Slow manifolds of classical Pauli particle enable structure-preserving geometric algorithms for guiding center dynamics

DOI10.1016/j.cpc.2021.107981zbMath1521.37095arXiv2006.03818MaRDI QIDQ6098363

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Publication date: 13 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03818

zbMATH Keywords

geometric algorithmguiding center motiondiscrete variationclassical Pauli particlevolume-preserving algorithm

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (6)

Large-stepsize integrators for charged-particle dynamics over multiple time scales ⋮ On a large-stepsize integrator for charged-particle dynamics ⋮ Continuous-stage adapted exponential methods for charged-particle dynamics with arbitrary magnetic fields ⋮ Nearly periodic maps and geometric integration of noncanonical Hamiltonian systems ⋮ Hybrid simulation of energetic particles interacting with magnetohydrodynamics using a slow manifold algorithm and GPU acceleration ⋮ Normal stability of slow manifolds in nearly periodic Hamiltonian systems

Cites Work

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• On Landau damping
• Volume-preserving algorithms for charged particle dynamics
• Runge-Kutta schemes for Hamiltonian systems
• Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
• Backward error analysis for multistep methods
• INVITED: Slow manifold reduction for plasma science
• Symplectic integrators with adaptive time step applied to runaway electron dynamics
• Higher order volume-preserving schemes for charged particle dynamics
• Explicit \(K\)-symplectic algorithms for charged particle dynamics
• Discrete mechanics and variational integrators
• Symplectic Geometric Algorithms for Hamiltonian Systems
• Guiding center dynamics as motion on a formal slow manifold in loop space

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