{"id":"https://openalex.org/W2903188394","doi":"https://doi.org/10.1109/hpec.2018.8547547","title":"Utilizing GPU Parallelism to Improve Fast Spherical Harmonic Transforms","display_name":"Utilizing GPU Parallelism to Improve Fast Spherical Harmonic Transforms","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2903188394","doi":"https://doi.org/10.1109/hpec.2018.8547547","mag":"2903188394"},"language":"en","primary_location":{"id":"doi:10.1109/hpec.2018.8547547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpec.2018.8547547","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE High Performance extreme Computing Conference (HPEC)","raw_type":"proceedings-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/A5088983263","display_name":"Max Carlson","orcid":"https://orcid.org/0000-0002-8990-4430"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Max Carlson","raw_affiliation_strings":["University of Utah, Salt Lake City, Utah"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, Utah","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051806400","display_name":"Hari Sundar","orcid":"https://orcid.org/0000-0001-9001-5107"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hari Sundar","raw_affiliation_strings":["University of Utah, Salt Lake City, Utah"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, Utah","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2145,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58719142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9976000189781189,"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.8362375497817993},{"id":"https://openalex.org/keywords/legendre-function","display_name":"Legendre function","score":0.5832900404930115},{"id":"https://openalex.org/keywords/legendre-transformation","display_name":"Legendre transformation","score":0.501694917678833},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.47512346506118774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4672294557094574},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42116397619247437},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.3959066867828369},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37208065390586853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3195384740829468},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2517222464084625}],"concepts":[{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.8362375497817993},{"id":"https://openalex.org/C153262748","wikidata":"https://www.wikidata.org/wiki/Q17098449","display_name":"Legendre function","level":3,"score":0.5832900404930115},{"id":"https://openalex.org/C116594300","wikidata":"https://www.wikidata.org/wiki/Q908652","display_name":"Legendre transformation","level":2,"score":0.501694917678833},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47512346506118774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4672294557094574},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42116397619247437},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.3959066867828369},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37208065390586853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3195384740829468},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2517222464084625}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/hpec.2018.8547547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpec.2018.8547547","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE High Performance extreme Computing Conference (HPEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310050","display_name":"University of Utah","ror":"https://ror.org/03r0ha626"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1697828233","https://openalex.org/W1900210448","https://openalex.org/W1986301155","https://openalex.org/W1993358632","https://openalex.org/W2087995885","https://openalex.org/W2094761265","https://openalex.org/W2115770043","https://openalex.org/W2569750427","https://openalex.org/W2912029173","https://openalex.org/W3099137006","https://openalex.org/W3100006204","https://openalex.org/W3121354812","https://openalex.org/W3154671241","https://openalex.org/W4233363368"],"related_works":["https://openalex.org/W3020087995","https://openalex.org/W1607269076","https://openalex.org/W1984692426","https://openalex.org/W2015172806","https://openalex.org/W2080363567","https://openalex.org/W2891194680","https://openalex.org/W1546308624","https://openalex.org/W1975925305","https://openalex.org/W2079040030","https://openalex.org/W2511730051"],"abstract_inverted_index":{"Spherical":[0],"harmonics":[1],"form":[2],"an":[3],"orthogonal":[4],"basis":[5],"for":[6,19,25,129,141],"functions":[7],"that":[8],"live":[9],"on":[10,93],"the":[11,47,50,59,73,76,81,111,117,138],"surface":[12],"of":[13,30,34,49,61,75,83,87,89],"a":[14,32],"sphere":[15],"and":[16,24,85,133],"are":[17],"useful":[18],"solving":[20],"partial":[21],"differential":[22],"equations":[23],"numerical":[26],"integration.":[27],"The":[28],"complexity":[29],"transforming":[31],"set":[33],"function":[35],"samples":[36],"to":[37,115,136],"their":[38],"corresponding":[39],"spherical":[40,77,143],"harmonic":[41,78,144],"coefficients":[42],"is":[43,72,100],"largely":[44],"dominated":[45],"by":[46],"computation":[48,60],"associated":[51,55],"Legendre":[52,56],"transform.":[53],"This":[54],"transform":[57],"requires":[58],"<tex":[62,69,94,102],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[63,70,95,103],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$(L+1)$</tex>":[64],"dense":[65],"matrix-vector":[66],"products":[67],"where":[68],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L$</tex>":[71,96],"order":[74],"expansion.":[79],"Since":[80],"number":[82],"rows":[84],"columns":[86],"each":[88],"these":[90],"matrices":[91],"depends":[92],",":[97],"this":[98,107],"step":[99],"essentially":[101],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$O(L^{3})$</tex>":[104],".":[105],"In":[106],"paper,":[108],"we":[109],"explore":[110],"GPU":[112,142],"parallelism":[113],"available":[114],"improve":[116],"butterfly":[118],"compression":[119],"approach.":[120],"We":[121],"present":[122],"some":[123],"preliminary":[124],"results":[125],"showing":[126],"performance":[127],"increases":[128],"large":[130],"problem":[131],"sizes":[132],"eventually":[134],"plan":[135],"release":[137],"MonarchSHT":[139],"library":[140],"transforms.":[145]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
