Approximations of the modified Bessel functions of the second kind $K_\nu$. Applications in random field generation
Computational Physics
2023-03-24 v1 Mathematical Physics
math.MP
Abstract
We propose an analytical approximation for the modified Bessel function of the second kind . The approximation is derived from an exponential ansatz imposing global constrains. It yields local and global errors of less than one percent and a speed-up in the computing time of orders in magnitude in comparison with traditional approaches. We demonstrate the validity of our approximation for the task of generating long-range correlated random fields.
Keywords
Cite
@article{arxiv.2303.13400,
title = {Approximations of the modified Bessel functions of the second kind $K_\nu$. Applications in random field generation},
author = {D. I. Palade and L. M. Pomârjanschi},
journal= {arXiv preprint arXiv:2303.13400},
year = {2023}
}