Numerical methods, energy conservation, and a new method for particle motion in magnetic fields

DOI10.1016/j.matcom.2022.09.015OpenAlexW4297537054MaRDI QIDQ2104335

V. Arendt

Publication date: 7 December 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.09.015

zbMATH Keywords

numerical methodsmagnetic fieldsenergy conservationcharged particlescosmic rays

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Optics, electromagnetic theory (78-XX)

Cites Work

• Fourth-order symplectic integration
• A family of embedded Runge-Kutta formulae
• Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
• A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
• On Runge-Kutta processes of high order
• Analytical description of nonlinear cosmic ray scattering: isotropic and quasilinear regimes of pitch-angle diffusion

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