Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
arXiv:2001.11264 · doi:10.1016/j.cam.2020.112994
Abstract
Gyrocenter dynamics of charged particles plays a fundamental role in plasma physics. In particular, accuracy and conservation of energy are important features for correctly performing long-time simulations. For this purpose, we here propose arbitrarily high-order energy conserving methods for its simulation. The analysis and the efficient implementation of the methods are fully described, and some numerical tests are reported.
arXiv comment23 pages, 4 figures
References in corpus (9)
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- A unifying framework for the derivation and analysis of effective classes of one-step methods for ODEs
- A note on the efficient implementation of Hamiltonian BVMs
- Spectrally accurate space-time solution of Hamiltonian PDEs
- Efficient implementation of Gauss collocation and Hamiltonian Boundary Value Methods
- On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems
- High-order energy-conserving Line Integral Methods for charged particle dynamics
- Line Integral solution of Hamiltonian PDEs
- A note on the continuous-stage Runge-Kutta-(Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)