Leapfrog Methods for Relativistic Charged-Particle Dynamics

DOI10.1137/23m1568946arXiv2304.13578MaRDI QIDQ6068308

Ernst Hairer, Yanyan Shi, Christian Lubich

Publication date: 15 December 2023

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.13578

zbMATH Keywords

energy conservationbackward error analysisstructure preservationrelativistic charged particleleapfrog integratormass shell conservation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Motion of charged particles (78A35) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

• Symplectic integration of magnetic systems
• Energy behaviour of the Boris method for charged-particle dynamics
• High-order integration scheme for relativistic charged particle motion in magnetized plasmas with volume preserving properties
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• High order explicit Lorentz invariant volume-preserving algorithms for relativistic dynamics of charged particles
• Large-stepsize integrators for charged-particle dynamics over multiple time scales
• Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field
• Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
• Time integration and discrete Hamiltonian systems
• Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Geometric Numerical Integration
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