{"id":"https://openalex.org/W2047163501","doi":"https://doi.org/10.1007/s10208-009-9042-8","title":"Convergent Interpolation to Cauchy Integrals over\u00a0Analytic Arcs","display_name":"Convergent Interpolation to Cauchy Integrals over\u00a0Analytic Arcs","publication_year":2009,"publication_date":"2009-03-16","ids":{"openalex":"https://openalex.org/W2047163501","doi":"https://doi.org/10.1007/s10208-009-9042-8","mag":"2047163501"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-009-9042-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-009-9042-8","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0812.3919","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030180609","display_name":"Laurent Baratchart","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laurent Baratchart","raw_affiliation_strings":["INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France","INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004415391","display_name":"Maxim L. Yattselev","orcid":"https://orcid.org/0000-0003-3251-0374"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Maxim Yattselev","raw_affiliation_strings":["INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France","INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, Project APICS, 2004 route des Lucioles, BP 93, 06902, Sophia-Antipolis, France#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030180609"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.2125,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91357056,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":"6","first_page":"675","last_page":"715"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9997000098228455,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.8965147733688354},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.7007690668106079},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.6857108473777771},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6732487678527832},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6103640794754028},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5951108932495117},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5133346915245056},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5057456493377686},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.4661853015422821},{"id":"https://openalex.org/keywords/arc","display_name":"Arc (geometry)","score":0.46485909819602966},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.44894811511039734},{"id":"https://openalex.org/keywords/cauchys-integral-formula","display_name":"Cauchy's integral formula","score":0.4381873607635498},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3040439188480377},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.23073014616966248},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.22258791327476501},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11627459526062012}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8965147733688354},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.7007690668106079},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.6857108473777771},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6732487678527832},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6103640794754028},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5951108932495117},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5133346915245056},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5057456493377686},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.4661853015422821},{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.46485909819602966},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.44894811511039734},{"id":"https://openalex.org/C82006148","wikidata":"https://www.wikidata.org/wiki/Q913764","display_name":"Cauchy's integral formula","level":4,"score":0.4381873607635498},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3040439188480377},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.23073014616966248},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.22258791327476501},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11627459526062012},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10208-009-9042-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-009-9042-8","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:oai:arXiv.org:0812.3919","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0812.3919","pdf_url":"https://arxiv.org/pdf/0812.3919","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.747.3557","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.3557","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0911.3850.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00508312v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00508312","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Foundations of Computational Mathematics, 2009, 9 (6), pp.675-715","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0812.3919","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0812.3919","pdf_url":"https://arxiv.org/pdf/0812.3919","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W79683458","https://openalex.org/W86492130","https://openalex.org/W95449539","https://openalex.org/W165766857","https://openalex.org/W589030137","https://openalex.org/W606458730","https://openalex.org/W614098674","https://openalex.org/W637818779","https://openalex.org/W644014461","https://openalex.org/W1488341329","https://openalex.org/W1551480811","https://openalex.org/W1590577697","https://openalex.org/W1601581883","https://openalex.org/W1976273437","https://openalex.org/W1980177911","https://openalex.org/W1982102286","https://openalex.org/W1984714339","https://openalex.org/W1989182356","https://openalex.org/W1989955731","https://openalex.org/W1992143608","https://openalex.org/W1996495789","https://openalex.org/W1996865144","https://openalex.org/W1997988328","https://openalex.org/W2001630729","https://openalex.org/W2007272313","https://openalex.org/W2018529115","https://openalex.org/W2020394497","https://openalex.org/W2020688938","https://openalex.org/W2037060286","https://openalex.org/W2037612300","https://openalex.org/W2042821873","https://openalex.org/W2043866598","https://openalex.org/W2050055254","https://openalex.org/W2052680602","https://openalex.org/W2056188261","https://openalex.org/W2060274096","https://openalex.org/W2064685239","https://openalex.org/W2069589387","https://openalex.org/W2073619469","https://openalex.org/W2077380556","https://openalex.org/W2084480830","https://openalex.org/W2085693163","https://openalex.org/W2085779665","https://openalex.org/W2090159289","https://openalex.org/W2092264187","https://openalex.org/W2127176418","https://openalex.org/W2127352849","https://openalex.org/W2137458886","https://openalex.org/W2158402217","https://openalex.org/W2314988338","https://openalex.org/W2327576296","https://openalex.org/W2330991142","https://openalex.org/W2487286395","https://openalex.org/W2498647973","https://openalex.org/W2600959380","https://openalex.org/W2791179931","https://openalex.org/W2798922842","https://openalex.org/W2946289328","https://openalex.org/W3038696418","https://openalex.org/W3039948875","https://openalex.org/W4232702608","https://openalex.org/W4237396753","https://openalex.org/W4240797762","https://openalex.org/W4253117982","https://openalex.org/W4285719527","https://openalex.org/W4286586543","https://openalex.org/W4299423014","https://openalex.org/W6632548433"],"related_works":["https://openalex.org/W2081990255","https://openalex.org/W110533479","https://openalex.org/W4248194227","https://openalex.org/W2047814828","https://openalex.org/W4213072858","https://openalex.org/W1998860845","https://openalex.org/W4313640449","https://openalex.org/W3183252893","https://openalex.org/W4361002216","https://openalex.org/W1977278511"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
