  In this note we consider splitting methods based on linear multistep methods
and stabilizing corrections. To enhance the stability of the methods, we employ
an idea of Bruno & Cubillos (2016) who combine a high-order extrapolation
formula for the explicit term with a formula of one order lower for the
implicit terms. Several examples of the obtained multistep stabilizing
correction methods are presented, and results on linear stability and
convergence are derived. The methods are tested in the application to the
well-known Heston model arising in financial mathematics and are found to be
competitive with well-established one-step splitting methods from the
literature.
