{"id":"https://openalex.org/W2040820178","doi":"https://doi.org/10.1007/s10915-011-9571-6","title":"Local Convergence of the Lavrentiev Method for the Cauchy Problem via a Carleman Inequality","display_name":"Local Convergence of the Lavrentiev Method for the Cauchy Problem via a Carleman Inequality","publication_year":2012,"publication_date":"2012-01-04","ids":{"openalex":"https://openalex.org/W2040820178","doi":"https://doi.org/10.1007/s10915-011-9571-6","mag":"2040820178"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-011-9571-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-011-9571-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5111586176","display_name":"Faker Ben Belgacem","orcid":null},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Faker Ben Belgacem","raw_affiliation_strings":["LMAC, EA 2222, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, 60205, Compiegne Cedex, France","LMAC, EA 2222, Universit\u00e9 de Technologie de Compi\u00e8gne, Compiegne Cedex, France 60205#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAC, EA 2222, Universit\u00e9 de Technologie de Compi\u00e8gne, BP 20529, 60205, Compiegne Cedex, France","institution_ids":["https://openalex.org/I102516824"]},{"raw_affiliation_string":"LMAC, EA 2222, Universit\u00e9 de Technologie de Compi\u00e8gne, Compiegne Cedex, France 60205#TAB#","institution_ids":["https://openalex.org/I102516824"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028359728","display_name":"Duc Thang Du","orcid":null},"institutions":[{"id":"https://openalex.org/I67868205","display_name":"VNU University of Science","ror":"https://ror.org/05w54hk79","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841","https://openalex.org/I67868205"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Duc Thang Du","raw_affiliation_strings":["MIM, Hano\u00ef University of Science, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIM, Hano\u00ef University of Science, Hanoi, Vietnam","institution_ids":["https://openalex.org/I67868205"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037235892","display_name":"Faten Jelassi","orcid":null},"institutions":[{"id":"https://openalex.org/I179097149","display_name":"University of Carthage","ror":"https://ror.org/057x6za15","country_code":"TN","type":"education","lineage":["https://openalex.org/I179097149"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Faten Jelassi","raw_affiliation_strings":["Facult\u00e9 des Sciences de Bizerte, LAMSIN, 7021, Jarzouna, Tunisia","Facult\u00e9 des Sciences de Bizerte, LAMSIN, Jarzouna, Tunisia 7021#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences de Bizerte, LAMSIN, 7021, Jarzouna, Tunisia","institution_ids":[]},{"raw_affiliation_string":"Facult\u00e9 des Sciences de Bizerte, LAMSIN, Jarzouna, Tunisia 7021#TAB#","institution_ids":["https://openalex.org/I179097149"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111586176"],"corresponding_institution_ids":["https://openalex.org/I102516824"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.3642,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.52441344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"53","issue":"2","first_page":"320","last_page":"341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9966999888420105,"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/T11558","display_name":"Composite Material Mechanics","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.7956287860870361},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.6770179271697998},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6745414137840271},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5304811596870422},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5046905279159546},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4998931884765625},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.49089914560317993},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.464174747467041},{"id":"https://openalex.org/keywords/well-posed-problem","display_name":"Well-posed problem","score":0.44280943274497986},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4397130608558655},{"id":"https://openalex.org/keywords/cauchys-convergence-test","display_name":"Cauchy's convergence test","score":0.4389571249485016},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4272727966308594},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.4212590754032135},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4187651574611664},{"id":"https://openalex.org/keywords/cauchy-boundary-condition","display_name":"Cauchy boundary condition","score":0.25041839480400085},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.10821321606636047},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08433711528778076}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7956287860870361},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6770179271697998},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6745414137840271},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5304811596870422},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5046905279159546},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4998931884765625},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.49089914560317993},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.464174747467041},{"id":"https://openalex.org/C106214006","wikidata":"https://www.wikidata.org/wiki/Q1455898","display_name":"Well-posed problem","level":2,"score":0.44280943274497986},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4397130608558655},{"id":"https://openalex.org/C76835800","wikidata":"https://www.wikidata.org/wiki/Q859102","display_name":"Cauchy's convergence test","level":5,"score":0.4389571249485016},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4272727966308594},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.4212590754032135},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4187651574611664},{"id":"https://openalex.org/C106947605","wikidata":"https://www.wikidata.org/wiki/Q3278575","display_name":"Cauchy boundary condition","level":4,"score":0.25041839480400085},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.10821321606636047},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08433711528778076},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-011-9571-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-011-9571-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6499999761581421,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W145616578","https://openalex.org/W203889795","https://openalex.org/W630764638","https://openalex.org/W633356328","https://openalex.org/W999282189","https://openalex.org/W1036732791","https://openalex.org/W1974287425","https://openalex.org/W1974331835","https://openalex.org/W1981649542","https://openalex.org/W1985707665","https://openalex.org/W1986501544","https://openalex.org/W2014963263","https://openalex.org/W2025980351","https://openalex.org/W2028936707","https://openalex.org/W2032462601","https://openalex.org/W2036725977","https://openalex.org/W2042330229","https://openalex.org/W2046860752","https://openalex.org/W2047304256","https://openalex.org/W2059687507","https://openalex.org/W2065585720","https://openalex.org/W2073572636","https://openalex.org/W2083977483","https://openalex.org/W2090310515","https://openalex.org/W2275999108","https://openalex.org/W2482126353","https://openalex.org/W3113595652","https://openalex.org/W4206411922","https://openalex.org/W4241668380","https://openalex.org/W4250220742","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2503576560","https://openalex.org/W1970706045","https://openalex.org/W2235197348","https://openalex.org/W2400581667","https://openalex.org/W3148046619","https://openalex.org/W2374546441","https://openalex.org/W2394174381","https://openalex.org/W189281720","https://openalex.org/W2099397409","https://openalex.org/W3127582379"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
