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