The SIGSAM Challenges: Symbolic Asymptotics in Practice
Abstract
We present answers to 5~out of~10 of the «Problems, Puzzles, Challenges» proposed by G.~J.~Fee and M.~B.~Monagan in the March~1997 issue of the {\em Sigsam Bulletin}. In all cases, the answer to a seemingly numerical problem is obtained via series expansions and asymptotic methods. This illustrates more generally the crucial rôle played in the presence of singular behaviours by symbolic asymptotics as a bridge between symbolic computation and numerical computations.