http://www.risc.jku.at/people/ckoutsch/stuff/e_algorithms.html
http://www.uta.edu/faculty/rcli/TopTen/topten.pdf
If you use the integer detection relation algorithm, please leave a comment on how you used it. (The Euclidean algorithm does not count!)
I think the fast multipole algorithm is used by electrical engineers. If you use it, please leave a comment.