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.
Other Authors: TU Chemnitz, Fakultät für Mathematik
Format: Others
Language:English
Published: Universitätsbibliothek Chemnitz 1998
Subjects:
Cauchy singular integral equations
collocation methods
stability
MSC 45E05
MSC 45L10
ddc:510
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801203
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Internet

http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801203
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801203
http://www.qucosa.de/fileadmin/data/qucosa/documents/4199/data/a010.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/4199/data/a010.dvi
http://www.qucosa.de/fileadmin/data/qucosa/documents/4199/data/a010.ps
http://www.qucosa.de/fileadmin/data/qucosa/documents/4199/19980120.txt

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