The Rodrigues integrator derived from exponential integrators performs comparably to the established Boris integrator in test-particle simulations of particles interacting with magnetic turbulence and does not require longer run times.
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Boris and Exponential Integrators in the Theory of Particles Interacting with Magnetic Turbulence
The Rodrigues integrator derived from exponential integrators performs comparably to the established Boris integrator in test-particle simulations of particles interacting with magnetic turbulence and does not require longer run times.