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High-order energy-conserving Line Integral Methods for charged particle dynamics
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.Comment: 24 pages, 3 figures, 2 tables - few typos fixe