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On the Divergence of Collocation Solutions in Smooth Piecewise Polynomial Spaces for Volterra Integral Equations

✍ Scribed by Hermann Brunner


Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
548 KB
Volume
44
Category
Article
ISSN
0006-3835

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## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their so‐called __k__ ‐splitt