Part of Cambridge Texts in Applied Mathematics
Publication planned for: June 2017
availability: Not yet published - available from June 2017
format: Hardback
isbn: 9781107178519
format: Paperback
isbn: 9781316630969
Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.
Part of Cambridge Tracts in Mathematics
Publication planned for: June 2017
availability: Not yet published - available from June 2017
format: Hardback
isbn: 9781107120075
This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hormander's propagation of singularities theorem and uses this to prove the Duistermaat?Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.
Series: Mathematics Research Developments
Pub. Date: 2017 1st Quarter
Pages (Approximate): 100 pages (6x9)
Binding: Softcover k
ISBN: 978-1-53610-860-6
This books provides new research on the theories and applications of complex systems. Chapter One reviews the process algebra approach to quantum electrodynamics. Chapter Two describes a specific aspect of complex systems and the fact that they may consist of established subsystems or components that originate from converging industries. Chapter Three examines the development of the generalized nonlinear Schrodinger equation of rotating cosmogonical body formation. Chapter Four analyzes the application of neural network modeling in organizing a hierarchical teaching system based on mentorship. The final chapter presents two methods to evaluate the collaborative potential of a network of 16 organizations and identifies measures to promote their coordination.
Preface
Chapter 1
A Process Algebra Approach to Quantum Electrodynamics: Physics from the Top Up
(William Sulis, McMaster University, Hamilton, Canada)
Chapter 2
Realizing Success for Complex Converging Systems
(Geerten Van de Kaa, Faculty of Technology, Policy, and Management, Delft University of Technology, Delft, the Netherlands)
Chapter 3
Development of the Generalized Nonlinear SchroDinger Equation of Rotating Cosmogonical Body Formation
(Alexander M. Krot, Laboratory of Self-Organization System Modeling, United Institute of Informatics Problems of National Academy of Sciences of Belarus, Minsk, Belarus)
Chapter 4
The Application of Neural Network Modeling in Organizing a Hierarchical Teaching System Based on Mentorship
(Dashkina A and Tarkhov D, Peter the Great Saint-Petersburg Polytechnic
University, Russia)
Hardback
Published: 27 April 2017 (Estimated)
448 Pages | 5
246x171mm
ISBN: 9780198791942
International Series of Monographs on Physics
Early introduction to subject matter
Provides detailed derivations
Provides applications and problems involving low dimensional & nanostructured systems
This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. This introduction to the subject is intended to facilitate delivery of the material in an easily digestible form to advanced undergraduate physics majors at a relatively early stage of their scientific development. The main mechanism to accomplish this is the early introduction of variational calculus and the Schwinger Action Principle, accompanied by Green's functions. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green's function equations-of-motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and nonequilibrium Green's functions and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions include quantum plasma dynamic-nonlocal-screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as Superconductors, Superfluids and Graphene.
1st ed. 2017, XI, 136 p. 17 illus., 16 illus. in color.
Softcover
ISBN 978-3-319-52461-0
Series: Simula SpringerBriefs on Computing, Vol. 3
* Definitive and authoritative guide to FEniCS programming
* Revised, expanded and improved version of the very popular FEniCS
Tutorial chapter that many users have enjoyed for the last 5 years
* Teaches how to program advanced finite element solvers for
challenging applications in just minutes, including basic Python
programming, finite element methodology and its application to a
range of fundamental PDE models
* Comes with a series of example programs that demonstrate
fundamental techniques
* Can be used as a starting point for readers who want to implement
their own PDE solvers
This book offers a concise and gentle introduction to finite element programming in
Python based on the popular FEniCS software library. Using a series of examples, including
the Poisson equation, the equations of linear elasticity, the incompressible Navier?Stokes
equations, and systems of nonlinear advection?diffusion?reaction equations, it guides
readers through the essential steps to quickly solving a PDE in FEniCS, such as how to
define a finite variational problem, how to set boundary conditions, how to solve linear
and nonlinear systems, and how to visualize solutions and structure finite element Python
programs.
This book is open access under a CC BY license.