{"id":"https://openalex.org/W7161606681","doi":"https://doi.org/10.48550/arxiv.2605.15770","title":"Adaptive Artificial Anti-Diffusion Methods for Hyperbolic Systems of Conservation Laws","display_name":"Adaptive Artificial Anti-Diffusion Methods for Hyperbolic Systems of Conservation Laws","publication_year":2026,"publication_date":"2026-05-15","ids":{"openalex":"https://openalex.org/W7161606681","doi":"https://doi.org/10.48550/arxiv.2605.15770"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.15770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15770","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2605.15770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136453086","display_name":"Shaoshuai Chu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chu, Shaoshuai","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106608247","display_name":"Igor Kliakhandler","orcid":"https://orcid.org/0000-0001-7138-1830"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kliakhandler, Igor","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136380906","display_name":"Alexander Kurganov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kurganov, Alexander","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":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":0.5906000137329102,"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":0.5906000137329102,"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":0.24969999492168427,"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":0.05480000004172325,"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":0.7856000065803528},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7513999938964844},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.6998000144958496},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6488000154495239},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.5382000207901001},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.4555000066757202},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.436599999666214},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4043000042438507}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.7856000065803528},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7513999938964844},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.6998000144958496},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6488000154495239},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.5382000207901001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5249000191688538},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44859999418258667},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.436599999666214},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4043000042438507},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.37940001487731934},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3628000020980835},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.35190001130104065},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3402999937534332},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.29580000042915344},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.288100004196167},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.27549999952316284},{"id":"https://openalex.org/C52970973","wikidata":"https://www.wikidata.org/wiki/Q2497134","display_name":"Adaptive system","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27090001106262207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26669999957084656},{"id":"https://openalex.org/C52957995","wikidata":"https://www.wikidata.org/wiki/Q11382","display_name":"Conservation of energy","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C3020199158","wikidata":"https://www.wikidata.org/wiki/Q210521","display_name":"High resolution","level":2,"score":0.26089999079704285}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.15770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15770","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.15770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.15770","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":0.6835384368896484}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,145],"introduce":[1],"new":[2,177],"adaptive":[3],"artificial":[4],"anti-diffusion":[5,37],"(AAAD)":[6],"methods":[7,122],"for":[8,155],"one-":[9,157],"and":[10,96,158,165,172],"two-dimensional":[11,159],"hyperbolic":[12],"systems":[13],"of":[14,25,50,105,116,153,162,175],"conservation":[15],"laws.":[16],"The":[17,72,119],"key":[18],"idea":[19],"is":[20],"to":[21,81,84,92,97,109],"reduce":[22],"the":[23,48,64,85,89,94,102,106,127,138,147,156,166,170,176],"amount":[24],"numerical":[26,32,130],"dissipation":[27],"present":[28],"in":[29,41,67,101],"a":[30,111,151],"given":[31],"method":[33],"by":[34],"adding":[35],"an":[36],"(AD)":[38],"term":[39],"acting":[40],"linearly":[42],"degenerate":[43],"fields":[44,69],"only.":[45],"This":[46],"way,":[47],"resolution":[49,95,174],"contact":[51,90],"waves":[52,91],"can":[53],"be":[54,61,82,98],"improved":[55],"without":[56],"risking":[57],"oscillations,":[58],"which":[59],"may":[60],"caused":[62],"if":[63],"AD":[65,73],"acts":[66],"nonlinear":[68],"as":[70],"well.":[71],"coefficients":[74],"are":[75,79,123],"selected":[76],"adaptively:":[77],"they":[78],"supposed":[80],"proportional":[83],"mesh":[86],"size":[87],"near":[88],"enhance":[93],"very":[99],"small":[100],"smooth":[103],"parts":[104],"computed":[107],"solution":[108],"ensure":[110],"sufficiently":[112],"high":[113,173],"(formal)":[114],"order":[115],"accuracy":[117],"there.":[118],"proposed":[120,148],"AAAD":[121,178],"realized":[124],"using":[125],"either":[126],"second-order":[128],"central-upwind":[129],"fluxes":[131],"or":[132],"their":[133],"fifth-order":[134],"extensions":[135],"implemented":[136],"within":[137],"alternative":[139],"weighted":[140],"essentially":[141],"non-oscillatory":[142],"(A-WENO)":[143],"framework.":[144],"test":[146],"schemes":[149],"on":[150],"series":[152],"benchmarks":[154],"Euler":[160],"equations":[161],"gas":[163],"dynamics":[164],"obtained":[167],"results":[168],"demonstrate":[169],"robustness":[171],"methods.":[179]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-05-19T00:00:00"}