Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Theory
Numerical Indefinite Integration Using the IMT-Type DE Transform and the Sinc Approximation for Periodic Functions
Hidenori Ogata
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2022 Volume 32 Issue 1 Pages 1-19

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Abstract

Abstract. The DE transformation used in the DE quadrature formulas is applied to various numerical computations other than numerical integration using the Sinc approximation. On the other hand, the IMT-type transformations are also used in numerical integration, which are expected to be applied to various numerical using the Sinc approximation for periodic functions. In this paper, the author propose a numerical method of indefinite integration based on the above idea.

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