The lattice Boltzmann equation: theory and applications

R Benzi, S Succi, M Vergassola - Physics Reports, 1992 - Elsevier
The basic elements of the theory of the lattice Boltzmann equation, a special lattice gas
kinetic model for hydrodynamics, are reviewed. Applications are also presented together …

Invertible cellular automata: a review

T Toffoli, NH Margolus - Physica D: Nonlinear Phenomena, 1990 - Elsevier
MIT Laboratory for Computer Science, Cambridge, MA 02139, USA 1.1. Preliminaries puter).
Invertible cellular automata (ICA) are Page 1 Physica D 45 (1990) 229-253 North-Holland …

[图书][B] The lattice Boltzmann equation: for fluid dynamics and beyond

S Succi - 2001 - books.google.com
In recent years, stylized forms of the Boltzmann equation, now going by the name of" Lattice
Boltzmann equation"(LBE), have emerged, which relinquish most mathematical complexities …

Use of the Boltzmann equation to simulate lattice-gas automata

GR McNamara, G Zanetti - Physical review letters, 1988 - APS
We discuss an alternative technique to the lattice-gas automata for the study of
hydrodynamic properties, namely, we propose to model the lattice gas with a Boltzmann …

Cellular automata

B Chopard, M Droz - Modelling of Physical, 1998 - Springer
Cellular automata Page 2 Lecture Notes in Computer Science 3305 Commenced
Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis …

[图书][B] Cellular automata machines: a new environment for modeling

T Toffoli, N Margolus - 1987 - books.google.com
Recently, cellular automata machines with the size, speed, and flexibility for general
experimentation at a moderate cost have become available to the scientific community …

[图书][B] Handbook of differential equations

D Zwillinger, V Dobrushkin - 2021 - api.taylorfrancis.com
Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

Lattice gas hydrodynamics in two and three dimensions

U Frisch, D d'Humières, B Hasslacher… - … Gas Methods for …, 2019 - api.taylorfrancis.com
Hydrodynamical phenomena can be simulated by discrete lattice gas models obeying
cellular automata rules [1, 2]. It is here shown for a class of D-dimensionallattice gas models …

[图书][B] Additive Cellular Automata: Theory and Applications, Volume 1

PP Chaudhuri, DR Chowdhury, S Nandi… - 1997 - books.google.com
This book presents an extensive survey and report of related research on important
developments in cellular automata (CA) theory. The authors introduce you to this theory in a …

Cellular automata as a paradigm for ecological modeling

P Hogeweg - Applied mathematics and computation, 1988 - Elsevier
We review cellular automata as a modeling formalism and discuss how it can be used for
modeling (spatial) ecological processes. The implications of this modeling paradigm for …