{"id":"https://openalex.org/W2092108711","doi":"https://doi.org/10.1137/s0036142998340083","title":"Difference Graphs of Block ADI Method","display_name":"Difference Graphs of Block ADI Method","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2092108711","doi":"https://doi.org/10.1137/s0036142998340083","mag":"2092108711"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142998340083","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142998340083","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5033918541","display_name":"Baolin Zhang","orcid":"https://orcid.org/0000-0002-2238-3351"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhang Bao-Lin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033918541"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.16583955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"38","issue":"3","first_page":"742","last_page":"752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9980000257492065,"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":0.9980000257492065,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7438253164291382},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.7185831665992737},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"Alternating direction implicit method","score":0.476992666721344},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4652493894100189},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3687264025211334},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35642480850219727},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2258073389530182},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.2061309814453125},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15474125742912292},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07744637131690979}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7438253164291382},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.7185831665992737},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.476992666721344},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4652493894100189},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3687264025211334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35642480850219727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2258073389530182},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.2061309814453125},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15474125742912292},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07744637131690979},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142998340083","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142998340083","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W85719053","https://openalex.org/W2041507721","https://openalex.org/W2045433725","https://openalex.org/W2065330829","https://openalex.org/W2076413412","https://openalex.org/W2095036901","https://openalex.org/W2101864692","https://openalex.org/W2113486502","https://openalex.org/W2329104170","https://openalex.org/W4243633165"],"related_works":["https://openalex.org/W2535027620","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W3049700066","https://openalex.org/W2610419505","https://openalex.org/W2203767691","https://openalex.org/W4232617335","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W300394329"],"abstract_inverted_index":{"The":[0,29],"block":[1,34,51,67],"alternating":[2],"direction":[3],"implicit":[4],"(ADI)":[5],"method":[6,36,69],"is":[7,16,46,70],"the":[8,11,19,33,56,66],"parallelization":[9],"of":[10,27,32,62,65],"well-known":[12],"ADI":[13,35,52,68],"method,":[14,53],"which":[15],"suitable":[17],"for":[18],"distributed":[20],"memory":[21],"multiprocessors":[22],"with":[23],"a":[24,43,50,59],"minimal":[25],"cost":[26],"communications.":[28],"difference":[30],"graphs":[31],"are":[37],"introduced":[38],"in":[39],"this":[40],"paper,":[41],"and":[42,54],"general":[44],"procedure":[45],"obtained":[47],"to":[48],"design":[49],"at":[55],"same":[57],"time":[58],"new":[60],"proof":[61],"unconditional":[63],"stability":[64],"given.":[71]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}