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DTORH3 2. 0: A new version of a computer program for the evaluation of toroidal harmonics. (English) Zbl 0993.65031
Summary: An improved version of the program DTORH3 to evaluate toroidal harmonics is presented. The code incorporates a uniform asymptotic expansion for $P^m_\nu(x)$ for large $m$ which extends the range of applicability for large $x$ of the previous version. In addition, the new version of the program takes advantage of the dual behaviour of the function $P$ and $Q$ incorporating a “dual” algorithm for $1< x< \sqrt 2$ which improves the accuracy of the code in this range.
65D20Computation of special functions, construction of tables
65Y15Packaged methods in numerical analysis
33-04Machine computation, programs (special functions)
33C55Spherical harmonics
Full Text: DOI
[1] Segura, J.; Gil, A.: Comput. phys. Commun.. 124, 104 (2000)
[2] Gil, A.; Segura, J.; Temme, N. M.: J. comput. Phys.. 161, No. 81, 204 (2000)
[3] http://netlib2.cs.utk.edu/specfun