Fabijonas, B.
, Lozier, D.
and Olver, F.
(2004),
Algorithm xxx: Airy Functions, Association for Computing Transactions on Mathematical Software
(Accessed May 28, 2025)
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Algorithm xxx: Airy Functions
Published
Author(s)
, ,
Abstract
We present a Fortran 90 module which computes the solutions of Airy's differential equation, and their derivatives, both on the real line and in the complex plane. The computational methods are numerical integration of the differential equation and summation of asymptotic expansions for large argument. The module also computes the zeros and associated values of the solutions and their derivatives, and modulus and phase functions on the negative real axis.Citation
Association for Computing Transactions on Mathematical Software
Volume
30
Issue
4
Pub Type
Journals
Keywords
airy functions, algorithms for special functions, numerical analysis
Citation
Issues
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Created December 15, 2004, Updated June 2, 2021