A rational approximation of the Dawson’s integral for efficient computation of the complex error function

Sanjar M. Abrarov and Brendan M. Quine

Applied Mathematics and Computation, 2018, vol. 321, issue C, 526-543

Abstract: In this work we show a rational approximation of the Dawson’s integral that can be implemented for high accuracy computation of the complex error function in a rapid algorithm. Specifically, this approach provides accuracy exceeding ∼10−14 in the domain of practical importance 0≤y<0.1∩|x+iy|≤8. A Matlab code for computation of the complex error function with entire coverage of the complex plane is presented.

Keywords: Complex error function; Faddeeva function; Dawson’s integral; Rational approximation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:526-543

DOI: 10.1016/j.amc.2017.10.032

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