Dissertation Abstracts International
Author:
Publisher:
Published: 1998
Total Pages: 826
ISBN-13:
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Physics of Stochastic Processes
Author: Reinhard Mahnke
Publisher: John Wiley & Sons
Published: 2009-08-04
Total Pages: 447
ISBN-13: 3527626107
DOWNLOAD EBOOKBased on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels. Solutions manual available for lecturers on www.wiley-vch.de
Traffic And Granular Flow
Author: Dietrich E Wolf
Publisher: World Scientific
Published: 1996-04-30
Total Pages: 394
ISBN-13: 9814547948
DOWNLOAD EBOOKPrediction of traffic (like weather forecast), its planning and control are counted among the great scientific and technological challenges. Similarly, flow of granular material like tablets or powders is of immense importance for industrial processing of solids. Both fields have intriguing conceptual analogies.From 9-11 October, 1995, the German Supercomputing Center HLRZ (Höchstleitungsrechenzentrum) at the research center Jülich (KFA) organized an international workshop 'Traffic and Granular Flow'. The purpose of this workshop was to promote the interaction between these two scientific fields, to which supercomputing is making essential contributions, and to stimulate the transfer between basic and applied research.
Stochastic Transport in Complex Systems
Author: Andreas Schadschneider
Publisher: Elsevier
Published: 2010-10-01
Total Pages: 585
ISBN-13: 0080560520
DOWNLOAD EBOOKThe first part of the book provides a pedagogical introduction to the physics of complex systems driven far from equilibrium. In this part we discuss the basic concepts and theoretical techniques which are commonly used to study classical stochastic transport in systems of interacting driven particles. The analytical techniques include mean-field theories, matrix product ansatz, renormalization group, etc. and the numerical methods are mostly based on computer simulations. In the second part of the book these concepts and techniques are applied not only to vehicular traffic but also to transport and traffic-like phenomena in living systems ranging from collective movements of social insects (for example, ants) on trails to intracellular molecular motor transport. These demonstrate the conceptual unity of the fundamental principles underlying the apparent diversity of the systems and the utility of the theoretical toolbox of non-equilibrium statistical mechanics in interdisciplinary research far beyond the traditional disciplinary boundaries of physics. - Leading industry experts provide a broad overview of the interdisciplinary nature of physics - Presents unified descriptions of intracellular, ant, and vehicular traffic from a physics point of view - Applies theoretical methods in practical everyday situations - Reference and guide for physicists, engineers and graduate students
Traffic Flow Dynamics
Author: Martin Treiber
Publisher: Springer Science & Business Media
Published: 2012-10-11
Total Pages: 505
ISBN-13: 3642324592
DOWNLOAD EBOOKThis textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specialized monographs, accessible to a broad readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineering and, more generally, also at students and professionals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The main part, after presenting different categories of traffic data, is devoted to a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopic many-particle models in which each particle corresponds to a vehicle and its driver. Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way. Finally, the theoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transportation systems, traffic operations management, and a detailed physics-based model for fuel consumption and emissions.
Cellular Automata Modeling of Physical Systems
Author: Bastien Chopard
Publisher: Cambridge University Press
Published: 1998-12-10
Total Pages: 357
ISBN-13: 0521461685
DOWNLOAD EBOOKSelf-contained, pedagogic introduction to powerful techniques for graduate students and researchers in physics and computer science.
Cellular Automata
Author: Andrew Ilachinski
Publisher: World Scientific
Published: 2001
Total Pages: 844
ISBN-13: 9789812381835
DOWNLOAD EBOOKCellular automata are a class of spatially and temporally discrete mathematical systems characterized by local interaction and synchronous dynamical evolution. Introduced by the mathematician John von Neumann in the 1950s as simple models of biological self-reproduction, they are prototypical models for complex systems and processes consisting of a large number of simple, homogeneous, locally interacting components. Cellular automata have been the focus of great attention over the years because of their ability to generate a rich spectrum of very complex patterns of behavior out of sets of relatively simple underlying rules. Moreover, they appear to capture many essential features of complex self-organizing cooperative behavior observed in real systems.This book provides a summary of the basic properties of cellular automata, and explores in depth many important cellular-automata-related research areas, including artificial life, chaos, emergence, fractals, nonlinear dynamics, and self-organization. It also presents a broad review of the speculative proposition that cellular automata may eventually prove to be theoretical harbingers of a fundamentally new information-based, discrete physics. Designed to be accessible at the junior/senior undergraduate level and above, the book will be of interest to all students, researchers, and professionals wanting to learn about order, chaos, and the emergence of complexity. It contains an extensive bibliography and provides a listing of cellular automata resources available on the World Wide Web.
Lattice-Gas Cellular Automata and Lattice Boltzmann Models
Author: Dieter A. Wolf-Gladrow
Publisher: Springer
Published: 2004-10-19
Total Pages: 320
ISBN-13: 3540465863
DOWNLOAD EBOOKLattice-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.
Traffic Flow Theory
Author: National Research Council (U.S.). Transportation Research Board
Publisher:
Published: 1998
Total Pages: 176
ISBN-13:
DOWNLOAD EBOOKIntroduction to the Foundations of Applied Mathematics
Author: Mark H. Holmes
Publisher: Springer Nature
Published: 2019-10-02
Total Pages: 535
ISBN-13: 3030242617
DOWNLOAD EBOOKThe objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ... Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ... One of the best features of the book is the abundant number of exercises found at the end of each chapter. ... I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009
