Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2

ABSTRACT

The computation of Fermi-Dirac integrals *** is discussed for the values *** = -1, 1/2, 3/2, 5/2. We derive Chebyshev polynomial expansions which allow the computation of these functions to double precision IEEE accuracy.

REFERENCES

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INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

  G. Mathematics of Computing
  G.4 MATHEMATICAL SOFTWARE
      Subjects: Algorithm design and analysis

General Terms:
Algorithms

Keywords:
Chebyshev polynomials, Fermi-Dirac, collocation, floating-point arithmetic