{"id":"https://openalex.org/W2035299975","doi":"https://doi.org/10.1137/090758477","title":"Mean Field Games: Numerical Methods","display_name":"Mean Field Games: Numerical Methods","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2035299975","doi":"https://doi.org/10.1137/090758477","mag":"2035299975"},"language":"en","primary_location":{"id":"doi:10.1137/090758477","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090758477","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":["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/A5010896193","display_name":"Yves Achdou","orcid":"https://orcid.org/0000-0002-0514-3727"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yves Achdou","raw_affiliation_strings":["achdou@math.jussieu.fr#TAB#"],"affiliations":[{"raw_affiliation_string":"achdou@math.jussieu.fr#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091067958","display_name":"Italo Capuzzo-Dolcetta","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Italo Capuzzo-Dolcetta","raw_affiliation_strings":["capuzzo@mat.uniroma1.it#TAB#"],"affiliations":[{"raw_affiliation_string":"capuzzo@mat.uniroma1.it#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010896193"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":17.6633,"has_fulltext":false,"cited_by_count":334,"citation_normalized_percentile":{"value":0.99130401,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"48","issue":"3","first_page":"1136","last_page":"1162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13234","display_name":"advanced mathematical theories","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8901591897010803},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6842594742774963},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5815774202346802},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5656324028968811},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5231674313545227},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.5216144323348999},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5024979114532471},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47358399629592896},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44450637698173523},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3472835123538971},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3166946470737457},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30096304416656494}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8901591897010803},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6842594742774963},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5815774202346802},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5656324028968811},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5231674313545227},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.5216144323348999},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5024979114532471},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47358399629592896},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44450637698173523},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3472835123538971},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3166946470737457},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30096304416656494},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090758477","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090758477","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:iris.uniroma1.it:11573/29426","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?eid=2-s2.0-77956048120&partnerID=65&md5=1f5caba0bff597bc824d0307671e70e4","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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1837225993","https://openalex.org/W2002707718","https://openalex.org/W2012516112","https://openalex.org/W2023042366","https://openalex.org/W2028316825","https://openalex.org/W2038667362","https://openalex.org/W2038686546","https://openalex.org/W2041236557","https://openalex.org/W2048308882","https://openalex.org/W2054762334","https://openalex.org/W2057470999","https://openalex.org/W2067521925","https://openalex.org/W4210364010"],"related_works":["https://openalex.org/W1506376179","https://openalex.org/W1997932535","https://openalex.org/W2010049312","https://openalex.org/W2963771406","https://openalex.org/W2169403347","https://openalex.org/W2152819099","https://openalex.org/W2162623007","https://openalex.org/W2061012261","https://openalex.org/W2009695399","https://openalex.org/W2053129613"],"abstract_inverted_index":{"Mean":[0],"field":[1],"type":[2],"models":[3,71],"describing":[4],"the":[5,9,61,64,86,89],"limiting":[6],"behavior,":[7],"as":[8,81,83],"number":[10],"of":[11,16,63,69,88],"players":[12],"tends":[13],"to":[14],"$+\\infty$,":[15],"stochastic":[17],"differential":[18],"game":[19],"problems,":[20],"have":[21],"been":[22],"recently":[23],"introduced":[24],"by":[25],"J.-M.":[26],"Lasry":[27],"and":[28,66,78],"P.-L.":[29],"Lions":[30],"[C.":[31],"R.":[32,42],"Math.":[33,43],"Acad.":[34,44],"Sci.":[35,45],"Paris,":[36,46],"343":[37,47],"(2006),":[38,48],"pp.":[39,49,56],"619\u2013625;":[40],"C.":[41],"679\u2013684;":[50],"Jpn.":[51],"J.":[52],"Math.,":[53],"2":[54],"(2007),":[55],"229\u2013260].":[57],"Numerical":[58,94],"methods":[59],"for":[60,85],"approximation":[62],"stationary":[65],"evolutive":[67],"versions":[68],"such":[70],"are":[72,92,96],"proposed":[73],"here.":[74],"In":[75],"particular,":[76],"existence":[77],"uniqueness":[79],"properties":[80],"well":[82],"bounds":[84],"solutions":[87],"discrete":[90],"schemes":[91],"investigated.":[93],"experiments":[95],"carried":[97],"out.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":30},{"year":2024,"cited_by_count":30},{"year":2023,"cited_by_count":25},{"year":2022,"cited_by_count":29},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":33},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":30},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":17}],"updated_date":"2026-03-23T07:41:27.035349","created_date":"2016-06-24T00:00:00"}