Recurrent evaluation of integrals of the type $\int^1_0x^\alpha\sin 2\pi px dx$, $\int^1_0x^\alpha\cos 2\pi px dx$ with respect to numerical stability

Chvála, František

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Publication date

January 1975

DOI

10.1007/BF02165234

Publisher

Matematický ústav AV ČR

Abstract

summary:The paper deals with recurrent processes for the evalutaion of integrals occurring in the numerical Fourier analysis. The problem of preventing a substantial influence of round-off errors accumulation is discussed and a numerically stable algorithm is developed. The theory is supplied with illustrative numerical examples

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Recurrent evaluation of integrals of the type $\int^1_0x^\alpha\sin 2\pi px dx$, $\int^1_0x^\alpha\cos 2\pi px dx$ with respect to numerical stability

Abstract

Extracted data

Recurrent evaluation of integrals of the type $\int^1_0x^\alpha\sin 2\pi px dx$, $\int^1_0x^\alpha\cos 2\pi px dx$ with respect to numerical stability

Abstract

Extracted data

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