Algorithm 819: AIZ, BIZ: Two Fortran 77 routines for the computation of complex airy functions

被引：17

作者：

Gil, A ^{[1
]}

Segura, J

Temme, NM

机构：

[1] Univ Autonoma Madrid, Dept Math, E-28049 Madrid, Spain

[2] Univ Carlos III Madrid, Dept Math, Madrid 28911, Spain

[3] CWI, NL-1090 GB Amsterdam, Netherlands

[4] Univ Gesamthsch Kassel, Dept Math, D-34109 Kassel, Germany

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2002年 / 28卷 / 03期

关键词：

algorithms; Airy functions; complex values; Gauss quadrature;

D O I：

10.1145/569147.569150

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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.

引用

页码：325 / 336

页数：12