{"id":"https://openalex.org/W289966560","doi":"https://doi.org/10.1007/s10208-015-9259-7","title":"Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions","display_name":"Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions","publication_year":2015,"publication_date":"2015-06-04","ids":{"openalex":"https://openalex.org/W289966560","doi":"https://doi.org/10.1007/s10208-015-9259-7","mag":"289966560"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-015-9259-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9259-7","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":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1007/s10208-015-9259-7","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051475216","display_name":"Marcio Gameiro","orcid":"https://orcid.org/0000-0003-2168-0757"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I4210131883","display_name":"Brazilian Society of Computational and Applied Mathematics","ror":"https://ror.org/03kcw4w74","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210131883"]}],"countries":["BR","ES"],"is_corresponding":true,"raw_author_name":"Marcio Gameiro","raw_affiliation_strings":["Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o, Universidade de S\u00e3o Paulo, Caixa Postal 668, S\u00e3o Carlos, SP, 13560-970, Brazil","Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o, Universidade de S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13560-970"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o, Universidade de S\u00e3o Paulo, Caixa Postal 668, S\u00e3o Carlos, SP, 13560-970, Brazil","institution_ids":["https://openalex.org/I4210131883","https://openalex.org/I17974374"]},{"raw_affiliation_string":"Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o, Universidade de S\u00e3o Paulo, S\u00e3o Carlos, Brazil 13560-970","institution_ids":["https://openalex.org/I134820265"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010664127","display_name":"Jean\u2010Philippe Lessard","orcid":"https://orcid.org/0000-0001-7672-6623"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jean-Philippe Lessard","raw_affiliation_strings":["Universit\u00e9 Laval, D\u00e9partement de Math\u00e9matiques et de Statistique, 1045 Avenue de la M\u00e9decine, Quebec, QC, G1V 0A6, Canada","Universit\u00e9 Laval, D\u00e9partement de Math\u00e9matiques et de Statistique, Quebec, Canada G1V 0A6#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Laval, D\u00e9partement de Math\u00e9matiques et de Statistique, 1045 Avenue de la M\u00e9decine, Quebec, QC, G1V 0A6, Canada","institution_ids":["https://openalex.org/I43406934"]},{"raw_affiliation_string":"Universit\u00e9 Laval, D\u00e9partement de Math\u00e9matiques et de Statistique, Quebec, Canada G1V 0A6#TAB#","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021291265","display_name":"Alessandro Pugliese","orcid":"https://orcid.org/0000-0003-3324-0169"},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Pugliese","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 degli Studi di Bari Aldo Moro, Via E. Orabona 4, 70125, Bari, Italy","Dipartimento di Matematica, Universit\u00e0 degli Studi di Bari Aldo Moro, Bari, Italy 70125#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Bari Aldo Moro, Via E. Orabona 4, 70125, Bari, Italy","institution_ids":["https://openalex.org/I5561750"]},{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Bari Aldo Moro, Bari, Italy 70125#TAB#","institution_ids":["https://openalex.org/I5561750"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051475216"],"corresponding_institution_ids":["https://openalex.org/I134820265","https://openalex.org/I17974374","https://openalex.org/I4210131883"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6694,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.82906454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"16","issue":"2","first_page":"531","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9909999966621399,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7918952703475952},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6591883897781372},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6388022899627686},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5580259561538696},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.4807872176170349},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.4662185311317444},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.4519580900669098},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44729384779930115},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.438857764005661},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43047115206718445},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4304019510746002},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4006774425506592},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21817979216575623},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15944796800613403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.154598206281662}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7918952703475952},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6591883897781372},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6388022899627686},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5580259561538696},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.4807872176170349},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.4662185311317444},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.4519580900669098},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44729384779930115},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.438857764005661},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43047115206718445},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4304019510746002},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4006774425506592},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21817979216575623},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15944796800613403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.154598206281662},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10208-015-9259-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9259-7","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"},{"id":"pmh:002775279","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10208-015-9259-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:corpus.ulaval.ca:20.500.11794/1468","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11794/1468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article de recherche"},{"id":"pmh:oai:ricerca.uniba.it:11586/171074","is_oa":true,"landing_page_url":"http://hdl.handle.net/11586/171074","pdf_url":null,"source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:002775279","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10208-015-9259-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W178772886","https://openalex.org/W1497110748","https://openalex.org/W1603340857","https://openalex.org/W1924225422","https://openalex.org/W1965378656","https://openalex.org/W1994876152","https://openalex.org/W2001675348","https://openalex.org/W2004067662","https://openalex.org/W2005353159","https://openalex.org/W2009334861","https://openalex.org/W2010626922","https://openalex.org/W2013704097","https://openalex.org/W2019459571","https://openalex.org/W2031022267","https://openalex.org/W2037032585","https://openalex.org/W2046528357","https://openalex.org/W2046975956","https://openalex.org/W2059903013","https://openalex.org/W2060579120","https://openalex.org/W2064888738","https://openalex.org/W2093569281","https://openalex.org/W2110110142","https://openalex.org/W3021722416","https://openalex.org/W4213033603"],"related_works":["https://openalex.org/W2352275403","https://openalex.org/W2159885618","https://openalex.org/W1994937216","https://openalex.org/W2199313715","https://openalex.org/W2012352190","https://openalex.org/W4248087735","https://openalex.org/W4225310406","https://openalex.org/W4229560034","https://openalex.org/W4210910892","https://openalex.org/W4234512766"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2016-06-24T00:00:00"}
