Methods of Nonlinear Analysis

Pioneering presentation of basic theory, experimental methods and results, solution of boundary value problems. Six appendices. Updated bibliography.

This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variationa

This book demonstrates how nonlinear/non-Gaussian Bayesian time series estimation methods were used to produce a probability distribution of potential MH370 flight paths. It provides details of how th

Longitudinal Analysis of Labor Market Data presents a set of papers by leading scholars on methods for analysing the longitudinal data that is available on numerous topics of interest to social scientists. Because many sources of longitudinal data record labour market phenomena such as unemployment, labour supply, earnings mobility, job turnover and participation in training programmes, all of the papers collected in this volume focus on models of the labour market. The main methodological points, however, are more general and apply to such diverse areas as demography, life science analysis and training evaluation, to name only a few, potential avenues of application. The book contains important methodological contributions to the emerging field of longitudinal analysis and is of interest to a wide range of social scientists.

The theorems of Hawking and Penrose show that space-times are likely to contain incomplete geodesics. Such geodesics are said to end at a singularity if it is impossible to continue the space-time and geodesic without violating the usual topological and smoothness conditions on the space-time. In this book the different possible singularities are defined, and the mathematical methods needed to extend the space-time are described in detail. The results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor. While the Friedmann singularity is analysed as an example, the emphasis is on general theorems and techniques rather than on the classification of particular exact solutions.

Achieve faster and more efficient network design and optimization with this comprehensive guide. Some of the most prominent researchers in the field explain the very latest analytic techniques and results from stochastic geometry for modelling the signal-to-interference-plus-noise ratio (SINR) distribution in heterogeneous cellular networks. This book will help readers to understand the effects of combining different system deployment parameters on key performance indicators such as coverage and capacity, enabling the efficient allocation of simulation resources. In addition to covering results for network models based on the Poisson point process, this book presents recent results for when non-Poisson base station configurations appear Poisson, due to random propagation effects such as fading and shadowing, as well as non-Poisson models for base station configurations, with a focus on determinantal point processes and tractable approximation methods. Theoretical results are illustrate

This compelling book contains a comprehensive analytical treatment of the theory of production in a long-period framework. Although the authors take a 'Classical' approach to their subject, the scope of investigation and methods employed should interest all economic theorists. Professors Kurz and Salvadori explore economic systems that are characterised by a particular kind of primary input in the production process, such as different kinds of labour and natural resources. These systems and the corresponding prices can be understood to reflect characteristic features of a capitalist market economy in an ideal way: they express the pure logic of the relationship between value and distribution in an economic system. Specific chapters deal with prices and income distribution, economic growth, joint production, fixed capital, scarce natural resources (both renewable and exhaustible), and heterogeneous labour. The historical origins of the concepts used are also discussed in considerable de

This compelling book contains a comprehensive analytical treatment of the theory of production in a long-period framework. Although the authors take a 'Classical' approach to their subject, the scope of investigation and methods employed should interest all economic theorists. Professors Kurz and Salvadori explore economic systems that are characterised by a particular kind of primary input in the production process, such as different kinds of labour and natural resources. These systems and the corresponding prices can be understood to reflect characteristic features of a capitalist market economy in an ideal way: they express the pure logic of the relationship between value and distribution in an economic system. Specific chapters deal with prices and income distribution, economic growth, joint production, fixed capital, scarce natural resources (both renewable and exhaustible), and heterogeneous labour. The historical origins of the concepts used are also discussed in considerable de

A comprehensive and informed analysis explores the startlingly diverse and sophisticated fine arts in the Middle Ages.

The International Encyclopedia of Communication Research Methods covers all communication research methods, from data collection to data analysis, from qualitative to quantitative, and from classical

Whether to continue using traditional cost and benefit analysis methods such as systems and software engineering standards or to use a relatively new family of software development processes known as

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods

These lecture notes develop modern quantum field theory methods for the analysis of radiative states in a nonlinear quantum optical system having applications in electronics. Intended for graduate stu

Adaptive Sliding Mode Neural Network Control for Nonlinear Systems introduces nonlinear systems basic knowledge, analysis and control methods, and applications in various fields. It offers instructive

Advances in Quantum Chemistry presents surveys of current developments in this rapidly developing field. With invited reviews written by leading international researchers, each presenting new results,

Discover the nonlinear methods and tools needed to design real-world microwave circuits with this tutorial guide. Balancing theoretical background with practical tools and applications, it covers everything from the basic properties of nonlinear systems such as gain compression, intermodulation and harmonic distortion, to nonlinear circuit analysis and simulation algorithms, and state-of-the-art equivalent circuit and behavioral modeling techniques. Model formulations discussed in detail include time-domain transistor compact models and frequency-domain linear and nonlinear scattering models. Learn how to apply these tools to designing real circuits with the help of a power amplifier design example, which covers all stages from active device model extraction and the selection of bias and terminations, through to performance verification. Realistic examples, illustrative insights and clearly conveyed mathematical formalism make this an essential learning aid for both professionals worki

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems explores how Newton's equation for the motion of one particle in classical mechanics combined with finite difference methods a

Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical a

In this book, in view of engineering-related constraints, control and filtering problems for several classes of nonlinear stochastic systems has been discussed. In each chapter, the analysis problems

Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of

Discontinuity in dynamic systems is a tough property for analysis and control of the system. However, in practical engineering, we are often faced withthe discontinuity in control system design. In dy

Linlin Li addresses the analysis and design issues of observer-based FD and FTC for nonlinear systems. The author analyses the existence conditions for the nonlinear observer-based FD systems to gain

The general area of geophysical fluid mechanics is truly interdisciplinary. Now ideas from statistical physics are being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics and equilibrium statistical mechanics are introduced and applied to large time-selective decay, the effect of large scale forcing, nonlinear stability, fluid flow on a sphere and Jupiter's Great Red Spot. The book is the first to adopt this approach and it contains many recent ideas and results. Its audience ranges from graduate students and researchers in both applied mathematics and the geophysical sciences. It illustrates the richness of the interplay of mathematical analysis, qualitative models and numerical simulations which combine in the emerging area of computational science.

In this substantially revised edition of The Supreme Court's Federal Tax Jurisprudence, the author, Jack Cummings, continues his in-depth analysis of United States Supreme Court tax opinions using an

Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.

Reviews all approaches to calculating aerodynamics, including linearized and nonlinear approximate aerodynamic methods, allowing engineers to see the pros and cons of each approach and setting the sta

HPLC and CE Methods for Pharmaceutical Analysis The complete, up-to-date library at the click of a mouseThis invaluable database gives you fast, easy access to more than 13,000 abstracts from the curr

This monograph is an attempt to develop further and refine methods based on input -output descriptions for analyzing feedback systems. Contrary to previous work in this area, the treatment heavily emp

Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics includ

Survival analysis is a class of statistical methods for studying the occurrence and timing of events. Statistical analysis of longitudinal data, particularly censored data, lies at the heart of social

Real Analysis is indispensable for in-depth understanding and effective application of methods of modern analysis. This concise and friendly book is written for early graduate students of mathematics

Real Analysis is indispensable for in-depth understanding and effective application of methods of modern analysis. This concise and friendly book is written for early graduate students of mathematics

Topological analysis consists of those basic theorems of analysis which are essentially topological in character, developed and proved entirely by topological and pseudotopological methods. The object

Revised and?updated, this second edition of Walter Gautschi's successful Numerical Analysis?explores?computational methods?for problems arising in the areas of classical analysis, approximation theory