الصفحة 1
الصفحة 1
Nonlinear Partial Differential Equations for Scientists and Engineers
This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Methods and properties of solutions are presented, along with their physical significance, making the book more useful for a diverse readership.
Models of Mechanics
This is a textbook on models and modeling in mechanics. It introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation.
Microwave Engineering : Concepts and Fundamentals
Covers everything from wave propagation to reflection and refraction, guided waves, and transmission lines, providing a comprehensive understanding of the underlying principles at the core of microwave engineering. This encyclopedic text not only encompasses nearly all facets of microwave engineering, but also gives all topics—including microwave generation, measurement, and processing—equal emphasis. Packed with illustrations to aid in comprehension. Describes the mathematical theory of waveguides and ferrite devices, devoting an entire chapter to the Smith chart and its applications Discusses different types of microwave components, antennas, tubes, transistors, diodes, and parametric devices Examines various attributes of cavity resonators, semiconductor and RF/microwave devices, and microwave integrated circuits
Introduction to Physics and Chemistry of Combustion : Explosion, Flame, Detonation
Most of the material covered in this book deals with the fundamentals of chemistry and physics of key processes and fundamental mechanisms for various combustion and combustion-related phenomena in gaseous combustible mixture. It provides the reader with basic knowledge of burning processes and mechanisms of reaction wave propagation
Hyperbolic Problems : Theory, Numerics, Applications ; Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17-21, 2006
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications held at the Ecole Normale Supérieure de Lyon, France, July 17-21, 2006. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modelling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly. The field is currently in interaction with a variety of scientific domains, including fluid dynamics, physics, electromagnetism, chemistry, biology, road and network traffic, and engineering. Many of these papers present new effective numerical methods and their application in various contexts.
High Order Difference Methods for Time Dependent PDE
Many books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if higher order methods have been known for a long time, the analysis of stability, accuracy and effectiveness is missing to a large extent. For example, the de?nition of the formal high order accuracy is based on the assumption that the true solution is smooth, or expressed differently, that the grid is ?ne enough such that all variations in the solution are well resolved. In many applications, this assumption is not ful?lled, and then it is interesting to know if a high order method is still effective. Another problem that needs thorough analysis is the construction of boundary conditions such that both accuracy and stability is upheld. And ?nally, there has been quite a strongdevelopmentduringthe last years, inparticularwhenit comesto verygeneral and stable difference operators for application on initial–boundary value problems.
Granular dynamic theory and its applications
Granular Dynamic Theory and Its Applications introduces both theory and applications in detail, including differential dynamical models of granular shearing, dynamical strength characteristics and the excited response of granules subject to vibration, granular liquefaction properties and the mechanisms under vibration, granular flow theory and vibration-aided flow, propagation laws of waves in granular media and their mechanism, fractal properties of granules, the vibrating ore-drawing technologies, and so on
Fundamentals of Structural Dynamics : Theory and Computation
Emphasizes numerical methods, nonlinear response of structures, and the analysis of continuous systems (e.g., wave propagation). Fundamentals of Structural Dynamics: Theory and Computation builds the theory of structural dynamics from simple single-degree-of-freedom systems through complex nonlinear beams and frames in a consistent theoretical context supported by an extensive set of MATLAB codes that not only illustrate and support the principles, but provide powerful tools for exploration. The book is designed for students learning structural dynamics for the first time but also serves as a reference for professionals throughout their careers.
Fundamentals of Shock Wave Propagation in Solids
This book forms an introduction to important aspects of shock-wave propagation in solid materials. Emphasis is on the regime of moderate compression that can be produced by high-velocity impact or detonation of chemical explosives.
Formulas of Acoustics
This collection of formulas has been written by applied scientists and industrial engineers for design professionals and students who work in engineering acoustics. It is subdivided into the most important fields of applied acoustics, each dealing with a well-defined type of problem.
Electronic engineering for neuromedicine
Advances in electronics have revolutionized diagnostic tools and created mobile medicine, touch-sensitive prosthetics, remote surgery, and artificial organs such as hearts, retinas, and bionic skins. This reference text shows the number of ways in which electronic engineering feeds into neuromedicine namely: the modelling and simulation of the brain, providing access to the brain, analysis of the signals and activities of the brain and influencing the function of the brain for therapeutic purposes. The areas of electronic engineering considered are electronic circuits, spectral analysis, filtering of signals, electromagnetic fields and wave propagation. The book is a valuable source to medical students and practitioners as well as electronic engineering and physics students and graduates.
Dynamics of soils and their engineering applications
Offers systematic dynamic analysis of soils and their engineering applications, including machine foundations, and aims to develop a clear understanding of the subject. It comprises sixteen chapters. Chapter 1 introduces the reader to the various problems in soil dynamics. In Chapter 2, concepts of theory of vibrations are discussed along with their applications in designing Vibration Absorbers and Pickups. Wave propagation in elastic medium including wave refraction in layered medium is covered in Chapter 3. Chapter 4 deals with the procedure of determining dynamic properties of soils using various laboratory and field tests. Dynamic earth pressures in retaining walls and dynamic bearing capacity of footings are dealt with in Chapters 5 and 6 respectively
Continuum Thermomechanics
The general goal of this book is to deduce rigorously, from the first principles, the partial differential equations governing the thermodynamic processes undergone by continuum media under forces and heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which general notions of thermodynamics are recalled, such as the Gibbs equilibrium theory.Linear approximate models are mathematically obtained by calculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations of thermoelastic solids and also for wave propagation in fluids (dissipative and non-dissipative acoustics and internal gravity waves).
Computational methods for nanoscale applications : Particles, plasmons and waves
Computational Methods for Nanoscale Applications: Particles, Plasmons and Waves presents new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling. This book describes well-known computational techniques such as finite-difference schemes, finite element analysis and Ewald summation, as well as a new finite-difference calculus of Flexible Local Approximation MEthods (FLAME) that qualitatively improves the numerical accuracy in a variety of problems. Application areas in the book include long-range particle interactions in homogeneous and heterogeneous media, electrostatics of colloidal systems, wave propagation in photonic crystals, photonic band structure, plasmon field enhancement, and metamaterials with backward waves and negative refraction.
Computational earthquake physics ; Part II
Exciting developments in earthquake science have benefited from new observations, improved computational technologies, and improved modeling capabilities. Designing realistic supercomputer simulation models for the complete earthquake generation process is a grand scientific challenge due to the complexity of phenomena and range of scales involved from microscopic to global. The present volume - Part II - incorporates computational environment and algorithms, data assimilation and understanding, model applications and iSERVO. Topics covered range from iSERVO and QuakeSim: implementing the international solid earth research virtual observatory by integrating computational grid and geographical information web services; LURR (Load-Unload Response Ratio) described in six papers involving this promising earthquake forecasting model; pattern informatics and phase dynamics and their applications, which was also a highlight in the Workshop; computational algorithms, including continuum damage models and visualization and analysis of geophysical datasets; evolution of mantle material; the state vector approach; and assimilation of data such as geodetic data, GPS data, and seismicity and laboratory experimental data.
Computational earthquake physics ; Part I
The book is divided into two parts: The present volume - Part I - focuses on microscopic simulation, scaling physics, dynamic rapture and wave propagation, earthquake generation, cycle and seismic pattern. Topics covered range from numerical developments, rupture and gouge studies of the particle model, Liquefied Cracks and Rayleigh Wave Physics, studies of catastrophic failure and critical sensitivity, numerical and theoretical studies of crack propagation, developments in finite difference methods for modeling faults, long time scale simulation of interacting fault systems, modeling of crustal deformation, through to mantle convection.
An Introduction to Echo Analysis : Scattering Theory and Wave Propagation
The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These scattering phenomena can be thought of as arising from some perturbation of a given, known system and they are analysed by developing a scattering theory. This monograph provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems.
