The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators

DOI10.1016/j.jcp.2022.111422OpenAlexW4283799854WikidataQ114163251 ScholiaQ114163251MaRDI QIDQ2157152

Siu A. Chin, Durward Cator

Publication date: 21 July 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01901

zbMATH Keywords

Boris solverslarge time-step methodsmagnetic field integratorsplasmas simulation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hamiltonian and Lagrangian mechanics (70Hxx)

Cites Work

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• Recent progress in the theory and application of symplectic integrators
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• Numerical error in electron orbits with large \(\omega{} _{ce}\Delta{} t\)
• Accurate numerical solution of charged particle motion in a magnetic field
• An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields
• Time-reversible difference procedures
• A Concise Introduction to Geometric Numerical Integration
• Lie series and invariant functions for analytic symplectic maps
• Canonical transformations depending on a small parameter

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