A sampling-based algorithm for the Voigt/complex error function

Version 1.0.0.0 (4.45 KB) by Sanjar Abrarov
A function file to compute the complex error function with high-accuracy.
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This function file computes the complex error function (also known as the Faddeeva function) by using a new method of sampling based on incomplete cosine expansion of the sinc function [1, 2]. External domain is computed by the Laplace continued fraction [3]. The description of the algorithm is presented in the work [4].
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REFERENCES
[1] S. M. Abrarov and B. M. Quine, Appl. Math. Comput., 258 (2015) 425-435.
https://doi.org/10.1016/j.amc.2015.01.072
[2] S. M. Abrarov and B. M. Quine, J. Math. Research, 7 (2) (2015) 163-174.
https://doi.org/10.5539/jmr.v7n2p163
[3] W. Gautschi, SIAM J. Numer. Anal., 7 (1) (1970) 187-198.
https://doi.org/10.1137/0707012
[4] S. M. Abrarov, B. M. Quine and R. K. Jagpal, Appl. Numer. Math., 129 (2018) 181-191.
https://doi.org/10.1016/j.apnum.2018.03.009

Cite As

Sanjar Abrarov (2026). A sampling-based algorithm for the Voigt/complex error function (https://au.mathworks.com/matlabcentral/fileexchange/66752-a-sampling-based-algorithm-for-the-voigt-complex-error-function), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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1.0.0.0

Minor correction in title.
Figure is added.