On the computation of Fourier transforms of singular functions (Q1195727)
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scientific article; zbMATH DE number 85928
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the computation of Fourier transforms of singular functions |
scientific article; zbMATH DE number 85928 |
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On the computation of Fourier transforms of singular functions (English)
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18 January 1993
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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.
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singular functions
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Chebyshev polynomials
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numerical examples
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finite complex Fourier transforms
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endpoint singularities
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Clenshaw-Curtis quadrature
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recurrence relations
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