{"id":"https://openalex.org/W114881379","doi":"https://doi.org/10.1007/978-3-662-45504-3_7","title":"Two Semi-Lagrangian Fast Methods for Hamilton-Jacobi-Bellman Equations","display_name":"Two Semi-Lagrangian Fast Methods for Hamilton-Jacobi-Bellman Equations","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W114881379","doi":"https://doi.org/10.1007/978-3-662-45504-3_7","mag":"114881379"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-45504-3_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-45504-3_7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-662-45504-3_7.pdf","source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-662-45504-3_7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031296378","display_name":"Simone Cacace","orcid":"https://orcid.org/0000-0002-5864-0970"},"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":false,"raw_author_name":"Simone Cacace","raw_affiliation_strings":["Dipartimento di Matematica, Sapienza \u2013 Universit\u00e0 di Roma, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Sapienza \u2013 Universit\u00e0 di Roma, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006366581","display_name":"Emiliano Cristiani","orcid":"https://orcid.org/0000-0002-7015-2371"},"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":true,"raw_author_name":"Emiliano Cristiani","raw_affiliation_strings":["Istituto per le Applicazioni del Calcolo, CNR, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto per le Applicazioni del Calcolo, CNR, Rome, Italy","institution_ids":["https://openalex.org/I4210106125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044925835","display_name":"Maurizio Falcone","orcid":"https://orcid.org/0000-0002-4277-2370"},"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":false,"raw_author_name":"Maurizio Falcone","raw_affiliation_strings":["Dipartimento di Matematica, Sapienza \u2013 Universit\u00e0 di Roma, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Sapienza \u2013 Universit\u00e0 di Roma, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006366581"],"corresponding_institution_ids":["https://openalex.org/I4210106125"],"apc_list":null,"apc_paid":null,"fwci":1.1276,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71845691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"74","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.9350534677505493},{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"Eikonal equation","score":0.8912776708602905},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.7017378211021423},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5556619763374329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5322052836418152},{"id":"https://openalex.org/keywords/fast-marching-method","display_name":"Fast marching method","score":0.5225119590759277},{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.5103270411491394},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.48014137148857117},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45564067363739014},{"id":"https://openalex.org/keywords/eikonal-approximation","display_name":"Eikonal approximation","score":0.42140161991119385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37594160437583923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25466081500053406},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.2537809908390045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22933730483055115}],"concepts":[{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.9350534677505493},{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.8912776708602905},{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.7017378211021423},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5556619763374329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5322052836418152},{"id":"https://openalex.org/C17866373","wikidata":"https://www.wikidata.org/wiki/Q5437042","display_name":"Fast marching method","level":2,"score":0.5225119590759277},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.5103270411491394},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.48014137148857117},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45564067363739014},{"id":"https://openalex.org/C141595757","wikidata":"https://www.wikidata.org/wiki/Q649478","display_name":"Eikonal approximation","level":3,"score":0.42140161991119385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37594160437583923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25466081500053406},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.2537809908390045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22933730483055115},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-662-45504-3_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-45504-3_7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-662-45504-3_7.pdf","source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},{"id":"pmh:oai:iris.uniroma1.it:11573/667062","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/667062","pdf_url":"http://www.springer.com/computer/theoretical+computer+science/book/978-3-662-45503-6","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/bookPart"},{"id":"pmh:oai:HAL:hal-01286401v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01286401","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. pp.74-84, ⟨10.1007/978-3-662-45504-3_7⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:iris.uniroma3.it:11590/351098","is_oa":false,"landing_page_url":"https://www.scopus.com/inward/record.uri?eid=2-s2.0-84914680216&doi=10.1007%2f978-3-662-45504-3_7&partnerID=40&md5=b1428b6f2f78dc5748f0f2e0463218fe","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"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/bookPart"}],"best_oa_location":{"id":"doi:10.1007/978-3-662-45504-3_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-45504-3_7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-662-45504-3_7.pdf","source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8441913660","display_name":null,"funder_award_id":"FA9550-10-1-0029","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W114881379.pdf","grobid_xml":"https://content.openalex.org/works/W114881379.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W587977125","https://openalex.org/W1970390879","https://openalex.org/W1999244633","https://openalex.org/W2003009438","https://openalex.org/W2020361400","https://openalex.org/W2025550225","https://openalex.org/W2049391017","https://openalex.org/W2051261506","https://openalex.org/W2055341194","https://openalex.org/W2132003031","https://openalex.org/W2139822104","https://openalex.org/W2561843528","https://openalex.org/W3104032410"],"related_works":["https://openalex.org/W2030442587","https://openalex.org/W2200845428","https://openalex.org/W2751226202","https://openalex.org/W1970732967","https://openalex.org/W2415867404","https://openalex.org/W2050394778","https://openalex.org/W3021902260","https://openalex.org/W2474675250","https://openalex.org/W176770976","https://openalex.org/W4298206860"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}