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Shifted rectangular quadrature rule approximations to Dawson's integral F(x)

✍ Scribed by Frank G. Lether

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 246 KB
Volume: 92
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00019-3

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✦ Synopsis

This paper investigates the relationship between some rapidly convergent series of exponential functions for computing Dawson's integral. These series are the result of approximating a certain improper integral by a shifted rectangular quadrature rule. Dawson's original method and a more recent expansion due to Rybicki are shown to be special cases of our quadrature approach. An error bound is derived to compare the accuracy of the resulting approximations. (~) 1998 Elsevier Science B.V. All rights reserved.