Global solution of the generalized Abel integral equation by implicit interpolation
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- by H. Brunner PDF
- Math. Comp. 28 (1974), 61-67 Request permission
Abstract:
The construction of a (global) approximate solution for a given generalized Abel integral equation may be viewed as a problem of (implicit) interpolation in a prescribed linear space. In this paper, piecewise polynomials (extended spline functions) of a given degree and of class C are used to generate such an approximating function. Results on convergence and error bounds are given, and the practical application of this method is illustrated by a numerical example.References
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H. Brunner, "The numerical solution of the generalized Abel integral equation by piecewise polynomials," Notices Amer. Math. Soc., v. 19, 1972, p. A-662. (Abstract)
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 61-67
- MSC: Primary 65R05
- DOI: https://doi.org/10.1090/S0025-5718-1974-0331830-5
- MathSciNet review: 0331830