Journal
NUMERISCHE MATHEMATIK
Volume 144, Issue 3, Pages 699-728Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00211-019-01093-z
Keywords
65L05; 65P10; 78A35; 78M25
Categories
Funding
- Fonds National Suisse [200020_159856]
- Deutsche Forschungsgemeinschaft [SFB 1173]
- Swiss National Science Foundation (SNF) [200020_159856] Funding Source: Swiss National Science Foundation (SNF)
Ask authors/readers for more resources
The differential equations of motion of a charged particle in a strong non-uniform magnetic field have the magnetic moment as an adiabatic invariant. This quantity is nearly conserved over long time scales covering arbitrary negative powers of the small parameter, which is inversely proportional to the strength of the magnetic field. The numerical discretisation is studied for a variational integrator that is an analogue for charged-particle dynamics of the Stormer-Verlet method. This numerical integrator is shown to yield near-conservation of a modified magnetic moment and a modified energy over similarly long times. The proofs for both the continuous and the discretised equations use modulated Fourier expansions with state-dependent frequencies and eigenvectors.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available