{"id":"https://openalex.org/W2056493577","doi":"https://doi.org/10.1007/s10208-011-9113-5","title":"Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation","display_name":"Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation","publication_year":2012,"publication_date":"2012-01-13","ids":{"openalex":"https://openalex.org/W2056493577","doi":"https://doi.org/10.1007/s10208-011-9113-5","mag":"2056493577"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-011-9113-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-011-9113-5","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/1012.4852","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004803470","display_name":"Thomas Hangelbroek","orcid":null},"institutions":[{"id":"https://openalex.org/I1331384533","display_name":"University of Hawaii System","ror":"https://ror.org/03tzaeb71","country_code":"US","type":"education","lineage":["https://openalex.org/I1331384533"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T. Hangelbroek","raw_affiliation_strings":["Department of Mathematics, University of Hawaii, Honolulu, HI, 96822, USA","Department of Mathematics, University of Hawaii, Honolulu, USA 96822#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hawaii, Honolulu, HI, 96822, USA","institution_ids":["https://openalex.org/I1331384533"]},{"raw_affiliation_string":"Department of Mathematics, University of Hawaii, Honolulu, USA 96822#TAB#","institution_ids":["https://openalex.org/I1331384533"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109431517","display_name":"F. J. Narcowich","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. J. Narcowich","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","Department of Mathematics, Texas A&M University, College Station, USA 77843#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, USA 77843#TAB#","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103352171","display_name":"J. D. Ward","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. D. Ward","raw_affiliation_strings":["Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","Department of Mathematics, Texas A&M University, College Station, USA 77843#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics, Texas A&M University, College Station, USA 77843#TAB#","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004803470"],"corresponding_institution_ids":["https://openalex.org/I1331384533"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.1478,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.91142074,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":"5","first_page":"625","last_page":"670"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9983999729156494,"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":0.9983999729156494,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9972000122070312,"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/T10514","display_name":"Numerical methods in engineering","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8716899752616882},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.516442060470581},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4754219353199005},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.4728161096572876},{"id":"https://openalex.org/keywords/constant-curvature","display_name":"Constant curvature","score":0.4706370532512665},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.461164653301239},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4215485751628876},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33650776743888855},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2042606770992279},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.15970176458358765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8716899752616882},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.516442060470581},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4754219353199005},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.4728161096572876},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.4706370532512665},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.461164653301239},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4215485751628876},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33650776743888855},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2042606770992279},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.15970176458358765},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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":2,"locations":[{"id":"doi:10.1007/s10208-011-9113-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-011-9113-5","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:1012.4852","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1012.4852","pdf_url":"https://arxiv.org/pdf/1012.4852","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1012.4852","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1012.4852","pdf_url":"https://arxiv.org/pdf/1012.4852","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W162854683","https://openalex.org/W166906646","https://openalex.org/W311724416","https://openalex.org/W1487335813","https://openalex.org/W1492326914","https://openalex.org/W1517905458","https://openalex.org/W1527329021","https://openalex.org/W1586028618","https://openalex.org/W1594572592","https://openalex.org/W1973292984","https://openalex.org/W1973878509","https://openalex.org/W1980450508","https://openalex.org/W1987494120","https://openalex.org/W1988473367","https://openalex.org/W1988955873","https://openalex.org/W2004422407","https://openalex.org/W2017142556","https://openalex.org/W2023656248","https://openalex.org/W2040174553","https://openalex.org/W2052272109","https://openalex.org/W2055940788","https://openalex.org/W2068162883","https://openalex.org/W2081614902","https://openalex.org/W2088738515","https://openalex.org/W2107593619","https://openalex.org/W2109565734","https://openalex.org/W2130859329","https://openalex.org/W2161591817","https://openalex.org/W2799015047","https://openalex.org/W3003520087","https://openalex.org/W3038420293","https://openalex.org/W3098144539","https://openalex.org/W3098187598","https://openalex.org/W3104929861","https://openalex.org/W3106701803","https://openalex.org/W3204708751","https://openalex.org/W4205354563","https://openalex.org/W4206033904","https://openalex.org/W4230880638","https://openalex.org/W4231273064","https://openalex.org/W4240240566","https://openalex.org/W4249779810","https://openalex.org/W4298918440","https://openalex.org/W4388321579"],"related_works":["https://openalex.org/W4252222695","https://openalex.org/W2972919969","https://openalex.org/W4388322895","https://openalex.org/W4210956211","https://openalex.org/W2792950946","https://openalex.org/W2026285807","https://openalex.org/W1993171570","https://openalex.org/W2067298860","https://openalex.org/W4234347585","https://openalex.org/W1580579642"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}