These are predominantly STOP 0x116 errors - and there's a limited number of possibilities there.
More info at this link: BSOD Index
The 3 most common causes for this are:
- video driver issues
- bad video card
I would suggest:
- downloading the appropriate ATI Driver - and only the driver, not the Catalyst Control Center. Pick option 2 in torrentg's link. FYI - I have seen issues occasionally with the CCC program.
- uninstalling all the current ATI stuff from Control Panel...Programs...Uninstall a program
- install the drivers that you downloaded
Then, open up the case and ensure that the graphics card's fan is working, and that there's no dust/crud obstructing the airflow inside the case.
If that does not fix the problems, then I'd suggest trying another video card. Since the computer is less than a year old, I'd expect that a defective video card would be covered under the manufacturer's warranty.