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

DOI10.1016/j.apnum.2018.03.009OpenAlexW2789098417MaRDI QIDQ1748065

Brendan M. Quine, Rajinder K. Jagpal, Sanjar M. Abrarov

Publication date: 2 May 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06077

zbMATH Keywords

samplingrational approximationcomplex error functionsinc function

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items

Computation of the Complex Error Function Using Modified Trapezoidal Rules

Uses Software

• Matlab
• Faddeeva
• GENSPECT
• FASCODE
• Algorithm 680

Cites Work

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• Evolution equations for the probabilistic generalization of the Voigt profile function
• A method of computing the complex probability function and other related functions over the whole complex plane
• A rational approximation of the Dawson's integral for efficient computation of the complex error function
• Calculation of the complementary error function of complex argument
• A Continued Fraction Expansion, with a Truncation Error Estimate, for Dawson's Integral
• More efficient computation of the complex error function
• Algorithm 680: evaluation of the complex error function
• Chebyshev Approximations for Dawson's Integral
• Efficient Computation of the Complex Error Function
• Formulas for Calculating the Error Function of a Complex Variable