The Collocation Method with Parabolic Splines for Integral Equations with Singularities
โ Scribed by R. R. Pallav; A. A. Pedas
- Book ID
- 111579203
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 171 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0012-2661
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๐ 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