High-order energy-conserving Line Integral Methods for charged particle dynamics
For computational physicists simulating charged particle dynamics, this provides a new class of high-order energy-conserving methods, though it is an incremental extension of existing Line Integral Methods.
The paper develops arbitrarily high-order energy-conserving numerical methods for charged particle dynamics using Line Integral Methods, with theoretical analysis and numerical validation.
In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within the framework of Line Integral Methods (LIMs), previously used for defining Hamiltonian Boundary Value Methods (HBVMs), a class of energy-conserving Runge-Kutta methods for Hamiltonian problems. A complete analysis of the new methods is provided, which is confirmed by a few numerical tests.