{"id":"https://openalex.org/W2036020147","doi":"https://doi.org/10.1007/s10444-014-9354-3","title":"Fast memory efficient evaluation of spherical polynomials at scattered points","display_name":"Fast memory efficient evaluation of spherical polynomials at scattered points","publication_year":2014,"publication_date":"2014-05-30","ids":{"openalex":"https://openalex.org/W2036020147","doi":"https://doi.org/10.1007/s10444-014-9354-3","mag":"2036020147"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-014-9354-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-014-9354-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5057460223","display_name":"Kamen G. Ivanov","orcid":"https://orcid.org/0000-0002-3194-0674"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Kamen Ivanov","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria","Institute of Mathematics and Informatics Bulgarian Academy of Sciences,Sofia,Bulgaria,1113"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics Bulgarian Academy of Sciences,Sofia,Bulgaria,1113","institution_ids":["https://openalex.org/I4210105926","https://openalex.org/I24768866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028081309","display_name":"Pencho Petrushev","orcid":"https://orcid.org/0000-0003-2551-2996"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pencho Petrushev","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","Department of Mathematics, University of South Carolina, Columbia, USA 29208#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, USA 29208#TAB#","institution_ids":["https://openalex.org/I155781252"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028081309"],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.872,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.74310628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"41","issue":"1","first_page":"191","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"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/T10514","display_name":"Numerical methods in engineering","score":0.9947999715805054,"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/spherical-harmonics","display_name":"Spherical harmonics","score":0.8952970504760742},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.7589601278305054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.668057918548584},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5894615650177002},{"id":"https://openalex.org/keywords/zonal-spherical-harmonics","display_name":"Zonal spherical harmonics","score":0.5808346271514893},{"id":"https://openalex.org/keywords/spin-weighted-spherical-harmonics","display_name":"Spin-weighted spherical harmonics","score":0.5468553900718689},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5186473727226257},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41503775119781494},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3974009156227112},{"id":"https://openalex.org/keywords/vector-spherical-harmonics","display_name":"Vector spherical harmonics","score":0.34647417068481445},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.31875061988830566},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.2633849084377289},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09510132670402527}],"concepts":[{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.8952970504760742},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.7589601278305054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.668057918548584},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5894615650177002},{"id":"https://openalex.org/C39176672","wikidata":"https://www.wikidata.org/wiki/Q8073864","display_name":"Zonal spherical harmonics","level":4,"score":0.5808346271514893},{"id":"https://openalex.org/C20569695","wikidata":"https://www.wikidata.org/wiki/Q7577353","display_name":"Spin-weighted spherical harmonics","level":4,"score":0.5468553900718689},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5186473727226257},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41503775119781494},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3974009156227112},{"id":"https://openalex.org/C77237485","wikidata":"https://www.wikidata.org/wiki/Q7917842","display_name":"Vector spherical harmonics","level":3,"score":0.34647417068481445},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31875061988830566},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.2633849084377289},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09510132670402527},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-014-9354-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-014-9354-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.523.1633","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.523.1633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.sc.edu/~pencho/Publications/KP-8-6-09-web.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W629836974","https://openalex.org/W1963647879","https://openalex.org/W1967374108","https://openalex.org/W1971099220","https://openalex.org/W1977486037","https://openalex.org/W1977949171","https://openalex.org/W1986301155","https://openalex.org/W1989334447","https://openalex.org/W1993358632","https://openalex.org/W2003115626","https://openalex.org/W2010122118","https://openalex.org/W2025402290","https://openalex.org/W2029388807","https://openalex.org/W2046316701","https://openalex.org/W2049880347","https://openalex.org/W2056839686","https://openalex.org/W2078806665","https://openalex.org/W2082108265","https://openalex.org/W2115770043","https://openalex.org/W2122146619","https://openalex.org/W2160615084","https://openalex.org/W2312595687","https://openalex.org/W2569750427","https://openalex.org/W3038165843","https://openalex.org/W4205354563","https://openalex.org/W4233363368","https://openalex.org/W4241351576"],"related_works":["https://openalex.org/W4239999982","https://openalex.org/W2122307093","https://openalex.org/W4313065247","https://openalex.org/W2011653182","https://openalex.org/W4312647289","https://openalex.org/W4236552159","https://openalex.org/W2611466209","https://openalex.org/W4312842820","https://openalex.org/W2991285199","https://openalex.org/W2171909906"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}