{"id":"https://openalex.org/W4415027847","doi":"https://doi.org/10.1515/cmam-2024-0155","title":"Error Analysis of BDF2 Scheme for the Boussinesq System Based on Exponential Scalar Auxiliary Variable","display_name":"Error Analysis of BDF2 Scheme for the Boussinesq System Based on Exponential Scalar Auxiliary Variable","publication_year":2025,"publication_date":"2025-10-10","ids":{"openalex":"https://openalex.org/W4415027847","doi":"https://doi.org/10.1515/cmam-2024-0155"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2024-0155","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2024-0155","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in 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/A5100334085","display_name":"Huanhuan Li","orcid":"https://orcid.org/0000-0003-1911-6372"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huanhuan Li","raw_affiliation_strings":["School of Mathematics and Statistics , 71206 Guizhou University , Guiyang 550025 , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , 71206 Guizhou University , Guiyang 550025 , P. R. China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100666334","display_name":"Meng Li","orcid":"https://orcid.org/0000-0002-8339-8979"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Li","raw_affiliation_strings":["School of Mathematics and Statistics , 71206 Guizhou University , Guiyang 550025 , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , 71206 Guizhou University , Guiyang 550025 , P. R. China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043528294","display_name":"Xianbing Luo","orcid":"https://orcid.org/0000-0003-0414-7504"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianbing Luo","raw_affiliation_strings":["School of Mathematics and Statistics , 71206 Guizhou University , Guiyang 550025 , P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-0414-7504","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , 71206 Guizhou University , Guiyang 550025 , P. R. China","institution_ids":["https://openalex.org/I178232147"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100334085"],"corresponding_institution_ids":["https://openalex.org/I178232147"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27076983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"1","first_page":"89","last_page":"107"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9983999729156494,"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/scalar","display_name":"Scalar (mathematics)","score":0.70169997215271},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5748999714851379},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5703999996185303},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5570999979972839},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.5551000237464905},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.535099983215332}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7601000070571899},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.70169997215271},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5748999714851379},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5703999996185303},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5656999945640564},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5570999979972839},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.5551000237464905},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.535099983215332},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5307999849319458},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.4348999857902527},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.33809998631477356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.336899995803833},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2533000111579895}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2024-0155","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2024-0155","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8730384560","display_name":null,"funder_award_id":"12461076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W209265777","https://openalex.org/W1246294373","https://openalex.org/W1971358585","https://openalex.org/W1974221287","https://openalex.org/W1979389543","https://openalex.org/W1988754720","https://openalex.org/W1994968461","https://openalex.org/W2004168836","https://openalex.org/W2023755787","https://openalex.org/W2041108136","https://openalex.org/W2047859546","https://openalex.org/W2050322335","https://openalex.org/W2052487661","https://openalex.org/W2076077791","https://openalex.org/W2082187902","https://openalex.org/W2088018887","https://openalex.org/W2101461245","https://openalex.org/W2154153079","https://openalex.org/W2155306251","https://openalex.org/W2156946226","https://openalex.org/W2194998795","https://openalex.org/W2345742189","https://openalex.org/W2766149883","https://openalex.org/W2798450085","https://openalex.org/W2809594759","https://openalex.org/W2893622182","https://openalex.org/W2939037805","https://openalex.org/W2964580220","https://openalex.org/W2978675354","https://openalex.org/W3003712908","https://openalex.org/W3083930494","https://openalex.org/W3141019747","https://openalex.org/W3152071472","https://openalex.org/W3187659347","https://openalex.org/W4220950980","https://openalex.org/W4283764053","https://openalex.org/W4292939697","https://openalex.org/W4294795195","https://openalex.org/W4296078129","https://openalex.org/W4307237617","https://openalex.org/W4381743336","https://openalex.org/W4396870709","https://openalex.org/W4398975011","https://openalex.org/W4400657078"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"A":[1],"linear":[2],"BDF2":[3],"numerical":[4,41,44,67],"scheme":[5,45],"is":[6,46,61],"proposed":[7,66],"to":[8,63],"solve":[9],"the":[10,15,26,30,35,40,55,65],"Boussinesq":[11,31],"system.":[12],"By":[13],"using":[14],"exponential":[16],"scalar":[17],"auxiliary":[18],"variable":[19],"(E-SAV)":[20],"approach,":[21],"we":[22],"explicitly":[23],"deal":[24],"with":[25],"nonlinear":[27],"terms":[28],"of":[29],"system,":[32],"and":[33,37,57],"decouple":[34],"velocity":[36,56],"temperature":[38],"in":[39],"simulation.":[42],"These":[43],"unconditionally":[47],"stable.":[48],"We":[49],"give":[50],"rigorous":[51],"error":[52],"analysis":[53],"for":[54],"temperature.":[58],"Numerical":[59],"experiment":[60],"performed":[62],"verify":[64],"scheme.":[68]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}