Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field
This work provides a numerical method for simulating charged-particle dynamics that exactly preserves energy, addressing the need for long-time stable simulations in plasma physics and accelerator design.
The paper develops exponential energy-preserving methods for charged-particle dynamics in a strong constant magnetic field, achieving exact energy conservation and near conservation of magnetic moment over long times, as demonstrated by numerical experiments.
In this paper, exponential energy-preserving methods are formulated and analysed for solving charged-particle dynamics in a strong and constant magnetic field. The resulting method can exactly preserve the energy of the dynamics. Moreover, it is shown that the magnetic moment of the considered system is nearly conserved over a long time along this exponential energy-preserving method, which is proved by using modulated Fourier expansions. Other properties of the method including symmetry and convergence are also studied. An illustrated numerical experiment is carried out to demonstrate the long-time behaviour of the method.