{"id":"https://openalex.org/W4412820859","doi":"https://doi.org/10.1007/s10915-025-03012-x","title":"Interpolation of Scattered Data on the Sphere by Multinode Shepard Operators","display_name":"Interpolation of Scattered Data on the Sphere by Multinode Shepard Operators","publication_year":2025,"publication_date":"2025-08-01","ids":{"openalex":"https://openalex.org/W4412820859","doi":"https://doi.org/10.1007/s10915-025-03012-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-025-03012-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-03012-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03012-x.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03012-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081317887","display_name":"Francesco Dell\u2019Accio","orcid":"https://orcid.org/0000-0003-4879-894X"},"institutions":[{"id":"https://openalex.org/I45204951","display_name":"University of Calabria","ror":"https://ror.org/02rc97e94","country_code":"IT","type":"education","lineage":["https://openalex.org/I45204951"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Francesco Dell\u2019Accio","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Calabria, via P. Bucci cubo 30 A, 87036, Rende (CS), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Calabria, via P. Bucci cubo 30 A, 87036, Rende (CS), Italy","institution_ids":["https://openalex.org/I45204951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014174782","display_name":"Filomena Di Tommaso","orcid":"https://orcid.org/0000-0002-4638-2994"},"institutions":[{"id":"https://openalex.org/I45204951","display_name":"University of Calabria","ror":"https://ror.org/02rc97e94","country_code":"IT","type":"education","lineage":["https://openalex.org/I45204951"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Filomena Di Tommaso","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Calabria, via P. Bucci cubo 30 A, 87036, Rende (CS), Italy"],"raw_orcid":"https://orcid.org/0000-0002-4638-2994","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Calabria, via P. Bucci cubo 30 A, 87036, Rende (CS), Italy","institution_ids":["https://openalex.org/I45204951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081317887"],"corresponding_institution_ids":["https://openalex.org/I45204951"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23642217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"104","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9980999827384949,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7455203533172607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7331405282020569},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44348815083503723},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3819948732852936},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.15043985843658447},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11897319555282593}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7455203533172607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7331405282020569},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44348815083503723},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3819948732852936},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.15043985843658447},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11897319555282593},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-025-03012-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-03012-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03012-x.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10915-025-03012-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-03012-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03012-x.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320324136","display_name":"Universit\u00e0 della Calabria","ror":"https://ror.org/02rc97e94"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412820859.pdf","grobid_xml":"https://content.openalex.org/works/W4412820859.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W380814507","https://openalex.org/W1968956494","https://openalex.org/W1980029630","https://openalex.org/W1997704806","https://openalex.org/W2008055107","https://openalex.org/W2013934628","https://openalex.org/W2035878903","https://openalex.org/W2047446281","https://openalex.org/W2488701244","https://openalex.org/W2776888280","https://openalex.org/W2973281549","https://openalex.org/W3040313422","https://openalex.org/W3092940009","https://openalex.org/W3196266866","https://openalex.org/W4236657544","https://openalex.org/W4301973099","https://openalex.org/W4378418141","https://openalex.org/W4393476333","https://openalex.org/W4400849499"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,62],"introduce":[5],"a":[6,80],"multinode":[7,24],"Shepard":[8,25],"operator":[9],"for":[10,43,83],"interpolating":[11],"scattered":[12],"data":[13,87],"on":[14,28],"the":[15,33,50,55],"sphere.":[16],"This":[17],"method":[18,56],"combines":[19],"local":[20],"polynomial":[21],"interpolants":[22],"with":[23],"functions":[26],"based":[27],"geodesic":[29],"distances.":[30],"We":[31],"analyze":[32],"operator\u2019s":[34],"approximation":[35],"properties":[36],"and":[37,52],"convergence":[38],"behavior,":[39],"providing":[40],"error":[41],"bounds":[42],"smooth":[44],"target":[45],"functions.":[46],"Numerical":[47],"experiments":[48],"confirm":[49],"accuracy":[51],"efficiency":[53],"of":[54],"in":[57,71],"various":[58],"test":[59],"scenarios.":[60],"Additionally,":[61],"apply":[63],"it":[64],"to":[65],"real-world":[66],"data,":[67],"demonstrating":[68],"its":[69],"effectiveness":[70],"predicting":[72],"monthly":[73],"mean":[74],"temperatures.":[75],"The":[76],"proposed":[77],"approach":[78],"offers":[79],"reliable":[81],"tool":[82],"applications":[84],"requiring":[85],"spherical":[86],"interpolation.":[88]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}