3 papers
math.NA2026
High-order uniformly accurate fully discrete schemes with long time near-conservations for two nonlinear coupled dispersive models in the nonrelativistic regime
Lina Wang, Jiyong Li, Bin Wang
Nonlinear coupled dispersive models arise in numerous physical settings, including quantum electrodynamics, nonlinear optics, and plasma dynamics. In the nonrelativistic limit, suc…
math.NA2026
A novel class of high-order uniformly accurate exponential integrators with local linear extension for the charged-particle dynamics under strong magnetic field
Lina Wang, Bin Wang, Beibei Zhu
In this paper, we develop a novel class of high-order uniformly accurate exponential integrators for charged-particle dynamics under a strong magnetic field. The small parameter $0…
math.NA2026
Explicit relaxation Particle-in-Cell methods for Vlasov-Poisson equations with a strong magnetic field
Lina Wang, Bin Wang
In this work, we present a novel family of explicit relaxation Particle-in-Cell (ER-PIC) methods for the Vlasov-Poisson equation with a strong magnetic field. These schemes achieve…