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Zbl 0841.65124
Ehrenmark, Ulf Torsten
The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature. (English)
[J] J. Comput. Appl. Math. 61, No.1, 43-72 (1995). ISSN 0377-0427

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.
[Hu Chuangan (Tianjin)]
MSC 2000:
*65R10 Integral transforms (numerical methods)
44A15 Special transforms

Keywords: Helmholtz equation; quadrature method; Macdonald function as kernel; Abel-summable integral; numerical inversion; Kontorovich-Lebedev transform; Kelvin functions as kernels; divergent inversion integral

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