DTORH3 2.0: A new version of a computer program for the evaluation of toroidal harmonics

Abstract
An improved version of the program DTORH3 to evaluate toroidal harmonics is presented. The code incorporates a uniform asymptotic expansion for P_ν
^m (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 functions P and Q incorporating a "dual" algorithm for 1 <x < √2 which improves the accuracy of the code in this range.

Title of program: DTORH3 v 2.0
Catalogue Id: ADKV_v2_0 [ADOH]

Nature of problem
We include a new version of our code DTORH3 to evaluate toroidal harmonics. The algorithms find their application in problems with toroidal geometry (see refs. [1,2]).

Versions of this program held in the CPC repository in Mendeley Data
ADKV_v2_0; DTORH3 v 2.0; 10.1016/S0010-4655(01)00188-6
ADKV_v1_0; DTORH1, DTORH2, DTORH3; 10.1016/S0010-4655(99)00428-2

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)