{"id":"https://openalex.org/W2767278711","doi":"https://doi.org/10.1137/17m1122098","title":"On a Power WENO Scheme with Improved Accuracy Near Discontinuities","display_name":"On a Power WENO Scheme with Improved Accuracy Near Discontinuities","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2767278711","doi":"https://doi.org/10.1137/17m1122098","mag":"2767278711"},"language":"en","primary_location":{"id":"doi:10.1137/17m1122098","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1122098","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 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/A5067555613","display_name":"Sergio Amat","orcid":"https://orcid.org/0000-0002-9954-5240"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sergio Amat","raw_affiliation_strings":["Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073016700","display_name":"Jacques Liandrat","orcid":"https://orcid.org/0000-0002-8513-6358"},"institutions":[{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacques Liandrat","raw_affiliation_strings":["Institut de Math\u00e9matiques de Marseille"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Marseille","institution_ids":["https://openalex.org/I4210138206"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111561833","display_name":"Juan Ruiz","orcid":"https://orcid.org/0000-0003-4964-8345"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan Ruiz","raw_affiliation_strings":["Universidad de Alcal\u00e1 - University of Alcal\u00e1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Alcal\u00e1 - University of Alcal\u00e1","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047593195","display_name":"J. Carlos Trillo","orcid":"https://orcid.org/0000-0001-5566-8663"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan C. Trillo","raw_affiliation_strings":["Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena","institution_ids":["https://openalex.org/I3123212020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1268,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8755068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"39","issue":"6","first_page":"A2472","last_page":"A2507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9961000084877014,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.8089743256568909},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.7806974053382874},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6945204138755798},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6142631769180298},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5903869867324829},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5599142909049988},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5424557328224182},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.5168091058731079},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4653661251068115},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.45692113041877747},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4017602503299713},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38833463191986084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2302911877632141}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.8089743256568909},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.7806974053382874},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6945204138755798},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6142631769180298},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5903869867324829},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5599142909049988},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5424557328224182},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.5168091058731079},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4653661251068115},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.45692113041877747},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4017602503299713},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38833463191986084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2302911877632141},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1122098","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1122098","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01760452v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01760452","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 2017, 39 (6), pp.A2472 - A2507. &#x27E8;10.1137/17M1122098&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7323949806","display_name":null,"funder_award_id":"19374/P1714","funder_id":"https://openalex.org/F4320310087","funder_display_name":"Fundaci\u00f3n S\u00e9neca"},{"id":"https://openalex.org/G8795378640","display_name":null,"funder_award_id":"MTM2015-64382-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320310087","display_name":"Fundaci\u00f3n S\u00e9neca","ror":"https://ror.org/03q68pf65"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W85435400","https://openalex.org/W752645271","https://openalex.org/W1511612963","https://openalex.org/W1886421468","https://openalex.org/W1970480040","https://openalex.org/W1975860724","https://openalex.org/W1978116181","https://openalex.org/W1983195644","https://openalex.org/W1994808173","https://openalex.org/W1998715411","https://openalex.org/W2002775473","https://openalex.org/W2008182598","https://openalex.org/W2019923810","https://openalex.org/W2032976967","https://openalex.org/W2039150507","https://openalex.org/W2040834504","https://openalex.org/W2044084385","https://openalex.org/W2044325133","https://openalex.org/W2045849310","https://openalex.org/W2052329331","https://openalex.org/W2068349368","https://openalex.org/W2069100091","https://openalex.org/W2072763969","https://openalex.org/W2075868810","https://openalex.org/W2080839542","https://openalex.org/W2081484601","https://openalex.org/W2085427268","https://openalex.org/W2086205761","https://openalex.org/W2092640250","https://openalex.org/W2109801076","https://openalex.org/W2128105245","https://openalex.org/W2220377532","https://openalex.org/W2339363082","https://openalex.org/W2405406571","https://openalex.org/W2520021569","https://openalex.org/W2571482609","https://openalex.org/W2589271359","https://openalex.org/W2626634431"],"related_works":["https://openalex.org/W2323190011","https://openalex.org/W3039499377","https://openalex.org/W162062087","https://openalex.org/W4241629433","https://openalex.org/W2085032340","https://openalex.org/W2026226327","https://openalex.org/W1989965977","https://openalex.org/W1756153455","https://openalex.org/W2056095867","https://openalex.org/W2232767080"],"abstract_inverted_index":{"This":[0,218],"paper":[1],"is":[2,46,120,141,144,155,167],"devoted":[3],"to":[4,56,146,168,183,190,199,207],"the":[5,25,31,39,50,57,64,69,85,90,109,113,134,139,148,151,158,162,170,178,192,195,209,212,216,225,245,267,272,279],"construction":[6],"and":[7,21,34,53,75,98,132,244,252],"analysis":[8],"of":[9,23,60,129,150,161,194,215],"a":[10,201],"new":[11,114,268],"prediction":[12,43],"operator":[13,44],"based":[14],"on":[15],"weighted":[16],"essentially":[17],"nonoscillatory":[18],"(WENO)":[19],"interpolation":[20,175],"capable":[22],"improving":[24],"accuracy":[26,210],"near":[27,35],"corner":[28,124],"discontinuities":[29,37],"in":[30,38,95,138,177,197,232,249,278,282],"point":[32,51,86],"values":[33,52,87],"jump":[36],"cell":[40,65],"averages.":[41],"The":[42,126,262],"presented":[45,94],"initially":[47],"developed":[48],"for":[49,123],"then":[54],"extended":[55],"cell-average":[58],"setting":[59],"Harten's":[61],"multiresolution.":[62],"In":[63,84,181],"averages":[66],"we":[67,88],"use":[68,89],"smoothness":[70,115,135],"index":[71,116],"proposed":[72,270],"by":[73,173,224],"Jiang":[74],"Shu":[76],"[J.":[77],"Comput.":[78,238,256],"Phys.,":[79,257],"126":[80],"(1996),":[81],"pp.":[82,106,242,260],"202--228].":[83],"one":[91],"that":[92,112,117,142,204,266,274],"was":[93],"[S.":[96,233,250],"Amat":[97,234],"J.":[99,101,255],"Ruiz,":[100],"Sci.":[102],"Comput.,":[103],"71":[104],"(2017),":[105],"1265--1302],":[107],"where":[108],"authors":[110],"show":[111,265],"they":[118],"propose":[119],"better":[121],"adapted":[122],"discontinuities.":[125],"inherent":[127],"problem":[128],"WENO":[130,174,284],"schemes":[131],"all":[133],"indexes":[136],"available":[137],"literature":[140,280],"it":[143,154,186],"impossible":[145],"avoid":[147],"effect":[149],"discontinuity":[152,196],"when":[153],"placed":[156],"at":[157,211],"central":[159,213],"interval":[160,214],"stencil.":[163,217],"Thus,":[164],"our":[165],"aim":[166],"improve":[169,208],"results":[171],"obtained":[172],"even":[176],"mentioned":[179],"case.":[180],"order":[182,198],"do":[184],"so,":[185],"will":[187,221],"be":[188,222,276],"necessary":[189],"detect":[191],"presence":[193],"apply":[200],"nonlinear":[202,219],"strategy":[203,230,269],"allows":[205],"us":[206],"modification":[220],"inspired":[223],"piecewise":[226],"polynomial":[227],"harmonic":[228],"(PPH)":[229],"introduced":[231,248],"et.":[235],"al,":[236],"Found.":[237],"Math.,":[239],"6":[240],"(2006),":[241],"193--225]":[243],"power":[246],"means":[247],"Serna":[251],"A.":[253],"Marquina,":[254],"194":[258],"(2004),":[259],"632--658].":[261],"numerical":[263],"experiments":[264],"improves":[271],"methods":[273],"can":[275],"found":[277],"and,":[281],"particular,":[283],"schemes.":[285]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
