3 papers
math.NA2026
A filtered two-step variational integrator for charged-particle dynamics in a moderate or strong magnetic field
Ting Li, Bin Wang
This article is concerned with a new filtered two-step variational integrator for solving the charged-particle dynamics in a mildly non-uniform moderate or strong magnetic field wi…
math.NA2026
Explicit symmetric low-regularity integrators for the semilinear Klein-Gordon equation
Zhirui Shen, Bin Wang
This paper is concerned with the design and analysis of symmetric low-regularity integrators for the semilinear Klein-Gordon equation. We first propose a general symmetrization pro…
math.NA2025
Error and long-term analysis of two-step symmetric methods for relativistic charged-particle dynamics
Ting Li, Bin Wang, Ruili Zhang
In this work, we consider the error estimates and the long-time conservation or near-conservation of geometric structures, including energy, mass shell and phase-space volume, for…