The main purpose of this paper is to compute the weights of Clenshaw–Curtis and Fejér type quadrature rules via DCT and DST, for general weight functions w. The approach is different from that used by Waldvogel (2006), where the author considered the computation of these sets only for the Legendre weight w≡1 using DFT arguments.
Fast construction of Fejér and Clenshaw–Curtis rules for general weight functions
SOMMARIVA, ALVISE
2013
Abstract
The main purpose of this paper is to compute the weights of Clenshaw–Curtis and Fejér type quadrature rules via DCT and DST, for general weight functions w. The approach is different from that used by Waldvogel (2006), where the author considered the computation of these sets only for the Legendre weight w≡1 using DFT arguments.File in questo prodotto:
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