Error Analysis for the Euler Equations in Purely Algebraic Form

dc.contributor.authorMehrmann, Volker
dc.contributor.authorStolwijk, Jeroen J.
dc.date.accessioned2021-12-17T10:13:40Z
dc.date.available2021-12-17T10:13:40Z
dc.date.issued2015-04-17
dc.description.abstractThe presented work contains both a theoretical and a statistical error analysis for the Euler equations in purely algebraic form, also called the Weymouth equations or the temperature dependent algebraic model. These equations are obtained by performing several simplifications of the full Euler equations, which model the gas flow through a pipeline. The statistical analysis is performed using both a Monte Carlo Simulation and the Univariate Reduced Quadrature Method and is used to illustrate and confirm the obtained theoretical results.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15853
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14626
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othererror analysisen
dc.subject.otherroundoff erroren
dc.subject.othermeasurement erroren
dc.subject.othercondition numberen
dc.subject.otherbackward erroren
dc.subject.otherstatistical analysisen
dc.titleError Analysis for the Euler Equations in Purely Algebraic Formen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2015, 06en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065G50 Roundoff erroren
tub.subject.msc200065G30 Interval and finite arithmeticen
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