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@ARTICLE{Winkel:190250,
      author       = {Winkel, Mathias and Speck, Robert and Ruprecht, Daniel},
      title        = {{A} high-order {B}oris integrator},
      journal      = {Journal of computational physics},
      volume       = {295},
      issn         = {0021-9991},
      address      = {Orlando, Fla.},
      publisher    = {Academic Press},
      reportid     = {FZJ-2015-03168},
      pages        = {456 - 474},
      year         = {2015},
      abstract     = {This work introduces the high-order Boris-SDC method for
                      integrating the equations of motion for electrically charged
                      particles in electric and magnetic fields. 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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / DFG project 450829162 - Raum-Zeit-parallele
                      Simulation multimodale Energiesystemen (450829162)},
      pid          = {G:(DE-HGF)POF3-511 / G:(GEPRIS)450829162},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000354399700022},
      doi          = {10.1016/j.jcp.2015.04.022},
      url          = {https://juser.fz-juelich.de/record/190250},
}