  We consider the inverse problem of H\"oldder-stably determining the time- and
space-dependent coefficients of the Schr\"odinger equation on a simple
Riemannian manifold with boundary of dimension $n\geq2$ from knowledge of the
Dirichlet-to-Neumann map. Assuming the divergence of the magnetic potential is
known, we show that the electric and magnetic potentials can be H\"older-stably
recovered from these data. Here we also remove the smallness assumption for the
solenoidal part of the magnetic potential present in previous results.
