The Stability and the Convergence of a Collocation Method for a Class of Cauchy Singular Integral Equations
β Scribed by Maria Rosaria Capobianco
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 520 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
The author proves the stability and the uniform convergence of a collocation method for solving Cauchy singular integral equations with regular pertubation kernel. Error estimates in the uniform norm are also given.
π SIMILAR VOLUMES
## Abstract In this paper we reexamine a previously proposed quadrature scheme, [VENTURINO], based on a formula proposed in [STENGER, 1976]. Our goal is to establish a stability result for the dominant singular integral equation of index one, and from it derive the error analysis for the proposed n
## 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 soβcalled __k__ βsplitt