{"id":"https://openalex.org/W2094051484","doi":"https://doi.org/10.1137/s1064827501385852","title":"A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws","display_name":"A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2094051484","doi":"https://doi.org/10.1137/s1064827501385852","mag":"2094051484"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827501385852","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501385852","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/A5039302286","display_name":"Doron Levy","orcid":"https://orcid.org/0000-0003-2972-4857"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Doron Levy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033971904","display_name":"Gabriella Puppo","orcid":"https://orcid.org/0000-0003-3953-5566"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gabriella Puppo","raw_affiliation_strings":["POLYTECHNIC UNIVERSITY OF TURIN"],"affiliations":[{"raw_affiliation_string":"POLYTECHNIC UNIVERSITY OF TURIN","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037976295","display_name":"Giovanni Russo","orcid":"https://orcid.org/0000-0003-4215-1926"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Russo","raw_affiliation_strings":["University of Catania"],"affiliations":[{"raw_affiliation_string":"University of Catania","institution_ids":["https://openalex.org/I39063666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039302286"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.6897,"has_fulltext":false,"cited_by_count":145,"citation_normalized_percentile":{"value":0.98830912,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"24","issue":"2","first_page":"480","last_page":"506"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991000294685364,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9947999715805054,"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/conservation-law","display_name":"Conservation law","score":0.8245282173156738},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7947062253952026},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.539866030216217},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4909527599811554},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4720621705055237},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4358731508255005},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42235061526298523},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4157640337944031},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4136328101158142},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3250276446342468},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3167833983898163},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2826434373855591},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1941528618335724}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8245282173156738},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7947062253952026},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.539866030216217},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4909527599811554},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4720621705055237},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4358731508255005},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42235061526298523},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4157640337944031},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4136328101158142},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3250276446342468},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3167833983898163},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2826434373855591},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1941528618335724},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1064827501385852","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501385852","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:CiteSeerX.psu:10.1.1.433.9236","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.433.9236","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cscamm.umd.edu/centpack/publications/files/Levy-Puppo-Russo_CWENO4_SISSC02-centpack.pdf","raw_type":"text"},{"id":"pmh:oai:porto.polito.it:1404237","is_oa":false,"landing_page_url":"http://porto.polito.it/1404237/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1064-8275","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W83779025","https://openalex.org/W199430607","https://openalex.org/W1554134448","https://openalex.org/W1886421468","https://openalex.org/W1968729685","https://openalex.org/W1972759058","https://openalex.org/W1973481688","https://openalex.org/W1983402014","https://openalex.org/W1987559871","https://openalex.org/W1990142375","https://openalex.org/W1990739729","https://openalex.org/W1999399767","https://openalex.org/W2000450704","https://openalex.org/W2007255973","https://openalex.org/W2008076987","https://openalex.org/W2027087330","https://openalex.org/W2028550140","https://openalex.org/W2039150507","https://openalex.org/W2042336927","https://openalex.org/W2042707778","https://openalex.org/W2045849310","https://openalex.org/W2048475936","https://openalex.org/W2054662916","https://openalex.org/W2084604678","https://openalex.org/W2087087179","https://openalex.org/W2102668134","https://openalex.org/W2112548197","https://openalex.org/W2122177687","https://openalex.org/W2123718946","https://openalex.org/W2126118053","https://openalex.org/W2131134107","https://openalex.org/W2147091015","https://openalex.org/W2156669471","https://openalex.org/W2157862867","https://openalex.org/W2158522603","https://openalex.org/W2170281894","https://openalex.org/W4230576576"],"related_works":["https://openalex.org/W1995118522","https://openalex.org/W64916076","https://openalex.org/W2090020940","https://openalex.org/W4364366001","https://openalex.org/W2032233321","https://openalex.org/W1072895066","https://openalex.org/W2894005322","https://openalex.org/W2565229889","https://openalex.org/W4213003931","https://openalex.org/W2607078461"],"abstract_inverted_index":{"We":[0],"present":[1],"the":[2,31,54,68,71,87,94,102,113,116],"first":[3],"fourth-order":[4],"central":[5,21,62],"scheme":[6,103],"for":[7],"two-dimensional":[8,38],"hyperbolic":[9],"systems":[10],"of":[11,27,50,56,70,96,101,115,124],"conservation":[12],"laws.":[13],"Our":[14],"new":[15,65],"method":[16,29,66],"is":[17,30,40,76,84],"based":[18],"on":[19,93],"a":[20,36,47,82,122],"weighted":[22],"nonoscillatory":[23],"approach.":[24,73],"The":[25,98],"heart":[26],"our":[28,64],"reconstruction":[32],"step,":[33],"in":[34,53,78,121],"which":[35],"genuinely":[37],"interpolant":[39],"reconstructed":[41],"from":[42],"cell":[43],"averages":[44],"by":[45],"taking":[46],"convex":[48],"combination":[49],"building":[51],"blocks":[52],"form":[55],"biquadratic":[57],"polynomials.":[58],"Similarly":[59],"to":[60,80,85,109],"other":[61],"schemes,":[63],"enjoys":[67],"simplicity":[69],"black-box":[72],"All":[74],"that":[75],"required":[77],"order":[79],"solve":[81],"problem":[83],"supply":[86],"flux":[88],"function":[89],"and":[90,112],"an":[91],"estimate":[92],"speed":[95],"propagation.":[97],"high-resolution":[99],"properties":[100],"as":[104,106],"well":[105],"its":[107],"resistance":[108],"mesh":[110],"orientation,":[111],"effectiveness":[114],"componentwise":[117],"approach,":[118],"are":[119],"demonstrated":[120],"variety":[123],"numerical":[125],"examples.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
