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

Published: 15-09-2001| Version 1 | DOI: 10.17632/kj9sv7476g.1
Amparo Gil,
Javier Segura


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)