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Optimized implementations of rational approximations—a case study on the Voigt and complex error function

Schreier, Franz and Kohlert, Dieter (2008) Optimized implementations of rational approximations—a case study on the Voigt and complex error function. Computer Physics Communications, 179 (7), pp. 457-465. Elsevier. DOI: 10.1016/j.cpc.2008.04.012.

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/journal/00104655

Abstract

Rational functions are frequently used as efficient yet accurate numerical approximations for real and complex valued special functions. For the complex error function w (x + i y ), whose real part is the Voigt function K (x, y ), the rational approximation developed by Hui, Armstrong, and Wray [Rapid computation of the Voigt and complex error functions, J. Quant. Spectrosc. Radiat. Transfer 19 (1978) 509–516] is investigated. Various optimizations for the algorithm are discussed. In many applications, where these functions have to be calculated for a large x grid with constant y, an implementation using real arithmetic and factorization of invariant terms is especially efficient.

Document Type:Article
Title:Optimized implementations of rational approximations—a case study on the Voigt and complex error function
Authors:
AuthorsInstitution or Email of Authors
Schreier, FranzUNSPECIFIED
Kohlert, DieterFachhochschule Regensburg
Date:September 2008
Journal or Publication Title:Computer Physics Communications
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:179
DOI:10.1016/j.cpc.2008.04.012
Page Range:pp. 457-465
Publisher:Elsevier
Status:Published
Keywords:Plasma dispersion function, Hjerting function, Rational approximation, Continued fractions, Polynomial evaluation
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:other
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):W - Vorhaben Entwicklung von Atmosphärenprozessoren (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Dr.rer.nat. Franz Schreier
Deposited On:14 Oct 2008
Last Modified:27 Apr 2009 15:14

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