{"id":"https://openalex.org/W2045433725","doi":"https://doi.org/10.1080/00207169108803972","title":"Alternating block explicit-implicit method for the two-dimensional diffusion equation","display_name":"Alternating block explicit-implicit method for the two-dimensional diffusion equation","publication_year":1991,"publication_date":"1991-01-01","ids":{"openalex":"https://openalex.org/W2045433725","doi":"https://doi.org/10.1080/00207169108803972","mag":"2045433725"},"language":"en","primary_location":{"id":"doi:10.1080/00207169108803972","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169108803972","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5103661016","display_name":"Zhang Bao-lin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhang Bao-Lin","raw_affiliation_strings":["Institute of Applied Physics and Computational Mathematics , P.O. Box 8009, Beijing, The People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics and Computational Mathematics , P.O. Box 8009, Beijing, The People's Republic of China","institution_ids":["https://openalex.org/I4210145278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000174321","display_name":"SU XIU-MIN","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Su Xiu-Min","raw_affiliation_strings":["Institute of Applied Physics and Computational Mathematics , P.O. Box 8009, Beijing, The People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics and Computational Mathematics , P.O. Box 8009, Beijing, The People's Republic of China","institution_ids":["https://openalex.org/I4210145278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103661016"],"corresponding_institution_ids":["https://openalex.org/I4210145278"],"apc_list":null,"apc_paid":null,"fwci":2.0529,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.85487235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"38","issue":"3-4","first_page":"241","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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":0.9987000226974487,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9962999820709229,"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":0.6940110921859741},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"Alternating direction implicit method","score":0.6673896908760071},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6118568181991577},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5465242862701416},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5090227127075195},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4842971861362457},{"id":"https://openalex.org/keywords/explicit-and-implicit-methods","display_name":"Explicit and implicit methods","score":0.4570896327495575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33393263816833496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33283138275146484},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.27298101782798767},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2289954423904419},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.14663472771644592},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13973432779312134},{"id":"https://openalex.org/keywords/exact-differential-equation","display_name":"Exact differential equation","score":0.09042620658874512},{"id":"https://openalex.org/keywords/method-of-characteristics","display_name":"Method of characteristics","score":0.06956619024276733}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6940110921859741},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.6673896908760071},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6118568181991577},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5465242862701416},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5090227127075195},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4842971861362457},{"id":"https://openalex.org/C149393637","wikidata":"https://www.wikidata.org/wiki/Q5421265","display_name":"Explicit and implicit methods","level":5,"score":0.4570896327495575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33393263816833496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33283138275146484},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.27298101782798767},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2289954423904419},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.14663472771644592},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13973432779312134},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.09042620658874512},{"id":"https://openalex.org/C33163149","wikidata":"https://www.wikidata.org/wiki/Q1785085","display_name":"Method of characteristics","level":3,"score":0.06956619024276733},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169108803972","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169108803972","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-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/W2041507721","https://openalex.org/W2095036901","https://openalex.org/W2101864692","https://openalex.org/W2111729051","https://openalex.org/W2113486502","https://openalex.org/W2332142823"],"related_works":["https://openalex.org/W2535027620","https://openalex.org/W3049700066","https://openalex.org/W2610419505","https://openalex.org/W3048970523","https://openalex.org/W2203767691","https://openalex.org/W2053865685","https://openalex.org/W2041877932","https://openalex.org/W2045433725","https://openalex.org/W1951367392","https://openalex.org/W2049571879"],"abstract_inverted_index":{"We":[0],"have":[1],"developed":[2],"the":[3,10,20,30,39,44,47,55,59],"Alternating":[4,60],"Segment":[5],"Explicit-Implicit":[6,62],"(ASE-I)":[7],"method":[8,22,40,56],"for":[9],"one-space":[11],"dimensional":[12,49],"diffusion":[13],"equation":[14],"in":[15,52],"Zhang":[16],"Bao-lin":[17],"[1].":[18],"Mathematically,":[19],"ASE-I":[21],"is":[23,27,41,57],"unconditionally":[24],"stable":[25],"and":[26,51],"good":[28],"from":[29],"view":[31],"point":[32],"of":[33,46],"parallel":[34],"computing.":[35],"In":[36],"this":[37,53],"paper":[38],"extended":[42],"to":[43],"case":[45,54],"two-space":[48],"problem,":[50],"called":[58],"Block":[61],"(ABE-I)":[63],"method.":[64]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
