Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula-Reference-Cited by-同舟云学术

Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula

Published:2023 Issue:0 Volume:15 Page:81-84
ISSN:1883-0609
Container-title:JSIAM Letters
language:en
Short-container-title:JSIAM Letters

Author:

Okayama Tomoaki¹,Kawai Yuta²

Affiliation:

1. Graduate School of Information Sciences, Hiroshima City University,

2. Marketing-Revolution Co., Ltd.

Publisher

The Japan Society for Industrial and Applied Mathematics

Subject

General Engineering

Link

https://www.jstage.jst.go.jp/article/jsiaml/15/0/15_81/_pdf

Reference8 articles.

1. [1] H. Takahasi and M. Mori, Double exponential formulas for numerical integration, Publ. RIMS, Kyoto Univ., 9 (1974), 721–741.

2. [2] M. Sugihara, Optimality of the double exponential formula —functional analysis approach—, Numer. Math., 75 (1997), 379–395.

3. [3] K. Tanaka, M. Sugihara, K. Murota and M. Mori, Function classes for double exponential integration formulas, Numer. Math., 111 (2009), 631–655.

4. [4] T. Okayama, T. Matsuo and M. Sugihara, Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration, Numer. Math., 124 (2013), 361–394.

5. [5] T. Okayama, Error estimates with explicit constants for Sinc quadrature and Sinc indefinite integration over infinite intervals, Reliab. Comput., 19 (2013), 45–65.

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