The h-p-version of spline approximation methods for Mellin convolution equations.
- Elschner, Johannes
2010 Mathematics Subject Classification
- Mellin convolution equations, spline approximation methods, h-p-version
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.
- Integral Eq. Appl. 5, (1993), pp. 47-73