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1: 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 . …
2: Bibliography H
  • J. Happel and H. Brenner (1973) Low Reynolds Number Hydrodynamics with Special Applications to Particulate Media. 2nd edition, Noordhoff International Publishing, Leyden.
  • 3: 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 . …
    4: 29.15 Fourier Series and Chebyshev Series
    For explicit formulas for Lamé polynomials of low degree, see Arscott (1964b, p. 205).
    5: Bibliography C
  • 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.