Efficient energy-preserving methods for charged-particle dynamics

Abstract

In this paper, energy-preserving methods are formulated and studied for solving charged-particle dynamics. We first formulate the scheme of energy-preserving methods and analyze its basic properties including algebraic order and symmetry. Then it is shown that these novel methods can exactly preserve the energy of charged-particle dynamics. Moreover, the long time momentum conservation is studied along such energy-preserving methods. A numerical experiment is carried out to illustrate the notable superiority of the new methods in comparison with the popular Boris method in the literature.

References in corpus (4)

• Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems
• Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations
• Explicit symplectic algorithms based on generating functions for charged particle dynamics
• Explicit symplectic adapted exponential integrators for charged-particle dynamics in a strong and constant magnetic field