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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. (English). Aplikace matematiky, vol. 20 (1975), issue 3, pp. 206-215
MSC: 41A55, 65D20, 65D30, 65T05 | MR 0371129 | Zbl 0307.65033 | DOI: 10.21136/AM.1975.103584
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.
References:
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