  The simulation of problems in kinetic plasma physics are often challenging
due to strongly coupled phenomena across multiple scales. In this work, we
propose a wavelet-based coarse-grained numerical scheme, based on the framework
of Equation-Free Projective Integration, for a kinetic plasma system modeled by
the Vlasov-Poisson equations. A kinetic particle-in-cell (PIC) code is used to
simulate the meso scale dynamics for short time intervals. This allows the
extrapolation over long time-steps of the behavior of a coarse wavelet-based
discretization of the system. To validate the approach and the underlying
concepts, we perform two 1D1V numerical experiments: nonlinear propagation and
steepening of an ion wave, and the expansion of a plasma slab in vacuum. The
direct comparisons to resolved PIC simulations show good agreement. We show
that the speedup of the projective integration scheme over the full particle
scheme scales linearly with the system size, demonstrating efficiency while
taking into account fully kinetic, non-Maxwellian effects. This suggests that
the approach is potentially interesting for kinetic plasma problems with a
large separation of scales, especially in higher dimensions.
