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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Christian KnappAlexander Ostermann

Abstract

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 experiments show an excellent long term stability for the method considered.

References

Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Siu A Chin
Dec 5, 2014·Journal of Computational and Applied Mathematics·Lukas Einkemmer, Alexander Ostermann

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Citations

Dec 5, 2014·Journal of Computational and Applied Mathematics·Lukas Einkemmer, Alexander Ostermann

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