Chapter 3 Numerical Methods

Acknowledgments:

The author thanks W. Gautschi and C. Brezinski for their valuable contributions, and F. W. J. Olver for assisting with the writing of §§3.6, 3.7, 3.8, and 3.11.

Notes:

Lozier and Olver (1994) gives an overview of the numerical evaluation of special functions. For more detailed information see Gautschi (1997a), Gil et al. (2007a), Henrici (1974, 1977, 1986), Hildebrand (1974), Luke (1969a, b).

Referenced by:

Nico M. Temme, Methodology

Permalink:

http://dlmf.nist.gov/3

• Areas
  • 3.1 Arithmetics and Error Measures
  • 3.2 Linear Algebra
  • 3.3 Interpolation
  • 3.4 Differentiation
  • 3.5 Quadrature
  • 3.6 Linear Difference Equations
  • 3.7 Ordinary Differential Equations
  • 3.8 Nonlinear Equations
  • 3.9 Acceleration of Convergence
  • 3.10 Continued Fractions
  • 3.11 Approximation Techniques
  • 3.12 Mathematical Constants