  We present a computational study of $L$-edge resonant inelastic x-ray
scattering (RIXS) in correlated 3$d$ transition-metal oxides using an $ab$
$initio$ method based on local density approximation + dynamical mean-field
theory (DMFT). The present method, building on Anderson impurity model with an
optimized continuum bath within DMFT, is an extension of the cluster model to
include unbound electron-hole pair excitations as well as material-specific
charge-transfer excitations with less empirical parameters. We find a good
agreement with available experimental data. The relationship between correlated
bands and fluorescence-like feature in the RIXS spectra is discussed.
