{"id":"https://openalex.org/W2007927737","doi":"https://doi.org/10.1109/isicir.2014.7029501","title":"The limitation for the growth of step of DPTA method","display_name":"The limitation for the growth of step of DPTA method","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2007927737","doi":"https://doi.org/10.1109/isicir.2014.7029501","mag":"2007927737"},"language":"en","primary_location":{"id":"doi:10.1109/isicir.2014.7029501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isicir.2014.7029501","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 International Symposium on Integrated Circuits (ISIC)","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/A5111726884","display_name":"Xiao Wu","orcid":"https://orcid.org/0009-0004-7013-6234"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Xiao Wu","raw_affiliation_strings":["Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057257864","display_name":"Zhou Jin","orcid":"https://orcid.org/0000-0002-0632-9494"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Zhou Jin","raw_affiliation_strings":["Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020944070","display_name":"Dan Niu","orcid":"https://orcid.org/0000-0002-0715-7946"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Dan Niu","raw_affiliation_strings":["Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101466993","display_name":"Yasuaki Inoue","orcid":"https://orcid.org/0009-0002-8947-0633"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuaki Inoue","raw_affiliation_strings":["Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135"],"affiliations":[{"raw_affiliation_string":"Graduate School of Information Production and Systems, Waseda University, Kitakyushu-city","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Graduate School of Information, Production and Systems, Waseda University 2-7 Hibikino, Wakmatsu-ku, Kitakyushu-city, 808-0135","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111726884"],"corresponding_institution_ids":["https://openalex.org/I150744194"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07927778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"588","last_page":"591"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9952999949455261,"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":0.991100013256073,"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/transient","display_name":"Transient (computer programming)","score":0.7073572874069214},{"id":"https://openalex.org/keywords/transient-analysis","display_name":"Transient analysis","score":0.5943270921707153},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5596811771392822},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4310653507709503},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4232345223426819},{"id":"https://openalex.org/keywords/two-step","display_name":"Two step","score":0.4216480851173401},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4019642770290375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.394916296005249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26879316568374634},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2386539876461029},{"id":"https://openalex.org/keywords/transient-response","display_name":"Transient response","score":0.21853986382484436},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10424971580505371},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.08135336637496948}],"concepts":[{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.7073572874069214},{"id":"https://openalex.org/C2989121073","wikidata":"https://www.wikidata.org/wiki/Q1309019","display_name":"Transient analysis","level":3,"score":0.5943270921707153},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5596811771392822},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4310653507709503},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4232345223426819},{"id":"https://openalex.org/C3019136120","wikidata":"https://www.wikidata.org/wiki/Q2462428","display_name":"Two step","level":2,"score":0.4216480851173401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4019642770290375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.394916296005249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26879316568374634},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2386539876461029},{"id":"https://openalex.org/C85761212","wikidata":"https://www.wikidata.org/wiki/Q1974593","display_name":"Transient response","level":2,"score":0.21853986382484436},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10424971580505371},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.08135336637496948},{"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/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/isicir.2014.7029501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isicir.2014.7029501","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 International Symposium on Integrated Circuits (ISIC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1976304129","https://openalex.org/W2042020725","https://openalex.org/W2090963365","https://openalex.org/W2139555156","https://openalex.org/W4299512035","https://openalex.org/W6660606577"],"related_works":["https://openalex.org/W2758798772","https://openalex.org/W2887517211","https://openalex.org/W2016851290","https://openalex.org/W2001630809","https://openalex.org/W1577327694","https://openalex.org/W2377879397","https://openalex.org/W4244925124","https://openalex.org/W2903984874","https://openalex.org/W1977560553","https://openalex.org/W2537731695"],"abstract_inverted_index":{"The":[0,22,53],"damped":[1,62],"pseudo-transient":[2,37,42],"analysis":[3,38,43],"(DPTA)":[4],"method,":[5],"of":[6,79],"step":[7,61,96,109],"1":[8],"up":[9],"to":[10,18,34,49,68,103],"3":[11],"are":[12,16,66,111],"described":[13],"as":[14,84],"they":[15],"applied":[17,67],"a":[19],"nonlinear":[20],"circuit.":[21],"DPTA":[23,70,80],"method":[24],"with":[25],"an":[26],"effective":[27],"implementation":[28],"based":[29],"on":[30],"SPICE3":[31],"is":[32,47,82],"compared":[33],"the":[35,69,76,92,99,108],"pure":[36],"and":[39,46,101],"compound":[40],"element":[41],"(CEPTA)":[44],"methods,":[45],"shown":[48],"be":[50],"more":[51],"efficient.":[52],"first":[54],"order":[55],"multi-step":[56],"linear":[57],"integration":[58],"algorithms,":[59],"k":[60,85,110],"differentiation":[63],"formulas":[64],"(DDF-k),":[65],"method.":[71],"For":[72],"timestep":[73],"\u0394t":[74],"fixed,":[75],"damping":[77],"effect":[78],"methods":[81],"enlarged":[83],"increases.":[86],"In":[87],"this":[88],"paper,":[89],"we":[90],"analyze":[91],"features":[93],"for":[94,107],"different":[95],"k.":[97],"Also":[98],"limitation":[100],"how":[102],"choose":[104],"suitable":[105],"value":[106],"discussed.":[112]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}