{"id":"https://openalex.org/W3138739288","doi":"https://doi.org/10.1007/s10915-021-01444-9","title":"Fast Sparse Grid Simulations of Fifth Order WENO Scheme for High Dimensional Hyperbolic PDEs","display_name":"Fast Sparse Grid Simulations of Fifth Order WENO Scheme for High Dimensional Hyperbolic PDEs","publication_year":2021,"publication_date":"2021-03-19","ids":{"openalex":"https://openalex.org/W3138739288","doi":"https://doi.org/10.1007/s10915-021-01444-9","mag":"3138739288"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01444-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01444-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5023380801","display_name":"Xiaozhi Zhu","orcid":"https://orcid.org/0000-0001-5361-0716"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiaozhi Zhu","raw_affiliation_strings":["Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, 46556, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, 46556, USA","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100703417","display_name":"Yong\u2010Tao Zhang","orcid":"https://orcid.org/0000-0002-0831-6590"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yong-Tao Zhang","raw_affiliation_strings":["Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, 46556, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, 46556, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023380801"],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3559,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.5275667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"87","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9973999857902527,"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/sparse-grid","display_name":"Sparse grid","score":0.7531147003173828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6361140608787537},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6116690039634705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6012266278266907},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5870805978775024},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.500117301940918},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.49933290481567383},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4769493639469147},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4509737193584442},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.44015270471572876},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.43377768993377686},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.4165344834327698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31039443612098694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26490360498428345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23367458581924438},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11099496483802795},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.10267683863639832}],"concepts":[{"id":"https://openalex.org/C156439662","wikidata":"https://www.wikidata.org/wiki/Q7573793","display_name":"Sparse grid","level":2,"score":0.7531147003173828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6361140608787537},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6116690039634705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6012266278266907},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5870805978775024},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.500117301940918},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.49933290481567383},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4769493639469147},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4509737193584442},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.44015270471572876},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.43377768993377686},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.4165344834327698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31039443612098694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26490360498428345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23367458581924438},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11099496483802795},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.10267683863639832},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-021-01444-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01444-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6237189076","display_name":null,"funder_award_id":"DMS-1620108","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W1886421468","https://openalex.org/W1967515013","https://openalex.org/W1967716557","https://openalex.org/W1973481688","https://openalex.org/W1975738182","https://openalex.org/W1976610942","https://openalex.org/W1978483262","https://openalex.org/W1979572820","https://openalex.org/W1983195644","https://openalex.org/W2000350055","https://openalex.org/W2009542422","https://openalex.org/W2024540620","https://openalex.org/W2035328844","https://openalex.org/W2038476471","https://openalex.org/W2039150507","https://openalex.org/W2041138953","https://openalex.org/W2044325133","https://openalex.org/W2045849310","https://openalex.org/W2047287212","https://openalex.org/W2047844727","https://openalex.org/W2052454954","https://openalex.org/W2055887270","https://openalex.org/W2061445823","https://openalex.org/W2084895304","https://openalex.org/W2094772459","https://openalex.org/W2101649496","https://openalex.org/W2102179892","https://openalex.org/W2106165084","https://openalex.org/W2109801076","https://openalex.org/W2116729868","https://openalex.org/W2123157681","https://openalex.org/W2134262723","https://openalex.org/W2140903890","https://openalex.org/W2153248497","https://openalex.org/W2157204523","https://openalex.org/W2158522603","https://openalex.org/W2168555104","https://openalex.org/W2170590789","https://openalex.org/W2288540620","https://openalex.org/W2326641952","https://openalex.org/W2403013574","https://openalex.org/W2405092277","https://openalex.org/W2553393138","https://openalex.org/W2595371380","https://openalex.org/W2606838186","https://openalex.org/W2729524813","https://openalex.org/W2809858621","https://openalex.org/W2892353119","https://openalex.org/W2898460104","https://openalex.org/W2916844002","https://openalex.org/W2940906015","https://openalex.org/W2962711614","https://openalex.org/W2963412993","https://openalex.org/W2964079569","https://openalex.org/W3010292040","https://openalex.org/W3116092967","https://openalex.org/W4255975175"],"related_works":["https://openalex.org/W2066764747","https://openalex.org/W2078860623","https://openalex.org/W2021862882","https://openalex.org/W161810272","https://openalex.org/W2969693569","https://openalex.org/W3118471514","https://openalex.org/W2069661783","https://openalex.org/W2609974967","https://openalex.org/W144405564","https://openalex.org/W1978474130"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-06T07:47:59.780226","created_date":"2025-10-10T00:00:00"}
