{"id":"https://openalex.org/W4403128030","doi":"https://doi.org/10.1007/s13235-024-00596-1","title":"A Convergent Semi-Lagrangian Scheme for the Game $$\\infty $$-Laplacian","display_name":"A Convergent Semi-Lagrangian Scheme for the Game $$\\infty $$-Laplacian","publication_year":2024,"publication_date":"2024-10-04","ids":{"openalex":"https://openalex.org/W4403128030","doi":"https://doi.org/10.1007/s13235-024-00596-1"},"language":"en","primary_location":{"id":"doi:10.1007/s13235-024-00596-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13235-024-00596-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00596-1.pdf","source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00596-1.pdf","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/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Elisabetta Carlini","raw_affiliation_strings":["Department of Mathematics, Sapienza University of Rome, P.le Aldo Moro, 5, 00185, Rome, RM, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sapienza University of Rome, P.le Aldo Moro, 5, 00185, Rome, RM, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084196446","display_name":"Silvia Tozza","orcid":"https://orcid.org/0000-0002-4336-7262"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Silvia Tozza","raw_affiliation_strings":["Department of Mathematics, Alma Mater Studiorum University of Bologna, P.zza di Porta S. Donato, 5, 40126, Bologna, BO, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Alma Mater Studiorum University of Bologna, P.zza di Porta S. Donato, 5, 40126, Bologna, BO, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042689539"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9912,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7553344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"15","issue":"2","first_page":"406","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9998999834060669,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9986000061035156,"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/scheme","display_name":"Scheme (mathematics)","score":0.6252686977386475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6144712567329407},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.5948351621627808},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.46907490491867065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42867153882980347},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.41571611166000366},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3345223665237427},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3321625292301178},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24521878361701965}],"concepts":[{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6252686977386475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6144712567329407},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.5948351621627808},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.46907490491867065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42867153882980347},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.41571611166000366},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3345223665237427},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3321625292301178},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24521878361701965}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s13235-024-00596-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13235-024-00596-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00596-1.pdf","source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:dyngam:v:15:y:2025:i:2:d:10.1007_s13235-024-00596-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s13235-024-00596-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:cris.unibo.it:11585/997641","is_oa":true,"landing_page_url":"https://link.springer.com/article/10.1007/s13235-024-00596-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1727616","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1727616","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":{"id":"doi:10.1007/s13235-024-00596-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13235-024-00596-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s13235-024-00596-1.pdf","source":{"id":"https://openalex.org/S2502731256","display_name":"Dynamic Games and Applications","issn_l":"2153-0785","issn":["2153-0785","2153-0793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamic Games and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403128030.pdf","grobid_xml":"https://content.openalex.org/works/W4403128030.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1969768229","https://openalex.org/W1977318870","https://openalex.org/W1979463344","https://openalex.org/W1987642543","https://openalex.org/W1999545889","https://openalex.org/W2009166934","https://openalex.org/W2015137895","https://openalex.org/W2016860730","https://openalex.org/W2032316144","https://openalex.org/W2066590618","https://openalex.org/W2092046358","https://openalex.org/W2104821298","https://openalex.org/W2107503465","https://openalex.org/W2466473627","https://openalex.org/W4235249211"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2122599759","https://openalex.org/W4236520801","https://openalex.org/W1537234410","https://openalex.org/W2752454479","https://openalex.org/W2042582596","https://openalex.org/W4280529579","https://openalex.org/W1995022398","https://openalex.org/W2484602794"],"abstract_inverted_index":{"Abstract":[0],"We":[1,17],"propose":[2],"a":[3,57],"new":[4],"semi-Lagrangian":[5],"scheme":[6,23],"for":[7],"the":[8,19,22,25,29,46,54],"game":[9],"$$\\infty":[10],"$$":[11],"<mml:math":[12],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[13],"<mml:mi>\u221e</mml:mi>":[14],"</mml:math>":[15],"-Laplacian.":[16],"demonstrate":[18],"convergence":[20,52],"of":[21,28,40],"to":[24,63],"viscosity":[26,71],"solution":[27],"given":[30],"problem,":[31],"showing":[32],"its":[33],"consistency,":[34],"monotonicity,":[35],"and":[36,60],"stability.":[37],"The":[38],"proof":[39],"this":[41],"result":[42],"is":[43,61],"established":[44],"following":[45],"Barles-Souganidis":[47],"analysis.":[48],"This":[49],"analysis":[50],"assumes":[51],"at":[53],"boundary":[55],"in":[56],"strong":[58],"sense":[59],"applied":[62],"our":[64],"proposed":[65],"scheme,":[66],"augmented":[67],"with":[68],"an":[69],"artificial":[70],"term.":[72]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2024-10-05T00:00:00"}
