一种用于强磁场下相对论带电粒子动力学的具有均匀误差界的多物理结构保持积分器
A multi-physics structure-preserving integrator with uniform error bounds for relativistic charged-particle dynamics under strong magnetic fields
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中文总结 AI 辅助
研究强磁场下相对论带电粒子动力学问题，开发显式多物理结构保持Strang分裂格式，能保持多种性质并给出二阶均匀误差界，经理论证明和数值实验验证。
中文摘要 AI 辅助
本文针对在最大阶缩放的强磁场存在下的四维相对论带电粒子动力学系统，开发了一种显式多物理结构保持Strang分裂格式。该格式不仅保持体积、能量和洛伦兹不变性，还给出位置和平行速度分量的二阶均匀误差界。我们对这些几何性质和误差收敛给出了严格理论证明，并通过数值实验验证。
英文摘要
In this paper, we develop an explicit multi-physics structure-preserving Strang splitting scheme for a four-dimensional relativistic charged-particle dynamical system in the presence of a strong magnetic field under the maximal ordering scaling. The proposed scheme not only preserves volume, energy, and Lorentz invariance, but also yields second-order uniform error bounds for the position and the parallel velocity component. We present rigorous theoretical proofs for these geometric properties and the error convergence, which are subsequently validated by several numerical experiments.
