  A novel description of kinetic theory dynamics is proposed in terms of
resummed moments that embed information of both hydrodynamic and
non-hydrodynamic modes. The resulting expansion can be used to extend
hydrodynamics to higher orders in a consistent and numerically efficient way;
at lowest order it reduces to an Israel-Stewart-like theory. This formalism is
especially suited to investigate the general problem of particles interacting
with fields. We tested the accuracy of this approach against the exact solution
of the coupled Boltzmann-Vlasov-Maxwell equations for a plasma in an
electromagnetic field undergoing Bjorken-like expansion, including extreme
cases characterized by large deviations from local equilibrium and large
electric fields. We show that this new resummed method maintains the fast
convergence of the traditional method of moments. We also find a new condition,
unrelated to Knudsen numbers and pressure corrections, that justifies the
truncation of the series even in situations far from local thermal equilibrium.
