{"id":"https://openalex.org/W2767502902","doi":"https://doi.org/10.1007/s10444-017-9569-1","title":"Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids","display_name":"Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids","publication_year":2017,"publication_date":"2017-11-08","ids":{"openalex":"https://openalex.org/W2767502902","doi":"https://doi.org/10.1007/s10444-017-9569-1","mag":"2767502902"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-017-9569-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-017-9569-1","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/A5100696804","display_name":"Bo Wang","orcid":"https://orcid.org/0000-0001-9199-0799"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN","SG"],"is_corresponding":true,"raw_author_name":"Bo Wang","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112395743","display_name":"Li-Lian Wang","orcid":"https://orcid.org/0000-0002-2735-9019"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Li-Lian Wang","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110405587","display_name":"Ziqing Xie","orcid":"https://orcid.org/0000-0001-9372-7011"},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqing Xie","raw_affiliation_strings":["Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173759888"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100696804"],"corresponding_institution_ids":["https://openalex.org/I172675005","https://openalex.org/I173759888"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0977,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.79088522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"44","issue":"3","first_page":"951","last_page":"985"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9976999759674072,"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":0.9976999759674072,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9976000189781189,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.7859054803848267},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7207621335983276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6259073615074158},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6116322875022888},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.6029290556907654},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5312355160713196},{"id":"https://openalex.org/keywords/vector-spherical-harmonics","display_name":"Vector spherical harmonics","score":0.5218154788017273},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.45380523800849915},{"id":"https://openalex.org/keywords/spherical-geometry","display_name":"Spherical geometry","score":0.4133337736129761},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.338415265083313},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3245754837989807},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1882474720478058},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1664896309375763}],"concepts":[{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.7859054803848267},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7207621335983276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6259073615074158},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6116322875022888},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.6029290556907654},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5312355160713196},{"id":"https://openalex.org/C77237485","wikidata":"https://www.wikidata.org/wiki/Q7917842","display_name":"Vector spherical harmonics","level":3,"score":0.5218154788017273},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45380523800849915},{"id":"https://openalex.org/C77730005","wikidata":"https://www.wikidata.org/wiki/Q326905","display_name":"Spherical geometry","level":2,"score":0.4133337736129761},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.338415265083313},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3245754837989807},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1882474720478058},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1664896309375763},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-017-9569-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-017-9569-1","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:dr.ntu.edu.sg:10356/143700","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/143700","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"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":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1054818946","display_name":null,"funder_award_id":"RG15/12 and RG 27/15","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G7163270433","display_name":null,"funder_award_id":"11401206","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7514848914","display_name":null,"funder_award_id":"ARC 44/13","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G8476391621","display_name":null,"funder_award_id":"MOE 2013-T2-1-095","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G884511991","display_name":null,"funder_award_id":"11341002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W177735991","https://openalex.org/W640428934","https://openalex.org/W991611375","https://openalex.org/W1212051683","https://openalex.org/W1489991626","https://openalex.org/W1676802333","https://openalex.org/W1805381866","https://openalex.org/W1963856310","https://openalex.org/W1966453186","https://openalex.org/W1979478965","https://openalex.org/W1981539905","https://openalex.org/W1981758330","https://openalex.org/W1986610060","https://openalex.org/W2000027358","https://openalex.org/W2024375370","https://openalex.org/W2030321128","https://openalex.org/W2032231305","https://openalex.org/W2034539170","https://openalex.org/W2037622099","https://openalex.org/W2039093201","https://openalex.org/W2040311465","https://openalex.org/W2049869247","https://openalex.org/W2055499523","https://openalex.org/W2055548619","https://openalex.org/W2070782986","https://openalex.org/W2115473648","https://openalex.org/W2125526756","https://openalex.org/W2135155045","https://openalex.org/W2140087805","https://openalex.org/W2142685099","https://openalex.org/W2158153100","https://openalex.org/W2159144555","https://openalex.org/W2161856245","https://openalex.org/W2171909906","https://openalex.org/W2177339763","https://openalex.org/W2211694806","https://openalex.org/W2569750427","https://openalex.org/W2801179766","https://openalex.org/W2955574817","https://openalex.org/W2988248151","https://openalex.org/W3151629361","https://openalex.org/W4247223564","https://openalex.org/W4253937035"],"related_works":["https://openalex.org/W70802032","https://openalex.org/W4239999982","https://openalex.org/W2051748842","https://openalex.org/W328718543","https://openalex.org/W1996349928","https://openalex.org/W4321637725","https://openalex.org/W2991451828","https://openalex.org/W2286070595","https://openalex.org/W2983916059","https://openalex.org/W3105087507"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
