Though combustion is among the oldest sciences known to the human race, the advances in combustion have been for most part evolutionary, keeping pace with the increasing demands. Current and future propulsion systems require increased energy release with reduced chamber volume, increased equilibrium temperatures, multiphase reacting flows with radiative heat transfer, and sometimes with electric and magnetic forces. Strong intercoupling of these phenomena in a very hostile environment makes conventional design methodology of building and testing a formidable approach. Recent advances in supercomputing and massively parallel processing has brought forth computational capabilities hitherto unheard-of. These, together with the advances in mathematical formulations, open a new avenue in the pursuit of advances, or may be a new generation of combustion systems. There has been an extensive analytical and computational research done world wide in the various disciplines relating to combustion, and there was a need to bring the various contributions in one volume as a reference tool for the researcher and engineer. and as a supplementary text for graduate course in combustion. This book contains selected papers of international experts presented at the International Colloquium on Advanced Computation and Analysis of Combustion held in Moscow, Russia, May 12-15, 1997. The colloquium was co-sponsored by the US Office of Naval Research and the Russian Foundation for Basic Research. The book contains five parts: 1. Reduced Chemical Kinetics and Kinetics-Turbulence Interactions, 2. Multiphase Reactive Flows, 3. High Speed Turbulent Combustion, 4. Turbulent Combustion Modeling, and 5. Numerical Simulation of Combustion.