{"id":"https://openalex.org/W2022633155","doi":"https://doi.org/10.1007/s00211-014-0643-z","title":"A convergent scheme for Hamilton\u2013Jacobi equations on a junction: application to traffic","display_name":"A convergent scheme for Hamilton\u2013Jacobi equations on a junction: application to traffic","publication_year":2014,"publication_date":"2014-06-11","ids":{"openalex":"https://openalex.org/W2022633155","doi":"https://doi.org/10.1007/s00211-014-0643-z","mag":"2022633155"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0643-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0643-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5064046460","display_name":"Guillaume Costeseque","orcid":"https://orcid.org/0000-0002-2389-4778"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I2800365227","display_name":"Paris-Est Sup","ror":"https://ror.org/0268ecp52","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800365227"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Guillaume Costeseque","raw_affiliation_strings":["Universit\u00e9 Paris-Est, Ecole des Ponts ParisTech, CERMICS, Marne la Vall\u00e9e Cedex 2, France","Universit\u00e9 Paris-Est, IFSTTAR, GRETTIA, Marne la Vall\u00e9e Cedex 2, France","CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)","IFSTTAR/COSYS/GRETTIA - G\u00e9nie des R\u00e9seaux de Transport Terrestres et Informatique Avanc\u00e9e (14-20 Boulevard Newton - Cit\u00e9 Descartes, Champs sur Marne - F-77447 Marne la Vall\u00e9e Cedex 2 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est, Ecole des Ponts ParisTech, CERMICS, Marne la Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Est, IFSTTAR, GRETTIA, Marne la Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I2800365227"]},{"raw_affiliation_string":"CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210128309"]},{"raw_affiliation_string":"IFSTTAR/COSYS/GRETTIA - G\u00e9nie des R\u00e9seaux de Transport Terrestres et Informatique Avanc\u00e9e (14-20 Boulevard Newton - Cit\u00e9 Descartes, Champs sur Marne - F-77447 Marne la Vall\u00e9e Cedex 2 - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086489693","display_name":"Jean\u2010Patrick Lebacque","orcid":"https://orcid.org/0000-0002-5339-5988"},"institutions":[{"id":"https://openalex.org/I2800365227","display_name":"Paris-Est Sup","ror":"https://ror.org/0268ecp52","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800365227"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Patrick Lebacque","raw_affiliation_strings":["Universit\u00e9 Paris-Est, IFSTTAR, GRETTIA, Marne la Vall\u00e9e Cedex 2, France","IFSTTAR/COSYS/GRETTIA - G\u00e9nie des R\u00e9seaux de Transport Terrestres et Informatique Avanc\u00e9e (14-20 Boulevard Newton - Cit\u00e9 Descartes, Champs sur Marne - F-77447 Marne la Vall\u00e9e Cedex 2 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est, IFSTTAR, GRETTIA, Marne la Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I2800365227"]},{"raw_affiliation_string":"IFSTTAR/COSYS/GRETTIA - G\u00e9nie des R\u00e9seaux de Transport Terrestres et Informatique Avanc\u00e9e (14-20 Boulevard Newton - Cit\u00e9 Descartes, Champs sur Marne - F-77447 Marne la Vall\u00e9e Cedex 2 - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108464528","display_name":"R\u00e9gis Monneau","orcid":null},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R\u00e9gis Monneau","raw_affiliation_strings":["Universit\u00e9 Paris-Est, Ecole des Ponts ParisTech, CERMICS, Marne la Vall\u00e9e Cedex 2, France","CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Est, Ecole des Ponts ParisTech, CERMICS, Marne la Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]},{"raw_affiliation_string":"CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210128309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064046460"],"corresponding_institution_ids":["https://openalex.org/I142631665","https://openalex.org/I2800365227","https://openalex.org/I4210128309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8726,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.90968196,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"129","issue":"3","first_page":"405","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10524","display_name":"Traffic control and management","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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":0.9902999997138977,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/godunovs-scheme","display_name":"Godunov's scheme","score":0.7445884943008423},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.7087394595146179},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.6566591262817383},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6254631280899048},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6117263436317444},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5465190410614014},{"id":"https://openalex.org/keywords/subsequence","display_name":"Subsequence","score":0.5425648093223572},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5199107527732849},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4176928997039795},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3757442831993103}],"concepts":[{"id":"https://openalex.org/C146705398","wikidata":"https://www.wikidata.org/wiki/Q4291826","display_name":"Godunov's scheme","level":3,"score":0.7445884943008423},{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.7087394595146179},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.6566591262817383},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6254631280899048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6117263436317444},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5465190410614014},{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.5425648093223572},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5199107527732849},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4176928997039795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3757442831993103},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-014-0643-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0643-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01214828v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01214828","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0029-599X","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.550000011920929,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W10781045","https://openalex.org/W84003716","https://openalex.org/W153353184","https://openalex.org/W181270498","https://openalex.org/W1505284970","https://openalex.org/W1555627060","https://openalex.org/W1558534073","https://openalex.org/W1571871558","https://openalex.org/W1583468962","https://openalex.org/W1600967930","https://openalex.org/W1601100443","https://openalex.org/W1970158083","https://openalex.org/W1975738182","https://openalex.org/W1980008163","https://openalex.org/W1992513717","https://openalex.org/W1995720627","https://openalex.org/W1996243804","https://openalex.org/W1997221482","https://openalex.org/W1997500459","https://openalex.org/W2010506467","https://openalex.org/W2018342837","https://openalex.org/W2021092589","https://openalex.org/W2023025416","https://openalex.org/W2027438381","https://openalex.org/W2032316144","https://openalex.org/W2036910913","https://openalex.org/W2039802576","https://openalex.org/W2049495675","https://openalex.org/W2049762605","https://openalex.org/W2057582666","https://openalex.org/W2064002570","https://openalex.org/W2086161529","https://openalex.org/W2086901412","https://openalex.org/W2091078877","https://openalex.org/W2093921901","https://openalex.org/W2095797625","https://openalex.org/W2121680966","https://openalex.org/W2145496640","https://openalex.org/W2146217960","https://openalex.org/W2163916830","https://openalex.org/W2323437890","https://openalex.org/W2476432869","https://openalex.org/W2481459718","https://openalex.org/W2778033595","https://openalex.org/W2978957278","https://openalex.org/W3102306170","https://openalex.org/W3105063264","https://openalex.org/W4255388216","https://openalex.org/W4285719527","https://openalex.org/W4292069163","https://openalex.org/W4388322678","https://openalex.org/W6829335201"],"related_works":["https://openalex.org/W1983345526","https://openalex.org/W1594944678","https://openalex.org/W2076944689","https://openalex.org/W1977330547","https://openalex.org/W1487586009","https://openalex.org/W3102569876","https://openalex.org/W2061585064","https://openalex.org/W1997500459","https://openalex.org/W2061850819","https://openalex.org/W2971079383"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}