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LEAPFROG METHODS FOR RELATIVISTIC CHARGED-PARTICLE DYNAMICS.
- Source :
-
SIAM Journal on Numerical Analysis . 2023, Vol. 61 Issue 6, p2844-2858. 15p. - Publication Year :
- 2023
-
Abstract
- A basic leapfrog integrator and its energy-preserving and variational/symplectic variants are proposed and studied for the numerical integration of the equations of motion of relativistic charged particles in an electromagnetic field. The methods are based on a four-dimensional formulation of the equations of motion. Structure-preserving properties of the numerical methods are analyzed, in particular conservation and long-time near-conservation of energy and mass shell as well as preservation of volume in phase space. In the non-relativistic limit, the considered methods reduce to the Boris algorithm for non-relativistic charged-particle dynamics and its energy-preserving and variational/symplectic variants. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 61
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 174744444
- Full Text :
- https://doi.org/10.1137/23M1568946