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- W4367190824 abstract "A basic leapfrog integrator and its energy-preserving and variational / symplectic variants are proposed and studied for the numerical integration of the equations of motion of relativistic charged particles in an electromagnetic field. The methods are based on a four-dimensional formulation of the equations of motion. Structure-preserving properties of the numerical methods are analysed, in particular conservation and long-time near-conservation of energy and mass shell as well as preservation of volume in phase space. In the non-relativistic limit, the considered methods reduce to the Boris algorithm for non-relativistic charged-particle dynamics and its energy-preserving and variational / symplectic variants." @default.
- W4367190824 created "2023-04-28" @default.
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- W4367190824 date "2023-04-26" @default.
- W4367190824 modified "2023-09-24" @default.
- W4367190824 title "Leapfrog methods for relativistic charged-particle dynamics" @default.
- W4367190824 doi "https://doi.org/10.48550/arxiv.2304.13578" @default.
- W4367190824 hasPublicationYear "2023" @default.
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