{"id":"https://openalex.org/W2062002260","doi":"https://doi.org/10.1007/s11075-008-9203-x","title":"Nontensorial Clenshaw\u2013Curtis cubature","display_name":"Nontensorial Clenshaw\u2013Curtis cubature","publication_year":2008,"publication_date":"2008-05-26","ids":{"openalex":"https://openalex.org/W2062002260","doi":"https://doi.org/10.1007/s11075-008-9203-x","mag":"2062002260"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-008-9203-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9203-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5014073555","display_name":"Alvise Sommariva","orcid":"https://orcid.org/0000-0002-8902-8063"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alvise Sommariva","raw_affiliation_strings":["Department of Pure and Applied Mathematics, University of Padova, via Trieste 63, 35121, Padova, Italy","University of Padova"],"affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics, University of Padova, via Trieste 63, 35121, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"University of Padova","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103700691","display_name":"Marco Vianello","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Vianello","raw_affiliation_strings":["Department of Pure and Applied Mathematics, University of Padova, via Trieste 63, 35121, Padova, Italy","University of Padova"],"affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics, University of Padova, via Trieste 63, 35121, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"University of Padova","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052014388","display_name":"Renato Zanovello","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Renato Zanovello","raw_affiliation_strings":["Department of Pure and Applied Mathematics, University of Padova, via Trieste 63, 35121, Padova, Italy","University of Padova"],"affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics, University of Padova, via Trieste 63, 35121, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"University of Padova","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014073555"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1606,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.86180202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"49","issue":"1-4","first_page":"409","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9987999796867371,"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":0.9987999796867371,"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/T10514","display_name":"Numerical methods in engineering","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9902999997138977,"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":0.8359073400497437},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6205998063087463},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5814395546913147},{"id":"https://openalex.org/keywords/clenshaw\u2013curtis-quadrature","display_name":"Clenshaw\u2013Curtis quadrature","score":0.5396175384521484},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5393808484077454},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4925280511379242},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.475496381521225},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.460604727268219},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.44368845224380493},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4428193271160126},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.4340072274208069},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37584495544433594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3637078106403351},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2674461007118225},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2012210488319397},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1538965404033661},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.13143154978752136},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.12046289443969727},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07629641890525818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.072106271982193}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8359073400497437},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6205998063087463},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5814395546913147},{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.5396175384521484},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5393808484077454},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4925280511379242},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.475496381521225},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.460604727268219},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.44368845224380493},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4428193271160126},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.4340072274208069},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37584495544433594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3637078106403351},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2674461007118225},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2012210488319397},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1538965404033661},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.13143154978752136},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.12046289443969727},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07629641890525818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.072106271982193},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11075-008-9203-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9203-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.124.5881","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.5881","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.unipd.it/~marcov/pdf/hyperquad.pdf","raw_type":"text"},{"id":"pmh:oai:www.research.unipd.it:11577/2443549","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2443549","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W66250508","https://openalex.org/W126464955","https://openalex.org/W149808476","https://openalex.org/W591769428","https://openalex.org/W1560266390","https://openalex.org/W1593505867","https://openalex.org/W1594563152","https://openalex.org/W1970547977","https://openalex.org/W1971099220","https://openalex.org/W1998258828","https://openalex.org/W2007857521","https://openalex.org/W2012934634","https://openalex.org/W2013286893","https://openalex.org/W2021999538","https://openalex.org/W2033022456","https://openalex.org/W2034878612","https://openalex.org/W2039316419","https://openalex.org/W2046146039","https://openalex.org/W2046517253","https://openalex.org/W2051010753","https://openalex.org/W2059998776","https://openalex.org/W2069877263","https://openalex.org/W2072320069","https://openalex.org/W2078873941","https://openalex.org/W2082089361","https://openalex.org/W2085740870","https://openalex.org/W2089755800","https://openalex.org/W2092511131","https://openalex.org/W2094857746","https://openalex.org/W2103455761","https://openalex.org/W2105925853","https://openalex.org/W2106828713","https://openalex.org/W2109990880","https://openalex.org/W2121435584","https://openalex.org/W2130010995","https://openalex.org/W2133503233","https://openalex.org/W2149682597","https://openalex.org/W2151881956","https://openalex.org/W2330381107","https://openalex.org/W2330548796","https://openalex.org/W2403013574","https://openalex.org/W2524230058","https://openalex.org/W2605702637","https://openalex.org/W2997595037","https://openalex.org/W3117216682","https://openalex.org/W4230199773","https://openalex.org/W4246435287","https://openalex.org/W4254246953","https://openalex.org/W4255975175"],"related_works":["https://openalex.org/W2005963907","https://openalex.org/W2755124412","https://openalex.org/W2929787118","https://openalex.org/W1970022876","https://openalex.org/W2056088350","https://openalex.org/W2059356455","https://openalex.org/W3159111101","https://openalex.org/W1973321202","https://openalex.org/W1986739369","https://openalex.org/W2163785732"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
