{"id":"https://openalex.org/W4398189202","doi":"https://doi.org/10.34768/amcs-2022-0034","title":"RBF based quadrature on the sphere","display_name":"RBF based quadrature on the sphere","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4398189202","doi":"https://doi.org/10.34768/amcs-2022-0034"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2022-0034","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2022-0034","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.34768/amcs-2022-0034","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113710541","display_name":"Manuel Kindel\u00e1n","orcid":null},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"funder","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Manuel Kindelan","raw_affiliation_strings":["Department of Mathematics, Carlos III University of Madrid"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carlos III University of Madrid","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016186815","display_name":"Pedro Gonz\u00e1lez-Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-1378-273X"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"funder","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Gonz\u00e1lez-Rodr\u00edguez","raw_affiliation_strings":["Department of Mathematics, Carlos III University of Madrid"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carlos III University of Madrid","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091787831","display_name":"Diego \u00c1lvarez","orcid":"https://orcid.org/0000-0002-3712-2461"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"funder","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Diego \u00c1lvarez","raw_affiliation_strings":["Department of Mathematics, Carlos III University of Madrid"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carlos III University of Madrid","institution_ids":["https://openalex.org/I50357001"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113710541"],"corresponding_institution_ids":["https://openalex.org/I50357001"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":59},"biblio":{"volume":"32","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9111,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9111,"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/rectangle","display_name":"Rectangle","score":0.6956755},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6086252},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation","score":0.5144418}],"concepts":[{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.6956755},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.64770746},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6086252},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.58675295},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5326027},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5144418},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49516216},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47280827},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41709596},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3844661},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21006045},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20932382},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10345423},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.067775875},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.062945664},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2022-0034","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2022-0034","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/af3b20760f51489e90c66ebc763c8657","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2022-0034","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2022-0034","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":11,"referenced_works":["https://openalex.org/W1991566405","https://openalex.org/W2013811797","https://openalex.org/W2028169986","https://openalex.org/W2037512470","https://openalex.org/W2084196626","https://openalex.org/W2096608892","https://openalex.org/W2098032032","https://openalex.org/W2289542516","https://openalex.org/W2527915679","https://openalex.org/W4243942661","https://openalex.org/W98908446"],"related_works":["https://openalex.org/W4244945894","https://openalex.org/W4224881918","https://openalex.org/W2802042052","https://openalex.org/W2321986606","https://openalex.org/W2242098268","https://openalex.org/W2059098648","https://openalex.org/W2012324080","https://openalex.org/W2003462717","https://openalex.org/W1987609185","https://openalex.org/W174828583"],"abstract_inverted_index":{"The":[0,41],"paper":[1],"describes":[2],"a":[3,77,93,97],"new":[4,78],"RBF-FD":[5],"based":[6,54],"technique":[7],"to":[8,45,52,67,80],"compute":[9],"quadrature":[10],"weights":[11],"on":[12,55],"the":[13,16,19,26,31,61,89,109,112],"sphere.":[14],"In":[15],"proposed":[17,62],"method,":[18],"sphere":[20],"is":[21,33,43,50,64,92],"divided":[22],"into":[23],"rectangles":[24],"in":[25,83,88],"latitude-azimuth":[27],"coordinate":[28],"system,":[29],"and":[30,47],"function":[32],"integrated":[34],"over":[35],"each":[36],"rectangle":[37],"using":[38,106],"RBF":[39],"interpolation.":[40],"method":[42,63,113],"easy":[44],"implement":[46],"its":[48,65],"accuracy":[49,110],"comparable":[51],"that":[53],"SPH":[56],"expansions.":[57],"One":[58],"advantage":[59],"of":[60,85,100,111],"ability":[66],"handle":[68],"non-uniform":[69,98],"node":[70,107],"distributions.":[71],"On":[72],"this":[73],"respect,":[74],"we":[75],"propose":[76],"algorithm":[79,95],"cluster":[81],"nodes":[82],"regions":[84],"steep":[86],"changes":[87],"function.":[90],"It":[91],"repulsion-based":[94],"with":[96],"distribution":[99],"electrical":[101],"charges.":[102],"We":[103],"show":[104],"that,":[105],"clustering,":[108],"can":[114],"be":[115],"significantly":[116],"improved.":[117]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4398189202","counts_by_year":[],"updated_date":"2025-03-07T00:36:27.885208","created_date":"2024-05-22"}