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

Authors :
Sommariva, Alvise
Source :
Computers & Mathematics with Applications. Feb2013, Vol. 65 Issue 4, p682-693. 12p.
Publication Year :
2013

Abstract

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 . 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 using DFT arguments. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08981221
Volume :
65
Issue :
4
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
85281243
Full Text :
https://doi.org/10.1016/j.camwa.2012.12.004