The solution of singular integral equations by collocation methods
β Scribed by A.V. Dzhilshkariani
- Publisher
- Elsevier Science
- Year
- 1981
- Weight
- 318 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0041-5553
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## Abstract We prove representations for the coefficient matrices of the linear systems which occur by applying certain collocation methods to Cauchy singular integral equations. These representations use fast discrete trigonometric transforms and give the possibility to design fast algorithms for
The classical polynomial collocation method is considered for a class of Cauchy singular integral equations with variable coefficients on a bounded interval. This method is naturally extended to the case of a non-zero index of the underlying Fredholm operator. This is done by using the structure of