  We generalize the linear discrete dimensional scaling approach for the
repulsive Hubbard model to obtain a nonlinear scaling relation that yields
accurate approximations to the ground-state energy in both two and three
dimensions, as judged by comparison to auxiliary-field quantum Monte Carlo
(QMC) data. Predictions are made for the per-site ground-state energies in two
and three dimensions for $n$ (filling factor) and $U$ (Coulomb interaction)
values for which QMC data are currently unavailable.
