AIZ

Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions Two Fortran 77 routines for the evaluation of Airy functions of complex arguments $Ai(z)$, $Bi(z)$ and their first derivatives are presented. The routines are based on the use of Gaussian quadrature, Maclaurin series and asymptotic expansions. Comparison with a previous code by D. E. Amos is provided. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 11 articles )

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  1. Gil, Amparo; Segura, Javier; Temme, Nico M.: Fast and accurate computation of the Weber parabolic cylinder function $W(a, x)$ (2011)
  2. Gil, Amparo; Segura, Javier; Temme, Nico M.: Basic methods for computing special functions (2011)
  3. Gil, Amparo; Segura, Javier; Temme, Nico M.: Computing the real parabolic cylinder functions $U(a, x)$, $V(a, x)$. (2006)
  4. Ledoux, V.; Rizea, M.; Ixaru, L.; Vanden Berghe, G.; Van Daele, M.: Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential (2006)
  5. Fabijonas, B.R.: Algorithm 838: Airy functions (2004)
  6. Fabijonas, B.R.; Lozier, D.W.; Olver, F.W.J.: Computation of complex Airy functions and their zeros using asymptotics and the differential equation (2004)
  7. Gil, Amparo; Segura, Javier; Temme, Nico M.: Algorithm 831: Modified Bessel functions of imaginary order and positive argument (2004)
  8. Gil, Amparo; Segura, Javier; Temme, Nico M.: Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments (2004)
  9. Gil, Amparo; Segura, Javier; Temme, Nico M.: Computing special functions by using quadrature rules (2003)
  10. Gil, Amparo; Segura, Javier: Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions (2002)
  11. Gil, Amparo; Segura, Javier; Temme, Nico M.: Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions (2002)