{"id":"https://openalex.org/W4388464634","doi":"https://doi.org/10.1137/23n97579x","title":"SIGEST","display_name":"SIGEST","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388464634","doi":"https://doi.org/10.1137/23n97579x"},"language":"en","primary_location":{"id":"doi:10.1137/23n97579x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/23n97579x","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","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/A5108286254","display_name":"The Editors","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"The Editors","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5108286254"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21898632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"4","first_page":"1107","last_page":"1107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7023600339889526},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6928173303604126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6803960204124451},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6580847501754761},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6541628241539001},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6519586443901062},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6348955631256104},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5384632349014282},{"id":"https://openalex.org/keywords/inviscid-flow","display_name":"Inviscid flow","score":0.4778549373149872},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.4774247109889984},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.46125519275665283},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3290669918060303},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10594835877418518},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.09282183647155762}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7023600339889526},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6928173303604126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6803960204124451},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6580847501754761},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6541628241539001},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6519586443901062},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6348955631256104},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5384632349014282},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.4778549373149872},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.4774247109889984},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.46125519275665283},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3290669918060303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10594835877418518},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.09282183647155762},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23n97579x","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/23n97579x","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3011178584","https://openalex.org/W2118166611","https://openalex.org/W1979767191","https://openalex.org/W3011550360","https://openalex.org/W2030648747","https://openalex.org/W3166508280","https://openalex.org/W3140967440","https://openalex.org/W3119573441","https://openalex.org/W2120874885","https://openalex.org/W2151193444"],"abstract_inverted_index":{"The":[0,86],"SIGEST":[1,52,328],"article":[2,329,340],"in":[3,146,163,238,245,295,300,387],"this":[4,26,42,50,108,118,155,217,281,296,317],"issue":[5],"is":[6,34,56,92,150,218,222],"\u201cAre":[7],"Adaptive":[8],"Galerkin":[9,126,148,161,227,260,304,349,392],"Schemes":[10],"Dissipative?\u201d":[11],"by":[12,36,224,341],"Rodrigo":[13],"M.":[14],"Pereira,":[15],"Natacha":[16],"Nguyen":[17],"van":[18],"yen,":[19],"Kai":[20],"Schneider,":[21],"and":[22,100,112,124,173,212,240,247,263,311,377,394,413,418],"Marie":[23],"Farge.":[24],"\u201cAlthough":[25],"may":[27],"seem":[28],"a":[29,81,93,176,219,343,353,361,403],"paradox,":[30],"all":[31],"exact":[32,268,290],"science":[33],"dominated":[35],"the":[37,58,70,74,77,130,142,147,157,165,192,197,201,205,230,234,241,256,259,267,272,278,327,330,369,382],"idea":[38,71],"of":[39,60,72,84,96,132,144,167,233,258,319,368,384,400,406],"approximation.\u201d":[40],"With":[41],"quote":[43],"from":[44,47],"Bertrand":[45],"Russell":[46],"1931":[48],"commences":[49],"issue's":[51],"article.":[53],"Indeed,":[54],"approximation":[55,109],"at":[57],"core":[59],"mathematics":[61],"associated":[62,193],"to":[63,76,106,402,415,423],"studying":[64,180,225],"partial":[65],"differential":[66],"equations":[67,244,262,280],"(PDEs)":[68],"with":[69,80,184],"approximating":[73],"solution":[75,203,257,270],"continuous":[78,202,365],"equation":[79,237],"finite":[82,87,121,207],"number":[83,143,166],"modes.":[85],"element":[88,122,208],"method":[89,131],"for":[90,138,179,229,271,277,306,316,321,352,381],"PDEs":[91,141,182,320,425],"prime":[94],"exemplar":[95],"such":[97],"an":[98,322,379],"approximation,":[99],"much":[101],"research":[102],"has":[103],"been":[104],"dedicated":[105],"getting":[107],"as":[110,115],"accurate":[111],"computationally":[113],"efficient":[114],"possible.":[116],"In":[117,154,187],"context,":[119],"adaptive":[120,160,226,252,302,348,391],"methods":[123,127,350,393],"especially":[125],"are":[128,210,293],"often":[129],"choice.":[133],"Here,":[134],"typically,":[135],"when":[136],"used":[137],"solving":[139],"evolutionary":[140,181],"modes":[145,168],"scheme":[149],"fixed":[151],"over":[152,171],"time.":[153],"article,":[156],"authors":[158,331],"consider":[159],"schemes":[162,228,254,305],"which":[164],"can":[169,284],"change":[170],"time,":[172],"they":[174,189],"introduce":[175,213],"mathematical":[177,355,396],"framework":[178],"discretized":[183],"these":[185],"schemes.":[186],"particular,":[188,301],"show":[190,250],"that":[191,199,251],"projection":[194],"operators,":[195],"i.e.,":[196],"operators":[198],"project":[200],"onto":[204],"finite-dimensional":[206],"spaces,":[209],"discontinuous":[211],"energy":[214],"dissipation.":[215],"That":[216],"significant":[220],"result":[221],"demonstrated":[223],"time":[231,375],"evolution":[232],"inviscid":[235,273,370],"Burgers":[236,274,371],"1D":[239],"incompressible":[242],"Euler":[243,279],"2D":[246],"3D.":[248],"They":[249,357],"wavelet":[253,303,366,388],"regularize":[255],"truncated":[261],"yield":[264],"convergence":[265],"towards":[266],"dissipative":[269],"equation.":[275],"Also":[276],"regularizing":[282],"effect":[283],"be":[285,399],"numerically":[286],"observed":[287],"though":[288],"no":[289],"reference":[291],"solutions":[292],"available":[294],"case.":[297],"This":[298],"motivates,":[299],"nonlinear":[307],"hyperbolic":[308],"conservation":[309],"laws":[310],"leave":[312],"their":[313,334,395],"systematic":[314],"study":[315,410],"class":[318],"interesting":[323],"future":[324],"work.":[325],"For":[326],"have":[332,358],"expanded":[333],"original":[335],"Multiscale":[336],"Modeling":[337],"&":[338],"Simulation":[339],"providing":[342],"more":[344],"comprehensive":[345],"discussion":[346],"on":[347,364],"fit":[351],"general":[354],"audience.":[356],"also":[359,414],"added":[360,378],"new":[362],"section":[363],"analysis":[367],"equation,":[372],"analyzing":[373],"its":[374],"evolution,":[376],"illustration":[380],"development":[383],"thermal":[385],"resonances":[386],"space.":[389],"Overall,":[390],"properties":[397],"will":[398],"interest":[401],"wide":[404],"range":[405],"applied":[407,416],"mathematicians":[408],"who":[409,421],"PDE":[411],"models,":[412],"analysts":[417,420],"numerical":[419],"wish":[422],"simulate":[424],"numerically.":[426]},"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2023-11-08T00:00:00"}
