{"id":"https://openalex.org/W2095257746","doi":"https://doi.org/10.1137/120902987","title":"A Fully Discrete Semi-Lagrangian Scheme for a First Order Mean Field Game Problem","display_name":"A Fully Discrete Semi-Lagrangian Scheme for a First Order Mean Field Game Problem","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2095257746","doi":"https://doi.org/10.1137/120902987","mag":"2095257746"},"language":"en","primary_location":{"id":"doi:10.1137/120902987","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120902987","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1212.4757","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042689539","display_name":"Elisabetta Carlini","orcid":"https://orcid.org/0000-0002-6622-5646"},"institutions":[{"id":"https://openalex.org/I4210164441","display_name":"Conservatorio Guido Cantelli di Novara","ror":"https://ror.org/05hfa9864","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210164441"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"E. Carlini","raw_affiliation_strings":["Dipartimento di Matematica Guido Castelnuovo [Roma I]"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Guido Castelnuovo [Roma I]","institution_ids":["https://openalex.org/I4210164441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065472568","display_name":"Francisco J. Silva","orcid":"https://orcid.org/0000-0002-3893-6029"},"institutions":[{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. J. Silva","raw_affiliation_strings":["Universite de Limoges"],"affiliations":[{"raw_affiliation_string":"Universite de Limoges","institution_ids":["https://openalex.org/I65806277"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042689539"],"corresponding_institution_ids":["https://openalex.org/I4210164441"],"apc_list":null,"apc_paid":null,"fwci":6.8763,"has_fulltext":false,"cited_by_count":100,"citation_normalized_percentile":{"value":0.96816809,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"52","issue":"1","first_page":"45","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9800000190734863,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8690797090530396},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6783202886581421},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6513271331787109},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6473459005355835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6186429858207703},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5678104758262634},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.5348647236824036},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5181676149368286},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4427478015422821},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.41267114877700806},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38864046335220337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28713923692703247},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13318395614624023},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12099981307983398},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.09261688590049744}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8690797090530396},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6783202886581421},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6513271331787109},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6473459005355835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6186429858207703},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5678104758262634},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.5348647236824036},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5181676149368286},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4427478015422821},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41267114877700806},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38864046335220337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28713923692703247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13318395614624023},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12099981307983398},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.09261688590049744},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/120902987","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120902987","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1212.4757","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.4757","pdf_url":"https://arxiv.org/pdf/1212.4757","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01314019v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01314019","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2014, 52 (1), pp.45-67. ⟨10.1137/120902987⟩","raw_type":"Journal articles"},{"id":"pmh:oai:iris.uniroma1.it:11573/559298","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/559298","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1212.4757","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1212.4757","pdf_url":"https://arxiv.org/pdf/1212.4757","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W587977125","https://openalex.org/W1487586009","https://openalex.org/W1494380031","https://openalex.org/W1522579744","https://openalex.org/W1974631363","https://openalex.org/W1978048466","https://openalex.org/W1981066502","https://openalex.org/W2009166934","https://openalex.org/W2024980090","https://openalex.org/W2028316825","https://openalex.org/W2035299975","https://openalex.org/W2048308882","https://openalex.org/W2057470999","https://openalex.org/W2081339714","https://openalex.org/W2117048469","https://openalex.org/W2152872399","https://openalex.org/W2157153211","https://openalex.org/W2162888422","https://openalex.org/W2177195156","https://openalex.org/W2291959543","https://openalex.org/W2964157502","https://openalex.org/W3105300940","https://openalex.org/W3105552897"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2135686668","https://openalex.org/W4323274447","https://openalex.org/W3012684067","https://openalex.org/W1970712301"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3,34],"propose":[4],"a":[5,11,36],"fully":[6],"discrete":[7],"semi-Lagrangian":[8],"scheme":[9],"for":[10,39],"first":[12],"order":[13],"mean":[14],"field":[15],"game":[16],"system.":[17],"We":[18],"prove":[19,35],"that":[20],"the":[21,31,40],"resulting":[22],"discretization":[23],"admits":[24],"at":[25],"least":[26],"one":[27],"solution":[28],"and,":[29],"in":[30],"scalar":[32],"case,":[33],"convergence":[37],"result":[38],"scheme.":[41],"Numerical":[42],"simulations":[43],"and":[44],"examples":[45],"are":[46],"also":[47],"discussed.":[48]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}