{"id":"https://openalex.org/W7167472244","doi":"https://doi.org/10.1016/j.matcom.2026.07.006","title":"Radial basis function partition of unity methods for scattered data interpolation: A review","display_name":"Radial basis function partition of unity methods for scattered data interpolation: A review","publication_year":2026,"publication_date":"2026-07-06","ids":{"openalex":"https://openalex.org/W7167472244","doi":"https://doi.org/10.1016/j.matcom.2026.07.006"},"language":"en","primary_location":{"id":"doi:10.1016/j.matcom.2026.07.006","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.07.006","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","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/A5053041658","display_name":"Roberto Cavoretto","orcid":"https://orcid.org/0000-0001-6076-4115"},"institutions":[{"id":"https://openalex.org/I1330701686","display_name":"Collegio Carlo Alberto","ror":"https://ror.org/0397knh37","country_code":"IT","type":"education","lineage":["https://openalex.org/I1330701686"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Cavoretto","raw_affiliation_strings":["Department of Mathematics \u201cGiuseppe Peano\u201d, University of Torino, via Carlo Alberto 10, 10123 Torino, Italy"],"raw_orcid":"https://orcid.org/0000-0001-6076-4115","affiliations":[{"raw_affiliation_string":"Department of Mathematics \u201cGiuseppe Peano\u201d, University of Torino, via Carlo Alberto 10, 10123 Torino, Italy","institution_ids":["https://openalex.org/I1330701686"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001182701","display_name":"Alessandra De Rossi","orcid":"https://orcid.org/0000-0003-1285-3820"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alessandra De Rossi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1285-3820","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001182701"],"corresponding_institution_ids":[],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.84623305,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"250","issue":null,"first_page":"376","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.8723999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.8723999857902527,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.018699999898672104,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.010099999606609344,"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/radial-basis-function","display_name":"Radial basis function","score":0.6277999877929688},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.42170000076293945},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.41670000553131104},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41130000352859497},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.3797999918460846},{"id":"https://openalex.org/keywords/radial-function","display_name":"Radial function","score":0.2937000095844269}],"concepts":[{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.6277999877929688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.554099977016449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45910000801086426},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.42170000076293945},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.41670000553131104},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41130000352859497},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38530001044273376},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2955000102519989},{"id":"https://openalex.org/C80269521","wikidata":"https://www.wikidata.org/wiki/Q7280269","display_name":"Radial function","level":2,"score":0.2937000095844269},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2671999931335449},{"id":"https://openalex.org/C102205669","wikidata":"https://www.wikidata.org/wiki/Q191690","display_name":"Partition of unity","level":3,"score":0.26589998602867126},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.2554999887943268}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.matcom.2026.07.006","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.07.006","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324041","display_name":"Universit\u00e0 degli Studi di Torino","ror":"https://ror.org/048tbm396"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":102,"referenced_works":["https://openalex.org/W35322266","https://openalex.org/W42253513","https://openalex.org/W1491885755","https://openalex.org/W1595182422","https://openalex.org/W1920878674","https://openalex.org/W1960418590","https://openalex.org/W1968914434","https://openalex.org/W1974322848","https://openalex.org/W1974457476","https://openalex.org/W1978352654","https://openalex.org/W1980387166","https://openalex.org/W1988744163","https://openalex.org/W1988793248","https://openalex.org/W1995124881","https://openalex.org/W1997704806","https://openalex.org/W2001935201","https://openalex.org/W2004660446","https://openalex.org/W2004797340","https://openalex.org/W2012197334","https://openalex.org/W2018039791","https://openalex.org/W2018611897","https://openalex.org/W2024000425","https://openalex.org/W2027828864","https://openalex.org/W2029240087","https://openalex.org/W2044309282","https://openalex.org/W2053446076","https://openalex.org/W2069016826","https://openalex.org/W2076577157","https://openalex.org/W2080591910","https://openalex.org/W2081680420","https://openalex.org/W2090536661","https://openalex.org/W2092011174","https://openalex.org/W2094886643","https://openalex.org/W2095769364","https://openalex.org/W2161591817","https://openalex.org/W2165558283","https://openalex.org/W2171553643","https://openalex.org/W2172761354","https://openalex.org/W2336396212","https://openalex.org/W2603354525","https://openalex.org/W2605618841","https://openalex.org/W2625275472","https://openalex.org/W2750658178","https://openalex.org/W2768253136","https://openalex.org/W2782881869","https://openalex.org/W2883521284","https://openalex.org/W2897158392","https://openalex.org/W2900178975","https://openalex.org/W2950472481","https://openalex.org/W2962797114","https://openalex.org/W2963958490","https://openalex.org/W2982584163","https://openalex.org/W2982751769","https://openalex.org/W3007244946","https://openalex.org/W3013792717","https://openalex.org/W3031488332","https://openalex.org/W3040746141","https://openalex.org/W3087241134","https://openalex.org/W3112514675","https://openalex.org/W3118760639","https://openalex.org/W3138194578","https://openalex.org/W3167647314","https://openalex.org/W3185406869","https://openalex.org/W3201690955","https://openalex.org/W3204852952","https://openalex.org/W4226109954","https://openalex.org/W4233951297","https://openalex.org/W4244829582","https://openalex.org/W4289745762","https://openalex.org/W4297989959","https://openalex.org/W4301180262","https://openalex.org/W4317000427","https://openalex.org/W4319773495","https://openalex.org/W4323305004","https://openalex.org/W4380077140","https://openalex.org/W4380739650","https://openalex.org/W4382060004","https://openalex.org/W4382560069","https://openalex.org/W4385633430","https://openalex.org/W4389166146","https://openalex.org/W4389705868","https://openalex.org/W4390108286","https://openalex.org/W4391151970","https://openalex.org/W4391774765","https://openalex.org/W4393965264","https://openalex.org/W4399588937","https://openalex.org/W4399914180","https://openalex.org/W4400412838","https://openalex.org/W4405897434","https://openalex.org/W4406236440","https://openalex.org/W4407870419","https://openalex.org/W4409341433","https://openalex.org/W4410325502","https://openalex.org/W4411990153","https://openalex.org/W4412820859","https://openalex.org/W4413388779","https://openalex.org/W4413887787","https://openalex.org/W4414978020","https://openalex.org/W7083837010","https://openalex.org/W7092204870","https://openalex.org/W7129086899","https://openalex.org/W7130642492"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-09T05:49:46.723101","created_date":"2026-07-07T00:00:00"}
