Treffer: Algorithm 838: Airy Functions
Title:
Algorithm 838: Airy Functions
Authors:
Source:
ACM Transactions on Mathematical Software. 30:491-501
Publisher Information:
Association for Computing Machinery (ACM), 2004.
Publication Year:
2004
Subject Terms:
Computation of special functions and constants, construction of tables, 4. Education, Packaged methods for numerical algorithms, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Numerical approximation and evaluation of special functions, 0101 mathematics, Software, source code, etc. for problems pertaining to special functions, 7. Clean energy, 01 natural sciences
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
1557-7295
0098-3500
0098-3500
DOI:
10.1145/1039813.1039819
Access URL:
Accession Number:
edsair.doi.dedup.....9c372d95d7bd473f18e6cf3b86d4218f
Database:
OpenAIRE
Weitere Informationen
We present a Fortran 90 module, which computes the solutions and their derivatives of Airy's differential equation, both on the real line and in the complex plane. The module also computes the zeros and associated values of the solutions and their derivatives, and the modulus and phase functions on the negative real axis. The computational methods are numerical integration of the differential equation and summation of asymptotic expansions for large argument. These methods were chosen because they are simple, adaptable to any precision, and amenable to rigorous error analysis. The module can be used to validate other codes or as a component in programs that require Airy functions.