Author:
Hairer Ernst,Lubich Christian,Wang Bin
Abstract
AbstractA modification of the standard Boris algorithm, called filtered Boris algorithm, is proposed for the numerical integration of the equations of motion of charged particles in a strong non-uniform magnetic field in the asymptotic scaling known as maximal ordering. With an appropriate choice of filters, second-order error bounds in the position and in the parallel velocity, and first-order error bounds in the normal velocity are obtained with respect to the scaling parameter. This also yields a second-order approximation to the guiding center motion. The proof compares the modulated Fourier expansions of the exact and the numerical solutions. Numerical experiments illustrate the error behaviour of the filtered Boris algorithm.
Funder
Eberhard Karls Universität Tübingen
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
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