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Computational framework for particle and spin simulations based on the stochastic Galerkin method

: Slim, J.; Rathmann, F.; Heberling, D.


Physical Review. E 96 (2017), Nr.6, Art.063301
ISSN: 1063-651X
ISSN: 1539-3755
ISSN: 2470-0045
ISSN: 2470-0053
ISSN: 1550-2376
Fraunhofer FHR ()

An implementation of the polynomial chaos expansion is introduced as a fast solver of the equations of beam and spin motion of charged particles in electromagnetic fields. We show that, based on the stochastic Galerkin method, our computational framework substantially reduces the required number of tracking calculations compared to the widely used Monte Carlo method.