Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Theoretical Analysis of Sinc Methods for Integral Equations of the Second Kind From a Practical Viewpoint(Survey,<Special Topics>Activity Group "Scientific Computation and Numerical Analysis")
Tomoaki Okayama
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2012 Volume 22 Issue 3 Pages 181-212

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Abstract
Sinc methods for integral equations of the second kind have been actively developed since the early 2000s, and high efficiency of those schemes has been reported. In most of the schemes, however, there are two common points to be discussed: 1) it is difficult to implement those schemes unless the solution is given, and 2) convergence of the numerical solutions is not guaranteed. This situation is not desirable from a practical viewpoint. Recently, a remedy of these two points has been given by theoretical analysis. This paper is devoted to summarizing the researches about it.
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© 2012 The Japan Society for Industrial and Applied Mathematics
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