Algorithm 779. Fermi-Dirac functions of orders to 5 halves - A. J. Macleod
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| Название: |
Algorithm 779. Fermi-Dirac functions of orders to 5 halves |
| Автор: |
A. J. Macleod |
| Категория: |
Информатика. Компьютеры
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| Тип: |
Книга |
| Дата: |
22.02.2009 12:39:00 |
| Скачано: |
22 |
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paper by Wong et al. [1994] compares eight different methods just for the k = 1/2 case. Their paper showed a great variation in accuracy and efficiency between the various methods.
While several methods for computing 3^(x) have been proposed, there seems to be little available software for these functions. The paper by Banuelos et al. [1981] describes a code using a mixture of power series, continued fractions, and asymptotic series, but giving only a relative accuracy of 10~5. The code of Fullerton and Rinker [1986] gives a relative accuracy of 10~10 by using a method of quadrature followed by piecewise fitting of Chebyshev polynomials. Both these codes are for general k. According to Lozier and Olver [1995], the CERNLIB package contains codes. On investigating the CERNLIB information available through the Internet, it seems that these codes implement the rational approximations derived by Cody and Thacher [1967]. Unfortunately, these codes are not free. Very recently, Goano [1995] has developed a method for the incomplete Fermi-Dirac integral |
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