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Numerical Verification of Industrial Numerical Codes

Christophe Denis, Sethy Montan (2012)

ESAIM: Proceedings

Several approximations occur during a numerical simulation: physical effects mapy be discarded, continuous functions replaced by discretized ones and real numbers replaced by finite-precision representations. The use of the floating point arithmetic generates round-off errors at each arithmetical expression and some mathematical properties are lost. The aim of the numerical verification activity at EDF R&D is to study the effect of the round-off error propagation on the results of a numerical...

Numeric-analytical construction of Mathieu functions

Yu. A. Ryabov (1999)

Mathematica Bohemica

In this paper we present an iterative algorithm for the construction of Mathieu functions of any order N in the form of Fourier series (practically, polynomials), and also the corresponding Quick-BASIC program for realization of this algorithm with numerical values of the parameter.

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