{"id":"https://openalex.org/W1995933053","doi":"https://doi.org/10.1007/bf02127701","title":"Derivative corrections for quadrature formulas","display_name":"Derivative corrections for quadrature formulas","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W1995933053","doi":"https://doi.org/10.1007/bf02127701","mag":"1995933053"},"language":"en","primary_location":{"id":"doi:10.1007/bf02127701","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02127701","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in 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/A5005850192","display_name":"William F. Ford","orcid":null},"institutions":[{"id":"https://openalex.org/I2799786008","display_name":"Glenn Research Center","ror":"https://ror.org/059fqnc42","country_code":"US","type":"facility","lineage":["https://openalex.org/I2799786008","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William F. Ford","raw_affiliation_strings":["Research Analysis Center, MS 142-5, NASA Lewis Research Center, 44135, Cleveland, OH, USA","Research Analysis Center, MS 142-5, NASA Lewis Research Center, Cleveland, USA"],"affiliations":[{"raw_affiliation_string":"Research Analysis Center, MS 142-5, NASA Lewis Research Center, 44135, Cleveland, OH, USA","institution_ids":["https://openalex.org/I2799786008"]},{"raw_affiliation_string":"Research Analysis Center, MS 142-5, NASA Lewis Research Center, Cleveland, USA","institution_ids":["https://openalex.org/I2799786008"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026572582","display_name":"Yuesheng Xu","orcid":"https://orcid.org/0000-0003-3965-3087"},"institutions":[{"id":"https://openalex.org/I57328836","display_name":"North Dakota State University","ror":"https://ror.org/05h1bnb22","country_code":"US","type":"education","lineage":["https://openalex.org/I57328836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuesheng Xu","raw_affiliation_strings":["Department of Mathematics, North Dakota State University, 58105, Fargo, ND, USA","Department of Mathematics, North Dakota State University, Fargo, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Dakota State University, 58105, Fargo, ND, USA","institution_ids":["https://openalex.org/I57328836"]},{"raw_affiliation_string":"Department of Mathematics, North Dakota State University, Fargo, USA","institution_ids":["https://openalex.org/I57328836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004319162","display_name":"Yunhe Zhao","orcid":"https://orcid.org/0000-0002-6912-5245"},"institutions":[{"id":"https://openalex.org/I57328836","display_name":"North Dakota State University","ror":"https://ror.org/05h1bnb22","country_code":"US","type":"education","lineage":["https://openalex.org/I57328836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunhe Zhao","raw_affiliation_strings":["Department of Mathematics, North Dakota State University, 58105, Fargo, ND, USA","Department of Mathematics, North Dakota State University, Fargo, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Dakota State University, 58105, Fargo, ND, USA","institution_ids":["https://openalex.org/I57328836"]},{"raw_affiliation_string":"Department of Mathematics, North Dakota State University, Fargo, USA","institution_ids":["https://openalex.org/I57328836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005850192"],"corresponding_institution_ids":["https://openalex.org/I2799786008"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.12383732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"6","issue":"1","first_page":"139","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8761000037193298,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8761000037193298,"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/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.8305000066757202,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.8300999999046326,"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/clenshaw\u2013curtis-quadrature","display_name":"Clenshaw\u2013Curtis quadrature","score":0.8480133414268494},{"id":"https://openalex.org/keywords/tanh-sinh-quadrature","display_name":"Tanh-sinh quadrature","score":0.847987174987793},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.8242789506912231},{"id":"https://openalex.org/keywords/gauss\u2013jacobi-quadrature","display_name":"Gauss\u2013Jacobi quadrature","score":0.8074193000793457},{"id":"https://openalex.org/keywords/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.8000645637512207},{"id":"https://openalex.org/keywords/gauss\u2013laguerre-quadrature","display_name":"Gauss\u2013Laguerre quadrature","score":0.7728700637817383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7369533777236938},{"id":"https://openalex.org/keywords/gauss\u2013hermite-quadrature","display_name":"Gauss\u2013Hermite quadrature","score":0.6988136172294617},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.6309396624565125},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6257146596908569},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4908943772315979},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48948705196380615},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.4074517488479614},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.215023934841156},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.12362620234489441},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07103613018989563}],"concepts":[{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.8480133414268494},{"id":"https://openalex.org/C162046254","wikidata":"https://www.wikidata.org/wiki/Q7683194","display_name":"Tanh-sinh quadrature","level":5,"score":0.847987174987793},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.8242789506912231},{"id":"https://openalex.org/C54691486","wikidata":"https://www.wikidata.org/wiki/Q5527851","display_name":"Gauss\u2013Jacobi quadrature","level":5,"score":0.8074193000793457},{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.8000645637512207},{"id":"https://openalex.org/C6866599","wikidata":"https://www.wikidata.org/wiki/Q4218412","display_name":"Gauss\u2013Laguerre quadrature","level":5,"score":0.7728700637817383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7369533777236938},{"id":"https://openalex.org/C167590341","wikidata":"https://www.wikidata.org/wiki/Q5527850","display_name":"Gauss\u2013Hermite quadrature","level":5,"score":0.6988136172294617},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.6309396624565125},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6257146596908569},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4908943772315979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48948705196380615},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.4074517488479614},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.215023934841156},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.12362620234489441},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07103613018989563},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02127701","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02127701","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in 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":8,"referenced_works":["https://openalex.org/W1522854403","https://openalex.org/W2031585782","https://openalex.org/W2075484056","https://openalex.org/W2090344516","https://openalex.org/W2314359380","https://openalex.org/W2574741566","https://openalex.org/W4299112371","https://openalex.org/W6609200041"],"related_works":["https://openalex.org/W2289189603","https://openalex.org/W1661554543","https://openalex.org/W2014602125","https://openalex.org/W2317216161","https://openalex.org/W4390128132","https://openalex.org/W4389939969","https://openalex.org/W2765175526","https://openalex.org/W2148120208","https://openalex.org/W2469184508","https://openalex.org/W2012315814"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
