On the computation of Fourier transforms of singular functions
type: Item
instance of: scholarly article
title: On the computation of Fourier transforms of singular functions
zbMATH Open document ID: 0762.65099
DOI: 10.1016/0377-0427(92)90264-X
author: Maria Branders
author: Robert Piessens
published in: Journal of Computational and Applied Mathematics
publication date: 1993-01-18T00:00:00Z
review text: The authors describe a method for the computation of finite complex Fourier transforms of functions with endpoint singularities of algebraic or logarithmic type. This procedure is a modified Clenshaw-Curtis quadrature. The nonoscillatory and nonsingular part of the integrand is replaced by a truncated Chebyshev series and the integral is then evaluated by recurrence relations. Numerical examples are given.
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 85928
zbMATH Keywords: singular functions
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: numerical examples
zbMATH Keywords: finite complex Fourier transforms
zbMATH Keywords: endpoint singularities
zbMATH Keywords: Clenshaw-Curtis quadrature
zbMATH Keywords: recurrence relations
reviewed by: Manfred Tasche
describes a project that uses: QUADPACK
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 85928