Title of article
The double-exponential transformation in numerical analysis
Author/Authors
Mori، نويسنده , , Masatake and Sugihara، نويسنده , , Masaaki، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
10
From page
287
To page
296
Abstract
The double-exponential transformation was first proposed by Takahasi and Mori in 1974 for the efficient evaluation of integrals of an analytic function with end-point singularity. Afterwards, this transformation was improved for the evaluation of oscillatory functions like Fourier integrals. Recently, it turned out that the double-exponential transformation is useful not only for numerical integration but also for various kinds of Sinc numerical methods. The purpose of the present paper is to review the double-exponential transformation in numerical integration and in a variety of Sinc numerical methods.
Keywords
Numerical Integration , Fourier-type integral , Sinc method , Double-exponential transformation , quadrature formula
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2001
Journal title
Journal of Computational and Applied Mathematics
Record number
1551315
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