thats a hardware issue.., you need a new motherboard, graphics card and RAM. (processor too, sorry about the bad news) if you want to continue to use maya with its full potential.., i used to just delete the frame it stopped at.., then continued from there.., until the render was finished.
had the same problem for a long time.., and by the looks of when you registered here.., so have you
vest get on to it.., if it started recently it is DEFINITELY a hardware problem., IMHO
take it easy and life will be easy