Precision approximations for Fermi–Dirac functions of the integer index
- Авторлар: Kalitkin N.1, Kolganov S.2
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Мекемелер:
- Keldysh Institute of Applied Mathematics
- National Research University of Electronic Technology
- Шығарылым: Том 8, № 6 (2016)
- Беттер: 607-614
- Бөлім: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201298
- DOI: https://doi.org/10.1134/S2070048216060090
- ID: 201298
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
N. Kalitkin
Keldysh Institute of Applied Mathematics
Хат алмасуға жауапты Автор.
Email: kalitkin@imamod.ru
Ресей, Moscow, 125047
S. Kolganov
National Research University of Electronic Technology
Email: kalitkin@imamod.ru
Ресей, Zelenograd, 124498