  This work introduces the high-order Boris-SDC method for integrating the
equations of motion for electrically charged particles in an electric and
magnetic field. Boris-SDC relies on a combination of the Boris-integrator with
spectral deferred corrections (SDC). SDC can be considered as preconditioned
Picard iteration to compute the stages of a collocation method. In this
interpretation, inverting the preconditioner corresponds to a sweep with a
low-order method. In Boris-SDC, the Boris method, a second-order Lorentz force
integrator based on velocity-Verlet, is used as a sweeper/preconditioner. The
presented method provides a generic way to extend the classical Boris
integrator, which is widely used in essentially all particle-based plasma
physics simulations involving magnetic fields, to a high-order method.
Stability, convergence order and conservation properties of the method are
demonstrated for different simulation setups. Boris-SDC reproduces the expected
high order of convergence for a single particle and for the center-of-mass of a
particle cloud in a Penning trap and shows good long-term energy stability.

Numerical Analysis;Numerical Analysis