{"id":"https://openalex.org/W4379879640","doi":"https://doi.org/10.1016/j.jmaa.2023.127507","title":"Convergence of the heat kernel approximate solutions of the transport-diffusion equation in the half-space","display_name":"Convergence of the heat kernel approximate solutions of the transport-diffusion equation in the half-space","publication_year":2023,"publication_date":"2023-06-08","ids":{"openalex":"https://openalex.org/W4379879640","doi":"https://doi.org/10.1016/j.jmaa.2023.127507"},"language":"en","primary_location":{"id":"doi:10.1016/j.jmaa.2023.127507","doi":"https://doi.org/10.1016/j.jmaa.2023.127507","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2023.127507","pdf_url":null,"source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5092116415","display_name":"Rabah Gherdaoui","orcid":"https://orcid.org/0000-0001-9122-3549","observed_orcids":["https://orcid.org/0000-0001-9122-3549"]},"institutions":[{"id":"https://openalex.org/I4210159538","display_name":"Mouloud Mammeri University of Tizi-Ouzou","ror":"https://ror.org/050ktqq97","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210159538"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Rabah Gherdaoui","raw_affiliation_strings":["LMPA-University of Tizi Ouzou, Algeria"],"raw_orcid":"https://orcid.org/0000-0001-9122-3549","affiliations":[{"raw_affiliation_string":"LMPA-University of Tizi Ouzou, Algeria","institution_ids":["https://openalex.org/I4210159538"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071238834","display_name":"Lynda Taleb","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210159538","display_name":"Mouloud Mammeri University of Tizi-Ouzou","ror":"https://ror.org/050ktqq97","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210159538"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Lynda Taleb","raw_affiliation_strings":["LMPA-University of Tizi Ouzou, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMPA-University of Tizi Ouzou, Algeria","institution_ids":["https://openalex.org/I4210159538"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052168182","display_name":"Steave C. Selvaduray","orcid":"https://orcid.org/0009-0004-9159-4154","observed_orcids":["https://orcid.org/0009-0004-9159-4154"]},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Steave Selvaduray","raw_affiliation_strings":["University of Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Turin, Italy","institution_ids":["https://openalex.org/I55143463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5092116415"],"corresponding_institution_ids":["https://openalex.org/I4210159538"],"apc_list":{"value":3070,"currency":"USD","value_usd":3070},"apc_paid":null,"fwci":0.643,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54557043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"527","issue":"2","first_page":"127507","last_page":"127507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9595000147819519,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9595000147819519,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.012400000356137753,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.007699999958276749,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/transport-diffusion-equation","display_name":"transport-diffusion equation","score":0.9980000257492065},{"id":"https://openalex.org/keywords/heat-kernel","display_name":"heat kernel","score":0.734000027179718},{"id":"https://openalex.org/keywords/approximate-solutions","display_name":"approximate solutions","score":0.8330000042915344},{"id":"https://openalex.org/keywords/half-space","display_name":"half-space","score":0.8769999742507935},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"uniform convergence","score":0.9279999732971191},{"id":"https://openalex.org/keywords/time-discretization","display_name":"time discretization","score":0.6449999809265137},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.7099999785423279},{"id":"https://openalex.org/keywords/convergence-of-derivatives","display_name":"convergence of derivatives","score":0.5879999995231628},{"id":"https://openalex.org/keywords/passage-to-the-limit","display_name":"passage to the limit","score":0.5789999961853027}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8678412437438965},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.6540220975875854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6367506980895996},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5859894156455994},{"id":"https://openalex.org/C183212220","wikidata":"https://www.wikidata.org/wiki/Q3345669","display_name":"Heat kernel","level":2,"score":0.5842424631118774},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5787076950073242},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.561983048915863},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5556864738464355},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.54345703125},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5408966541290283},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5329217910766602},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5087397694587708},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49982476234436035},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41942593455314636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3712530732154846},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08431506156921387},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06786757707595825},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jmaa.2023.127507","doi":"https://doi.org/10.1016/j.jmaa.2023.127507","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jmaa.2023.127507","pdf_url":null,"source":{"id":"https://openalex.org/S151579836","display_name":"Journal of Mathematical Analysis and Applications","issn_l":"0022-247X","issn":["0022-247X","1096-0813"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1988001807","https://openalex.org/W2021085014","https://openalex.org/W2022969654","https://openalex.org/W2063999201","https://openalex.org/W2072685235","https://openalex.org/W2122223456","https://openalex.org/W2129659515","https://openalex.org/W2154756003","https://openalex.org/W2158704256","https://openalex.org/W2171802886","https://openalex.org/W2355088317","https://openalex.org/W2474355797","https://openalex.org/W2511538832","https://openalex.org/W2793116238","https://openalex.org/W2885285331","https://openalex.org/W2962883467","https://openalex.org/W2971723169","https://openalex.org/W4249520102","https://openalex.org/W4291538801","https://openalex.org/W6805676410","https://openalex.org/W6920570044","https://openalex.org/W7073620246"],"related_works":["https://openalex.org/W4399437994","https://openalex.org/W6920570044","https://openalex.org/W4407376335","https://openalex.org/W7169109418","https://openalex.org/W4415374384","https://openalex.org/W2376331899","https://openalex.org/W2011317157","https://openalex.org/W3183456202","https://openalex.org/W1922655802","https://openalex.org/W7148446428"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2023-06-09T00:00:00"}
