ON THE NUMERICAL EVALUATION OF THE GENERALIZED FERMI-DIRAC INTEGRALS

被引：14
作者：
NATARAJAN, A
KUMAR, NM
机构：
[1] Safety Research and Health Physics Programme, Indira Gandhi Centre for Atomic Research, Kalpakkaam
来源：
COMPUTER PHYSICS COMMUNICATIONS | 1993年 / 76卷 / 01期
关键词：
D O I：
10.1016/0010-4655(93)90118-V
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In recent papers, Pichon and later on Sagar have dealt with the problem of computing the generalised Fermi-Dirac integrals. Both suggest Gauss-type quadratures differing only with respect to the form of the weight function used. This paper investigates the possibility of using the simple trapezoidal rule. By a suitable transformation of the variable of integration, it is possible to obtain high accuracies over the entire range of the physical parameters of interest.
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页码：48 / 50
页数：3
相关论文
共 6 条
[1]   ON A CERTAIN QUADRATURE FORMULA [J].
IRI, M ;
MORIGUTI, S ;
TAKASAWA, Y .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1987, 17 (1-2) :3-20
[2]   NUMERICAL-CALCULATION OF THE GENERALIZED FERMI-DIRAC INTEGRALS [J].
PICHON, B .
COMPUTER PHYSICS COMMUNICATIONS, 1989, 55 (02) :127-136
[3]   A GAUSSIAN QUADRATURE FOR THE CALCULATION OF GENERALIZED FERMI-DIRAC INTEGRALS [J].
SAGAR, RP .
COMPUTER PHYSICS COMMUNICATIONS, 1991, 66 (2-3) :271-275
[4]  
SCHWARTZ C, 1969, J COMPUT PHYS, V4, P19
[5]  
Stenger F., 1973, Journal of the Institute of Mathematics and Its Applications, V12, P103
[6]  
TAKAHASI H, 1973, NUMER MATH, V21, P103
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