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

10.20347/WIAS.PREPRINT.30

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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