{"id":"https://openalex.org/W935713995","doi":"https://doi.org/10.1007/s11075-015-0011-9","title":"Highly effective stable evaluation of bandlimited functions on the sphere","display_name":"Highly effective stable evaluation of bandlimited functions on the sphere","publication_year":2015,"publication_date":"2015-06-05","ids":{"openalex":"https://openalex.org/W935713995","doi":"https://doi.org/10.1007/s11075-015-0011-9","mag":"935713995"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-015-0011-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-0011-9","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":["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 G. 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 P. 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":0.2177,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57350407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"71","issue":"3","first_page":"585","last_page":"611"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991999864578247,"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":0.9991999864578247,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9857000112533569,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/unit-sphere","display_name":"Unit sphere","score":0.8251842260360718},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7452019453048706},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.7023699879646301},{"id":"https://openalex.org/keywords/zonal-spherical-harmonics","display_name":"Zonal spherical harmonics","score":0.6587762236595154},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.6006677150726318},{"id":"https://openalex.org/keywords/fuzzy-sphere","display_name":"Fuzzy sphere","score":0.5680014491081238},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5591675639152527},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5424841046333313},{"id":"https://openalex.org/keywords/vector-spherical-harmonics","display_name":"Vector spherical harmonics","score":0.5316539406776428},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5212358236312866},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5137423276901245},{"id":"https://openalex.org/keywords/spherical-trigonometry","display_name":"Spherical trigonometry","score":0.4807460308074951},{"id":"https://openalex.org/keywords/spin-weighted-spherical-harmonics","display_name":"Spin-weighted spherical harmonics","score":0.4777454733848572},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4491073489189148},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4282931983470917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41181156039237976},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38191449642181396},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.2948286533355713},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22206437587738037},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20341914892196655}],"concepts":[{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.8251842260360718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7452019453048706},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.7023699879646301},{"id":"https://openalex.org/C39176672","wikidata":"https://www.wikidata.org/wiki/Q8073864","display_name":"Zonal spherical harmonics","level":4,"score":0.6587762236595154},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.6006677150726318},{"id":"https://openalex.org/C104682228","wikidata":"https://www.wikidata.org/wiki/Q5511135","display_name":"Fuzzy sphere","level":3,"score":0.5680014491081238},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5591675639152527},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5424841046333313},{"id":"https://openalex.org/C77237485","wikidata":"https://www.wikidata.org/wiki/Q7917842","display_name":"Vector spherical harmonics","level":3,"score":0.5316539406776428},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5212358236312866},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5137423276901245},{"id":"https://openalex.org/C184551148","wikidata":"https://www.wikidata.org/wiki/Q46463","display_name":"Spherical trigonometry","level":2,"score":0.4807460308074951},{"id":"https://openalex.org/C20569695","wikidata":"https://www.wikidata.org/wiki/Q7577353","display_name":"Spin-weighted spherical harmonics","level":4,"score":0.4777454733848572},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4491073489189148},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4282931983470917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41181156039237976},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38191449642181396},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.2948286533355713},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22206437587738037},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20341914892196655},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-015-0011-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-0011-9","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G2927370311","display_name":null,"funder_award_id":"DMS-1211528","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1963647879","https://openalex.org/W1967374108","https://openalex.org/W1977486037","https://openalex.org/W1979261054","https://openalex.org/W1997096414","https://openalex.org/W2010122118","https://openalex.org/W2030139351","https://openalex.org/W2036020147","https://openalex.org/W2036123247","https://openalex.org/W2045145094","https://openalex.org/W2049880347","https://openalex.org/W2063771731","https://openalex.org/W2065481426","https://openalex.org/W2078806665","https://openalex.org/W2115770043","https://openalex.org/W2131768055","https://openalex.org/W2160615084","https://openalex.org/W2322549779","https://openalex.org/W2569750427","https://openalex.org/W2798987218","https://openalex.org/W4233363368"],"related_works":["https://openalex.org/W2611466209","https://openalex.org/W4236552159","https://openalex.org/W4312842820","https://openalex.org/W651704880","https://openalex.org/W2103011624","https://openalex.org/W2060170052","https://openalex.org/W4235358950","https://openalex.org/W2064389268","https://openalex.org/W2089727948","https://openalex.org/W1972009849"],"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}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
