I assume this is a laptop, during boot up can you hit F10 (or esc, or whatever) takes you into BIOS. There are usually some tools you can run for memory and hard disk test, to see if the hard drive passes. You could also try going into Safe Mode with Command Prompt and from CHKDSK /f to check main partition and fix any bad sectors.
At the top of the BSOD, does it give a filename or anything that is failing. Sometimes that will clue in to how to resolve. There is one that I have seen often with Symantec Endpoint Protection, but not sure your using that application.
