{"id":"https://openalex.org/W4389265422","doi":"https://doi.org/10.1007/s40314-023-02514-4","title":"An efficient red\u2013black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation","display_name":"An efficient red\u2013black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation","publication_year":2023,"publication_date":"2023-12-02","ids":{"openalex":"https://openalex.org/W4389265422","doi":"https://doi.org/10.1007/s40314-023-02514-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-023-02514-4","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s40314-023-02514-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied 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/A5101667089","display_name":"Yuan Xu","orcid":"https://orcid.org/0000-0001-9228-3818"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":true,"raw_author_name":"Yuan Xu","raw_affiliation_strings":["Department of Mathematics, University of Macau, Macao, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Macau, Macao, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081835480","display_name":"Siu\u2010Long Lei","orcid":"https://orcid.org/0009-0009-1605-4314"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Siu-Long Lei","raw_affiliation_strings":["Department of Mathematics, University of Macau, Macao, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Macau, Macao, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101501154","display_name":"Hai\u2010Wei Sun","orcid":"https://orcid.org/0000-0002-5507-6083"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Hai-Wei Sun","raw_affiliation_strings":["Department of Mathematics, University of Macau, Macao, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Macau, Macao, China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101667089"],"corresponding_institution_ids":["https://openalex.org/I204512498"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18205872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"1","first_page":null,"last_page":null},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980000257492065,"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/extrapolation","display_name":"Extrapolation","score":0.8751332759857178},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.683364987373352},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.675133228302002},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6607064008712769},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6331413984298706},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.609268307685852},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5771813988685608},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5728427171707153},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5438710451126099},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4963837265968323},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4907923638820648},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.48632368445396423},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4139673113822937},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4114355444908142},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3913303017616272},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.388930082321167},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3593371510505676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32969725131988525},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11353477835655212},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08941012620925903}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.8751332759857178},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.683364987373352},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.675133228302002},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6607064008712769},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6331413984298706},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.609268307685852},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5771813988685608},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5728427171707153},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5438710451126099},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4963837265968323},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4907923638820648},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.48632368445396423},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4139673113822937},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4114355444908142},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3913303017616272},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.388930082321167},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3593371510505676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32969725131988525},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11353477835655212},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08941012620925903},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-023-02514-4","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s40314-023-02514-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2313130190","display_name":null,"funder_award_id":"0122/2020/A3","funder_id":"https://openalex.org/F4320323893","funder_display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia"},{"id":"https://openalex.org/G4250760348","display_name":null,"funder_award_id":"MYRG2022-00262-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G5209926897","display_name":null,"funder_award_id":"MYRG-GRG2023-00181-FST-UMDF","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G5897106604","display_name":null,"funder_award_id":"MYRG2020-00208-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"}],"funders":[{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"},{"id":"https://openalex.org/F4320323893","display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia","ror":"https://ror.org/05vna4324"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1506342804","https://openalex.org/W1629991045","https://openalex.org/W1860844416","https://openalex.org/W1943318998","https://openalex.org/W1971920652","https://openalex.org/W1992542433","https://openalex.org/W2001693767","https://openalex.org/W2011283440","https://openalex.org/W2030088637","https://openalex.org/W2033948098","https://openalex.org/W2041113042","https://openalex.org/W2050157219","https://openalex.org/W2055888560","https://openalex.org/W2058940783","https://openalex.org/W2070145356","https://openalex.org/W2088953608","https://openalex.org/W2126722676","https://openalex.org/W2129091867","https://openalex.org/W2159976235","https://openalex.org/W2907535321","https://openalex.org/W2997095758","https://openalex.org/W3209032409","https://openalex.org/W3212585891","https://openalex.org/W4229028574","https://openalex.org/W4236960299","https://openalex.org/W4280626118","https://openalex.org/W4292414061","https://openalex.org/W4313517917"],"related_works":["https://openalex.org/W2356816331","https://openalex.org/W2307054062","https://openalex.org/W2344267562","https://openalex.org/W1632720046","https://openalex.org/W2042128780","https://openalex.org/W2054004413","https://openalex.org/W2041113042","https://openalex.org/W2330640442","https://openalex.org/W1975234065","https://openalex.org/W2977891263"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}