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Zbl 0966.82518
Mohankumar, N.; Natarajan, A.
The accurate evaluation of a particular Fermi-Dirac integral. (English)
[J] Comput. Phys. Commun. 101, No.1-2, 47-53 (1997). ISSN 0010-4655

Summary: We provide a simple and very accurate numerical method to evaluate a particular two-dimensional Fermi-Dirac integral that arises in the plasma transport theory. The proposed method involves suitable coordinate and variable transformations which eliminate variable limits of integration. The resulting inner integral is evaluated by a trapezoidal integration with pole correction. The outer integral is evaluated by the IMT scheme. We provide reasonable error bounds. The results agree very well with the results of Fullerton and Rinker, who employ a combination of quadrature, asymptotic methods and Chebyshev fitting.

MSC 2000:: *82C70 Transport processes
65D32 Quadrature formulas (numerical methods)

Keywords: degenerate electron gases; stellar structure; numerical quadrature; two-dimensional Fermi-Dirac integral; plasma transport; trapezoidal integration; IMT scheme; error bounds

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