Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions
Author:
Affiliation:
1. Graduate School of Information Sciences, Hiroshima City University
2. Kozu Gakuen High School
Publisher
The Japan Society for Industrial and Applied Mathematics
Subject
General Engineering
Link
https://www.jstage.jst.go.jp/article/jsiaml/14/0/14_77/_pdf
Reference9 articles.
1. 1) E. Goodwin, The evaluation of integrals of the form $\int_{-\infty}^{\infty} f(x) e^{-x^2} dx$, Proc. Camb. Philos. Soc., 45 (1949), 241-245.
2. 2) J. Lund, Numerical Evaluation of Integral Transforms, Ph.D. Thesis, University of Utah, 1978.
3. 3) F. Stenger, Numerical Methods Based on Sinc and Analytic Functions, Springer-Verlag, New York, 1993.
4. 4) M. Muhammad and M. Mori, Double exponential formulas for numerical indefinite integration, J. Comput. Appl. Math., 161 (2003), 431-448.
5. 5) T. Okayama and K. Machida, Error estimate with explicit constants for the trapezoidal formula combined with Muhammad--Mori's SE transformation for semi-infinite interval, JSIAM Lett., 9 (2017), 45-47.
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