Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations
β Scribed by R. Schneider
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 773 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
The application of a collocation method with respect to the Chebyshev nodes of second kind together with a Newton iteration to a class of nonlinear Cauchy singular integral equations is discussed. The investigation of the convergence of the Newton method is based on the stability of the respective c
## 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 discuss the convergence properties of spline collocation and iterated collocation methods for a weakly singular Volterra integral equation associated with certain heat conduction problems. This work completes the previous studies of numerical methods for this type of equations with noncompact ker