High precision series solution of differential equations: Ordinary and regular singular point of second order ODEs
Mathematical Physics
2015-06-05 v1 math.MP
Computational Physics
Quantum Physics
Abstract
A subroutine for very-high-precision numerical solution of a class of ordinary differential equations is provided. For given evaluation point and equation parameters the memory requirement scales linearly with precision , and the number of algebraic operations scales roughly linearly with when becomes sufficiently large. We discuss results from extensive tests of the code, and how one for a given evaluation point and equation parameters may estimate precision loss and computing time in advance.
Keywords
Cite
@article{arxiv.1205.2226,
title = {High precision series solution of differential equations: Ordinary and regular singular point of second order ODEs},
author = {Amna Noreen and Kåre Olaussen},
journal= {arXiv preprint arXiv:1205.2226},
year = {2015}
}
Comments
Accepted for publication in Computer Physics Communications 2012. Computer code available from CPC Program library under catalogue identifier AEMW_v1_0