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Preprint 06-2015

Error Analysis for the Euler Equations in Purely Algebraic Form

Source file is available as :   Portable Document Format (PDF)

Author(s) : Volker Mehrmann , Jeroen J. Stolwijk

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 06-2015

MSC 2000

65G50 Roundoff error
65G30 Interval and finite arithmetic

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.

Keywords : error analysis, roundoff error, measurement error, condition number, backward error, statistical analysis

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