The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications |
| |
| Authors: | SLOAN I H; SPENCE A |
| |
| Institution: |
Department of Applied Mathematics, University of New South Wales Sydney, NSW 2033, Australia
School of Mathematical Sciences, University of Bath Claverton Down, Bath BA2 7AY, UK
|
| |
| Abstract: | The aim of this paper is to discuss the numerical performanceof the Galerkin method for the approximate solution of severaltwo-dimensional Fredholm integral equations of the first kindwith logarithmic kernel, and for the approximation of linearfunctionals of the solution. Predicted rates of convergenceare obtained from the theory in Sloan & Spence (1987), andthese are compared with the numerical rates for the case ofpiecewise constant approximation over equal subintervals. Thephenomenon of ‘superconvergence’ is analysed indetail and some examples are given which attain remarkably highrates of convergence. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
