Hypersingular integral equations over a disc: Convergence of a spectral method and connection with Tranter’s method
✍ Scribed by Farina, Leandro; Martin, P.A.; Péron, Victor
- Book ID
- 125421291
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 442 KB
- Volume
- 269
- Category
- Article
- ISSN
- 0377-0427
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📜 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 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.
We consider weakly singular integral equations of Fredholm-type whose kernels satisfy certain algebraic estimates with their derivatives. In particular, we establish optimal convergence order estimates for product integration and Galerkin method applied on suitable grading mesh for the solution of s