Algorithm 916

Algorithm 916: computing the Faddeyeva and Voigt functions. We present a MATLAB function for the numerical evaluation of the Faddeyeva function w(z). The function is based on a newly developed accurate algorithm. In addition to its higher accuracy, the software provides a flexible accuracy vs efficiency trade-off through a controlling parameter that may be used to reduce accuracy and computational time and vice versa. Verification of the flexibility, reliability, and superior accuracy of the algorithm is provided through comparison with standard algorithms available in other libraries and software packages.


References in zbMATH (referenced in 10 articles )

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  1. Al Azah, Mohammad; Chandler-Wilde, Simon N.: Computation of the complex error function using modified trapezoidal rules (2021)
  2. Gimbutas, Zydrunas; Jiang, Shidong; Luo, Li-Shi: Evaluation of Abramowitz functions in the right half of the complex plane (2020)
  3. Nijimbere, Victor: Analytical and asymptotic evaluations of Dawson’s integral and related functions in mathematical physics (2019)
  4. Abrarov, Sanjar M.; Quine, Brendan M.: A rational approximation of the Dawson’s integral for efficient computation of the complex error function (2018)
  5. Greengard, Leslie; Jiang, Shidong; Zhang, Yong: The anisotropic truncated kernel method for convolution with free-space Green’s functions (2018)
  6. Mofreh R Zaghloul: A FORTRAN Package for Efficient Multi-Accuracy Computations of the Faddeyeva Function and Related Functions of Complex Arguments (2018) arXiv
  7. Mofreh R. Zaghloul: Algorithm 985: Simple, Efficient, and Relatively Accurate Approximation for the Evaluation of the Faddeyeva Function (2017) not zbMATH
  8. Abrarov, S. M.; Quine, B. M.: Sampling by incomplete cosine expansion of the sinc function: application to the Voigt/complex error function (2015)
  9. Lütkenöner, B.: A family of kernels and their associated deconvolving kernels for normally distributed measurement errors (2015)
  10. Zaghloul, Mofreh R.; Ali, Ahmed N.: Algorithm 916: Computing the Faddeyeva and Voigt functions (2011)