My advice is to keep showing him that you are there for him. reassuring is all fine and well but actions speak louder. Let him see what you have done to make yourself whole be steady and true with yourself and the times you are with him. Let him see that he can count on you and rely on you. Yes, tell him that you know you made a mistake and that running away wasn't the answer and that your marriage means so much more to you than you thought. Own up to your mistakes, which I am sure you have but he has got to see it come from your heart and mind. Show him that you are where he expects you to be or where you say you will be. Let him know and don't fight it if he asks about any move you make. Know too, that this will calm down once he feels he can trust you completely once again.
Also, work on being that catch. Show him how the wife that ran away is worth him letting back in to his life and your marriage.