In Crysis 3 for the PC, PS3, and Xbox 360, you can assassinate (aka stealth kill) an enemy to take them down much faster than normal.
In order to perform an assassination though, you have to be cloaked and directly behind them, in extremely close range.
You should see a prompt come up on the screen when you are in proper range, so when you see it mash the melee button down and hold it for a second.
The hit box for a stealth kill is very small, so it’s much harder to achieve if you or your target are moving around.