"https://www.wikidata.org/wiki/Q6889414","display_name":"Modified nodal analysis","level":3,"score":0.6795937418937683},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.657272458076477},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5944061875343323},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.564246416091919},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5594677329063416},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5233646631240845},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5104824304580688},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.45350244641304016},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.4453054964542389},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.443346232175827},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4353181719779968},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43291378021240234},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4176611304283142},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.39055460691452026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3016785979270935},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13719713687896729},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.10153371095657349},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C83330619","wikidata":"https://www.wikidata.org/wiki/Q21124872","display_name":"NODAL","level":2,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcad.2012.2184761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2184761","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:10722/174230","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/174230","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W118708966","https://openalex.org/W152439141","https://openalex.org/W158537840","https://openalex.org/W1548102932","https://openalex.org/W2027054828","https://openalex.org/W2030160262","https://openalex.org/W2033403114","https://openalex.org/W2055891331","https://openalex.org/W2056210041","https://openalex.org/W2097199618","https://openalex.org/W2114804885","https://openalex.org/W2135469667","https://openalex.org/W2148619132","https://openalex.org/W2163490587","https://openalex.org/W2163859299","https://openalex.org/W2170746497","https://openalex.org/W4236747027","https://openalex.org/W4240959780","https://openalex.org/W4256694484","https://openalex.org/W4285719527","https://openalex.org/W6606198488","https://openalex.org/W6606500812","https://openalex.org/W6674639473"],"related_works":["https://openalex.org/W3198942245","https://openalex.org/W1981379995","https://openalex.org/W2606926094","https://openalex.org/W2086671596","https://openalex.org/W2364921833","https://openalex.org/W576870270","https://openalex.org/W2365066481","https://openalex.org/W2949738430","https://openalex.org/W2214144162","https://openalex.org/W2921966893"],"abstract_inverted_index":{"Fast":[0],"full-chip":[1],"time-domain":[2],"simulation":[3],"calls":[4],"for":[5,45],"advanced":[6],"numerical":[7],"integration":[8],"techniques":[9],"with":[10,16,41,130],"capability":[11],"to":[12,34,72,90,99,111,120,145],"handle":[13,146],"the":[14,24,74,92,96],"systems":[15],"(tens":[17],"of)":[18],"millions":[19],"of":[20,48,79,95],"variables":[21,114],"resulting":[22],"from":[23],"modified":[25],"nodal":[26],"analysis":[27],"(MNA).":[28],"General":[29],"MNA":[30,77,97],"formulation,":[31],"however,":[32],"leads":[33,119],"a":[35,68,108,121],"differential":[36],"algebraic":[37],"equation":[38,98],"(DAE)":[39],"system":[40,103],"singular":[42],"coefficient":[43],"matrix,":[44],"which":[46,51,118],"most":[47],"explicit":[49],"methods,":[50,58],"usually":[52],"offer":[53],"better":[54],"scalability":[55],"than":[56],"implicit":[57],"are":[59],"not":[60],"readily":[61],"available.":[62],"In":[63],"this":[64],"paper,":[65],"we":[66],"develop":[67],"practical":[69],"two-stage":[70],"strategy":[71],"remove":[73],"singularity":[75],"in":[76,115],"equations":[78],"large-scale":[80],"circuit":[81],"networks.":[82],"A":[83],"topological":[84],"index":[85,94],"reduction":[86],"is":[87,104,128,141],"first":[88],"applied":[89],"reduce":[91],"DAE":[93],"one.":[100],"The":[101,124],"index-1":[102],"then":[105],"fed":[106],"into":[107],"systematic":[109],"process":[110,127],"eliminate":[112],"excess":[113],"one":[116],"run,":[117],"nonsingular":[122],"system.":[123],"whole":[125],"regularization":[126],"devised":[129],"emphasis":[131],"on":[132],"exact":[133],"equivalence,":[134],"low":[135],"complexity,":[136],"and":[137,140],"sparsity":[138],"preservation,":[139],"thus":[142],"well":[143],"suited":[144],"extremely":[147],"large":[148],"circuits.":[149]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2016-06-24T00:00:00"}