4 papers
Improved error estimates of a new splitting scheme for charged-particle dynamics in strong magnetic field with maximal ordering
Mengting Hu, Jiyong Li, Bin Wang
This paper introduces a novel second-order splitting scheme for charged-particle dynamics in strong magnetic fields characterized by the maximal ordering. The proposed scheme is ex…
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…
An Explicit Symmetric Exponential Integrator and Its Error Estimate for the Relativistic Charged-Particle Dynamics
Zhirui Shen, Bin Wang
This paper investigates the equations of motion for a relativistic charged particle in a general magnetic field. By reformulating the dynamics in four-dimensional spacetime and sep…
Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime
Lina Wang, Bin Wang, Jiyong Li
In this paper, we propose two novel fourth-order integrators that exhibit uniformly high accuracy and long-term near conservations for solving the nonlinear Dirac equation (NLDE) i…