TY - JOUR
T1 - Long-term analysis of exponential integrators for charged-particle dynamics in a strong and constant magnetic field
AU - Zou, Xin
AU - Wang, Bin
N1 - Publisher Copyright:
©World Scientific Publishing Company.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - For the charged-particle dynamics under a strong and constant magnetic field, we consider and analyze exponential integrators in this paper. We derive two kinds of exponential integrators and study their long-time behavior by using the technique of modulated Fourier expansions. It is shown that a symmetric two-stage exponential integrator and some one-stage symplectic exponential integrators approximately conserve the energy and magnetic moment of the charged-particle dynamics over long times.
AB - For the charged-particle dynamics under a strong and constant magnetic field, we consider and analyze exponential integrators in this paper. We derive two kinds of exponential integrators and study their long-time behavior by using the technique of modulated Fourier expansions. It is shown that a symmetric two-stage exponential integrator and some one-stage symplectic exponential integrators approximately conserve the energy and magnetic moment of the charged-particle dynamics over long times.
KW - Charged-particle dynamics
KW - exponential integrators
KW - long-time conservation
KW - modulated Fourier expansions
UR - https://www.scopus.com/pages/publications/85180499355
U2 - 10.1142/S179396232450017X
DO - 10.1142/S179396232450017X
M3 - 文章
AN - SCOPUS:85180499355
SN - 1793-9623
VL - 15
JO - International Journal of Modeling, Simulation, and Scientific Computing
JF - International Journal of Modeling, Simulation, and Scientific Computing
IS - 3
M1 - 2450017
ER -