胡梦婷 博士(西安交通大学)

唐贻发 研究员

A structure-preserving integrator with uniform error bounds for relativistic charged particles under strong magnetic fields

9月24日（周四）14:00-15:00，南楼205

For the four-dimensional relativistic charged-particle system under the maximal ordering scaling of a strong magnetic field, we construct an explicit multi-physics structure-preserving Strang splitting scheme. The proposed scheme simultaneously preserves volume, energy, and Lorentz invariance, and achieves second-order uniform error bounds for the position and the parallel velocity component. Rigorous theoretical proofs of the geometric properties and convergence are provided, and numerical experiments verify the effectiveness of the method.

报告人简介：胡梦婷，西安交通大学数学与统计学院2025级博士研究生，研究方向为微分方程保结构数值方法。