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Explicit symplectic adapted exponential integrators for charged-particle dynamics in a strong and constant magnetic field
This paper studies explicit symplectic adapted exponential integrators for
solving charged-particle dynamics in a strong and constant magnetic field. We
first formulate the scheme of adapted exponential integrators and then derive
its symplecticity conditions. Based on the symplecticity conditions, we propose
five practical explicit symplectic adapted exponential integrators. Two
numerical experiments are carried out and the numerical results demonstrate the
remarkable numerical behavior of the new methods.Comment: The content of this manuscript is included in a new paper of ours as
one section. We will submit the new paper to arXi