{"id":"https://openalex.org/W2166692932","doi":"https://doi.org/10.1109/ecctd.2009.5275033","title":"Improving convergence of algorithms for solving systems of circuit algebraic-differential equations","display_name":"Improving convergence of algorithms for solving systems of circuit algebraic-differential equations","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2166692932","doi":"https://doi.org/10.1109/ecctd.2009.5275033","mag":"2166692932"},"language":"en","primary_location":{"id":"doi:10.1109/ecctd.2009.5275033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2009.5275033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Conference on Circuit Theory and Design","raw_type":"proceedings-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/A5108194588","display_name":"Josef Dobe\u0161","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Josef Dobes","raw_affiliation_strings":["Department of Radio Engineering, Czech Technical University, Praque, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radio Engineering, Czech Technical University, Praque, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066848813","display_name":"Zden\u011bk Kolka","orcid":"https://orcid.org/0000-0002-7034-9430"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Zdenek Kolka","raw_affiliation_strings":["Institute of Radio Electronics, Brno University of Technology, Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Radio Electronics, Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17633989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"476","last_page":"479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9987999796867371,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9987999796867371,"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/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9965999722480774,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9897000193595886,"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/electronic-circuit","display_name":"Electronic circuit","score":0.6807258725166321},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6790012121200562},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6692512631416321},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6101456880569458},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5941240191459656},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5852141380310059},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.5483523011207581},{"id":"https://openalex.org/keywords/network-analysis","display_name":"Network analysis","score":0.5367964506149292},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5139791369438171},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.49322861433029175},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.47143450379371643},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.41514915227890015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29557669162750244},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.1647668480873108},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1550304889678955},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11302149295806885},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07855415344238281}],"concepts":[{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6807258725166321},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6790012121200562},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6692512631416321},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6101456880569458},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5941240191459656},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5852141380310059},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.5483523011207581},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.5367964506149292},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5139791369438171},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.49322861433029175},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.47143450379371643},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.41514915227890015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29557669162750244},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.1647668480873108},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1550304889678955},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11302149295806885},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07855415344238281},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecctd.2009.5275033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2009.5275033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Conference on Circuit Theory and Design","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W45453972","https://openalex.org/W1501443680","https://openalex.org/W2075151302","https://openalex.org/W2078349118","https://openalex.org/W2092938713","https://openalex.org/W2105890319","https://openalex.org/W2106184121"],"related_works":["https://openalex.org/W2023803998","https://openalex.org/W2107705030","https://openalex.org/W2122287774","https://openalex.org/W2278010680","https://openalex.org/W1511803145","https://openalex.org/W2047656848","https://openalex.org/W2903322149","https://openalex.org/W2096208182","https://openalex.org/W2082630724","https://openalex.org/W2026329757"],"abstract_inverted_index":{"Nowadays,":[0],"the":[1,28,35,49,58,76,85,102,113],"majority":[2],"of":[3,13,22,97,108],"circuit":[4],"simulation":[5],"programs":[6],"contain":[7],"advanced":[8],"methods":[9],"for":[10,15,56],"suppressing":[11],"divergence":[12],"algorithms":[14,69],"solving":[16],"algebraic-differential":[17],"equations.":[18],"However,":[19],"some":[20],"classes":[21],"circuits":[23,29,94],"still":[24],"cause":[25],"problems":[26],"-":[27,95],"with":[30,41,60],"strong":[31],"feedback,":[32],"flip-flop":[33],"circuits,":[34],"ones":[36],"characterized":[37],"by":[38],"macro":[39],"models":[40],"unusual":[42],"elements,":[43],"and":[44,106],"large":[45],"distributed":[46],"oscillators.":[47],"In":[48],"paper,":[50],"a":[51,81],"novel":[52],"method":[53,77],"is":[54],"introduced":[55],"improving":[57],"convergence":[59],"four":[61,86],"criteria":[62,87],"that":[63],"are":[64,88],"being":[65],"compared.":[66],"Unlike":[67],"similar":[68],"focused":[70],"on":[71,91],"an":[72],"operating":[73,103],"point":[74,104],"analysis,":[75,105],"also":[78],"works":[79],"in":[80,101],"transient":[82,114],"analysis.":[83,115],"All":[84],"thoroughly":[89],"tested":[90],"eight":[92],"problematic":[93],"six":[96],"them":[98,109],"often":[99],"diverge":[100,111],"two":[107],"sometimes":[110],"during":[112]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}