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")

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  • 第二種積分方程式に対するSinc法の実用的視点からの理論解析(サーベイ,<特集>科学技術計算と数値解析研究部会)
  • 第二種積分方程式に対するSinc法の実用的視点からの理論解析
  • ダイニシュ セキブン ホウテイシキ ニ タイスル Sincホウ ノ ジツヨウテキ シテン カラ ノ リロン カイセキ

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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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