Comment on ``Symplectic integration of magnetic systems: A proof that the Boris algorithm is not variational
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Publication:2374785
DOI10.1016/j.jcp.2015.09.007zbMath1349.37083arXiv1509.02863OpenAlexW2212659771MaRDI QIDQ2374785
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.02863
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Statistical mechanics of plasmas (82D10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items (8)
Energy behaviour of the Boris method for charged-particle dynamics ⋮ Large-stepsize integrators for charged-particle dynamics over multiple time scales ⋮ Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics ⋮ High-order energy-conserving line integral methods for charged particle dynamics ⋮ Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field ⋮ Efficient energy-preserving methods for charged-particle dynamics ⋮ Symmetric multistep methods for charged-particle dynamics ⋮ Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field
Cites Work
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- Symplectic integration of magnetic systems
- Volume-preserving algorithms for charged particle dynamics
- Comment on ``Symplectic integration of magnetic systems by Stephen D. Webb
- Volume-preserving integrators have linear error growth
- Helmholtz's inverse problem of the discrete calculus of variations
- Discrete mechanics and variational integrators
- Existence of invariant tori in volume-preserving diffeomorphisms
- Geometric Numerical Integration
- Volume-preserving integrators
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