Precision approximations for Fermi–Dirac functions of the integer index
- 作者: Kalitkin N.1, Kolganov S.2
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隶属关系:
- Keldysh Institute of Applied Mathematics
- National Research University of Electronic Technology
- 期: 卷 8, 编号 6 (2016)
- 页面: 607-614
- 栏目: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201298
- DOI: https://doi.org/10.1134/S2070048216060090
- ID: 201298
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详细
The Fermi–Dirac functions of the integer index are widely used in electron transport problems in dense substances. Polynomial approximations are constructed for their quick calculation. A simple algorithm yielding the coefficients of such approximations based on the interpolation with a special linear-trigonometric grid is developed. It is demonstrated that this grid gives almost optimal results. For the functions of indices 1, 2, and 3, the coefficients of such interpolations ensuring the relative error of 2 × 10−16 under 9 free parameters are obtained.
作者简介
N. Kalitkin
Keldysh Institute of Applied Mathematics
编辑信件的主要联系方式.
Email: kalitkin@imamod.ru
俄罗斯联邦, Moscow, 125047
S. Kolganov
National Research University of Electronic Technology
Email: kalitkin@imamod.ru
俄罗斯联邦, Zelenograd, 124498