论文标题
带电粒子动力学的分裂方法的长期分析
Long term analysis of splitting methods for charged-particle dynamics
论文作者
论文摘要
在本文中，我们严格地分析了两种分裂方法的能量，动量和磁矩行为，以求解带电的粒子动力学。在恒定磁场或二次电势下，对系统进行了这些不变的近距离。通过称为向后误差分析的方法，我们得出了分裂方法的修改方程和修改的不变性，并基于长时间证明了近距离的近距离。提出了一些数值实验，以证明这些长期行为。
In this paper, we rigorously analyze the energy, momentum and magnetic moment behaviours of two splitting methods for solving charged-particle dynamics. The near-conservations of these invariants are given for the system under constant magnetic field or quadratic electric potential. By the approach named as backward error analysis, we derive the modified equations and modified invariants of the splitting methods and based on which, the near-conservations over long times are proved. Some numerical experiments are presented to demonstrate these long time behaviours.
