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Local theory of a collocation method for Cauchy singular integral equations on an interval

Local theory of a collocation method for Cauchy singular integral equations on an interval

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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.

Bibliographic Details
Main Authors: Junghanns, P., Weber, U.
Language:English
Published: Technische Universität Chemnitz 1998
Subjects:
info:eu-repo/classification/ddc/510
ddc:510
Cauchy singular integral equations
collocation methods
stability
MSC 45E05
MSC 45L10
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801203
https://monarch.qucosa.de/id/qucosa%3A17496
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http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801203
https://monarch.qucosa.de/id/qucosa%3A17496
https://monarch.qucosa.de/api/qucosa%3A17496/attachment/ATT-0/
https://monarch.qucosa.de/api/qucosa%3A17496/attachment/ATT-1/
https://monarch.qucosa.de/api/qucosa%3A17496/attachment/ATT-2/
https://monarch.qucosa.de/api/qucosa%3A17496/attachment/ATT-3/

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