On the very accurate evaluation of the Voigt/complex error function with small imaginary argument
Mathematical Software
2021-12-06 v1 Numerical Analysis
Numerical Analysis
Abstract
A rapidly convergent series, based on Taylor expansion of the imaginary part of the complex error function, is presented for highly accurate approximation of the Voigt/complex error function with small imaginary argument (Y less than 0.1). Error analysis and run-time tests in double-precision computing platform reveals that in the real and imaginary parts the proposed algorithm provides average accuracy exceeding 10^-15 and 10^-16, respectively, and the calculation speed is as fast as that of reported in recent publications. An optimized MATLAB code providing rapid computation with high accuracy is presented.
Cite
@article{arxiv.2112.02078,
title = {On the very accurate evaluation of the Voigt/complex error function with small imaginary argument},
author = {Yihong Wang},
journal= {arXiv preprint arXiv:2112.02078},
year = {2021}
}
Comments
11 pages, 7 figures