Fermi-Dirac swMATH ID: 4676 Software Authors: MacLeod, Allan J. Description: Algorithm 779: Fermi-Dirac Functions of Order –1/2, 1/2, 3/2, 5/2: The computation of Fermi-Dirac integrals ℱ k is discussed for the values k=-1/2,1/2,3/2,5/2. We derive Chebyshev polynomial expansions which allow the computation of these functions to double precision IEEE accuracy. Homepage: http://dl.acm.org/citation.cfm?id=285861.285862 Keywords: algorithms; collocation; floating-point arithmetic; Fermi-Dirac integrals; Chebyshev polynomial expansions Related Software: Algorithm 745; DLMF; Mathematica; QUADPACK; Sentaurus Device; ddfermi; MACHAR Cited in: 8 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 779: Fermi-Dirac functions of order \(-1/2\), \(1/2\), \(3/2\), \(5/2\). Zbl 0917.65017MacLeod, Allan J. 1998 all top 5 Cited by 7 Authors 3 Fukushima, Toshio 1 Kantner, Markus 1 Lether, Frank G. 1 MacLeod, Allan J. 1 Ruggeri, Tommaso 1 Selvaggi, Jerry A. 1 Selvaggi, Jerry P. all top 5 Cited in 6 Serials 3 Applied Mathematics and Computation 1 Journal of Computational Physics 1 ACM Transactions on Mathematical Software 1 Journal of Scientific Computing 1 Continuum Mechanics and Thermodynamics 1 Journal of Complex Analysis all top 5 Cited in 8 Fields 5 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year