Are there any methods that help one fall asleep faster?

This doesn't work for me, but it's a good thing to do since you're already lying awake anyways. Think about all the things that happened in the day. Try to relate those things to events in the past. Think about stuff that you'd really like to happen or not happen in the future. Make up all sorts of desirable scenarios. Make up undesirable scenarios and ways to avoid them. Think about your videogame progress. Imagine what you haven't attained in the game yet could possibly look like. Think of a catchy part of a song and repeat it over and over again, and then try to get that song out of your mind, or switch to another favourite song. Reflect on your life.

Basically just clutter your mind with thoughts. Eventually you'll get tired of thinking and your desire to think may cease as you fall asleep. If not, then you've thought about stuff and you don't have to worry about it throughout the next day, or you've thought of ways to prevent it, etc.

Jam it back in, in the dark.