It would be good to know what kind of graphics your computer uses. The system requirements aren't real specific, but they do say this:
Windows PC (Win XP,VISTA or 7)
Modern 3D Graphics Card (not lowend, not on-board)
4.7 GB free space
If your graphics aren't up to the requirements, can you lower the graphics options before it crashes?
In my PC corner for the winter, gaming, knitting and reading.