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Numerical methods for three-dimensional charged particle motion under strong magnetic field

Paper Authors:

Bin Wang,

Zhen Miao,

Yaolin Jiang

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Key Details

Transforms 3D charged particle dynamics equations to isolate fast magnetic field

Derives novel two-scale exponential integrators using this formulation

Demonstrates 1st to 4th order uniform accuracy over long times

Presents rigorous error analysis for the new integration schemes

Confirm improved error scaling in numerical experiments

AI generated summary

Numerical methods for three-dimensional charged particle motion under strong magnetic field

This paper introduces a new approach to design numerical integrators for simulating the motion of charged particles in three dimensions under a strong magnetic field. By transforming the equations and isolating the fast magnetic field component, improved algorithms are formulated and shown to have uniform accuracy over long time intervals. Rigorous analysis demonstrates 4 integrators with accuracy up to 4th order in time step, with error bounds independent of the magnetic field strength. A numerical test verifies the stable error behavior.

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