Have you tried running "checkdisk" ? In My Computer, right click on your system hard drive and choose Properties. Go to the Tools tab and click Check Now... for Error-checking.
If this is a new computer, unfortunately it may have been shipped with a bad component. What company did you purchase the computer from? They may have supplied a diagnostic tool which will do a check of all the hardware and conclude whether it is a hardware or software issue.
It sounds to me, especially being a new computer, that it could be any of the following:
bad RAM
bad motherboard
bad disk image
Of course, computer manufacturers will install an OS and all their software on one machine, and then image/clone it to all of the machiens they send out. It may just be a bad image on your computer which could easily be solved by using system recovery tools that most likely came bundled with your computer.
Another thing to try is to upgrade your video card drivers.