[analytic_kernel]

I think archaeolept's earlier suggestion about the video drivers (or Dedas' suggestion: hardware; in particular, video card) is worth checking into. Dom 3 is likely to hit the main memory in the same places as any other application, and so you would expect other apps to trigger memory-related problems as well. Thus, I would consider a problem with the main memory to be less likely. (Still wouldn't hurt to run memtest86, though.)

If the crash happens when you are about to view a battle from the turn summary, then 3D rendering could be triggering the problem. You might want to try another program that uses 3D rendering in hardware, particularly one that does it via OpenGL, and see if that can reproduce the crash.

Also, like Dedas said, details of the BSOD could help narrow down the problem.