The QTCM1 prognostic equations are finite-differenced on an Arakawa C-grid. The barotropic component is solved in a vorticity/streamfunction formulation using an Adams-Bashforth scheme. The baroclinic component is similar to a shallow-water equation and is solved by applying a ``forward-backward'' scheme using the updated variables instantly. This forward-backward scheme is described by Haltiner and Williams [24]. The numerical CFL instability criterion limits the model time-step at about 20 minutes, mostly due to the momentum advection associated with mid-latitude baroclinic waves. This chapter provides a more detailed description of the code and numerics used in the QTCM1.