Publication date: Dec 2014
Abstract:
We present a detailed comparison of several integration schemes applied
to the dynamic system consisting of a charged particle on the Kerr
background endowed with the axisymmetric electromagnetic test field. In
particular, we compare the performance of the symplectic integrator with
several non-symplectic routines and discuss under which circumstances we
should choose the symplectic one and when we should switch to some other
scheme. We are basically concerned with two crucial, yet opposing
aspects – accuracy of the integration and CPU time consumption. The
latter is generally less critical in our application while the highest
possible accuracy is strongly demanded.
Authors:
Kopáček, Ondřej; Karas, Vladimír; Kovář, Jiří; Stuchlík, Zdeněk;