High precision series solution of differential equations: Ordinary and regular singular point of second order ODEs
arXiv:1205.2226 · doi:10.1016/j.cpc.2012.05.015
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.
Accepted for publication in Computer Physics Communications 2012. Computer code available from CPC Program library under catalogue identifier AEMW_v1_0
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