Lattice 2000

Lattice 2000
Author: Tanmoy Bhattacharya
Publisher:
Total Pages: 916
Release: 2001
Genre: Field theory (Physics)
ISBN:

Lattice-Gas Cellular Automata and Lattice Boltzmann Models

Lattice-Gas Cellular Automata and Lattice Boltzmann Models
Author: Dieter A. Wolf-Gladrow
Publisher: Springer
Total Pages: 320
Release: 2004-10-19
Genre: Mathematics
ISBN: 3540465863

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.

Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory

Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory
Author: Vassilis G. Kaburlasos
Publisher: Springer Science & Business Media
Total Pages: 245
Release: 2007-02-07
Genre: Computers
ISBN: 3540341706

This research monograph proposes a unified, cross-fertilizing approach for knowledge-representation and modeling based on lattice theory. The emphasis is on clustering, classification, and regression applications. It presents novel tools and useful perspectives for effective pattern classification. The material is multi-disciplinary based on on-going research published in major scientific journals and conferences.

Lattice Boltzmann Method

Lattice Boltzmann Method
Author: A. A. Mohamad
Publisher: Springer
Total Pages: 222
Release: 2019-05-07
Genre: Science
ISBN: 1447174232

This book introduces readers to the lattice Boltzmann method (LBM) for solving transport phenomena – flow, heat and mass transfer – in a systematic way. Providing explanatory computer codes throughout the book, the author guides readers through many practical examples, such as: • flow in isothermal and non-isothermal lid-driven cavities; • flow over obstacles; • forced flow through a heated channel; • conjugate forced convection; and • natural convection. Diffusion and advection–diffusion equations are discussed, together with applications and examples, and complete computer codes accompany the sections on single and multi-relaxation-time methods. The codes are written in MatLab. However, the codes are written in a way that can be easily converted to other languages, such as FORTRANm Python, Julia, etc. The codes can also be extended with little effort to multi-phase and multi-physics, provided the physics of the respective problem are known. The second edition of this book adds new chapters, and includes new theory and applications. It discusses a wealth of practical examples, and explains LBM in connection with various engineering topics, especially the transport of mass, momentum, energy and molecular species. This book offers a useful and easy-to-follow guide for readers with some prior experience with advanced mathematics and physics, and will be of interest to all researchers and other readers who wish to learn how to apply LBM to engineering and industrial problems. It can also be used as a textbook for advanced undergraduate or graduate courses on computational transport phenomena

Lattice Statistics and Mathematical Physics

Lattice Statistics and Mathematical Physics
Author: Jacques H. H. Perk
Publisher: World Scientific
Total Pages: 330
Release: 2002
Genre: Science
ISBN: 9812382038

"Papers presented at the Nankai Symposium on 'Lattice Statistics and Mathematical Physics ... took place at the Nankai Institute of Mathematics in Tianjin, China"--P. v.

Lattice-Valued Logic

Lattice-Valued Logic
Author: Yang Xu
Publisher: Springer
Total Pages: 397
Release: 2012-11-02
Genre: Technology & Engineering
ISBN: 3540448470

Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems. In this textbook for the first time a general introduction on lattice-valued logic is given. It systematically summarizes research from the basic notions up to recent results on lattice implication algebras, lattice-valued logic systems based on lattice implication algebras, as well as the corresponding reasoning theories and methods. The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of intelligent learning tasks.

Lattice Theory: Special Topics and Applications

Lattice Theory: Special Topics and Applications
Author: George Grätzer
Publisher: Birkhäuser
Total Pages: 625
Release: 2016-10-08
Genre: Mathematics
ISBN: 3319442368

George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

Lattice Statistics And Mathematical Physics: Festschrift Dedicated To Professor Fa-yueh Wu On The Occasion Of His 70th Birthday, Proceedings Of Apctp-nankai Joint Symposium

Lattice Statistics And Mathematical Physics: Festschrift Dedicated To Professor Fa-yueh Wu On The Occasion Of His 70th Birthday, Proceedings Of Apctp-nankai Joint Symposium
Author: Mo-lin Ge
Publisher: World Scientific
Total Pages: 330
Release: 2002-11-06
Genre: Science
ISBN: 981448718X

This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7-11, 2001. The collection of papers is aimed at researchers, including graduate students, with an interdisciplinary interest and gives a brief introduction to many of the topics of current interest. These include new results on exactly solvable models in statistical mechanics, integrable through the Yang-Baxter equations, quantum groups, fractional statistics, random matrices, index theorems on the lattice, combinatorics, and other related topics.

Handbook on the Physics and Chemistry of Rare Earths

Handbook on the Physics and Chemistry of Rare Earths
Author:
Publisher: Elsevier
Total Pages: 475
Release: 2011-09-22
Genre: Science
ISBN: 0080557627

This continuing authoritative series deals with the chemistry, materials science, physics and technology of the rare earth elements. Volume 38 of the Handbook on the Physics and Chemistry of Rare Earth incorporates a recapitulation of the scientific achievements and contributions made by the late Professor LeRoy Eyring (1919-2005) to the science of the lanthanide oxides in which the lanthanide element has a valence equal to or greater than three. · Authoritative · Comprehensive · Up-to-date · Critical

Computational Intelligence Based on Lattice Theory

Computational Intelligence Based on Lattice Theory
Author: Vassilis G. Kaburlasos
Publisher: Springer
Total Pages: 375
Release: 2007-06-26
Genre: Computers
ISBN: 354072687X

This eighteen-chapter book presents the latest applications of lattice theory in Computational Intelligence (CI). The book focuses on neural computation, mathematical morphology, machine learning, and (fuzzy) inference/logic. The book comes out of a special session held during the World Council for Curriculum and Instruction World Conference (WCCI 2006). The articles presented here demonstrate how lattice theory may suggest viable alternatives in practical clustering, classification, pattern analysis, and regression applications.