Abstract : This document contains twenty-four selected papers presented at the International Colloquium on Advanced Experimentation & Computation of Detonations, September 14-17 1998, St. Petersburg, Russia. The papers discuss recent advances made in understanding detonation wave initiation, propagation, mitigation and control through experimental and computational studies. The book contains five Parts: Detonation Initiation, Detonation Wave Structure and Propagation, Detonation Mitigation and Control, Applications of Detonation Phenomena, and Detonability of Advanced Fuels. The volume is intended to be a tool to explore the international state of the art and an avenue for further follow-up for the researchers and practicing engineers.