An algorithm for the numerical computation of the Voigt function
type: Item
instance of: scholarly article
title: An algorithm for the numerical computation of the Voigt function
zbMATH Open document ID: 0702.65020
DOI: 10.1016/0096-3003(90)90047-7
published in: Applied Mathematics and Computation
publication date: 1990-01-01T00:00:00Z
review text: The Voigt function is the real part of the complex error function \(\exp (-z^2)\mathrm{erfc}(-iz)\). The function is expressed as an integral over the reals of a meromorphic function that involves a free parameter. A corrected trapezoidal rule is used to compute the function. Comparisons with other published methods are given.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 33B20
zbMATH DE Number: 4151708
zbMATH Keywords: Voigt function
zbMATH Keywords: complex error function
zbMATH Keywords: meromorphic function
zbMATH Keywords: corrected trapezoidal rule
zbMATH Keywords: comparisons
author: Frank G. Lether
author: Paul R. Wenston
reviewed by: Nico M. Temme
MaRDI profile type: Publication
full work available at URL: 0096-3003(90)90047-7
OpenAlex ID: W2089520558
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cites work: The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \(( -\infty{}, \infty{})\)
cites work: The special functions and their approximations. Vol. I, II
cites work: Uniform Computation of the Error Function and Other Related Functions
cites work: Q4755683
cites work: Q4039835
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description: scientific article; zbMATH DE number 4151708