Large-stepsize integrators for charged particles in a strong magnetic field

This talk considers the numerical treatment of the differential equation that describes the motion of electric particles in a strong magnetic field. A standard integrator is the Boris algorithm which, for small stepsizes, can be analysed by classical techniques. For a strong magnetic field the solut...

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Bibliographic Details
Main Authors: Hairer, Ernst, Lubich, Christian
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Charged particles
Differential equations
Integrators
Magnetic fields
Numerical integration
Online Access:Get full text
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Summary:This talk considers the numerical treatment of the differential equation that describes the motion of electric particles in a strong magnetic field. A standard integrator is the Boris algorithm which, for small stepsizes, can be analysed by classical techniques. For a strong magnetic field the solution is highly oscillatory and the numerical integration is more challenging. New modifications of the Boris algorithm are discussed, and their accuracy and long-time behaviour are studied with means of modulated Fourier expansions. Emphasis is put on the situation where the stepsize is proportional to (or larger than) the wavelength of the oscillations.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0162149