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New algorithms for the computation of Malyuzhinets' special function
Osipov, Andrey and Stein, Volker (1999) New algorithms for the computation of Malyuzhinets' special function. ICIAM 99, The Fourth International Congress on Industrial and Applied Mathematics, Edinburgh, Scotland, 5 - 9 July 1999.
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Official URL: http://www.ma.hw.ac.uk/iciam99/
Abstract
The paper presents new numerical techniques for computation of a special function introduced by G.D. Malyuzhinets to solve the canonical problem of diffraction of waves by a wedge with imperfectly reflecting (impedance) faces. Proposed schemes employ and combine various analytical representations of the function, including finite product, integral and large argument ones. In total, five numerical algorithms have been developed and implemented in FORTRAN subroutines differing from each other in accuracy and computational speed.
| Document Type: | Conference or Workshop Item (Speech) | ||||||
|---|---|---|---|---|---|---|---|
| Additional Information: | LIDO-Berichtsjahr=2000, | ||||||
| Title: | New algorithms for the computation of Malyuzhinets' special function | ||||||
| Authors: |
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| Date: | 1999 | ||||||
| Status: | Published | ||||||
| Keywords: | Malyuzhinets' special function, high-frequency scattering, impedance wedge, RCS | ||||||
| Event Title: | ICIAM 99, The Fourth International Congress on Industrial and Applied Mathematics, Edinburgh, Scotland, 5 - 9 July 1999 | ||||||
| Organizer: | Institute of Mathematics and its Application and International Centre for Mathematical Sciences | ||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||
| HGF - Program: | Aeronautics | ||||||
| HGF - Program Themes: | L - no assignement | ||||||
| DLR - Research area: | Aeronautics | ||||||
| DLR - Program: | L ST - Starrflüglertechnologien | ||||||
| DLR - Research theme (Project): | UNSPECIFIED | ||||||
| Location: | Oberpfaffenhofen | ||||||
| Institutes and Institutions: | Microwaves and Radar Institute | ||||||
| Deposited By: | Dr. Andrey Osipov | ||||||
| Deposited On: | 16 Sep 2005 | ||||||
| Last Modified: | 06 Jan 2010 19:29 |
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