Geodesic
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
Applications of Mathematics, Tome 20 (1975) no. 3, pp. 206-215
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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.
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.
DOI : 10.21136/AM.1975.103584
Classification : 41A55, 65D20, 65D30, 65T05 
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Chvála, František. 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. Applications of Mathematics, Tome 20 (1975) no. 3, pp. 206-215. doi: 10.21136/AM.1975.103584

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