الصفحة 3
الصفحة 3
Nonlinear Time Series Analysis in the Geosciences : Applications in Climatology, Geodynamics and Solar-Terrestrial Physics
This book presents recent developments in nonlinear time series which have been motivated by present day problems in geosciences. Modern methods of spatio-temporal data analysis, time-frequency analysis, dimension analysis, nonlinear correlation and synchronization analysis and other nonlinear concepts are used to study emerging questions in climatology, geophysics, solar-terrestrial physics and related scientific disciplines. This volume collects contributions of some of the world's leading experts in geoscientific time series analysis.
Nonlinear Structural Engineering : With Unique Theories and Methods to Solve Effectively Complex Nonlinear Problems
This book is aiming to concentrate on the nonlinear static and dynamic analysis of structures and structural components that are widely used in everyday engineering applications. It approaches a nonlinear problem by mathematically converting it into an exact equivalent pseudolinear one, in contrast to commonly used approaches which are based on linear concepts. The new concepts, theories and methods introduced in this book, simplify a great deal the solution of the complex nonlinear problems, and also allow for the correct usage of the powerful existing linear methods of analysis.
Nonlinear Problems of Elasticity
This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is devoted to the detailed study of illuminating specific problems of nonlinear elasticity. The mathematical tools from nonlinear analysis are given self-contained presentations where they are needed. This book begins with chapters on (geometrically exact theories of) strings, rods, and shells, and on the applications of bifurcation theory and the calculus of variations to problems for these bodies. The book continues with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamical problems. Each chapter contains a wealth of interesting, challenging, and tractable exercises.
Nonlinear Oscillations of Hamiltonian PDEs
After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein–Moser and Fadell–Rabinowitz resonant center theorems,the author develops the analogous theory for completely resonant nonlinear wave equations. Within this theory, both problems of small divisors and infinite bifurcation phenomena occur, requiring the use of Nash–Moser theory as well as minimax variational methods. These techniques are presented in a self-contained manner together with other basic notions of Hamiltonian PDEs and number theory.
Nonlinear Optimization with Financial Applications
The book introduces the key ideas behind practical nonlinear optimization. Computational finance—an increasingly popular area of mathematics degree programmes—is combined here with the study of an important class of numerical techniques. The essentials of most currently popular algorithms are described and their performance is demonstrated on a range of optimization problems arising in financial mathematics. Theoretical convergence properties of methods are stated and formal proofs are provided in enough cases to be instructive rather than overwhelming. Practical behaviour of methods is illustrated by computational examples and discussions of efficiency, accuracy and computational costs. Supporting software for the examples and exercises is available
Nonlinear Optimization with Engineering Applications
This textbook examines a broad range of problems in science and engineering, describing key numerical methods applied to real life. The case studies presented are in such areas as data fitting, vehicle route planning and optimal control, scheduling and resource allocation, sensitivity calculations and worst-case analysis.
Nonlinear Integer Programming
It is not an exaggeration that much of what people devote in their hfe re solves around optimization in one way or another. On one hand, many decision making problems in real applications naturally result in optimization problems in a form of integer programming. On the other hand, integer programming has been one of the great challenges for the optimization research community for many years, due to its computational difficulties: Exponential growth in its computational complexity with respect to the problem dimension. This book addresses the topic of the general nonlinear integer programming (NLIP). The overall goal of the book is to bring the state of the art of the theoretical foundations and solution methods of NLIP to readers who are interested in optimization, operations research and computer science. This book investigates the theory and solution methodologies for the general NLIP and provides the developments
Nonlinear Ill-posed Problems of Monotone Type
This monograph offers a systematic and thorough exposition of the theory and applications of non-linear equations and variational inequalities with monotone and accretive operators. … The authors have collected, classified, and properly arranged a great deal of results . The present book will certainly help the reader to obtain an introduction to basic ideas and results of the contemporary theory of solution methods for nonlinear monotone problems.
Nonlinear Finite Element Methods
Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics.
Nonlinear Elliptic and Parabolic Problems : A Special Tribute to the Work of Herbert Amann
The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann. The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and the theory of function spaces.
Non-Linear Electromechanics
This is the first book in which problems of electromechanics are considered from the perspective of analytical mechanics. The book includes fundamental results in the theory of non-linear electromechanical systems and will be useful both for researchers, engineers, scholars and graduate students of electromechanical faculties of technical universities. It includes not only theoretical results but also various examples from many industrial applications. A sizeable part of the book is devoted to the general theory of synchronous machines and electro-magnetic exciters of oscillations.
Nonlinear Dynamics of Chaotic and Stochastic Systems : Tutorial and Modern Developments
This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions themselves.
Non-Linear Dynamics and Fundamental Interactions
This volume contains the papers presented at the NATO Advanced Research Institute on "Non-Linear Dynamics and Fundamental Interactions" held in Tashkent, Uzbekistan, from Oct.10-16,2004. The main objective of the Workshop was to bring together people working in areas of Fundamental physics relating to Quantum Field Theory, Finite Temperature Field theory and their applications to problems in particle physics, phase transitions and overlap regions with the areas of Quantum Chaos. The other important area is related to aspects of Non-Linear Dynamics which has been considered with the topic of chaology. The applications of such techniques are to mesoscopic systems, nanostructures, quantum information, particle physics and cosmology. All this forms a very rich area to review critically and then find aspects that still need careful consideration with possible new developments to find appropriate solutions.
Nonlinear Analysis and Synthesis Techniques for Aircraft Control
Given the continuous increase in the complexity of aircraft control laws, and the corresponding - crease in the demands on their performance and reliability, industrial control law designers are highly motivated to explore the applicability of new and more powerful methods for design and analysis. The successful application of fully nonlinear control techniques to aircraft control problems o?ers the prospect of improvements in several di?erent areas. Firstly, there is the possibility of - proving design and analysis criteria to more fully re?ect the nonlinear nature of the dynamics of the aircraft. Secondly, the time and e?ort required on the part of designers to meet demanding speci?cations on aircraft performance and h- dling could be reduced. Thirdly, nonlinear analysis techniques could potentially reduce the time and resources required to clear ?ight control laws, and help to bridge the gap between design, analysis and ?nal ?ight clearance.
Noise-Induced Phenomena in Slow-Fast Dynamical Systems : A Sample-Paths Approach
Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book presents a new constructive approach to the quantitative description of solutions to systems of stochastic differential equations evolving on well-separated timescales. The method, which combines techniques from stochastic analysis and singular perturbation theory, allows the domains of concentration for typical sample paths to be determined, and provides precise estimates on the transition probabilities between these domains. In addition to the detailed presentation of the set-up and mathematical results, applications to problems in physics, biology, and climatology are discussed. The emphasis lies on noise-induced phenomena such as stochastic resonance, hysteresis, excitability, and the reduction of bifurcation delay.
Nodal Discontinuous Galerkin Methods : Algorithms, Analysis, and Applications
This book discusses a family of computational methods, known as discontinuous Galerkin methods, for solving partial differential equations. While these methods have been known since the early 1970s, they have experienced an almost explosive growth interest during the last ten to fifteen years, leading both to substantial theoretical developments and the application of these methods to a broad range of problems. These methods are different in nature from standard methods such as finite element or finite difference methods, often presenting a challenge in the transition from theoretical developments to actual implementations and applications.
NMR - From Spectra to Structures : An Experimental Approach
Nuclear magnetic resonance spectroscopy is one of the most powerful analytical methods. This practice-oriented textbook aims at teaching how NMR experiments should be used to make structural asssignments. The book is intended as a practical guide for students and laboratory personnel, so that the emphasis is on practical rather than on theoretical aspects, which are treated only to the extent necessary to understand the experiments and to interpret the results.The second edition has been expanded to include several other heteronuclei (15N, 19F, 29Si, 77Se, 113Cd, 117Sn/119Sn, 195Pt, 207Pb) and a new chapter on solid state NMR. The problems section has been enlarged and now includes 50 problems.
Nitrogen Cycling in the Americas : Natural and Anthropogenic Influences and Controls
The rate of creation of reactive nitrogen (NR) on the earth has dramatically increased in the last half century mainly due to the production of N-fertilizer through the Haber-Bosch process, fossil fuel combustion, and the cultivation of plants that fix N from the atmosphere. The anthropogenic production of NR has been especially high in developed countries of the temperate zone, such as the USA and Canada, where severe eutrophication of estuaries and coastal zones, acidification of lakes and streams, loss of biodiversity, and reduced forest productivity have become common environmental problems associated with increasing nitrogen loads to ecosystems. This book presents a series of studies from across the Americas whose aim is to highlight key natural processes that control nitrogen cycling as well as discuss the main anthropogenic influences on the nitrogen cycle in both the tropical and temperate regions of the Americas.
Newton-Euler Dynamics
Most books on "intermediate dynamics" covering advanced Newtonian and introductory Lagrangian methods.This material cannot be covered adequately in one course if it is to be shared with an introduction to Langrangian methods. This text is devoted to application of Newton-Euler methods to complex, real-life 3-D dynamics problems.
New Vision 2050 : A Platinum Society
Presents the "New Vision 2050," which adds the concept of the “platinum society” to the “Vision 2050”.The 20th century was a century in which energy led the development of material civilization, resulting in deletion of resources, global warming and climate change. What form should sustainable material and energy take to protect the Earth? The "Vision 2050" was established 20 years ago as a model that we should pursue for the next half century. Fortunately, the world is on course for the Vision 2050.Since the author presented the concept of "Vision 2050" in 1999, the idea has been introduced in two books entitled Vision 2050: Roadmap for a Sustainable Earth (2008) and Beyond the Limits to Growth: New Ideas for Sustainability from Japan(2014). The latter includes a chapter that sheds light on the concept of a “platinum society”. In this publication, the author presents the "New Vision 2050" in more detail.
