{"id":"https://openalex.org/W7147213933","doi":"https://doi.org/10.48550/arxiv.2603.27478","title":"A limiter-based approach to construct high-order fully-discrete entropy stable explicit DG schemes for hyperbolic conservation laws","display_name":"A limiter-based approach to construct high-order fully-discrete entropy stable explicit DG schemes for hyperbolic conservation laws","publication_year":2026,"publication_date":"2026-03-29","ids":{"openalex":"https://openalex.org/W7147213933","doi":"https://doi.org/10.48550/arxiv.2603.27478"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.27478","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.27478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.27478","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115596944","display_name":"Yuchang Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liu, Yuchang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132657566","display_name":"Wei Guo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guo, Wei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132722968","display_name":"Yan Jiang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiang, Yan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5132684348","display_name":"Zheng Sun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sun, Zheng","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5115596944"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.6144000291824341,"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":0.6144000291824341,"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":0.12809999287128448,"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/T11416","display_name":"Numerical methods for differential equations","score":0.04410000145435333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6510999798774719},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5803999900817871},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.46880000829696655},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.44760000705718994},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4235999882221222},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.3847000002861023},{"id":"https://openalex.org/keywords/flux-limiter","display_name":"Flux limiter","score":0.38100001215934753},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.2973000109195709}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6941999793052673},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6510999798774719},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5803999900817871},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5460000038146973},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.46880000829696655},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.44760000705718994},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4235999882221222},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.3847000002861023},{"id":"https://openalex.org/C10819784","wikidata":"https://www.wikidata.org/wiki/Q5463027","display_name":"Flux limiter","level":2,"score":0.38100001215934753},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35850000381469727},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.29510000348091125},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.29350000619888306},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2777000069618225},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2728999853134155},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.2615000009536743},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.25679999589920044}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.27478","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.27478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.27478","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.27478","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6392442584037781}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,24,57,65,85,118],"class":[4],"of":[5,33,125,153,160],"novel":[6],"high-order":[7,114],"fully-discrete":[8,50],"entropy":[9,51,83,135,162],"stable":[10],"(ES)":[11],"discontinuous":[12],"Galerkin":[13],"(DG)":[14],"schemes":[15],"with":[16,37],"explicit":[17],"time":[18,40,96],"discretization.":[19,73],"The":[20],"proposed":[21,76,110],"methodology":[22,77],"exploits":[23],"critical":[25],"observation":[26],"from":[27],"[4]":[28],"that":[29,108,122],"the":[30,70,75,109,123,126,133,146],"cell":[31,82],"averages":[32],"classical":[34],"DG":[35,91],"solutions":[36],"forward":[38],"Euler":[39,154],"stepping":[41],"satisfy":[42],"an":[43],"``entropy-stable-like''":[44],"property.":[45],"Building":[46],"on":[47],"this":[48],"result,":[49],"stability":[52],"is":[53,97],"rigorously":[54],"enforced":[55],"through":[56],"simple":[58],"Zhang--Shu-type":[59],"scaling":[60],"limiter":[61],"[45]":[62],"applied":[63],"as":[64],"post-processing":[66],"step,":[67],"without":[68],"modifying":[69],"underlying":[71],"spatial":[72],"Furthermore,":[74],"can":[78],"simultaneously":[79],"enforce":[80],"multiple":[81,161],"inequalities,":[84],"capability":[86],"unavailable":[87],"in":[88,95],"existing":[89],"ES":[90],"schemes.":[92],"High-order":[93],"accuracy":[94,115],"achieved":[98],"by":[99],"using":[100],"strong-stability-preserving":[101],"(SSP)":[102],"multistep":[103],"methods.":[104],"Theoretically,":[105],"we":[106],"prove":[107],"scheme":[111],"indeed":[112],"maintains":[113],"and":[116,143,150,164],"establish":[117],"Lax--Wendroff-type":[119],"theorem":[120],"guaranteeing":[121],"limit":[124],"numerical":[127,138],"solutions,":[128],"if":[129],"it":[130],"exists,":[131],"satisfies":[132],"desired":[134],"inequality.":[136],"Extensive":[137],"tests":[139],"for":[140],"scalar":[141],"equations":[142],"systems,":[144],"including":[145],"nonconvex":[147],"Buckley--Leverett":[148],"problem":[149],"extreme":[151],"examples":[152],"equations,":[155],"demonstrate":[156],"optimal":[157],"accuracy,":[158],"enforcement":[159],"conditions,":[163],"strong":[165],"robustness.":[166]},"counts_by_year":[],"updated_date":"2026-04-02T13:53:19.096889","created_date":"2026-04-02T00:00:00"}