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On the stability of the spline collocation method for a class of integral equations of the first kind |
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| Authors: | George C. Hsiao Siegfried Prössdorf |
| Affiliation: | 1. Department of Mathematical Sciences , University of Delaware , Newark, Delaware, 19716, USA;2. Karl-Weierstrasse-lnstitut fur Mathematik , Akademie der Wissenschaften der DDR , GDR, 1086, Berlin |
| Abstract: | This paper is concerned with the stability of the spline collocation method for a class of integral equations of the first kind with logarithmic kernels. It is shown that a proper choice of the mesh size can be made in the numerical computation so that one will obtain an optimal rate of convergence for the approximate solutions. |
| Keywords: | Stability collocation method logarithmic kernel integral equations of the first kind |