  We include a resummation of large transverse momentum logarithms in the
next-to-leading order (NLO) Balitsky-Kovchegov equation. The resummed evolution
equation is shown to be stable, the evolution speed being significantly reduced
by NLO corrections. The contributions from NLO terms that are not enhanced by
large logarithms are found to be numerically important close to
phenomenologically relevant initial conditions. We numerically determine the
value for the constant in the resummed logarithm that includes a maximal part
of the full NLO terms in the resummation.
