A rational approximation for the Dawson's integral of real argument

Abstract

We present a rational approximation for the Dawson's integral of real argument and show how it can be implemented for accurate and rapid computation of the Voigt function at small $y<<1$. The algorithm based on this approach enables computation with accuracy exceeding $10^{-10}$ within the domain $0\le x\le 15$ and $0\le y\le 10^{-6}$. Due to rapid performance the proposed rational approximation runs the algorithm without deceleration.

14 pages, 2 figures

References in corpus (3)

• Decay time integrals in neutral meson mixing and their efficient evaluation
• Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function
• Accurate approximations for the complex error function with small imaginary argument

Cited by in corpus (3)

• A rational approximation of the Dawson's integral for efficient computation of the complex error function
• A new application methodology of the Fourier transform for rational approximation of the complex error function
• Representation of the Fourier transform as a weighted sum of the complex error functions