Numerical and asymptotic aspects of parabolic cylinder functions
Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions
ACM Transactions on Mathematical Software (TOMS)
Portable Special Function Routines
Portability of Numerical Software, Workshop
Computing the real parabolic cylinder functions U(a, x), V(a, x)
ACM Transactions on Mathematical Software (TOMS)
Algorithm 850: Real parabolic cylinder functions U(a, x), V(a, x)
ACM Transactions on Mathematical Software (TOMS)
Numerical Methods for Special Functions
Numerical Methods for Special Functions
NIST Handbook of Mathematical Functions
NIST Handbook of Mathematical Functions
| Hi-index | 0.00 |
A Fortran 90 program for the computation of the real parabolic cylinder functions W(a, ± x), x ≥ 0 and their derivatives is presented. The code also computes scaled functions for a 50. The functions W(a, ± x) are a numerically satisfactory pair of solutions of the parabolic cylinder equation y′ + (x2/4 − a)y = 0, x ≥ 0. Using Wronskian tests, we claim a relative accuracy better than 5 10−13 in the computable range of unscaled functions, while for scaled functions the aimed relative accuracy is better than 5 10−14. This code, together with the algorithm and related software described in Gil et al. [2006a, 2006b], completes the set of software for Parabolic Cylinder Functions (PCFs) for real arguments.