The Fourier expansion approximation for high-accuracy computation of the Voigt/complex error function at small imaginary argument

Abstract

It is known that the computation of the Voigt/complex error function is problematic for highly accurate and rapid computation at small imaginary argument $y<<1$, where $y=\mathrm{Im}\left[z\right]$. In this paper we consider an approximation based on the Fourier expansion that can be used to resolve effectively such a problem when $y\to 0$.

arXiv comment6 pages, 2 figures

References in corpus (2)

• Decay time integrals in neutral meson mixing and their efficient evaluation
• On the Fourier expansion method for highly accurate computation of the Voigt/complex error function in a rapid algorithm

Cited by in corpus (1)

• A sampling-based approximation of the complex error function and its implementation without poles