{"id":"https://openalex.org/W2050559023","doi":"https://doi.org/10.1137/s0036142903437106","title":"Fourth-Order Nonoscillatory Upwind and Central Schemes for Hyperbolic Conservation Laws","display_name":"Fourth-Order Nonoscillatory Upwind and Central Schemes for Hyperbolic Conservation Laws","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2050559023","doi":"https://doi.org/10.1137/s0036142903437106","mag":"2050559023"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142903437106","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903437106","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/A5005037627","display_name":"A. Balaguer","orcid":"https://orcid.org/0000-0003-0039-2641"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1ngel Balaguer","raw_affiliation_strings":["Polytechnic University of Valencia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnic University of Valencia","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004800501","display_name":"C.A.N. Conde","orcid":"https://orcid.org/0000-0002-1387-2161"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carlos Conde","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5494,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.88452554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"43","issue":"2","first_page":"455","last_page":"473"},"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":0.9965000152587891,"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/mathematics","display_name":"Mathematics","score":0.8891031742095947},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.8166191577911377},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6967193484306335},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.6604593992233276},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6049531102180481},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5586491823196411},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45977863669395447},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4280475378036499},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4154409170150757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4018954932689667},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33253517746925354},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.272895872592926}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8891031742095947},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8166191577911377},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6967193484306335},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.6604593992233276},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6049531102180481},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5586491823196411},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45977863669395447},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4280475378036499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4154409170150757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4018954932689667},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33253517746925354},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.272895872592926},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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":2,"locations":[{"id":"doi:10.1137/s0036142903437106","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903437106","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.434.3160","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.434.3160","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/Balaguer Conde 4thorder SINUM2005-centpack.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.699999988079071,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1972759058","https://openalex.org/W1973481688","https://openalex.org/W1975918412","https://openalex.org/W1976677956","https://openalex.org/W1983402014","https://openalex.org/W2000450704","https://openalex.org/W2000454003","https://openalex.org/W2002775473","https://openalex.org/W2007255973","https://openalex.org/W2008076987","https://openalex.org/W2027087330","https://openalex.org/W2028550140","https://openalex.org/W2039150507","https://openalex.org/W2042707778","https://openalex.org/W2045849310","https://openalex.org/W2048941652","https://openalex.org/W2054662916","https://openalex.org/W2067494951","https://openalex.org/W2073945818","https://openalex.org/W2080202186","https://openalex.org/W2084604678","https://openalex.org/W2094051484","https://openalex.org/W2112548197","https://openalex.org/W2122177687","https://openalex.org/W2145773696","https://openalex.org/W2156669471","https://openalex.org/W2158522603","https://openalex.org/W2167940142","https://openalex.org/W2778033595"],"related_works":["https://openalex.org/W2978948323","https://openalex.org/W2386817164","https://openalex.org/W2094862772","https://openalex.org/W4388397561","https://openalex.org/W4382766439","https://openalex.org/W4287661942","https://openalex.org/W2595463258","https://openalex.org/W2380080472","https://openalex.org/W2333051381","https://openalex.org/W2765737651"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,13,70,159,168],"this":[3,111,173],"work":[4],"is":[5,153],"to":[6,54,62,151],"solve":[7],"hyperbolic":[8],"conservation":[9],"laws":[10],"by":[11,156],"means":[12],"a":[14,84,139],"finite":[15],"volume":[16],"method":[17],"for":[18],"both":[19],"spatial":[20],"and":[21,32,45,57,117,126,175],"time":[22,80],"discretization.":[23],"We":[24],"extend":[25],"the":[26,68,71,95,99,114,118,144,160,166,169],"ideas":[27],"developed":[28],"in":[29,76,90,123,172,179],"[X.-D.":[30,124],"Liu":[31,44,125],"S.":[33,127],"Osher,":[34,128],"SIAM":[35,129],"J.":[36,130],"Numer.":[37,48,131],"Anal.,":[38,132],"33":[39,133],"(1996),":[40,134],"pp.":[41,52,135],"760--779;":[42],"X.-D.":[43],"E.":[46],"Tadmor,":[47],"Math.,":[49],"79":[50],"(1998),":[51],"397--425]":[53],"fourth-order":[55,140],"upwind":[56],"central":[58],"schemes.":[59],"In":[60],"order":[61,167],"do":[63],"this,":[64],"once":[65],"we":[66,82,137],"know":[67],"cell-averages":[69,100],"solution,":[72],"$\\overline":[73],"{u}_j":[74,105],"^n$,":[75],"cells":[77],"$I_{j}$":[78],"at":[79],"$T=t^n$,":[81],"define":[83],"new":[85],"three-degree":[86],"reconstruction":[87,112],"polynomial":[88],"that":[89,142],"each":[91],"cell,":[92],"$I_{j}$,":[93],"presents":[94],"same":[96],"shape":[97],"as":[98],"$\\{":[101],"{\\overline":[102],"{u}_{j-1}":[103],"^n,\\overline":[104,106],"{u}_{j+1}":[107],"^n}\\}$.":[108],"By":[109],"combining":[110],"with":[113],"nonoscillatory":[115,177],"property":[116],"maximum":[119],"principle":[120],"requirement":[121],"described":[122],"760--779]":[136],"obtain":[138],"scheme":[141],"satisfies":[143],"total":[145],"variation":[146],"bounded":[147],"(TVB)":[148],"property.":[149],"Extension":[150],"systems":[152],"carried":[154],"out":[155],"componentwise":[157],"application":[158],"scalar":[161],"framework.":[162],"Numerical":[163],"experiments":[164],"confirm":[165],"schemes":[170],"presented":[171],"paper":[174],"their":[176],"behavior":[178],"different":[180],"test":[181],"problems.":[182]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}