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Spectral deferred correction in particle-in-cell methods

Presented by: 
Jitse Niesen
Date: 
Monday 28th October 2019 - 15:15 to 16:00
Venue: 
INI Seminar Room 2
Abstract: 
Particle-in-cell methods solve the Maxwell equations for the electromagnetic
eld in combination with the equation of motion for the charged particles in a
plasma. The motion of charegd particles is usually computed using the Boris algorithm,
a variant of Stormer{Verlet for Lorentz force omputations, which has impressive
performance and order two (like Stormer{Verlet). Spectral deferred correction is an
iterative time stepping method based on collocation, which in each time step performs
multiple sweeps of a low-order method (here, the Boris method) in order to obtain a
high-order approximation. This talk describes the ongoing eorts of Kristoer Smedt,
Daniel Ruprecht, Steve Tobias and the speaker to embed a spectral deferred correction
time stepper based on the Boris method in a particle-in-cell method.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons