  We use a relativistic highly improved staggered quark action to discretize
charm quarks on the lattice. We calculate the masses and the dispersion
relation for heavy-heavy and heavy-light meson states, and show that for
lattice spacings below .1 fm, the discretization errors are at the few percent
level. We also discuss the prospects for accurate calculations at the few
percent level of f_D_s, f_D, and the leptonic width of the psi and phi.
