Filon trapezoidal schemes for Hankel transforms of orders zero and one (Q1591941)
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scientific article; zbMATH DE number 1550653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Filon trapezoidal schemes for Hankel transforms of orders zero and one |
scientific article; zbMATH DE number 1550653 |
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Filon trapezoidal schemes for Hankel transforms of orders zero and one (English)
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14 January 2001
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Algorithms for evaluating Hankel transforms of orders zero and one using a Filon quadrature philosphy [see \textit{L. N. G. Filon}, Proc. R. Soc. Edinb. 49, 38-47 (1928/29; JFM 55.0946.02)] are presented. The approach is a generalization of the trapezoidal quadrature scheme. Basic formulas for these Filon/trapezoidal schemes for the above transforms are given. Numerical examples for both of them are also discussed.
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Hankel transforms of orders zero and one
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algorithms
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numerical examples
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quadrature scheme
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Filon/trapezoidal schemes
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