Galerkin methods with splines for singular integral equations over (0, 1)
β Scribed by J. Elschner
- Publisher
- Springer-Verlag
- Year
- 1984
- Tongue
- English
- Weight
- 751 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
We develop a fast fully discrete Fourier-Galerkin method for solving a class of singular boundary integral equations. We prove that the number of multiplications used in generating the compressed matrix is O(n log 3 n), and the solution of the proposed method preserves the optimal convergence order
## 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