In this work, we consider the error estimates of some splitting schemes for the charged-
particle dynamics under a strong magnetic field. We first propose a novel energy-preserving …

In this paper, we consider a class of highly oscillatory Hamiltonian systems which involve a
scaling parameter. The problem arises from many physical models in some limit parameter …

In this paper, Particle-in-Cell algorithms for the Vlasov–Poisson system are presented based
on its Poisson bracket structure. The Poisson equation is solved by finite element methods …

We introduce a new electrostatic particle-in-cell algorithm capable of using large timesteps
compared to particle gyro-period under a uniform external magnetic field. The algorithm …

The Boris algorithm, a closely related variational integrator and a newly proposed filtered
variational integrator are studied when they are used to numerically integrate the equations …

The aim of this paper is to formulate and analyze numerical discretizations of charged-
particle dynamics (CPD) in a strong nonuniform magnetic field. A strategy is firstly performed …

This paper investigates the numerical algorithm and its error estimates for the dynamics of
relativistic charged particles under a strong maximal ordering scaling magnetic field. To …

In this paper we address the computational aspects of uniformly accurate numerical
methods for solving highly oscillatory evolution equations. In particular, we introduce an …

We extend the asymptotic preserving and energy conserving time integrator for charged-
particle motion developed in [Ricketson & Chacón, JCP, 2020] to include finite Larmor …

We describe the structure of an original application of the method of moments to the Vlasov–
Poisson system with non constant strong magnetic field in three dimensions of space. Using …