{"id":"https://openalex.org/W2147730041","doi":"https://doi.org/10.1007/s11075-015-9958-9","title":"Sparse grid quadrature on products of spheres","display_name":"Sparse grid quadrature on products of spheres","publication_year":2015,"publication_date":"2015-04-24","ids":{"openalex":"https://openalex.org/W2147730041","doi":"https://doi.org/10.1007/s11075-015-9958-9","mag":"2147730041"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-015-9958-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9958-9","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1202.5710","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009262102","display_name":"Markus Hegland","orcid":"https://orcid.org/0000-0002-5136-2883"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I2802631561","display_name":"Australian Mathematical Sciences Institute","ror":"https://ror.org/00yn60108","country_code":"AU","type":"other","lineage":["https://openalex.org/I2802631561"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Markus Hegland","raw_affiliation_strings":["Mathematical Sciences Institute, Australian National University, Acton, ACT, Australia","Mathematical Sciences Institute, Australian National University, Acton, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Institute, Australian National University, Acton, ACT, Australia","institution_ids":["https://openalex.org/I2802631561","https://openalex.org/I118347636"]},{"raw_affiliation_string":"Mathematical Sciences Institute, Australian National University, Acton, Australia","institution_ids":["https://openalex.org/I2802631561","https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027422686","display_name":"Paul Leopardi","orcid":"https://orcid.org/0000-0003-2891-5969"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I2802631561","display_name":"Australian Mathematical Sciences Institute","ror":"https://ror.org/00yn60108","country_code":"AU","type":"other","lineage":["https://openalex.org/I2802631561"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Paul Leopardi","raw_affiliation_strings":["Mathematical Sciences Institute, Australian National University, Acton, ACT, Australia","Mathematical Sciences Institute, Australian National University, Acton, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences Institute, Australian National University, Acton, ACT, Australia","institution_ids":["https://openalex.org/I2802631561","https://openalex.org/I118347636"]},{"raw_affiliation_string":"Mathematical Sciences Institute, Australian National University, Acton, Australia","institution_ids":["https://openalex.org/I2802631561","https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027422686"],"corresponding_institution_ids":["https://openalex.org/I118347636","https://openalex.org/I2802631561"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10046213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":"3","first_page":"485","last_page":"517"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9997000098228455,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6421934366226196},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6375823020935059},{"id":"https://openalex.org/keywords/sparse-grid","display_name":"Sparse grid","score":0.6287331581115723},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6226130723953247},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5461775064468384},{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.5195634365081787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3740122318267822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21603399515151978},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1731484830379486},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10800054669380188}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6421934366226196},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6375823020935059},{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.6287331581115723},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6226130723953247},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5461775064468384},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.5195634365081787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3740122318267822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21603399515151978},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1731484830379486},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10800054669380188},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s11075-015-9958-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9958-9","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"},{"id":"pmh:oai:arXiv.org:1202.5710","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1202.5710","pdf_url":"https://arxiv.org/pdf/1202.5710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.1033.1145","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1033.1145","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.researchgate.net/profile/Markus_Hegland/publication/221666878_Sparse_grid_quadrature_on_products_of_spheres/links/0deec5239c8d565eaf000000.pdf?origin%3Dpublication_detail","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.232.7682","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.7682","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://maths.anu.edu.au/%7Eleopardi/HL-Sparse-Grid-Spheres.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.750.4648","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.750.4648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1202.5710.pdf","raw_type":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/15205","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/15205","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerical Algorithms","raw_type":"Journal article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/68370","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/68370","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerical Algorithms","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1202.5710","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1202.5710","pdf_url":"https://arxiv.org/pdf/1202.5710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1481140196","https://openalex.org/W1515836157","https://openalex.org/W1525357776","https://openalex.org/W1965479990","https://openalex.org/W1970476229","https://openalex.org/W1974092405","https://openalex.org/W1997003551","https://openalex.org/W2015740317","https://openalex.org/W2019235922","https://openalex.org/W2024729723","https://openalex.org/W2033219281","https://openalex.org/W2036738119","https://openalex.org/W2040642520","https://openalex.org/W2041530119","https://openalex.org/W2042587009","https://openalex.org/W2044248217","https://openalex.org/W2049314641","https://openalex.org/W2050759330","https://openalex.org/W2060322444","https://openalex.org/W2066796569","https://openalex.org/W2075391389","https://openalex.org/W2092549287","https://openalex.org/W2093397547","https://openalex.org/W2165607996","https://openalex.org/W2183395875","https://openalex.org/W2584020404","https://openalex.org/W2963450458","https://openalex.org/W2964178386","https://openalex.org/W4252015355","https://openalex.org/W4300885858"],"related_works":["https://openalex.org/W2389430631","https://openalex.org/W2237649730","https://openalex.org/W3193357262","https://openalex.org/W4221162611","https://openalex.org/W4387588636","https://openalex.org/W2755124412","https://openalex.org/W3209092925","https://openalex.org/W4301289040","https://openalex.org/W2809197528","https://openalex.org/W2950312988"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}