Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function

DOI10.1016/j.amc.2015.01.072zbMath1338.41001arXiv1407.0533OpenAlexW2086350070MaRDI QIDQ300103

Sanjar M. Abrarov, Brendan M. Quine

Publication date: 23 June 2016

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

Full work available at URL: https://arxiv.org/abs/1407.0533

zbMATH Keywords

samplingVoigt functionnumerical integrationrational approximationcomplex error functionsinc function

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximate quadratures (41A55)

Related Items (6)

Pricing early-exercise and discrete barrier options by Shannon wavelet expansions ⋮ A rational approximation of the Dawson's integral for efficient computation of the complex error function ⋮ Computation of the Complex Error Function Using Modified Trapezoidal Rules ⋮ 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 ⋮ A rational approximation of the sinc function based on sampling and the Fourier transforms

Uses Software

• Sinc-Pack
• Algorithm 916
• GENSPECT
• Algorithm 680

Cites Work

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• Efficient algorithmic implementation of the Voigt/complex error function based on exponential series approximation
• Determining star-image location: A new sub-pixel interpolation technique to process image centroids
• Some unified representations of the Voigt functions
• A method of computing the complex probability function and other related functions over the whole complex plane
• Shifted rectangular quadrature rule approximations to Dawson's integral \(F(x)\)
• Algorithm 916
• Computation of the Complex Error Function
• More efficient computation of the complex error function
• Algorithm 680: evaluation of the complex error function
• Efficient Computation of the Complex Error Function

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