{"id":"https://openalex.org/W2047446281","doi":"https://doi.org/10.1007/s10444-005-7510-5","title":"Polynomial interpolation on the unit sphere II","display_name":"Polynomial interpolation on the unit sphere II","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2047446281","doi":"https://doi.org/10.1007/s10444-005-7510-5","mag":"2047446281"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-005-7510-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7510-5","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/A5008366504","display_name":"Wolfgang zu Castell","orcid":"https://orcid.org/0000-0003-2820-6564"},"institutions":[{"id":"https://openalex.org/I4210099379","display_name":"Zimmer Biomet (Germany)","ror":"https://ror.org/016731f38","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210099379","https://openalex.org/I4210115238"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Wolfgang zu Castell","raw_affiliation_strings":["Institute of Biomathematics and Biometry, GSF, National Research Center for Environment and Health, 85764, Neuherberg, Germany","GSF, National Research Center for Environment and Health"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Biomathematics and Biometry, GSF, National Research Center for Environment and Health, 85764, Neuherberg, Germany","institution_ids":["https://openalex.org/I4210099379"]},{"raw_affiliation_string":"GSF, National Research Center for Environment and Health","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034249100","display_name":"Noem\u00ed La\u00edn Fern\u00e1ndez","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099379","display_name":"Zimmer Biomet (Germany)","ror":"https://ror.org/016731f38","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210099379","https://openalex.org/I4210115238"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Noem\u00ed La\u00edn Fern\u00e1ndez","raw_affiliation_strings":["Institute of Biomathematics and Biometry, GSF, National Research Center for Environment and Health, 85764, Neuherberg, Germany","GSF, National Research Center for Environment and Health"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Biomathematics and Biometry, GSF, National Research Center for Environment and Health, 85764, Neuherberg, Germany","institution_ids":["https://openalex.org/I4210099379"]},{"raw_affiliation_string":"GSF, National Research Center for Environment and Health","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101667089","display_name":"Yuan Xu","orcid":"https://orcid.org/0000-0001-9228-3818"},"institutions":[{"id":"https://openalex.org/I181233156","display_name":"University of Oregon","ror":"https://ror.org/0293rh119","country_code":"US","type":"education","lineage":["https://openalex.org/I181233156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuan Xu","raw_affiliation_strings":["Department of Mathematics, University of Oregon, Eugene, OR, 97403-1222, USA","University of Oregon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Oregon, Eugene, OR, 97403-1222, USA","institution_ids":["https://openalex.org/I181233156"]},{"raw_affiliation_string":"University of Oregon","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008366504"],"corresponding_institution_ids":["https://openalex.org/I4210099379"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.383,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.65046315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"1-3","first_page":"155","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9984999895095825,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9941999912261963,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9882000088691711,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8562934398651123},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.7659717202186584},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6919974088668823},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6209661960601807},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6024275422096252},{"id":"https://openalex.org/keywords/great-circle","display_name":"Great circle","score":0.5993236899375916},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.573016345500946},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5363873839378357},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5108015537261963},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.5106924176216125},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.4772493839263916},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.44480711221694946},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2795754671096802},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2657313942909241},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.1853937804698944},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.14577555656433105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12052944302558899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0822502076625824},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.06744426488876343},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.051251620054244995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8562934398651123},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.7659717202186584},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6919974088668823},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6209661960601807},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6024275422096252},{"id":"https://openalex.org/C148189969","wikidata":"https://www.wikidata.org/wiki/Q146657","display_name":"Great circle","level":2,"score":0.5993236899375916},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.573016345500946},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5363873839378357},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5108015537261963},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.5106924176216125},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.4772493839263916},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.44480711221694946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2795754671096802},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2657313942909241},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.1853937804698944},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.14577555656433105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12052944302558899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0822502076625824},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.06744426488876343},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.051251620054244995},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10444-005-7510-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7510-5","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.234.6992","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.6992","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/math/0407448v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.8421","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.8421","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ibb.gsf.de/preprints/2004/pp04-16.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.72.6932","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.72.6932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ibb.gsf.de/preprints/2004/pp04-16.ps","raw_type":"text"},{"id":"pmh:oai:opus-zb.helmholtz-muenchen.de:5712","is_oa":false,"landing_page_url":"https://push-zb.helmholtz-muenchen.de/frontdoor.php?source_opus=5712","pdf_url":null,"source":{"id":"https://openalex.org/S4377196115","display_name":"Site cant be reached","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adv. Comput. Math. 26, 155-171 (2007)","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2366847","https://openalex.org/W1990056868","https://openalex.org/W1999775473","https://openalex.org/W2013934628","https://openalex.org/W2017992841","https://openalex.org/W2048973462","https://openalex.org/W2077697231","https://openalex.org/W2078197553","https://openalex.org/W2094567672","https://openalex.org/W2134984950","https://openalex.org/W2189887275","https://openalex.org/W2264065105","https://openalex.org/W2290384717","https://openalex.org/W4212961919"],"related_works":["https://openalex.org/W2801220939","https://openalex.org/W2046892672","https://openalex.org/W632984164","https://openalex.org/W67097963","https://openalex.org/W4366399493","https://openalex.org/W2155676973","https://openalex.org/W46362923","https://openalex.org/W2763237657","https://openalex.org/W51693188","https://openalex.org/W1634967540"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-27T08:26:11.824852","created_date":"2025-10-10T00:00:00"}
