Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 65, Issue 4, Pages 682-693Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2012.12.004
Keywords
Fejer rules; Clenshaw-Curtis rules; Discrete Cosine Transform; Discrete Sine Transform; Gegenbauer weight function; Trigonometric quadrature
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Funding
- University of Padova
- INdAM GNCS
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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 equivalent to 1 using OFT arguments. (C) 2012 Elsevier Ltd. All rights reserved.
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