{"id":"https://openalex.org/W2811406540","doi":"https://doi.org/10.1137/17m1154758","title":"Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws","display_name":"Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2811406540","doi":"https://doi.org/10.1137/17m1154758","mag":"2811406540"},"language":"en","primary_location":{"id":"doi:10.1137/17m1154758","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1154758","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5034967156","display_name":"Todd Arbogast","orcid":"https://orcid.org/0000-0001-9692-5478"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Todd Arbogast","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103167680","display_name":"Chieh\u2010Sen Huang","orcid":"https://orcid.org/0000-0001-8209-9371"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chieh-Sen Huang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046006886","display_name":"Xikai Zhao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xikai Zhao","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034967156"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4973,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.88590273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"56","issue":"3","first_page":"1818","last_page":"1847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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":0.9995999932289124,"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/T10597","display_name":"Nuclear reactor physics and engineering","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9973999857902527,"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/stencil","display_name":"Stencil","score":0.878920316696167},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.8239585161209106},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.8147582411766052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6348999738693237},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6075578927993774},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.5677641034126282},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5513491630554199},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49805736541748047},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.4872845411300659},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4217948615550995},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3508374094963074},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.33511942625045776},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16147318482398987},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.12516430020332336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07611650228500366}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.878920316696167},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.8239585161209106},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8147582411766052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6348999738693237},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6075578927993774},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.5677641034126282},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5513491630554199},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49805736541748047},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.4872845411300659},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4217948615550995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3508374094963074},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.33511942625045776},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16147318482398987},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.12516430020332336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07611650228500366},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1154758","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1154758","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5699999928474426}],"awards":[{"id":"https://openalex.org/G3914740980","display_name":null,"funder_award_id":"105-2115-M-110-006-MY2","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G4399638168","display_name":null,"funder_award_id":"DMS-1418752","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"},{"id":"https://openalex.org/F4320311041","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67"},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1973481688","https://openalex.org/W1975311166","https://openalex.org/W2026073961","https://openalex.org/W2032527470","https://openalex.org/W2039150507","https://openalex.org/W2043057066","https://openalex.org/W2044325133","https://openalex.org/W2045849310","https://openalex.org/W2048475936","https://openalex.org/W2069100091","https://openalex.org/W2083367386","https://openalex.org/W2109801076","https://openalex.org/W2345480036","https://openalex.org/W2482502784","https://openalex.org/W2520021569","https://openalex.org/W3010292040"],"related_works":["https://openalex.org/W2095216692","https://openalex.org/W4285785332","https://openalex.org/W4389319301","https://openalex.org/W2593597873","https://openalex.org/W4389116067","https://openalex.org/W2128520081","https://openalex.org/W2383156613","https://openalex.org/W3016193330","https://openalex.org/W4316371992","https://openalex.org/W2765282948"],"abstract_inverted_index":{"In":[0],"this":[1,113,122],"paper,":[2],"we":[3,116,129],"analyze":[4],"standard":[5],"weighted":[6],"essentially":[7],"nonoscillatory":[8],"(WENO)":[9],"reconstructions":[10,14,38,133,167],"and":[11,22,47,164,168],"multilevel":[12],"WENO":[13,132],"with":[15,49],"adaptive":[16],"order":[17,41,139],"(WENO-AO)":[18],"using":[19],"both":[20,44],"WENO-JS":[21],"WENO-Z":[23],"weighting.":[24],"We":[25,32,107,152],"also":[26,117,153],"present":[27,154],"a":[28,57,109],"new":[29,72,165],"WENO-AO":[30,53,166],"reconstruction.":[31],"give":[33],"conditions":[34],"under":[35],"which":[36,82,147],"the":[37,68,71,75,78,83,90,95,103,138,143,148,158,162],"achieve":[39],"optimal":[40],"accuracy":[42,76],"for":[43],"smooth":[45],"solutions":[46,48],"discontinuities.":[50],"The":[51],"old":[52,163],"reconstruction":[54],"drops":[55],"to":[56,111,125,136],"fixed,":[58],"base":[59],"level":[60],"of":[61,77,140,142,161],"approximation":[62,141],"when":[63],"there":[64],"are":[65],"discontinuities":[66],"in":[67,89,172],"solution,":[69],"but":[70,115],"one":[73],"maintains":[74],"largest":[79],"stencil":[80,145],"over":[81,146],"solution":[84,149],"is":[85,105,150],"smooth.":[86,151],"Our":[87],"analysis":[88],"discontinuous":[91],"case":[92],"requires":[93],"that":[94,131],"smoothness":[96],"indicators":[97],"do":[98],"not":[99],"approach":[100],"zero":[101],"as":[102],"grid":[104],"refined.":[106],"provide":[108],"condition":[110],"ensure":[112],"result,":[114],"show":[118,130],"an":[119],"example":[120],"where":[121],"can":[123,134],"fail":[124,135],"occur.":[126],"That":[127],"is,":[128],"maintain":[137],"smallest":[144],"numerical":[155],"results":[156],"confirming":[157],"convergence":[159],"theory":[160],"compare":[169],"their":[170],"performance":[171],"solving":[173],"conservation":[174],"laws.":[175]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}