{"id":"https://openalex.org/W1998376654","doi":"https://doi.org/10.1007/s10208-010-9080-2","title":"Convergence and Smoothness of Nonlinear Lane\u2013Riesenfeld Algorithms in the Functional Setting","display_name":"Convergence and Smoothness of Nonlinear Lane\u2013Riesenfeld Algorithms in the Functional Setting","publication_year":2010,"publication_date":"2010-11-09","ids":{"openalex":"https://openalex.org/W1998376654","doi":"https://doi.org/10.1007/s10208-010-9080-2","mag":"1998376654"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-010-9080-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-010-9080-2","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","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/A5008364994","display_name":"Nira Dyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Nira Dyn","raw_affiliation_strings":["School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel","Tel Aviv University, School of Mathematical Sciences, 69978 Tel Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University, School of Mathematical Sciences, 69978 Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086134113","display_name":"Ron Goldman","orcid":"https://orcid.org/0000-0001-8720-3860"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ron Goldman","raw_affiliation_strings":["Department of Computer Science, Rice University, Houston, TX, 77251, USA","Rice University, Department of Computer Science, 77251, Houston, TX, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rice University, Houston, TX, 77251, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Rice University, Department of Computer Science, 77251, Houston, TX, USA#TAB#","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008364994"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.346,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.62314722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"1","first_page":"79","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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"}},{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10188","display_name":"Advanced machining processes and optimization","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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":0.724889874458313},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.7198998332023621},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6620903611183167},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6394153237342834},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6371983289718628},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5866851806640625},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5698318481445312},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5050621628761292},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.49896740913391113},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.45092839002609253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3399941027164459},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2099422812461853}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.724889874458313},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7198998332023621},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6620903611183167},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6394153237342834},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6371983289718628},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5866851806640625},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5698318481445312},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5050621628761292},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.49896740913391113},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.45092839002609253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3399941027164459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2099422812461853},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-010-9080-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-010-9080-2","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W83485265","https://openalex.org/W243180070","https://openalex.org/W1556488059","https://openalex.org/W1591325527","https://openalex.org/W2003173111","https://openalex.org/W2010498540","https://openalex.org/W2024012708","https://openalex.org/W2034940548","https://openalex.org/W2085427268","https://openalex.org/W2088824710","https://openalex.org/W2485137799","https://openalex.org/W4388248904","https://openalex.org/W4388250268"],"related_works":["https://openalex.org/W2024012708","https://openalex.org/W2977953627","https://openalex.org/W3121604372","https://openalex.org/W2169500396","https://openalex.org/W2314820698","https://openalex.org/W2057823172","https://openalex.org/W2078911963","https://openalex.org/W2950091630","https://openalex.org/W3004597646","https://openalex.org/W1997741487"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}