{"id":"https://openalex.org/W4401741200","doi":"https://doi.org/10.21105/joss.06766","title":"ASGarD: Adaptive Sparse Grid Discretization","display_name":"ASGarD: Adaptive Sparse Grid Discretization","publication_year":2024,"publication_date":"2024-08-22","ids":{"openalex":"https://openalex.org/W4401741200","doi":"https://doi.org/10.21105/joss.06766"},"language":"en","primary_location":{"id":"doi:10.21105/joss.06766","is_oa":true,"landing_page_url":"https://doi.org/10.21105/joss.06766","pdf_url":"https://joss.theoj.org/papers/10.21105/joss.06766.pdf","source":{"id":"https://openalex.org/S4210214273","display_name":"The Journal of Open Source Software","issn_l":"2475-9066","issn":["2475-9066"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315853","host_organization_name":"Open Journals","host_organization_lineage":["https://openalex.org/P4310315853"],"host_organization_lineage_names":["Open Journals"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Open Source Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://joss.theoj.org/papers/10.21105/joss.06766.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054493448","display_name":"Steven Hahn","orcid":"https://orcid.org/0000-0002-2018-7904"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven E. Hahn","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0002-2018-7904","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074244476","display_name":"Miroslav Stoyanov","orcid":"https://orcid.org/0000-0002-8199-5577"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Miroslav K Stoyanov","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0002-8199-5577","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073562402","display_name":"Stefan Schnake","orcid":"https://orcid.org/0000-0002-1518-3538"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stefan Schnake","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0002-1518-3538","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071441074","display_name":"Eirik Endeve","orcid":"https://orcid.org/0000-0003-1251-9507"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eirik Endeve","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0003-1251-9507","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089930723","display_name":"David L. Green","orcid":"https://orcid.org/0000-0003-3107-1170"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David L. Green","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0003-3107-1170","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069550749","display_name":"M. Cianciosa","orcid":"https://orcid.org/0000-0001-6211-5311"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark Cianciosa","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0001-6211-5311","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026012891","display_name":"Ed D\u2019Azevedo","orcid":null},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ed D\u2019Azevedo","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0002-6945-3206","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041347658","display_name":"Wael Elwasif","orcid":"https://orcid.org/0000-0003-0554-1036"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wael Elwasif","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0003-0554-1036","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092654122","display_name":"Coleman Kendrick","orcid":"https://orcid.org/0000-0001-8808-9844"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Coleman J. Kendrick","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0001-8808-9844","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111322467","display_name":"Hao Lau","orcid":null},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hao Lau","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058852991","display_name":"M. Graham Lopez","orcid":"https://orcid.org/0000-0002-5375-2105"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Graham Lopez","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0002-5375-2105","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031848672","display_name":"Adam McDaniel","orcid":null},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adam McDaniel","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","South Doyle High School, Knoxville, TN (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]},{"raw_affiliation_string":"South Doyle High School, Knoxville, TN (United States)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024191167","display_name":"Benjamin McDaniel","orcid":null},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]},{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B.Tyler McDaniel","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","Univ. of Tennessee, Knoxville, TN (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]},{"raw_affiliation_string":"Univ. of Tennessee, Knoxville, TN (United States)","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060319992","display_name":"Lin Mu","orcid":"https://orcid.org/0000-0002-2669-2696"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]},{"id":"https://openalex.org/I165733156","display_name":"University of Georgia","ror":"https://ror.org/00te3t702","country_code":"US","type":"education","lineage":["https://openalex.org/I165733156"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lin Mu","raw_affiliation_strings":["Univ. of Georgia, Athens, GA (United States)","Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0002-2669-2696","affiliations":[{"raw_affiliation_string":"Univ. of Georgia, Athens, GA (United States)","institution_ids":["https://openalex.org/I165733156"]},{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002241588","display_name":"Tim Younkin","orcid":"https://orcid.org/0000-0002-7471-6840"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Timothy Younkin","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0002-7471-6840","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106654148","display_name":"Hugo Brunie","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I4210151627","display_name":"National Energy Research Scientific Computing Center","ror":"https://ror.org/05v3mvq14","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521","https://openalex.org/I4210151627"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Hugo Brunie","raw_affiliation_strings":["Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)","National Institute for Research in Digital Science and Technology (Inria) (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)","institution_ids":["https://openalex.org/I4210151627","https://openalex.org/I148283060"]},{"raw_affiliation_string":"National Institute for Research in Digital Science and Technology (Inria) (France)","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011805970","display_name":"Nestor Demeure","orcid":"https://orcid.org/0000-0002-0530-6530"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I4210151627","display_name":"National Energy Research Scientific Computing Center","ror":"https://ror.org/05v3mvq14","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521","https://openalex.org/I4210151627"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nestor Demeure","raw_affiliation_strings":["Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)","institution_ids":["https://openalex.org/I4210151627","https://openalex.org/I148283060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005248564","display_name":"Cory D. Hauck","orcid":"https://orcid.org/0000-0001-5559-502X"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cory D Hauck","raw_affiliation_strings":["Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)"],"raw_orcid":"https://orcid.org/0000-0001-5559-502X","affiliations":[{"raw_affiliation_string":"Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)","institution_ids":["https://openalex.org/I1289243028"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03789069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"100","first_page":"6766","last_page":"6766"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10346","display_name":"Magnetic confinement fusion research","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T10346","display_name":"Magnetic confinement fusion research","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11206","display_name":"Model Reduction and Neural Networks","score":0.98580002784729,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9553999900817871,"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/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.771937370300293},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7133532166481018},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.686687707901001},{"id":"https://openalex.org/keywords/sparse-grid","display_name":"Sparse grid","score":0.6427044868469238},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5835496187210083},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5275849103927612},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48147693276405334},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4616064131259918},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4418710470199585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4394971430301666},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4217650890350342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39162975549697876},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29120108485221863},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26625049114227295},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19572827219963074},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15226903557777405},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13291561603546143},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12011176347732544}],"concepts":[{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.771937370300293},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7133532166481018},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.686687707901001},{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.6427044868469238},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5835496187210083},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5275849103927612},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48147693276405334},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4616064131259918},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4418710470199585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4394971430301666},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4217650890350342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39162975549697876},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29120108485221863},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26625049114227295},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19572827219963074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15226903557777405},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13291561603546143},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12011176347732544},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.21105/joss.06766","is_oa":true,"landing_page_url":"https://doi.org/10.21105/joss.06766","pdf_url":"https://joss.theoj.org/papers/10.21105/joss.06766.pdf","source":{"id":"https://openalex.org/S4210214273","display_name":"The Journal of Open Source Software","issn_l":"2475-9066","issn":["2475-9066"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315853","host_organization_name":"Open Journals","host_organization_lineage":["https://openalex.org/P4310315853"],"host_organization_lineage_names":["Open Journals"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Open Source Software","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:2439016","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2439016","pdf_url":"https://www.osti.gov/servlets/purl/2439016","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"doi:10.21105/joss.06766","is_oa":true,"landing_page_url":"https://doi.org/10.21105/joss.06766","pdf_url":"https://joss.theoj.org/papers/10.21105/joss.06766.pdf","source":{"id":"https://openalex.org/S4210214273","display_name":"The Journal of Open Source Software","issn_l":"2475-9066","issn":["2475-9066"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315853","host_organization_name":"Open Journals","host_organization_lineage":["https://openalex.org/P4310315853"],"host_organization_lineage_names":["Open Journals"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Open Source Software","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1489425746","display_name":null,"funder_award_id":"DE-AC05-00OR22725","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G1645119126","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4370606643","display_name":null,"funder_award_id":"DE-AC05-00OR22725","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G4423657506","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320338287","funder_display_name":"Oak Ridge National Laboratory"},{"id":"https://openalex.org/G5726405315","display_name":null,"funder_award_id":"DE-AC05","funder_id":"https://openalex.org/F4320306250","funder_display_name":"Battelle"},{"id":"https://openalex.org/G6129992089","display_name":null,"funder_award_id":"DE-AC05-","funder_id":"https://openalex.org/F4320316892","funder_display_name":"UT-Battelle"},{"id":"https://openalex.org/G6864165199","display_name":null,"funder_award_id":"DE-AC05-00OR22725","funder_id":"https://openalex.org/F4320306250","funder_display_name":"Battelle"},{"id":"https://openalex.org/G7995982022","display_name":null,"funder_award_id":"DE-AC05","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8269158468","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G8813984943","display_name":null,"funder_award_id":"DE-AC05-00OR22725","funder_id":"https://openalex.org/F4320316892","funder_display_name":"UT-Battelle"},{"id":"https://openalex.org/G8906985441","display_name":null,"funder_award_id":"00OR22725","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8943143067","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320316892","funder_display_name":"UT-Battelle"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306250","display_name":"Battelle","ror":"https://ror.org/01h5tnr73"},{"id":"https://openalex.org/F4320316892","display_name":"UT-Battelle","ror":"https://ror.org/04nza6677"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338287","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401741200.pdf","grobid_xml":"https://content.openalex.org/works/W4401741200.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W569407654","https://openalex.org/W2032498212","https://openalex.org/W2054314432","https://openalex.org/W2076394832","https://openalex.org/W2615027853","https://openalex.org/W3033056846","https://openalex.org/W3082030075","https://openalex.org/W4297801974","https://openalex.org/W4379793274","https://openalex.org/W4396708367"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W1977095816","https://openalex.org/W2088811509","https://openalex.org/W2615415075","https://openalex.org/W2349918482","https://openalex.org/W2290858160","https://openalex.org/W1552483862","https://openalex.org/W2964179106","https://openalex.org/W4388662137","https://openalex.org/W2161759000"],"abstract_inverted_index":{"Many":[0],"areas":[1],"of":[2,58,63,65,80,99],"science":[3],"exhibit":[4],"physical":[5],"processes":[6],"that":[7],"are":[8,52],"described":[9],"by":[10,54],"high":[11],"dimensional":[12],"partial":[13],"differential":[14],"equations":[15],"(PDEs),":[16],"e.g.,":[17],"the":[18,55,61,78,96],"4D":[19],"(Dorf":[20],"et":[21,26,33,48],"al.,":[22,27,34,49],"2013),":[23],"5D":[24],"(Candy":[25],"2009)":[28],"and":[29],"6D":[30,91],"models":[31,40],"(Juno":[32],"2018)":[35],"describing":[36,41],"magnetized":[37],"fusion":[38],"plasmas,":[39],"quantum":[42],"chemistry,":[43],"or":[44],"derivatives":[45],"pricing":[46],"(Bandrauk":[47],"2007).Such":[50],"problems":[51],"affected":[53],"so-called":[56],"\"curse":[57],"dimensionality\"":[59],"where":[60,76],"number":[62,79],"degrees":[64],"freedom":[66],"(or":[67],"unknowns)":[68],"required":[69],"to":[70],"be":[71],"solved":[72],"for":[73],"scales":[74],"as":[75],"is":[77,93],"grid":[81],"points":[82],"in":[83,95],"any":[84],"given":[85],"dimension":[86],".A":[87],"simple,":[88],"albeit":[89],"naive,":[90],"example":[92],"demonstrated":[94],"left":[97],"panel":[98],"Figure":[100]},"counts_by_year":[],"updated_date":"2026-07-10T07:45:09.275182","created_date":"2025-10-10T00:00:00"}
