Fast construction of Fejér and Clenshaw-Curtis rules for general weight functions

Authors:
Alvise Sommariva
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2013

Citing 6
Cited 0

Implementing Clenshaw-Curtis quadrature, I methodology and experience

Communications of the ACM
Implementing Clenshaw-Curtis quadrature, II computing the cosine transformation

Communications of the ACM
A Fast Algorithm for the Calculation of the Roots of Special Functions

SIAM Journal on Scientific Computing
Is Gauss Quadrature Better than Clenshaw-Curtis?

SIAM Review
A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function

Journal of Computational and Applied Mathematics
Symmetric convolution and the discrete sine and cosine transforms

IEEE Transactions on Signal Processing

Quantified Score

Hi-index	0.09

Visualization

Abstract

The main purpose of this paper is to compute the weights of Clenshaw-Curtis and Fejer type quadrature rules via DCT and DST, for general weight functions w. The approach is different from that used by Waldvogel (2006) in [10], where the author considered the computation of these sets only for the Legendre weight w=1 using DFT arguments.