In this letter, based on the exponential scalar auxiliary variable technology, we propose and study a new class of explicit energy-preserving splitting methods for solving the charged-particle dynamics. The energy-preserving property of these methods is rigorously analysed. We also provide the error estimates for the new methods. Numerical computations are presented, which confirm the effectiveness and superiority of these novel methods in comparison with the standard scalar auxiliary variable approach.
翻译:本文基于指数标量辅助变量技术,提出并研究了一类用于求解带电粒子动力学问题的新型显式保能量分裂方法。严格分析了这些方法的保能量性质,同时给出了新方法的误差估计。数值计算结果验证了该方法相较于标准标量辅助变量方法的有效性与优越性。