Lattice Gas Cellular Automata and Lattice Boltzmann Models : An Introduction Lattice gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5. From the contents: Introduction: Preface; Overview The basic idea of lattice gas cellular automata and lattice Boltzmann models. Cellular Automata: What are cellular automata A short history of cellular automata One dimensional cellular automata Two dimensional cellular automata Lattice gas cellular automata: The HPP lattice gas cellular automata The FHP lattice gas cellular automata Lattice tensors and isotropy in the macroscopic limit Desperately seeking a lattice for simulations in three dimensions 5 FCHC The pair interaction (PI) lattice gas cellular automata Multi speed and thermal lattice gas cellular automata Zanetti (staggered) invariants Lattice gas cellular automata: What else Some statistical mechanics: The Boltzmann equation Chapman Enskog: From Boltzmann to Navier Stokes The maximum entropy principle. Lattice Boltzmann Models: .... Appendix.