Item description for Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Lecture Notes in Mathematics) by Dieter A. Wolf-Gladrow...
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.
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Est. Packaging Dimensions: Length: 9.29" Width: 6.06" Height: 0.63" Weight: 1.1 lbs.
Release Date Mar 15, 2000
ISBN 3540669736 ISBN13 9783540669739
Availability 104 units. Availability accurate as of Jan 20, 2017 12:36.
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Reviews - What do customers think about Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Lecture Notes in Mathematics)?
often inspiring, but not self-contained May 6, 2008
This book is extremely well structured -as apparent from its table of contents. It describes and motivates the evolution from cellular automata to lattice-gas cellular automata to lattice Boltzmann schemes. It tells its story in a very brief yet lucid way. The text points to valuable references for further reading or for further explanation.
The main drawback is that -after all- it sometimes really are 'just' lecture notes in mathematics (being an aid mainly for those who follow the lectures). *Some* of the important derivations are very short and formal, with implicit mathematical shortcuts, and without giving any physical interpretation of the main formula's. In addition, once too often the reader is referred to the scientific literature -which is not always easily accessible. In other words: the book is not self-contained.
Nevertheless, I truly enjoyed reading the book from back to back, even though I had to work hard to get through some sections.
Computational Models of Physical Processes Jul 22, 2000
This is an outstanding book for anyone concerned with computational models of real physical processes (digital mechanics or digital physics). It is accessible to anyone with a bachelor's degree in computer science, mathematics, engineering, or physics. It is also accessible to others with a few years of math courses. Lattice gasses and lattice boltzmann machines are the natural extensions of cellular automata such as the game of life.