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

Slim, J; Rathmann, F; Heberling, D · Phys Rev E · 2017

basic_science · Level V

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Abstract

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.