{"id":"https://openalex.org/W2982031471","doi":"https://doi.org/10.1007/s11075-020-00989-4","title":"Weighted quasi-interpolant spline approximations: Properties and applications","display_name":"Weighted quasi-interpolant spline approximations: Properties and applications","publication_year":2020,"publication_date":"2020-08-25","ids":{"openalex":"https://openalex.org/W2982031471","doi":"https://doi.org/10.1007/s11075-020-00989-4","mag":"2982031471"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-00989-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-00989-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.11826","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055762214","display_name":"Andrea Raffo","orcid":"https://orcid.org/0000-0003-3559-0533"},"institutions":[{"id":"https://openalex.org/I173888879","display_name":"SINTEF","ror":"https://ror.org/01f677e56","country_code":"NO","type":"facility","lineage":["https://openalex.org/I173888879"]},{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]},{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}],"countries":["IT","NO"],"is_corresponding":true,"raw_author_name":"Andrea Raffo","raw_affiliation_strings":["Department of Mathematics and Cybernetics, SINTEF, Oslo, Norway","Department of Mathematics, University of Oslo, Oslo, Norway","Istituto di Matematica Applicata e Tecnologie Informatiche \u201cE. Magenes\u201d, Consiglio Nazionale delle Ricerche, Genoa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Cybernetics, SINTEF, Oslo, Norway","institution_ids":["https://openalex.org/I173888879"]},{"raw_affiliation_string":"Department of Mathematics, University of Oslo, Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]},{"raw_affiliation_string":"Istituto di Matematica Applicata e Tecnologie Informatiche \u201cE. Magenes\u201d, Consiglio Nazionale delle Ricerche, Genoa, Italy","institution_ids":["https://openalex.org/I4210137033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025286783","display_name":"Silvia Biasotti","orcid":"https://orcid.org/0000-0002-9992-825X"},"institutions":[{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvia Biasotti","raw_affiliation_strings":["Istituto di Matematica Applicata e Tecnologie Informatiche \u201cE. Magenes\u201d, Consiglio Nazionale delle Ricerche, Genoa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9992-825X","affiliations":[{"raw_affiliation_string":"Istituto di Matematica Applicata e Tecnologie Informatiche \u201cE. Magenes\u201d, Consiglio Nazionale delle Ricerche, Genoa, Italy","institution_ids":["https://openalex.org/I4210137033"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025286783","https://openalex.org/A5055762214"],"corresponding_institution_ids":["https://openalex.org/I173888879","https://openalex.org/I184942183","https://openalex.org/I4210137033"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3499,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.50991533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"87","issue":"2","first_page":"819","last_page":"847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/mathematics","display_name":"Mathematics","score":0.6589005589485168},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5847818851470947},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.551461935043335},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.5478141903877258},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5441776514053345},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.528988242149353},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4746611416339874},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.46549519896507263},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.452961266040802},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4384867548942566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43520355224609375},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4253446161746979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2787955105304718},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22413358092308044},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1213555634021759}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6589005589485168},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5847818851470947},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.551461935043335},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.5478141903877258},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5441776514053345},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.528988242149353},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4746611416339874},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.46549519896507263},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.452961266040802},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4384867548942566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43520355224609375},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4253446161746979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2787955105304718},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22413358092308044},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1213555634021759},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11075-020-00989-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-00989-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1910.11826","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.11826","pdf_url":"https://arxiv.org/pdf/1910.11826","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"},{"id":"pmh:oai:www.duo.uio.no:10852/84835","is_oa":true,"landing_page_url":"http://hdl.handle.net/10852/84835","pdf_url":"http://urn.nb.no/URN:NBN:no-87610","source":{"id":"https://openalex.org/S4306401717","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1017-1398","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:sintef.brage.unit.no:11250/2986215","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2986215","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"819\u2013847","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:sintef.brage.unit.no:11250/3066483","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/3066483","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"819-847","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.11826","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.11826","pdf_url":"https://arxiv.org/pdf/1910.11826","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":[{"id":"https://metadata.un.org/sdg/13","score":0.5400000214576721,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G5106393497","display_name":"Algebraic Representations in Computer-Aided Design for complEx Shapes","funder_award_id":"675789","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6870533126","display_name":null,"funder_award_id":"2014-2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8187831488","display_name":null,"funder_award_id":"RLOF18ASSRIC/68/1","funder_id":"https://openalex.org/F4320326077","funder_display_name":"Regione Liguria"},{"id":"https://openalex.org/G8739409497","display_name":"Algebraic Representations in Computer-Aided Design for complEx Shapes","funder_award_id":"675789","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320326077","display_name":"Regione Liguria","ror":null},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W125426470","https://openalex.org/W213475760","https://openalex.org/W592911714","https://openalex.org/W1178281650","https://openalex.org/W1480376833","https://openalex.org/W1548879090","https://openalex.org/W1554944419","https://openalex.org/W1597405158","https://openalex.org/W1615836229","https://openalex.org/W1633071293","https://openalex.org/W1909740415","https://openalex.org/W1912497050","https://openalex.org/W1971421162","https://openalex.org/W1977758817","https://openalex.org/W1982745776","https://openalex.org/W1997449464","https://openalex.org/W1998386186","https://openalex.org/W2000425991","https://openalex.org/W2003515735","https://openalex.org/W2006418447","https://openalex.org/W2012872092","https://openalex.org/W2023606182","https://openalex.org/W2024668293","https://openalex.org/W2032208921","https://openalex.org/W2033678678","https://openalex.org/W2034966370","https://openalex.org/W2036242265","https://openalex.org/W2036463286","https://openalex.org/W2038233234","https://openalex.org/W2051781990","https://openalex.org/W2061827904","https://openalex.org/W2068434577","https://openalex.org/W2090779038","https://openalex.org/W2093607296","https://openalex.org/W2095069333","https://openalex.org/W2099953968","https://openalex.org/W2123090765","https://openalex.org/W2145023731","https://openalex.org/W2170167721","https://openalex.org/W2171033594","https://openalex.org/W2275397232","https://openalex.org/W2529554869","https://openalex.org/W2556525668","https://openalex.org/W2598540729","https://openalex.org/W2602861998","https://openalex.org/W2724111113","https://openalex.org/W2731763096","https://openalex.org/W2747684111","https://openalex.org/W2749749166","https://openalex.org/W2884456903","https://openalex.org/W2884642675","https://openalex.org/W2909943067","https://openalex.org/W2949293156","https://openalex.org/W2959793377","https://openalex.org/W2998100778","https://openalex.org/W3003230857","https://openalex.org/W3020107138","https://openalex.org/W3039411744","https://openalex.org/W3046061808","https://openalex.org/W3098972977","https://openalex.org/W4230104359","https://openalex.org/W4238247487","https://openalex.org/W4249019869","https://openalex.org/W4250533120","https://openalex.org/W4253011043","https://openalex.org/W4298304654","https://openalex.org/W4300958603"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W2793786119","https://openalex.org/W1507702947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-08T08:33:18.762332","created_date":"2025-10-10T00:00:00"}