Lattice Functions And Equations PDF Download
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Author | : Sergiu Rudeanu |
Publisher | : Springer Science & Business Media |
Total Pages | : 442 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 144710241X |
Download Lattice Functions and Equations Book in PDF, ePub and Kindle
One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.
Author | : Dieter A. Wolf-Gladrow |
Publisher | : Springer |
Total Pages | : 320 |
Release | : 2004-10-19 |
Genre | : Mathematics |
ISBN | : 3540465863 |
Download Lattice-Gas Cellular Automata and Lattice Boltzmann Models Book in PDF, ePub and Kindle
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.
Author | : Gary Doolen |
Publisher | : CRC Press |
Total Pages | : 584 |
Release | : 2019-03-01 |
Genre | : Mathematics |
ISBN | : 0429717504 |
Download Lattice Gas Methods For Partial Differential Equations Book in PDF, ePub and Kindle
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.
Author | : Jean Bourgain |
Publisher | : Princeton University Press |
Total Pages | : 183 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0691120986 |
Download Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158) Book in PDF, ePub and Kindle
This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrödinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. The physical motivation of these models extends back to the works of Rudolph Peierls and Douglas R. Hofstadter, and the models themselves have been a focus of mathematical research for two decades. Jean Bourgain here sets forth the results and techniques that have been discovered in the last few years. He puts special emphasis on so-called "non-perturbative" methods and the important role of subharmonic function theory and semi-algebraic set methods. He describes various applications to the theory of differential equations and dynamical systems, in particular to the quantum kicked rotor and KAM theory for nonlinear Hamiltonian evolution equations. Intended primarily for graduate students and researchers in the general area of dynamical systems and mathematical physics, the book provides a coherent account of a large body of work that is presently scattered in the literature. It does so in a refreshingly contained manner that seeks to convey the present technological "state of the art."
Author | : Ignazio Licata and Sauro Succi |
Publisher | : MDPI |
Total Pages | : 291 |
Release | : 2018-07-17 |
Genre | : Electronic books |
ISBN | : 3038423068 |
Download Non-Linear Lattice Book in PDF, ePub and Kindle
This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy
Author | : András P. Huhn |
Publisher | : North Holland |
Total Pages | : 792 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : |
Download Contributions to Lattice Theory Book in PDF, ePub and Kindle
Author | : Michio Jimbo |
Publisher | : American Mathematical Soc. |
Total Pages | : 180 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0821803204 |
Download Algebraic Analysis of Solvable Lattice Models Book in PDF, ePub and Kindle
Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys recent developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. Because results in this subject were scattered in the literature, this book fills the need for a systematic account, focusing attention on fundamentals without assuming prior knowledge about lattice models or representation theory. After a brief account of basic principles in statistical mechanics, the authors discuss the standard subjects concerning solvable lattice models in statistical mechanics, the main examples being the spin 1/2 XXZ chain and the six-vertex model. The book goes on to introduce the main objects of study, the corner transfer matrices and the vertex operators, and discusses some of their aspects from the viewpoint of physics. Once the physical motivations are in place, the authors return to the mathematics, covering the Frenkel-Jing bosonization of a certain module, formulas for the vertex operators using bosons, the role of representation theory, and correlation functions and form factors. The limit of the XXX model is briefly discussed, and the book closes with a discussion of other types of models and related works.
Author | : Alexei A. Maradudin |
Publisher | : |
Total Pages | : 182 |
Release | : 1969 |
Genre | : Crystal lattices |
ISBN | : |
Download Lattice Dynamics Book in PDF, ePub and Kindle
Author | : Takaji Inamuro |
Publisher | : World Scientific |
Total Pages | : 166 |
Release | : 2021-11-19 |
Genre | : Science |
ISBN | : 9811240531 |
Download Introduction To The Lattice Boltzmann Method, An: A Numerical Method For Complex Boundary And Moving Boundary Flows Book in PDF, ePub and Kindle
The book introduces the fundamentals and applications of the lattice Boltzmann method (LBM) for incompressible viscous flows. It is written clearly and easy to understand for graduate students and researchers.The book is organized as follows. In Chapter 1, the SRT- and MRT-LBM schemes are derived from the discrete Boltzmann equation for lattice gases and the relation between the LBM and the Navier-Stokes equation is explained by using the asymptotic expansion (not the Chapman-Enskog expansion). Chapter 2 presents the lattice kinetic scheme (LKS) which is an extension method of the LBM and can save memory because of needlessness for storing the velocity distribution functions. In addition, an improved LKS which can stably simulate high Reynolds number flows is presented. In Chapter 3, the LBM combined with the immersed boundary method (IB-LBM) is presented. The IB-LBM is well suitable for moving boundary flows. In Chapter 4, the two-phase LBM is explained from the point of view of the difficulty in computing two-phase flows with large density ratio. Then, a two-phase LBM for large density ratios is presented. In Appendix, sample codes (available for download) are given for users.
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.