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  • 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

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Chapter 3 Numerical Methods

N. M. Temme Affiliation: Centrum voor Wiskunde en Informatica, Department MAS, Amsterdam, The Netherlands.
ⓘ
Acknowledgements:
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), and Trefethen (2011).
Referenced by:
Profile Amparo Gil, Profile Javier Segura, Profile Nico M. Temme, Profile Nico M. Temme, § ‣ Chapter Authors, § ‣ Associate Editors, § ‣ Associate Editors, § ‣ Associate Editors, Erratum (V1.0.5) for References, Methodology
Permalink:
http://dlmf.nist.gov/3
Addition (effective with 1.0.5):
Trefethen (2011) was added as a general reference for this chapter.
   
  • Areas
    1. 3.1 Arithmetics and Error Measures
    2. 3.2 Linear Algebra
    3. 3.3 Interpolation
    4. 3.4 Differentiation
    5. 3.5 Quadrature
    6. 3.6 Linear Difference Equations
    7. 3.7 Ordinary Differential Equations
    8. 3.8 Nonlinear Equations
    9. 3.9 Acceleration of Convergence
    10. 3.10 Continued Fractions
    11. 3.11 Approximation Techniques
    12. 3.12 Mathematical Constants
2.11 Remainder Terms; Stokes Phenomenon3.1 Arithmetics and Error Measures
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