TY - JOUR
T1 - Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field
AU - Wang, Bin
N1 - Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2021/5/15
Y1 - 2021/5/15
N2 - In this paper, a novel exponential energy-preserving method is formulated and analysed for solving charged-particle dynamics in a strong and constant magnetic field. The resulting method can exactly preserve the energy of the dynamics. Moreover, it is shown that the magnetic moment of the considered system is nearly conserved over a long time along this exponential energy-preserving method, which is proved by using modulated Fourier expansions. A numerical experiment is carried out to demonstrate the long-time behaviour of the method.
AB - In this paper, a novel exponential energy-preserving method is formulated and analysed for solving charged-particle dynamics in a strong and constant magnetic field. The resulting method can exactly preserve the energy of the dynamics. Moreover, it is shown that the magnetic moment of the considered system is nearly conserved over a long time along this exponential energy-preserving method, which is proved by using modulated Fourier expansions. A numerical experiment is carried out to demonstrate the long-time behaviour of the method.
KW - Charged-particle dynamics
KW - Exponential energy-preserving methods
KW - Long-time conservation
KW - Modulated Fourier expansions
UR - https://www.scopus.com/pages/publications/85076213732
U2 - 10.1016/j.cam.2019.112617
DO - 10.1016/j.cam.2019.112617
M3 - 文章
AN - SCOPUS:85076213732
SN - 0377-0427
VL - 387
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
M1 - 112617
ER -