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) ]
- 45F15 [ Systems of singular linear integral equations ]
- 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
