{"id":"https://openalex.org/W2138962865","doi":"https://doi.org/10.1109/isqed.2008.4479698","title":"An Efficient Method for Fast Delay and SI Calculation Using Current Source Models","display_name":"An Efficient Method for Fast Delay and SI Calculation Using Current Source Models","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2138962865","doi":"https://doi.org/10.1109/isqed.2008.4479698","mag":"2138962865"},"language":"en","primary_location":{"id":"doi:10.1109/isqed.2008.4479698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isqed.2008.4479698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"9th International Symposium on Quality Electronic Design (isqed 2008)","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/A5100328032","display_name":"Xin Wang","orcid":"https://orcid.org/0000-0002-8885-7695"},"institutions":[{"id":"https://openalex.org/I1335490905","display_name":"Synopsys (Switzerland)","ror":"https://ror.org/03mb54f81","country_code":"CH","type":"company","lineage":["https://openalex.org/I1335490905","https://openalex.org/I4210088951"]},{"id":"https://openalex.org/I4210088951","display_name":"Synopsys (United States)","ror":"https://ror.org/013by2m91","country_code":"US","type":"company","lineage":["https://openalex.org/I4210088951"]}],"countries":["CH","US"],"is_corresponding":true,"raw_author_name":"Xin Wang","raw_affiliation_strings":["Synopsys, Inc., Mountain View, CA, USA","Synopsys Inc. Mountain View"],"affiliations":[{"raw_affiliation_string":"Synopsys, Inc., Mountain View, CA, USA","institution_ids":["https://openalex.org/I4210088951"]},{"raw_affiliation_string":"Synopsys Inc. Mountain View","institution_ids":["https://openalex.org/I1335490905"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109049467","display_name":"A. Kasnavi","orcid":null},"institutions":[{"id":"https://openalex.org/I1335490905","display_name":"Synopsys (Switzerland)","ror":"https://ror.org/03mb54f81","country_code":"CH","type":"company","lineage":["https://openalex.org/I1335490905","https://openalex.org/I4210088951"]},{"id":"https://openalex.org/I4210088951","display_name":"Synopsys (United States)","ror":"https://ror.org/013by2m91","country_code":"US","type":"company","lineage":["https://openalex.org/I4210088951"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"Ali Kasnavi","raw_affiliation_strings":["Synopsys, Inc., Mountain View, CA, USA","Synopsys Inc. Mountain View"],"affiliations":[{"raw_affiliation_string":"Synopsys, Inc., Mountain View, CA, USA","institution_ids":["https://openalex.org/I4210088951"]},{"raw_affiliation_string":"Synopsys Inc. Mountain View","institution_ids":["https://openalex.org/I1335490905"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113682114","display_name":"H.M. Levy","orcid":null},"institutions":[{"id":"https://openalex.org/I1335490905","display_name":"Synopsys (Switzerland)","ror":"https://ror.org/03mb54f81","country_code":"CH","type":"company","lineage":["https://openalex.org/I1335490905","https://openalex.org/I4210088951"]},{"id":"https://openalex.org/I4210088951","display_name":"Synopsys (United States)","ror":"https://ror.org/013by2m91","country_code":"US","type":"company","lineage":["https://openalex.org/I4210088951"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"Harold Levy","raw_affiliation_strings":["Synopsys, Inc., Mountain View, CA, USA","Synopsys Inc. Mountain View"],"affiliations":[{"raw_affiliation_string":"Synopsys, Inc., Mountain View, CA, USA","institution_ids":["https://openalex.org/I4210088951"]},{"raw_affiliation_string":"Synopsys Inc. Mountain View","institution_ids":["https://openalex.org/I1335490905"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100328032"],"corresponding_institution_ids":["https://openalex.org/I1335490905","https://openalex.org/I4210088951"],"apc_list":null,"apc_paid":null,"fwci":1.3318,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82427346,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"57","last_page":"61"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9997000098228455,"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/T10472","display_name":"Semiconductor materials and devices","score":0.9994000196456909,"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/computer-science","display_name":"Computer science","score":0.6398835182189941},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.6394091248512268},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.581839382648468},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.5734409689903259},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5704341530799866},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5573397278785706},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5331097841262817},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.5196296572685242},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4268028438091278},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.41376790404319763},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32884448766708374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22745490074157715},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.16673821210861206},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.13126322627067566},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10684570670127869},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10247421264648438}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6398835182189941},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.6394091248512268},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.581839382648468},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.5734409689903259},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5704341530799866},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5573397278785706},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5331097841262817},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.5196296572685242},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4268028438091278},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.41376790404319763},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32884448766708374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22745490074157715},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.16673821210861206},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.13126322627067566},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10684570670127869},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10247421264648438},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isqed.2008.4479698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isqed.2008.4479698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"9th International Symposium on Quality Electronic Design (isqed 2008)","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":5,"referenced_works":["https://openalex.org/W1542574673","https://openalex.org/W2131751530","https://openalex.org/W2133268384","https://openalex.org/W2163921999","https://openalex.org/W2167124045"],"related_works":["https://openalex.org/W2089955609","https://openalex.org/W2466040413","https://openalex.org/W2189596786","https://openalex.org/W2039299714","https://openalex.org/W4382053489","https://openalex.org/W2378504881","https://openalex.org/W2588313364","https://openalex.org/W4389747076","https://openalex.org/W4308671476","https://openalex.org/W2375749791"],"abstract_inverted_index":{"Current":[0],"source":[1,28,71],"models":[2],"are":[3],"the":[4,22,26,85,115,122,131,136,141,150,157],"methods":[5,154],"of":[6,89,117,125,133,135,140],"choice":[7],"for":[8,62],"gate-level":[9],"delay":[10,63],"and":[11,59,64,76,128,159],"SI":[12],"calculation":[13,68],"in":[14],"Deep":[15],"Sub":[16],"Micron":[17],"regime.":[18],"To":[19],"fully":[20],"utilize":[21],"information":[23],"provided":[24],"by":[25],"current":[27,70],"models,":[29],"numerical":[30],"integration":[31,153],"is":[32,49,114,121,130],"often":[33],"applied":[34],"to":[35,105],"solve":[36],"stage-based":[37],"transient":[38,86],"simulation":[39,87],"that":[40],"calculates":[41],"delay,":[42],"slew,":[43],"or":[44],"noise":[45],"bumps.":[46],"However,":[47],"this":[48,53],"computationally":[50],"expensive.":[51],"In":[52],"paper,":[54],"we":[55],"present":[56],"a":[57,81,90,93,108],"fast":[58],"robust":[60],"algorithm":[61],"signal":[65],"integrity":[66],"(SI)":[67],"using":[69],"models.":[72],"By":[73],"applying":[74],"diagonalization":[75],"Sherman-Morrison":[77],"formula":[78],"together":[79],"with":[80,92,107,149],"one-step":[82],"Newton-Raphson":[83,126],"method,":[84],"cost":[88],"stage":[91],"single":[94],"driver":[95],"can":[96],"be":[97],"reduced":[98],"from":[99],"O(kmn":[100],"<sup":[101],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[102],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[103],")":[104],"O(kn)":[106],"small":[109],"runtime":[110],"overhead,":[111],"where":[112],"k":[113],"number":[116,124],"time":[118],"step,":[119],"m":[120],"average":[123],"steps,":[127],"n":[129],"size":[132],"matrices":[134],"Reduced":[137],"Order":[138],"Model(ROM)":[139],"parasitic":[142],"network.":[143],"The":[144],"proposed":[145],"method":[146],"works":[147],"perfectly":[148],"popular":[151],"implicit":[152],"such":[155],"as":[156],"Trapezoidal":[158],"Backward":[160],"Euler":[161],"method.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}