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
A Finite Element Collocation Method for Singular Integral Equations
✍ Scribed by S. Prössdorf; G. Schmidt
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 1008 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
This paper is devoted to the approximate solution of one-dimensional singular integral equations on a closed curve by spline collocation methods. As the main result we give conditions which are sufficient and in special cases also necessary for the convergence in SOBOLEV norms. The paper is organiz
## 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 Method of Weighted Residuals (MWR) is a powerful tool in solving boundary value problems. A particular MWR is the "collocation method". The main theme of this paper is eigenvalue calculations with the collocation method. The bench mark problems considered are second andfourth order dtflerential