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