{
  "id": "1510.01484",
  "version": "v1",
  "published": "2015-10-06T09:01:02.000Z",
  "updated": "2015-10-06T09:01:02.000Z",
  "title": "Splitting methods for time integration of trajectories in combined electric and magnetic fields",
  "authors": [
    "Christian Knapp",
    "Alexander Kendl",
    "Antti Koskela",
    "Alexander Ostermann"
  ],
  "comment": "14 pages, 8 figures",
  "categories": [
    "math.NA",
    "physics.comp-ph"
  ],
  "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 $\\phi$ functions, which give efficient ways for both analyzing and implementing the algorithms. Numerical experiments show an excellent long term stability for the new method considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-06T09:01:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "splitting methods",
      "excellent long term stability",
      "trajectories",
      "second-order time integration method",
      "static magnetic field form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}