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math.NA2025
Error and long-term analysis of two-step symmetric methods for relativistic charged-particle dynamics
Ting Li, Bin Wang, Ruili Zhang
In this work, we consider the error estimates and the long-time conservation or near-conservation of geometric structures, including energy, mass shell and phase-space volume, for…
math.NA2025
A filtered two-step variational integrator for charged-particle dynamics in a moderate or strong magnetic field
Ting Li, Bin Wang
This article is concerned with a new filtered two-step variational integrator for solving the charged-particle dynamics in a mildly non-uniform moderate or strong magnetic field wi…
math.NA2018
Explicit symplectic adapted exponential integrators for charged-particle dynamics in a strong and constant magnetic field
Ting Li, Bin Wang
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…