Might be ISV valve, stuck in cold position? I'd take a look at the ISV, check firstly that with the ignition on it buzz's/hum's not sure how to best discribe it! if not then it's probably shot, but you should clean it out once in a while, carb cleaner works well, it might just, maybe, only a remote possibility, bring it back to life if it has only just stopped! also look at the old blue temp sender on top of the coolant flange, go VW for this.
Good luck