{"id":"https://openalex.org/W2109948200","doi":"https://doi.org/10.1177/109434209100500101","title":"Concurrent Vector Algorithms for Spline Solutions of the Helium Pair Equation","display_name":"Concurrent Vector Algorithms for Spline Solutions of the Helium Pair Equation","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W2109948200","doi":"https://doi.org/10.1177/109434209100500101","mag":"2109948200"},"language":"en","primary_location":{"id":"doi:10.1177/109434209100500101","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209100500101","pdf_url":null,"source":{"id":"https://openalex.org/S4210187582","display_name":"The International Journal of Supercomputing Applications","issn_l":"0890-2720","issn":["0890-2720"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputing Applications","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/A5045665497","display_name":"Charlotte Froese Fischer","orcid":"https://orcid.org/0000-0002-7798-9289"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Charlotte Froese Fischer","raw_affiliation_strings":["DEPARTMENT OF COMPUTER SCIENCE VANDERBILT UNIVERSITY\rBOX 6035B NASHVILLE, TENNESSEE 37235","DEPARTMENT OF COMPUTER SCIENCE VANDERBILT UNIVERSITY#R#BOX 6035B NASHVILLE, TENNESSEE 37235"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF COMPUTER SCIENCE VANDERBILT UNIVERSITY\rBOX 6035B NASHVILLE, TENNESSEE 37235","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"DEPARTMENT OF COMPUTER SCIENCE VANDERBILT UNIVERSITY#R#BOX 6035B NASHVILLE, TENNESSEE 37235","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045665497"],"corresponding_institution_ids":["https://openalex.org/I200719446"],"apc_list":null,"apc_paid":null,"fwci":3.0789,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.91253686,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"5","issue":"1","first_page":"5","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.9891999959945679,"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"}},"topics":[{"id":"https://openalex.org/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.9891999959945679,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9886999726295471,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9861000180244446,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6149304509162903},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.594804584980011},{"id":"https://openalex.org/keywords/excited-state","display_name":"Excited state","score":0.593660831451416},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5240693092346191},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4767124056816101},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43946707248687744},{"id":"https://openalex.org/keywords/helium","display_name":"Helium","score":0.42532408237457275},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.41850823163986206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41365569829940796},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3298863172531128},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31068581342697144},{"id":"https://openalex.org/keywords/atomic-physics","display_name":"Atomic physics","score":0.22993433475494385},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20210972428321838},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19095313549041748}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6149304509162903},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.594804584980011},{"id":"https://openalex.org/C181500209","wikidata":"https://www.wikidata.org/wiki/Q215328","display_name":"Excited state","level":2,"score":0.593660831451416},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5240693092346191},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4767124056816101},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43946707248687744},{"id":"https://openalex.org/C546029482","wikidata":"https://www.wikidata.org/wiki/Q560","display_name":"Helium","level":2,"score":0.42532408237457275},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.41850823163986206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41365569829940796},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3298863172531128},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31068581342697144},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.22993433475494385},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20210972428321838},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19095313549041748},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/109434209100500101","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209100500101","pdf_url":null,"source":{"id":"https://openalex.org/S4210187582","display_name":"The International Journal of Supercomputing Applications","issn_l":"0890-2720","issn":["0890-2720"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Supercomputing Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1493749856","https://openalex.org/W1931049532","https://openalex.org/W1973732379","https://openalex.org/W1976533064","https://openalex.org/W1995343300","https://openalex.org/W1995627233","https://openalex.org/W1997420322","https://openalex.org/W1998434228","https://openalex.org/W2002351104","https://openalex.org/W2002574041","https://openalex.org/W2004135511","https://openalex.org/W2006204334","https://openalex.org/W2009596258","https://openalex.org/W2010399932","https://openalex.org/W2016711194","https://openalex.org/W2017558517","https://openalex.org/W2021388142","https://openalex.org/W2042932759","https://openalex.org/W2050815814","https://openalex.org/W2111866034","https://openalex.org/W2162870748","https://openalex.org/W2569133694","https://openalex.org/W3035235874","https://openalex.org/W4230168603"],"related_works":["https://openalex.org/W2068137917","https://openalex.org/W2786707560","https://openalex.org/W1982518179","https://openalex.org/W147048876","https://openalex.org/W42824301","https://openalex.org/W2503972482","https://openalex.org/W2092643162","https://openalex.org/W2374165352","https://openalex.org/W4386687603","https://openalex.org/W4307007469"],"abstract_inverted_index":{"An":[0,85],"algorithm":[1,89],"for":[2,9,14,66,76,92],"the":[3,6,29,67,77,94],"solution":[4],"of":[5,48,60],"pair":[7,40],"equation":[8],"helium":[10],"is":[11,20,42,54,64,90,100],"described,":[12],"suitable":[13],"concurrent":[15],"vector":[16],"pro":[17],"cessors.":[18],"Emphasis":[19],"placed":[21],"on":[22],"minimizing":[23],"memory":[24],"re":[25],"quirements":[26],"so":[27],"that":[28],"technique":[30],"may":[31],"be":[32],"extended":[33],"to":[34,102],"systems":[35],"with":[36],"more":[37],"electrons.":[38],"The":[39],"function":[41],"ex":[43],"panded":[44],"in":[45,104],"a":[46,57],"series":[47],"partial":[49],"waves":[50],"whose":[51],"radial":[52],"factor":[53],"represented":[55],"by":[56],"tensor":[58],"product":[59],"B-splines.":[61],"Perfor":[62],"mance":[63],"analyzed":[65],"ground":[68],"and":[69,75,81,99],"first":[70],"excited":[71],"1":[72],"S":[73,80],"state,":[74],"lowest":[78],"3":[79],"1,3":[82],"P":[83],"states.":[84],"odd-even,":[86],"column":[87],"Nesbet":[88],"derived":[91],"solving":[93],"gen":[95],"eralized":[96],"eigenvalue":[97],"problem":[98],"shown":[101],"converge":[103],"all":[105],"cases.":[106]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
