WIAS Preprint No. 625, (2000)
On polynomial collocation for Cauchy singular integral equations with fixed singularities
Authors
- Junghanns, Peter
- Rathsfeld, Andreas
ORCID: 0000-0002-2029-5761
2010 Mathematics Subject Classification
- 45L10 65R20
Keywords
- Cauchy singular integral equation, Mellin kernel, polynomial collocation, stability, convergence
DOI
Abstract
In this paper we consider a polynomial collocation method for the numerical solution of Cauchy singular integral equations with fixed singularities over the interval, where the fixed singularities are supposed to be of Mellin convolution type. For the stability and convergence of this method in weighted L2 spaces, we derive necessary and sufficient conditions.
Appeared in
- Integral Equations and Operator Theory 43, 2002, pp. 155-176
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