Is there any chance that Frenchy is sticking her nose on the power button to shut down the computer? Most new Dells will shut down if you push the power button, but then Frenchy would have to jump onto the ENTER key to confirm the question to shut down!
Damn Frogs ... always getting into problems. Did you know that Bill gates has a pet frog?
Does it ever shut down in the middle of you doing something on the computer, like browsing thru CC, or does it only restart when the computer is IDLE?
If its under warranty, call DELL. You could spend half your life tracking down a problem, where a Dell tech rep could probably fix problem in a slightly shorter time frame.
You said
"I didn't get but a few hours run time on it before the problem started."
What did you do during that few hours? Load any new software? If yes, remove it and see if it fixes the problem.
You said "after a while" .... is that 5 minutes, 45 minutes, 6 hours? Is the "a while time" the same duration each time it reboots?
Have Fun Fred. Its now 56 ºF outside and going to 63 ºF this afternoon, so I'm going for a ride with Turtle!!!!