On a large-stepsize integrator for charged-particle dynamics

نویسندگان

چکیده

Abstract Xiao and Qin (Comput Phys Commun 265:107981, 2021) recently proposed a remarkably simple modification of the Boris algorithm to compute guiding centre highly oscillatory motion charged particle with step sizes that are much larger than period gyrorotations. They gave strong numerical evidence but no error analysis. This paper provides an analysis large-stepsize modified method in setting has non-uniform magnetic field moderately bounded velocities, considered over fixed finite time interval. The is based on comparing modulated Fourier expansions exact solutions, for which differential equations dominant terms derived explicitly. Numerical experiments illustrate complement theoretical results.

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ژورنال

عنوان ژورنال: Bit Numerical Mathematics

سال: 2023

ISSN: ['0006-3835', '1572-9125']

DOI: https://doi.org/10.1007/s10543-023-00951-5