论文标题
在强磁场中带电的粒子动力学的半散粒和全饮用
Semi-discretization and full-discretization with optimal accuracy for charged-particle dynamics in a strong nonuniform magnetic field
论文作者
论文摘要
本文的目的是在强磁场中制定和分析带电粒子动力学（CPD）的数值离散。首先，针对二维CPD执行策略，以构建具有最佳精度的半差异化和全盘式化。当磁场的强度变得更强时，该精度在位置和速度上得到提高。这是比通常所谓的“统一准确方法”更好的功能。为了获得这种精致的准确性，对问题和两级指数集成商进行了一些重新制定，并从该新过程中得出了最佳精度。然后，基于对两个维情况给出的策略，在最大排序情况下为三维CPD制定了一种新的具有简单方案的均匀准确方法。精度的所有理论结果通过一些数值测试来说明数值。
The aim of this paper is to formulate and analyze numerical discretizations of charged-particle dynamics (CPD) in a strong nonuniform magnetic field. A strategy is firstly performed for the two dimensional CPD to construct the semi-discretization and full-discretization which have optimal accuracy. This accuracy is improved in the position and in the velocity when the strength of the magnetic field becomes stronger. This is a better feature than the usual so called "uniformly accurate methods". To obtain this refined accuracy, some reformulations of the problem and two-scale exponential integrators are incorporated, and the optimal accuracy is derived from this new procedure. Then based on the strategy given for the two dimensional case, a new class of uniformly accurate methods with simple scheme is formulated for the three dimensional CPD in maximal ordering case. All the theoretical results of the accuracy are numerically illustrated by some numerical tests.
