{"id":"https://openalex.org/W4394761857","doi":"https://doi.org/10.1137/23m158629x","title":"The Runge\u2013Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws","display_name":"The Runge\u2013Kutta Discontinuous Galerkin Method with Compact Stencils for Hyperbolic Conservation Laws","publication_year":2024,"publication_date":"2024-04-12","ids":{"openalex":"https://openalex.org/W4394761857","doi":"https://doi.org/10.1137/23m158629x"},"language":"en","primary_location":{"id":"doi:10.1137/23m158629x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m158629x","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/A5104249358","display_name":"Qifan Chen","orcid":"https://orcid.org/0009-0003-0790-6972"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qifan Chen","raw_affiliation_strings":["Department of Mathematics, The Ohio State University, Columbus, OH 43210 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, Columbus, OH 43210 USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000504797","display_name":"Zheng Sun","orcid":"https://orcid.org/0000-0003-3763-3015"},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zheng Sun","raw_affiliation_strings":["Department of Mathematics, The University of Alabama, Tuscaloosa, AL 35487 USA"],"raw_orcid":"https://orcid.org/0000-0003-3763-3015","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Alabama, Tuscaloosa, AL 35487 USA","institution_ids":["https://openalex.org/I17301866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021293562","display_name":"Yulong Xing","orcid":"https://orcid.org/0000-0002-3504-6194"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yulong Xing","raw_affiliation_strings":["Department of Mathematics, The Ohio State University, Columbus, OH 43210 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, Columbus, OH 43210 USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5897,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88551596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"46","issue":"2","first_page":"A1327","last_page":"A1351"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.8814976215362549},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8754532933235168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7939258813858032},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.7686711549758911},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6868689060211182},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.498476505279541},{"id":"https://openalex.org/keywords/flux-limiter","display_name":"Flux limiter","score":0.48408380150794983},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45793062448501587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44246381521224976},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4109806716442108},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2656489908695221}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8814976215362549},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8754532933235168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7939258813858032},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.7686711549758911},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6868689060211182},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.498476505279541},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.48408380150794983},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45793062448501587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44246381521224976},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4109806716442108},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2656489908695221},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m158629x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m158629x","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":[{"score":0.699999988079071,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G3998814077","display_name":null,"funder_award_id":"DMS-1753581","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5076171395","display_name":null,"funder_award_id":"DMS-2208391","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6482061595","display_name":null,"funder_award_id":"DMS-2309590","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W191599861","https://openalex.org/W1486816047","https://openalex.org/W1513760541","https://openalex.org/W1973481688","https://openalex.org/W1975036160","https://openalex.org/W1976883414","https://openalex.org/W1982465309","https://openalex.org/W1982883068","https://openalex.org/W1984280619","https://openalex.org/W1988507032","https://openalex.org/W1999399767","https://openalex.org/W2006321195","https://openalex.org/W2019767773","https://openalex.org/W2027592715","https://openalex.org/W2035525708","https://openalex.org/W2042729261","https://openalex.org/W2050369924","https://openalex.org/W2067870952","https://openalex.org/W2074037040","https://openalex.org/W2078124515","https://openalex.org/W2085961649","https://openalex.org/W2100903519","https://openalex.org/W2116729868","https://openalex.org/W2463552244","https://openalex.org/W2672330717","https://openalex.org/W2793622376","https://openalex.org/W3116961995","https://openalex.org/W4252060206","https://openalex.org/W4307907529"],"related_works":["https://openalex.org/W2726528067","https://openalex.org/W2031803127","https://openalex.org/W2129573473","https://openalex.org/W2041609367","https://openalex.org/W2380255313","https://openalex.org/W2091196763","https://openalex.org/W2154700905","https://openalex.org/W1993547033","https://openalex.org/W1964985536","https://openalex.org/W2951370668"],"abstract_inverted_index":{".In":[0],"this":[1],"paper,":[2],"we":[3],"develop":[4],"a":[5],"new":[6,27,108],"type":[7],"of":[8,82],"Runge\u2013Kutta":[9],"(RK)":[10],"discontinuous":[11],"Galerkin":[12,133],"(DG)":[13],"method":[14,28,92,110],"for":[15,56,66,79,123,129],"solving":[16],"hyperbolic":[17],"conservation":[18,139],"laws.":[19],"Compared":[20],"with":[21],"the":[22,26,61,67,76,80,88,107,115],"original":[23,116],"RKDG":[24,109,117],"method,":[25,118],"features":[29],"improved":[30],"compactness":[31],"and":[32,60,93,97],"allows":[33],"simple":[34],"boundary":[35],"treatment.":[36],"The":[37],"key":[38],"idea":[39],"is":[40,111],"to":[41,104],"hybridize":[42],"two":[43],"different":[44],"spatial":[45,64],"operators":[46],"in":[47],"an":[48],"explicit":[49],"RK":[50,58],"scheme,":[51],"utilizing":[52],"local":[53],"projected":[54],"derivatives":[55],"inner":[57],"stages":[59],"usual":[62],"DG":[63,95],"discretization":[65],"final":[68,77],"stage":[69,78],"only.":[70],"Limiters":[71],"are":[72,102],"applied":[73],"only":[74],"at":[75],"control":[81],"spurious":[83],"oscillations.":[84],"We":[85],"also":[86],"explore":[87],"connections":[89],"between":[90],"our":[91],"Lax\u2013Wendroff":[94],"schemes":[96],"ADER-DG":[98],"schemes.":[99],"Numerical":[100],"examples":[101],"given":[103],"confirm":[105],"that":[106],"as":[112,114],"accurate":[113],"while":[119],"being":[120],"more":[121],"compact,":[122],"problems":[124],"including":[125],"two-dimensional":[126],"Euler":[127],"equations":[128],"compressible":[130],"gas":[131],"dynamics.Keywordsdiscontinuous":[132],"methodRunge\u2013Kutta":[134],"methodstencil":[135],"sizehigh-order":[136],"numerical":[137],"methodconvergencehyperbolic":[138],"lawsMSC":[140],"codes65L0665M1265M2065M60":[141]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}