Lattice Gas Methods For Partial Differential Equations: A Volume of Lattice Gas Reprints and Articles, Including Selected Papers from the Workshop on Large Nonlinear Systems, Held August, 1987 in Los Alamos, New Mexico

Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.