Navigation

Inhalt Hotkeys
Fakultät für Mathematik
Fakultät für Mathematik
Peter Junghanns; Steffen Roch; Bernd Silbermann : Collocation methods for systems of Cauchy singular integral equations on an interval

Peter Junghanns; Steffen Roch; Bernd Silbermann : Collocation methods for systems of Cauchy singular integral equations on an interval


Author(s) :
Peter Junghanns; Steffen Roch; Bernd Silbermann
Title :
Collocation methods for systems of Cauchy singular integral equations on an interval
Electronic source :
[gzipped ps-file] 172 kB
Preprint series
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 2000-8, 2000
Mathematics Subject Classification :
45E05 [ Integral equations with kernels of Cauchy type ]
45F15 [ Systems of singular linear integral equations ]
45L05 [ Theoretical approximation of solutions of integral equations ]
45L10 [ Numerical approximation of solutions of integral equations ]
65R20 [ Integral equations (numerical methods) ]
Abstract :
Necessary and sufficient conditions for the stability of collocation methods with respect to Chebyshev nodes of first and second kind for Cauchy singular integral equations with piecewise continuous coefficients, given on an interval, in the scalar and in the system case are established. Moreover, the behaviour of the singular values of the matrices of the discrete equations is considered.
Keywords :
Cauchy singular integral equation, collocation method, stability, Banch algebra techniques, singular value distribution
Language :
english
Publication time :
9/2000

Presseartikel