“…The Boris method was presented in [2] and it was researched further in [8,13,26]. Various other kinds of methods have also been researched for charged-particle dynamics, such as volume-preserving algorithms in [17], symplectic or K-symplectic algorithms in [18,29,33,35], and symmetric multistep methods in [14]. It is worth mentioning that, more recently, a variational integrator has been studied in [15] for solving charged-particle dynamics in a strong magnetic field.…”