High Order Numerical Integrators for Relativistic Charged Particle Tracking
Accelerator Physics
2017-08-23 v1 Plasma Physics
Abstract
In this paper, we extend several time reversible numerical integrators to solve the Lorentz force equations from second order accuracy to higher order accuracy for relativistic charged particle tracking in electromagnetic fields. A fourth order algorithm is given explicitly and tested with numerical examples. Such high order numerical integrators can significantly save the computational cost by using a larger step size in comparison to the second order integrators.
Keywords
Cite
@article{arxiv.1702.04486,
title = {High Order Numerical Integrators for Relativistic Charged Particle Tracking},
author = {Ji Qiang},
journal= {arXiv preprint arXiv:1702.04486},
year = {2017}
}