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Spectral deferred correction in particle-in-cell methods

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GCS - Geometry, compatibility and structure preservation in computational differential equations

Particle-in-cell methods solve the Maxwell equations for the electromagnetic eld in combination with the equation of motion for the charged particles in aplasma. The motion of charegd particles is usually computed using the Boris algorithm,a variant of Stormer{Verlet for Lorentz force omputations, which has impressiveperformance and order two (like Stormer{Verlet). Spectral deferred correction is aniterative time stepping method based on collocation, which in each time step performsmultiple sweeps of a low-order method (here, the Boris method) in order to obtain ahigh-order approximation. This talk describes the ongoing e orts of Kristo er Smedt,Daniel Ruprecht, Steve Tobias and the speaker to embed a spectral deferred correctiontime stepper based on the Boris method in a particle-in-cell method.

This talk is part of the Isaac Newton Institute Seminar Series series.

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