  We include resummation of large transverse logarithms into the
next-to-leading order Balitsky-Kovchegov equation. The resummed NLO evolution
equation is shown to be stable, the evolution speed being significantly reduced
by higher order corrections. The contributions from $\alpha_s^2$ terms that are
not enhanced by large logarithms are found to be numerically important close to
phenomenologically relevant initial conditions.
