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arXiv · 2209.15378

A two-domain MATLAB implementation for efficient computation of the Voigt/complex error function

Sanjar M. Abrarov·Rehan Siddiqui·Rajinder K. Jagpal·Brendan M. Quine
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Abstract

In this work we develop a new algorithm for the efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where the number of the interpolation grid-points is dependent on the input parameter $y$. The error analysis we performed shows that the MATLAB implementation meets the requirements for radiative transfer applications involving the HITRAN molecular spectroscopic database. The run-time test shows that this MATLAB implementation provides rapid computation, especially at smaller ranges of the parameter $x$.

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Sanjar M. Abrarov, Rehan Siddiqui, Rajinder K. Jagpal, Brendan M. Quine. 2022-08-12. A two-domain MATLAB implementation for efficient computation of the Voigt/complex error function. https://doi.org/10.3390/math10193451

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