The computer games design process is solely focused around the area of computer games. The headings differ from those in the general design process but they are effectively the same steps just broken down further and focussed toward particular tasks. The overall process takes on the form of 3 major stages with each containing a subset of smaller, more specific tasks.
The stages are called pre-production, production and post-production. As the names suggest the processes central objective is the creation/production of the game. The stages are discussed in greater depth HERE and the application of this theory is explained through text and video tutorials in the 3D Games Design section.