Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
Modified Sinc-collocation Methods for Integral Equations of the Second Kind and Their Theoretical Analysis
Tomoaki Okayama
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2014 Volume 24 Issue 3 Pages 110-114

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Abstract
Sinc-collocation methods were developed for integral equations of the second kind by Rashidinia-Zarebnia, and their high convergence rates were confirmed by numerical experiments. However, runability and convergence of those methods have not been proved so far. Furthermore, those methods are in reality not implementable in application. Recent results by the present author, Matsuo and Sugihara have solved these issues, which are reviewed in this article.
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© 2014 The Japan Society for Industrial and Applied Mathematics
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