  We present an extension of the multi-moment advection scheme (Minoshima et
al., 2011, J. Comput. Phys.) to the three-dimensional case, for full
electromagnetic Vlasov simulations of magnetized plasma. The scheme treats not
only point values of a profile but also its zeroth to second order piecewise
moments as dependent variables, and advances them on the basis of their
governing equations. Similar to the two-dimensional scheme, the
three-dimensional scheme can accurately solve the solid body rotation problem
of a gaussian profile with little numerical dispersion or diffusion. This is a
very important property for Vlasov simulations of magnetized plasma. We apply
the scheme to electromagnetic Vlasov simulations. Propagation of linear waves
and nonlinear evolution of the electron temperature anisotropy instability are
successfully simulated with a good accuracy of the energy conservation.

Computational Physics;Earth and Planetary Astrophysics;Solar and Stellar Astrophysics;Plasma Physics