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Using a Separable Mathematical Entropy to Construct Entropy-Stable Schemes for a Reduced Blood Flow Model

dc.contributor.authorValbuena, Sonia
dc.contributor.otherVega, Carlos A.
dc.date.accessioned2022-11-15T19:11:11Z
dc.date.available2022-11-15T19:11:11Z
dc.date.issued2022-09-13
dc.date.submitted2022-07-19
dc.identifier.citationValbuena, S.; Vega, C.A. Using a Separable Mathematical Entropy to Construct Entropy-Stable Schemes for a Reduced Blood Flow Model. Mathematics 2022, 10, 3314. https://doi.org/10.3390/ math10183314spa
dc.identifier.urihttps://hdl.handle.net/20.500.12834/766
dc.description.abstractThe aim of this paper is to derive a separable entropy for a one-dimensional reduced blood flow model, which will be used to treat the symmetrizability of the model in full generality and for constructing entropy conservative fluxes, which are one of the essential building blocks of designing entropy-stable schemes. Time discretization is conducted by implicit–explicit (IMEX) Runge–Kutta schemes, but solutions for nonlinear systems will not be required due to the particular form of the source term. To validate the numerical schemes obtained, some numerical tests are presented.spa
dc.description.sponsorshipUniversidad del Atlánticospa
dc.format.mimetypeapplication/pdfspa
dc.language.isoengspa
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.sourceMathematicsspa
dc.titleUsing a Separable Mathematical Entropy to Construct Entropy-Stable Schemes for a Reduced Blood Flow Modelspa
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datacite.rightshttp://purl.org/coar/access_right/c_abf2spa
oaire.resourcetypehttp://purl.org/coar/resource_type/c_2df8fbb1spa
oaire.versionhttp://purl.org/coar/version/c_b1a7d7d4d402bccespa
dc.audiencePúblico generalspa
dc.identifier.doi10.3390/ math10183314
dc.identifier.instnameUniversidad del Atlánticospa
dc.identifier.reponameRepositorio Universidad del Atlánticospa
dc.rights.ccAttribution-NonCommercial 4.0 International*
dc.subject.keywordsblood flow modelspa
dc.subject.keywordsentropy pairspa
dc.subject.keywordssymmetrizabilityspa
dc.subject.keywordsentropy conservative fluxspa
dc.subject.keywordsIMEX schemesspa
dc.type.driverinfo:eu-repo/semantics/articlespa
dc.type.hasVersioninfo:eu-repo/semantics/draftspa
dc.type.spaArtículospa
dc.publisher.placeBarranquillaspa
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessspa
dc.publisher.disciplineLicenciatura en Matemáticasspa
dc.publisher.sedeSede Nortespa


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