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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:
AuthorsInstitution or Email of Authors
Osipov, AndreyUNSPECIFIED
Stein, VolkerUNSPECIFIED
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 (old)
HGF - Program:Aeronautics
HGF - Program Themes:other
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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