{"id":"https://openalex.org/W4404224009","doi":"https://doi.org/10.1137/23m1555417","title":"Spherical Designs for Approximations on Spherical Caps","display_name":"Spherical Designs for Approximations on Spherical Caps","publication_year":2024,"publication_date":"2024-11-11","ids":{"openalex":"https://openalex.org/W4404224009","doi":"https://doi.org/10.1137/23m1555417"},"language":"en","primary_location":{"id":"doi:10.1137/23m1555417","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1555417","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/110246/1/23m1555417.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100744327","display_name":"Chao Li","orcid":"https://orcid.org/0000-0001-8721-4826"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I174104030","display_name":"Taiyuan Normal University","ror":"https://ror.org/051k00p03","country_code":"CN","type":"education","lineage":["https://openalex.org/I174104030"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Chao Li","raw_affiliation_strings":["School of Mathematics and Statistics, Taiyuan Normal University, Taiyuan, China, and CAS AMSS-PolyU Joint Laboratory of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Taiyuan Normal University, Taiyuan, China, and CAS AMSS-PolyU Joint Laboratory of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I174104030","https://openalex.org/I14243506"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026851174","display_name":"Xiaojun Chen","orcid":"https://orcid.org/0000-0002-9348-8345"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xiaojun Chen","raw_affiliation_strings":["Corresponding author. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100744327"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I174104030"],"apc_list":null,"apc_paid":null,"fwci":0.3481,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65312587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"62","issue":"6","first_page":"2506","last_page":"2528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/mathematics","display_name":"Mathematics","score":0.7646476030349731},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.6296173930168152},{"id":"https://openalex.org/keywords/spherical-shell","display_name":"Spherical shell","score":0.44467946887016296},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4184105098247528},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3713343143463135},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36000704765319824}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7646476030349731},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.6296173930168152},{"id":"https://openalex.org/C108280814","wikidata":"https://www.wikidata.org/wiki/Q12137","display_name":"Spherical shell","level":3,"score":0.44467946887016296},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4184105098247528},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3713343143463135},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36000704765319824},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1555417","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1555417","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/110246","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/110246","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/110246/1/23m1555417.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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/Magazine Article"}],"best_oa_location":{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/110246","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/110246","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/110246/1/23m1555417.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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/Magazine Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1888849920","display_name":null,"funder_award_id":"15300021","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G276400187","display_name":null,"funder_award_id":"12301404","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3664622158","display_name":"Development of Novel Encoded \"One-Bead One-Compound\" Combinatorial Small Molecule Libraries","funder_award_id":"0302122","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6694981322","display_name":"Identification of Targets of Apetala3 and Pistillata Floral Homeotic Gene Action","funder_award_id":"0212222","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7308824486","display_name":null,"funder_award_id":"PolyU15300021","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4404224009.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W167165788","https://openalex.org/W567568486","https://openalex.org/W607734629","https://openalex.org/W611291797","https://openalex.org/W1486164486","https://openalex.org/W1557899381","https://openalex.org/W1989397443","https://openalex.org/W1994621269","https://openalex.org/W1996710757","https://openalex.org/W1998258828","https://openalex.org/W2008151474","https://openalex.org/W2036738119","https://openalex.org/W2037136632","https://openalex.org/W2046193047","https://openalex.org/W2051010753","https://openalex.org/W2061769755","https://openalex.org/W2066796569","https://openalex.org/W2077780802","https://openalex.org/W2087255259","https://openalex.org/W2088545848","https://openalex.org/W2091491976","https://openalex.org/W2093529512","https://openalex.org/W2139046107","https://openalex.org/W2157823613","https://openalex.org/W2584020404","https://openalex.org/W2804267292","https://openalex.org/W2963976101","https://openalex.org/W2964178386","https://openalex.org/W2996484635","https://openalex.org/W3035661618","https://openalex.org/W3097086704","https://openalex.org/W3134107170","https://openalex.org/W3216111196","https://openalex.org/W4248351283"],"related_works":["https://openalex.org/W2490866353","https://openalex.org/W4302759913","https://openalex.org/W2326163686","https://openalex.org/W2340031096","https://openalex.org/W2159752845","https://openalex.org/W2780947037","https://openalex.org/W2351504762","https://openalex.org/W4389318410","https://openalex.org/W1969571312","https://openalex.org/W2255288419"],"abstract_inverted_index":{"202411":[0],"bcch":[1]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
