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P. Junghanns; U. Weber : Local theory of a collocation method for Cauchy singular integral equations on an interval

P. Junghanns; U. Weber : Local theory of a collocation method for Cauchy singular integral equations on an interval

Author(s) :
P. Junghanns; U. Weber
Title :
Local theory of a collocation method for Cauchy singular integral equations on an interval
Electronic source :
[gzipped dvi-file] 53 kB
[gzipped ps-file] 115 kB
Preprint series
Technische Universität Chemnitz-Zwickau, Fakultät für Mathematik (Germany). Preprint 97-10, 1997
Mathematics Subject Classification :
45E05 [ Integral equations with kernels of Cauchy type ]
45L10 [ Numerical approximation of solutions of integral equations ]
Abstract :
We consider a collocation method for Cauchy singular integral equations on the interval based on weighted Chebyshev polynomials , where the coefficients of the operator are piecewise continuous. Stability conditions are derived using Banach algebra methods, and numerical results are given.
Keywords :
Cauchy singular integral equations, collocation methods, stability
Language :
english
Publication time :
4/1997