with my original iPad 1 and after the ios 5.1 upgrade in particular I sometimes had the occurrence of apps simply 'quiting' for no reason. Via the iPad forums board I picked up that memory shortage was probably the case and a reset would resolve the issue.
One of the upgrades with new iPad but no often referenced is that it has double the on board chip memory (from 512Kb to 1Gb) from iPad 2 (and 4 times more than the original iPad).
However the other days I had some random 'quits' on new iPad with "Ice Age Village" app.
I assume this may be a random app glitch rather than any sort of memory issues but interested to learn if any other new iPad users have had similar with this or other apps.