Error Analysis for the Euler Equations in Purely Algebraic Form
dc.contributor.author | Mehrmann, Volker | |
dc.contributor.author | Stolwijk, Jeroen J. | |
dc.date.accessioned | 2021-12-17T10:13:40Z | |
dc.date.available | 2021-12-17T10:13:40Z | |
dc.date.issued | 2015-04-17 | |
dc.description.abstract | The 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15853 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14626 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | error analysis | en |
dc.subject.other | roundoff error | en |
dc.subject.other | measurement error | en |
dc.subject.other | condition number | en |
dc.subject.other | backward error | en |
dc.subject.other | statistical analysis | en |
dc.title | Error Analysis for the Euler Equations in Purely Algebraic Form | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2015, 06 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 65G50 Roundoff error | en |
tub.subject.msc2000 | 65G30 Interval and finite arithmetic | en |
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