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000190250 1001_ $$0P:(DE-Juel1)140128$$aWinkel, Mathias$$b0$$eCorresponding Author
000190250 245__ $$aA high-order Boris integrator
000190250 260__ $$aOrlando, Fla.$$bAcademic Press$$c2015
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000190250 520__ $$aThis work introduces the high-order Boris-SDC method for integrating the equations of motion for electrically charged particles in electric and magnetic fields. Boris-SDC relies on a combination of the Boris-integrator with spectral deferred corrections (SDC). SDC can be considered as preconditioned Picard iteration to compute the stages of a collocation method. In this interpretation, inverting the preconditioner corresponds to a sweep with a low-order method. In Boris-SDC, the Boris method, a second-order Lorentz force integrator based on velocity-Verlet, is used as a sweeper/preconditioner. The presented method provides a generic way to extend the classical Boris integrator, which is widely used in essentially all particle-based plasma physics simulations involving magnetic fields, to a high-order method. Stability, convergence order and conservation properties of the method are demonstrated for different simulation setups. Boris-SDC reproduces the expected high order of convergence for a single particle and for the center-of-mass of a particle cloud in a Penning trap and shows good long-term energy stability.
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000190250 7001_ $$0P:(DE-Juel1)132268$$aSpeck, Robert$$b1$$ufzj
000190250 7001_ $$00000-0003-1904-2473$$aRuprecht, Daniel$$b2
000190250 773__ $$0PERI:(DE-600)1469164-4$$a10.1016/j.jcp.2015.04.022$$gVol. 295, p. 456 - 474$$p456 - 474$$tJournal of computational physics$$v295$$x0021-9991$$y2015
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