Efficient algorithmic implementation of the Voigt/complex error function based on exponential series approximation

DOI10.1016/J.AMC.2011.06.072zbMath1387.65024OpenAlexW2159968772MaRDI QIDQ654661

Sanjar M. Abrarov, Brendan M. Quine

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10315/10172

zbMATH Keywords

Voigt functionFourier expansioncomplex error functionplasma dispersion functioncomplex probability functionFaddeeva functionspectral line broadeningexponential seriesWeideman's algorithm

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)

Related Items (5)

Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function ⋮ A rational approximation of the Dawson's integral for efficient computation of the complex error function ⋮ An \(O(N)\) algorithm for computing expectation of \(N\)-dimensional truncated multi-variate normal distribution. I: Fundamentals ⋮ A sampling-based approximation of the complex error function and its implementation without poles ⋮ Analytical and asymptotic evaluations of Dawson's integral and related functions in mathematical physics

Uses Software

• GENSPECT
• Algorithm 680
• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• High-accuracy approximation of the complex probability function by Fourier expansion of exponential multiplier
• Computation of the Complex Error Function
• Algorithm 680: evaluation of the complex error function
• A unified presentation of the Voigt functions

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