Energy-preserving splitting methods for charged-particle dynamics in a normal or strong magnetic field

In this letter, we study energy-preserving (EP) splitting methods for solving charged-particle dynamics in a normal or strong magnetic field. Two novel EP splitting methods are formulated, and their energy-preserving property and accuracy are analysed. A numerical experiment is carried out to demonstrate the error and energy behaviour of the splitting methods. (c) 2021 Elsevier Ltd. All rights reserved.

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In this letter, energy-preserving (EP) splitting methods for solving charged-particle dynamics in normal or strong magnetic fields are studied. Two novel EP splitting methods are formulated and their energy-preserving property and accuracy are analyzed. A numerical experiment is conducted to demonstrate the error and energy behavior of the splitting methods.