The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature (Q1903651)
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scientific article; zbMATH DE number 825281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature |
scientific article; zbMATH DE number 825281 |
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The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature (English)
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1 February 1996
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The numerical inversion of the Kontorovich-Lebedev transform is examined by using direct quadrature techniques. A set of routines for tabulating the Macdonald and Kelvin functions as kernels is designed, and an application to a divergent inversion integral, summable in the sense of Abel is made.
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Helmholtz equation
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quadrature method
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Macdonald function as kernel
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Abel-summable integral
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numerical inversion
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Kontorovich-Lebedev transform
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Kelvin functions as kernels
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divergent inversion integral
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