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math.NA2023
Leapfrog methods for relativistic charged-particle dynamics
Ernst Hairer, Christian Lubich, Yanyan Shi
A basic leapfrog integrator and its energy-preserving and variational / symplectic variants are proposed and studied for the numerical integration of the equations of motion of rel…
math.NA2022
Drift approximation by the modified Boris algorithm of charged-particle dynamics in toroidal geometry
Yanyan Shi
In this paper, we study the charged-particle dynamics under strong magnetic field in a toroidal axi-symmetric geometry. Using modulated Fourier expansions of the exact and numerica…
math.NA2022
On a large-stepsize integrator for charged-particle dynamics
Christian Lubich, Yanyan Shi
Xiao and Qin [Computer Physics Comm., 265:107981, 2021] recently proposed a remarkably simple modification of the Boris algorithm to compute the guiding centre of the highly oscill…