Splitting methods for time integration of trajectories in combined electric and magnetic fields.

@article{Knapp2015SplittingMF,
  title={Splitting methods for time integration of trajectories in combined electric and magnetic fields.},
  author={Christian Knapp and Alexander Kendl and Antti Koskela and Alexander Ostermann},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={92 6},
  pages={
          063310
        }
}
  • C. Knapp, A. Kendl, A. Ostermann
  • Published 6 October 2015
  • Computer Science
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The equations of motion of a single particle subject to an arbitrary electric and a static magnetic field form a Poisson system. We present a second-order time integration method which preserves well the Poisson structure and compare it to commonly used algorithms, such as the Boris scheme. All the methods are represented in a general framework of splitting methods. We use the so-called ϕ functions, which give efficient ways for both analyzing and implementing the algorithms. Numerical… 
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