BIZ

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 [1986] is provided.

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 11 articles , 1 standard article )

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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)