arXiv Open Access 2023

Approximations of the modified Bessel functions of the second kind $K_ν$. Applications in random field generation

D. I. Palade L. M. Pomârjanschi

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Abstrak

We propose an analytical approximation for the modified Bessel function of the second kind $K_ν$. 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 $3$ 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.

Topik & Kata Kunci

physics.comp-ph math-ph

Penulis (2)

D. I. Palade

L. M. Pomârjanschi

Format Sitasi

APA MLA BibTeX

Palade, D.I., Pomârjanschi, L.M. (2023). Approximations of the modified Bessel functions of the second kind $K_ν$. Applications in random field generation. https://arxiv.org/abs/2303.13400

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓