WIAS Preprint No. 30, (1992)
The h-p-version of spline approximation methods for Mellin convolution equations.
Authors
- Elschner, Johannes
2010 Mathematics Subject Classification
- 65R20
Keywords
- Mellin convolution equations, spline approximation methods, h-p-version
DOI
Abstract
We consider the numerical solution of Mellin convolution equations on an interval by the h-p-version of spline approximation methods. Using a geometric mesh refinement towards the singularity of the integral equation, we prove stability and exponential convergence in the Lq norm, 1 ≤ q ≤ ∞, for Galerkin, collocation and Nyström methods based on piecewise polynomials.
Appeared in
- Integral Eq. Appl. 5, (1993), pp. 47-73
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