[Crash] League keeps crashing my computer!

At random times League makes my computer crash. This is a brand new Windows 7 computer and my internet connection is pretty good, so I don't know why this game (and only this game) would make my computer crash. League is one of the main reasons a got this computer so it would be absolutely terrible if I had to rage quit because it keeps banning me to the lower priority queue .

1. Start a match (any type of match)
2. Choose champion (any champion) and lock in
3. Proceed to loading screen
4. All load to 100%

And then my screen freezes, crashes, to a blue screen saying it is dumping the physical memory and then restarts the computer. So Riot can you please fix this, tell me ways that I can fix it, or stop banning me because of being "AFK" when really my whole computer crashed? I get that players will still report me, even if I say my computer crashed or even if i can make it back in time only 5 to 10 minutes in game and we still win!...**YES **this has happened to me so PLEASE PLEASE stop making me wait 20 minutes for a single match because that's just ridiculous. This has happened to me about 7 out of 10 games. So please...please stop making me wait because of my computer crashing. Thank you.