用于从正常到强固态磁场充电粒子动态的几何连续级指数级节能集成器 (Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes)

This paper is concerned with geometric exponential energy-preserving integrators for solving charged-particle dynamics in a magnetic field from normal to strong regimes. We firstly formulate the scheme of the methods for the system in a uniform magnetic field by using the idea of continuous-stage methods, and then discuss its energy-preserving property. Moreover, symmetric conditions and order conditions are analysed. Based on those conditions, we propose two practical symmetric continuous-stage exponential energy-preserving integrators of order up to four. Then we extend the obtained methods to the system in a nonuniform magnetic field and derive their properties including the symmetry, convergence and energy conservation. Numerical experiments demonstrate the efficiency of the proposed methods in comparison with some existing schemes in the literature.

翻译：本文涉及在磁场从正常状态到强势状态中解决电磁场充电粒子动态的几何指数节能聚合器。我们首先利用连续阶段方法的设想,为统一磁场的系统制定方法方案,然后讨论其节能特性。此外,还分析了对称条件和顺序条件。根据这些条件,我们建议两个实际的对称连续阶段热量集能融合器,最多可达四个。然后,我们将获得的方法推广到非单形磁场的系统,并得出其特性,包括对称、趋同和节能。数字实验表明,与文献中的某些现有办法相比,拟议方法的效率。