Methods of Nonlinear Analysis

Three engineering professors lay down the foundation of singular perturbation theory for linear and nonlinear systems, and illustrate the theory with solved examples and applications. This reprint of

This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems

This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for ind

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for ind

Analytical chemistry is the branch of chemistry which separates, identifies and measures matter. The methods used in analytical chemistry can be classified into classical methods, wet chemical methods

Using a general approach, this book supports the student to enable mastery of the methods of analysis of isostatic and hyperstatic structures. To show the performance of the methods of analysis of the

This book enables the student to master the methods of analysis of isostatic and hyperstatic structures. To show the performance of the methods of analysis of the hyperstatic structures, some beams, g

The data analytic methods routinely applied in the analysis of recidivism data in criminology have been expanded to include immune individuals. This book describes the theory and methods of incorporat

A thorough review of the most current regression methods in time series analysis Regression methods have been an integral part of time series analysis for over a century. Recently, new developments ha

Too often in biostatistical research and clinical trials, a knowledge gap exists between developed statistical methods and the applications of these methods. Filling this gap, Clinical Trial Data Anal

This book presents general methods of circuit and network analysis by employing differential and integral calculus and transform methods with a strong emphasis on application. Chapter topics cover b

Protein analysis is increasingly becoming a cornerstone in deciphering the molecular mechanisms of life. Proteomics, the large-scale and high-sensitivity analysis of proteins, is already pivotal to th

This book deals with the behaviour of soft ground improved by some of the more common methods, including the installation of prefabricated vertical drains (PVDs), or the installation of soil-cement co

A complete revision to the theory, practice and applications of factor analysis in chemistry--a mathematical technique for studying matrices of data. Methods of factor analysis that are quicker, more

This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unif

Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data

Mathematically, natural disasters of all types are characterized by heavy tailed distributions. The analysis of such distributions with common methods, such as averages and dispersions, can therefore

The sheer number of variables of complex dynamic systems do not allow their workings or failures to be understood by linear thinking or standard analytical methods. Hollnagel (U. of Southern Denmark)

Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means of encoding isotropic phenomena. Directional multiscale sys

Causal analytics methods can revolutionize the use of data to make effective decisions by revealing how different choices affect probabilities of various outcomes. This book presents and illustrates m

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a

Decision Analysis for Management Judgment is unique in its breadth of coverage of decision analysis methods. It covers both the psychological problems that are associated with unaided managerial decis

This long awaited book is devoted to the methods of microlocal semiclassical analysis in application to spectral asymptotics with accurate remainder estimates. The very powerful machinery of local and

Based on methods of actual product developments from Goodyear Aerospace and Hewlett-Packard, this engrossing book provides specific guidelines plus a wealth of data for rapid and efficient development

In this volume, expert practitioners present a compilation of methods of functional data analysis (often referred to as “systems biology”) and its applications in drug discovery, medicine, and basic d

Deep Learning for Medical Image Analysis provides a clear understanding of the principles and methods of neural network and deep learning concepts, showing how the algorithms have been applied to medi

A Practical Guide to Instrumental Analysis covers basic methods of instrumental analysis, including electroanalytical techniques, optical techniques, atomic spectroscopy, X-ray diffraction, thermoanal

This thorough, modern exposition of classic numerical methods using MATLAB briefly develops the fundamental theory of each method. Rather than providing a detailed numerical analysis, the behavior of

This book sheds new light on Transform methods, which dominate the study of linear time-invariant systems in all areas of science and engineering, such as circuit theory, signal/image processing, comm

Almost a century ago, harmonic analysis entered a (still continuing) Golden Age, with the emergence of many great masters throughout Europe. They created a wealth of profound analytic methods, to be s

A comprehensive overview of how to scientifically evaluate of traditional Chinese medicines(TCMs), this book covers regulatory requirements, statistical design, and data analysis for studies conducted

This book gives a systematic, comprehensive, and unified account of modern nonparametric statistics of density estimation, nonparametric regression, filtering signals, and time series analysis. The c

This book is concerned with digital image processing techniques that use partial differential equations (PDEs) for the task of image 'inpainting', an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDEs to automate this task. This book introduces the mathematical concept of PDEs for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real-world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate studen

This detailed book collects the main methodologies used for the analysis of the activity, localization, and regulation of the components of the Mitotic Exit Network (MEN) pathway during mitotic exit i

Cost-Benefit Analysis provides accessible, comprehensive, authoritative, and practical treatments of the protocols for assessing the relative efficiency of public policies. Its review of essential concepts from microeconomics, and its sophisticated treatment of important topics with minimal use of mathematics helps students from a variety of backgrounds build solid conceptual foundations. It provides thorough treatments of time discounting, dealing with contingent uncertainty using expected surpluses and option prices, taking account of parameter uncertainties using Monte Carlo simulation and other types of sensitivity analyses, revealed preference approaches, stated preference methods including contingent valuation, and other related methods. Updated to cover contemporary research, this edition is considerably reorganized to aid in student and practitioner understanding, and includes eight new cases to demonstrate the actual practice of cost-benefit analysis. Widely cited, it is recog

Cost-Benefit Analysis provides accessible, comprehensive, authoritative, and practical treatments of the protocols for assessing the relative efficiency of public policies. Its review of essential concepts from microeconomics, and its sophisticated treatment of important topics with minimal use of mathematics helps students from a variety of backgrounds build solid conceptual foundations. It provides thorough treatments of time discounting, dealing with contingent uncertainty using expected surpluses and option prices, taking account of parameter uncertainties using Monte Carlo simulation and other types of sensitivity analyses, revealed preference approaches, stated preference methods including contingent valuation, and other related methods. Updated to cover contemporary research, this edition is considerably reorganized to aid in student and practitioner understanding, and includes eight new cases to demonstrate the actual practice of cost-benefit analysis. Widely cited, it is recog

This fifth edition of Histological and Histochemical Methods continues to provide a clear and consistent introduction to the techniques, description and analysis of the chemical and physical principle

This edited volume addresses the vast challenges of adapting Online Social Media (OSM) to developing research methods and applications. The topics cover generating realistic social network topologies,

Regulatory Non-Coding RNAs: Methods and Protocols offers a collection of methods for those interested in the discovery, localization, and functional analysis of these non-coding transcripts that have