{"id":"https://openalex.org/W2098548175","doi":"https://doi.org/10.1007/s00607-005-0137-z","title":"A Numerical Study of the Xu Polynomial Interpolation Formula in Two Variables","display_name":"A Numerical Study of the Xu Polynomial Interpolation Formula in Two Variables","publication_year":2005,"publication_date":"2005-11-03","ids":{"openalex":"https://openalex.org/W2098548175","doi":"https://doi.org/10.1007/s00607-005-0137-z","mag":"2098548175"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-005-0137-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-005-0137-z","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5062385165","display_name":"Len Bos","orcid":"https://orcid.org/0009-0006-7404-6716"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"L. Bos","raw_affiliation_strings":["2500 University Drive NW, Calgary, Alberta, T2N1N4, Canada","2500 University Drive NW, T2N1N4, Calgary, Alberta, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"2500 University Drive NW, Calgary, Alberta, T2N1N4, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"2500 University Drive NW, T2N1N4, Calgary, Alberta, Canada#TAB#","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025544508","display_name":"Marco Caliari","orcid":"https://orcid.org/0000-0002-1277-069X"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Caliari","raw_affiliation_strings":["Dept. of Computer Science, University of Verona, 37129, Verona, Italy","Dept. of Computer Science, University of Verona, 2500 University Drive NW, 37129, Verona, Alberta, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Verona, 37129, Verona, Italy","institution_ids":["https://openalex.org/I119439378"]},{"raw_affiliation_string":"Dept. of Computer Science, University of Verona, 2500 University Drive NW, 37129, Verona, Alberta, Italy#TAB#","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026527736","display_name":"Stefano De March\u0131","orcid":"https://orcid.org/0000-0002-2832-8476"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. De Marchi","raw_affiliation_strings":["Dept. of Computer Science, University of Verona, 37129, Verona, Italy","Dept. of Computer Science, University of Verona, 2500 University Drive NW, 37129, Verona, Alberta, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Verona, 37129, Verona, Italy","institution_ids":["https://openalex.org/I119439378"]},{"raw_affiliation_string":"Dept. of Computer Science, University of Verona, 2500 University Drive NW, 37129, Verona, Alberta, Italy#TAB#","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082103769","display_name":"Michelangelo Vianello","orcid":"https://orcid.org/0000-0002-1530-1469"},"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":"M. Vianello","raw_affiliation_strings":["Dept. of Pure and Applied Mathematics, University of Padova, 35122, Padova, Italy","Dept. of Pure and Applied Mathematics, University of Padova, 2500 University Drive NW, 35122, Padova, Alberta, Italy#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Pure and Applied Mathematics, University of Padova, 35122, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dept. of Pure and Applied Mathematics, University of Padova, 2500 University Drive NW, 35122, Padova, Alberta, Italy#TAB#","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062385165"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.7016,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.95247166,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"76","issue":"3-4","first_page":"311","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9993000030517578,"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":0.9993000030517578,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7926335334777832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7902231216430664},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.7560120820999146},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.7475601434707642},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.7150660157203674},{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"Trigonometric interpolation","score":0.6644879579544067},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.5586651563644409},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4984910488128662},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4897336959838867},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.4655955731868744},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.45471832156181335},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.43704456090927124},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.41912591457366943},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41894787549972534},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4099472761154175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09314841032028198}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7926335334777832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7902231216430664},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.7560120820999146},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.7475601434707642},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.7150660157203674},{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.6644879579544067},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.5586651563644409},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4984910488128662},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4897336959838867},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.4655955731868744},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.45471832156181335},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.43704456090927124},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41912591457366943},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41894787549972534},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4099472761154175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09314841032028198},{"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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00607-005-0137-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-005-0137-z","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/1566052","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/1566052","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","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":[{"id":"https://openalex.org/F4320321966","display_name":"Universit\u00e0 degli Studi di Padova","ror":"https://ror.org/00240q980"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1994109834","https://openalex.org/W1997245285","https://openalex.org/W1999632616","https://openalex.org/W2045932400","https://openalex.org/W2046146039","https://openalex.org/W2057202540","https://openalex.org/W2072320069","https://openalex.org/W2085066401","https://openalex.org/W2109990880","https://openalex.org/W2259533957","https://openalex.org/W2264065105","https://openalex.org/W2290384717","https://openalex.org/W2314815589","https://openalex.org/W2316418224","https://openalex.org/W3046534683","https://openalex.org/W4236478587","https://openalex.org/W4301973099"],"related_works":["https://openalex.org/W2354378723","https://openalex.org/W2488705107","https://openalex.org/W4386512906","https://openalex.org/W2371738094","https://openalex.org/W2095590199","https://openalex.org/W2374545223","https://openalex.org/W2098548175","https://openalex.org/W3118822864","https://openalex.org/W3174505125","https://openalex.org/W2088701123"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
