{"id":"https://openalex.org/W2170590789","doi":"https://doi.org/10.1137/040614189","title":"Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws","display_name":"Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2170590789","doi":"https://doi.org/10.1137/040614189","mag":"2170590789"},"language":"en","primary_location":{"id":"doi:10.1137/040614189","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040614189","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/A5091293976","display_name":"Alexander Kurganov","orcid":"https://orcid.org/0000-0003-0231-986X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander Kurganov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103364365","display_name":"Guergana Petrova","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guergana Petrova","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5001592507","display_name":"Bojan Popov","orcid":"https://orcid.org/0000-0002-6837-2404"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bojan Popov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7175,"has_fulltext":false,"cited_by_count":136,"citation_normalized_percentile":{"value":0.9495344,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"29","issue":"6","first_page":"2381","last_page":"2401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983000159263611,"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":0.9970999956130981,"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":0.8624279499053955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.747657299041748},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5837426781654358},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5319737792015076},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5159409642219543},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.4894832372665405},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4779417812824249},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.42742612957954407},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.42567798495292664},{"id":"https://openalex.org/keywords/flux-limiter","display_name":"Flux limiter","score":0.41178151965141296},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.36278092861175537},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3047003746032715},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.16654178500175476}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8624279499053955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.747657299041748},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5837426781654358},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5319737792015076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5159409642219543},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.4894832372665405},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4779417812824249},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.42742612957954407},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.42567798495292664},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.41178151965141296},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.36278092861175537},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3047003746032715},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.16654178500175476},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/040614189","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040614189","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.6800000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W285505819","https://openalex.org/W860677839","https://openalex.org/W1555627060","https://openalex.org/W1576802482","https://openalex.org/W1975706278","https://openalex.org/W1981825355","https://openalex.org/W1982227924","https://openalex.org/W1993811803","https://openalex.org/W2000450704","https://openalex.org/W2008076987","https://openalex.org/W2014519896","https://openalex.org/W2022749544","https://openalex.org/W2026073961","https://openalex.org/W2028550140","https://openalex.org/W2039150507","https://openalex.org/W2042336927","https://openalex.org/W2045849310","https://openalex.org/W2048475936","https://openalex.org/W2049514147","https://openalex.org/W2051720250","https://openalex.org/W2060976754","https://openalex.org/W2071222464","https://openalex.org/W2075776956","https://openalex.org/W2078584273","https://openalex.org/W2083852848","https://openalex.org/W2084413738","https://openalex.org/W2088087891","https://openalex.org/W2096129790","https://openalex.org/W2098781861","https://openalex.org/W2108433712","https://openalex.org/W2112548197","https://openalex.org/W2116729868","https://openalex.org/W2123718946","https://openalex.org/W2126171617","https://openalex.org/W2139737621","https://openalex.org/W2145968535","https://openalex.org/W2157862867","https://openalex.org/W2158522603","https://openalex.org/W2234176598","https://openalex.org/W2322281562","https://openalex.org/W2331617037","https://openalex.org/W2735768315"],"related_works":["https://openalex.org/W1672500991","https://openalex.org/W2091196763","https://openalex.org/W2041609367","https://openalex.org/W2951370668","https://openalex.org/W2185663736","https://openalex.org/W1969613191","https://openalex.org/W2036392749","https://openalex.org/W2277758822","https://openalex.org/W3014679951","https://openalex.org/W1993094738"],"abstract_inverted_index":{"We":[0,107,197],"discover":[1],"that":[2,28,49,77,98,114,177],"the":[3,29,38,43,56,66,94,100,116,119,123,129,134,162,183,194,199,204,219,222,239,246],"choice":[4],"of":[5,15,58,111,118,152,193,221,235,245],"a":[6,51,109,170,190,211],"piecewise":[7],"polynomial":[8],"reconstruction":[9,202,217],"is":[10,90],"crucial":[11],"in":[12,65,86,92,150,218],"computing":[13],"solutions":[14,71,76,80,151],"nonconvex":[16,153],"hyperbolic":[17],"(systems":[18],"of)":[19],"conservation":[20,154,236],"laws.":[21],"Using":[22],"semidiscrete":[23],"central-upwind":[24],"schemes,":[25],"we":[26,168],"illustrate":[27],"obtained":[30],"numerical":[31,112,226],"approximations":[32],"may":[33,45,142,158],"fail":[34,143,159],"to":[35,37,73,75,128,144,160,180,188],"converge":[36,74],"unique":[39,95,130,184],"entropy":[40,79,83,101,131,185],"solution":[41,97,186],"or":[42],"convergence":[44,117],"be":[46],"so":[47],"slow":[48],"achieving":[50],"proper":[52],"resolution":[53,192],"would":[54],"require":[55],"use":[57,198],"(almost)":[59],"impractically":[60],"fine":[61],"meshes.":[62],"For":[63],"example,":[64],"scalar":[67,232],"case,":[68],"all":[69,104],"computed":[70,121,195],"seem":[72],"are":[78],"for":[81,103],"some":[82],"pairs.":[84],"However,":[85],"most":[87],"applications,":[88],"one":[89],"interested":[91],"capturing":[93],"(Kruzhkov)":[96],"satisfies":[99],"condition":[102],"convex":[105],"entropies.":[106],"present":[108,149],"number":[110],"examples":[113,227],"demonstrate":[115,238],"solutions,":[120],"with":[122],"dissipative":[124,200],"second-order":[125],"minmod":[126,201],"reconstruction,":[127],"solution.":[132,164,196],"At":[133],"same":[135],"time,":[136],"more":[137],"compressive":[138],"and/or":[139],"higher-order":[140],"reconstructions":[141],"resolve":[145],"composite":[146],"waves,":[147],"typically":[148],"laws,":[155],"and":[156,172,187,209,230,233,242],"thus":[157],"recover":[161],"Kruzhkov":[163],"In":[165],"this":[166],"paper,":[167],"propose":[169],"simple":[171],"computationally":[173],"inexpensive":[174],"adaptive":[175,248],"strategy":[176],"allows":[178],"us":[179],"simultaneously":[181],"capture":[182],"achieve":[189],"high":[191],"near":[203],"points":[205],"where":[206],"convexity":[207],"changes":[208],"utilize":[210],"fifth-order":[212],"weighted":[213],"essentially":[214],"nonoscillatory":[215,243],"(WENO5)":[216],"rest":[220],"computational":[223],"domain.":[224],"Our":[225],"(for":[228],"one-":[229],"two-dimensional":[231],"systems":[234],"laws)":[237],"robustness,":[240],"reliability,":[241],"nature":[244],"proposed":[247],"method.":[249]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
