{"id":"https://openalex.org/W2061143360","doi":"https://doi.org/10.1090/s0025-5718-03-01549-7","title":"Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems","display_name":"Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems","publication_year":2003,"publication_date":"2003-08-26","ids":{"openalex":"https://openalex.org/W2061143360","doi":"https://doi.org/10.1090/s0025-5718-03-01549-7","mag":"2061143360"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-03-01549-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01549-7","pdf_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01549-7/S0025-5718-03-01549-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01549-7/S0025-5718-03-01549-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011477739","display_name":"Denise Aregba-Driollet","orcid":"https://orcid.org/0000-0003-0018-8229"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Aregba-Driollet","raw_affiliation_strings":["Math\u00e9matiques Appliqu\u00e9es De Bordeaux, Universit\u00e9 Bordeaux 1, 351 Cours De La Lib\u00e9ration, F-33405 Talence, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques Appliqu\u00e9es De Bordeaux, Universit\u00e9 Bordeaux 1, 351 Cours De La Lib\u00e9ration, F-33405 Talence, France#TAB#","institution_ids":["https://openalex.org/I15057530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028629975","display_name":"Roberto Natalini","orcid":"https://orcid.org/0000-0002-5453-6383"},"institutions":[{"id":"https://openalex.org/I4210106125","display_name":"Istituto per le Applicazioni del Calcolo Mauro Picone","ror":"https://ror.org/00ygy3d85","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Natalini","raw_affiliation_strings":["Istituto Per Le Applicazioni Del Calcolo M. Picone, Consiglio Nazionale Delle Ricerche, Viale Del Policlinico 137, I-00161 Roma, Italia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto Per Le Applicazioni Del Calcolo M. Picone, Consiglio Nazionale Delle Ricerche, Viale Del Policlinico 137, I-00161 Roma, Italia#TAB#","institution_ids":["https://openalex.org/I4210106125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038179929","display_name":"Shaoqiang Tang","orcid":"https://orcid.org/0000-0002-7387-5743"},"institutions":[{"id":"https://openalex.org/I189712700","display_name":"University of Konstanz","ror":"https://ror.org/0546hnb39","country_code":"DE","type":"education","lineage":["https://openalex.org/I189712700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S. Tang","raw_affiliation_strings":["Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, People's Republic of China and Fachbereich Mathematik und Statistik, Universit\u00e4t Konstanz, 78457 Konztanz, "],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, People's Republic of China and Fachbereich Mathematik und Statistik, Universit\u00e4t Konstanz, 78457 Konztanz, ","institution_ids":["https://openalex.org/I189712700"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4907,"has_fulltext":true,"cited_by_count":75,"citation_normalized_percentile":{"value":0.95773852,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"73","issue":"245","first_page":"63","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9962000250816345,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9962000250816345,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9944000244140625,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9883999824523926,"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/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.8524650931358337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8438944816589355},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6658946871757507},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5646086931228638},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5305531024932861},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5300243496894836},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43931037187576294},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4369966983795166},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4226168096065521},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41132447123527527},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.18868577480316162},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10646966099739075},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1033344566822052},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1020611822605133}],"concepts":[{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.8524650931358337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8438944816589355},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6658946871757507},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5646086931228638},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5305531024932861},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5300243496894836},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43931037187576294},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4369966983795166},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4226168096065521},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41132447123527527},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.18868577480316162},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10646966099739075},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1033344566822052},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1020611822605133},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/s0025-5718-03-01549-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01549-7","pdf_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01549-7/S0025-5718-03-01549-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-03-01549-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-03-01549-7","pdf_url":"https://www.ams.org/mcom/2004-73-245/S0025-5718-03-01549-7/S0025-5718-03-01549-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2061143360.pdf","grobid_xml":"https://content.openalex.org/works/W2061143360.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W305564943","https://openalex.org/W328073187","https://openalex.org/W1494623541","https://openalex.org/W1583880678","https://openalex.org/W1966058908","https://openalex.org/W1967680164","https://openalex.org/W1969647398","https://openalex.org/W1973481688","https://openalex.org/W1981857852","https://openalex.org/W1982236257","https://openalex.org/W1992812527","https://openalex.org/W1996508828","https://openalex.org/W2009546107","https://openalex.org/W2010506467","https://openalex.org/W2017620052","https://openalex.org/W2035930403","https://openalex.org/W2051165327","https://openalex.org/W2051369747","https://openalex.org/W2059328025","https://openalex.org/W2066501150","https://openalex.org/W2073447845","https://openalex.org/W2073809154","https://openalex.org/W2081651917","https://openalex.org/W2098781861","https://openalex.org/W2116729868","https://openalex.org/W2150347258","https://openalex.org/W2154885094","https://openalex.org/W2156669471","https://openalex.org/W2480404596","https://openalex.org/W2734470228","https://openalex.org/W3010292040","https://openalex.org/W3021722416","https://openalex.org/W4300670715","https://openalex.org/W6817384483"],"related_works":["https://openalex.org/W2971099291","https://openalex.org/W3099211396","https://openalex.org/W2886810076","https://openalex.org/W2941405134","https://openalex.org/W1484269119","https://openalex.org/W126524403","https://openalex.org/W1998200790","https://openalex.org/W4317210689","https://openalex.org/W2036051171","https://openalex.org/W4285445988"],"abstract_inverted_index":{"We":[0],"design":[1],"numerical":[2],"schemes":[3,14],"for":[4,47],"nonlinear":[5],"degenerate":[6],"parabolic":[7],"systems":[8],"with":[9],"possibly":[10],"dominant":[11],"convection.":[12],"These":[13],"are":[15,37],"based":[16],"on":[17,30],"discrete":[18],"BGK":[19],"models":[20],"where":[21],"both":[22],"characteristic":[23],"velocities":[24],"and":[25,39],"the":[26,31,44],"source-term":[27],"depend":[28],"singularly":[29],"relaxation":[32],"parameter.":[33],"General":[34],"stability":[35],"conditions":[36],"derived,":[38],"convergence":[40],"is":[41],"proved":[42],"to":[43],"entropy":[45],"solutions":[46],"scalar":[48],"equations.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
