The Most Powerful Computers You've Never Heard Of
This video is a fascinating insight into the comparison between analogue and digital computers.
https://www.youtube.com/watch?v=IgF3OX8 … mp;index=2
mentions analogue machines including the Differential Analyser  and the Norden bombsight, and digital machines, Eniac and Colossus amongst others.

The trend is back to analogue computers for some applications, now that transistors in chips are getting to atom sizes, and digital circuit complexity will have to stop increasing exponentially.

The Ankathera mechanism is mentioned at the start, but that is only a moment's into.