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1: Bibliography S
  • SAGE (free interactive system)
  • SLATEC (free Fortran library)
  • I. A. Stegun and R. Zucker (1976) Automatic computing methods for special functions. III. The sine, cosine, exponential integrals, and related functions. J. Res. Nat. Bur. Standards Sect. B 80B (2), pp. 291–311.
  • F. Stenger (1993) Numerical Methods Based on Sinc and Analytic Functions. Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
  • 2: Software Index
  • Commercial Software.

    Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.

  • 3: Bibliography C
  • CEPHES (free C library)
  • CoStLy (free C-XSC library)
  • A. Csótó and G. M. Hale (1997) S -matrix and R -matrix determination of the low-energy He 5 and Li 5 resonance parameters. Phys. Rev. C 55 (1), pp. 536–539.
  • 4: 18.40 Methods of Computation
    See Gautschi (1983) for examples of numerically stable and unstable use of the above recursion relations, and how one can then usefully differentiate between numerical results of low and high precision, as produced thereby. … Results of low ( 2 to 3 decimal digits) precision for w ( x ) are easily obtained for N 10 to 20 . …
    5: Howard S. Cohl
    In this regard, he has been exploring mathematical knowledge management and the digital expression of mostly unambiguous context-free full semantic information for mathematical formulae.
    6: Preface
    The new DLMF (Digital Library of Mathematical Functions) will appear in a hardcover edition and as a free electronic publication on the World Wide Web. …
    7: Bibliography H
  • J. Happel and H. Brenner (1973) Low Reynolds Number Hydrodynamics with Special Applications to Particulate Media. 2nd edition, Noordhoff International Publishing, Leyden.
  • 8: 3.11 Approximation Techniques
    Splines are defined piecewise and usually by low-degree polynomials. Given n + 1 distinct points x k in the real interval [ a , b ] , with ( a = ) x 0 < x 1 < < x n 1 < x n ( = b ), on each subinterval [ x k , x k + 1 ] , k = 0 , 1 , , n 1 , a low-degree polynomial is defined with coefficients determined by, for example, values f k and f k of a function f and its derivative at the nodes x k and x k + 1 . …
    9: 19.13 Integrals of Elliptic Integrals
    Cvijović and Klinowski (1994) contains fractional integrals (with free parameters) for F ( ϕ , k ) and E ( ϕ , k ) , together with special cases. …
    10: 29.15 Fourier Series and Chebyshev Series
    For explicit formulas for Lamé polynomials of low degree, see Arscott (1964b, p. 205).