Wavelet Numerical Method and Its Applications in Nonlinear Problems, Zhou You-He
Автор: Lokenath Debnath; Firdous Ahmad Shah Название: Wavelet Transforms and Their Applications ISBN: 0817684174 ISBN-13(EAN): 9780817684174 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Wavelet Transforms and Their Applications
Описание: This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.
Описание: This textbook is unique because of its in-depth treatment of the applications of wavelets and wavelet transforms to many areas, across many disciplines.
Автор: Sabrine Arfaoui, Imen Rezgui, Anouar Ben Mabrouk Название: Wavelet Analysis on the Sphere: Spheroidal Wavelets ISBN: 311048109X ISBN-13(EAN): 9783110481099 Издательство: Walter de Gruyter Рейтинг: Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph is concerned with wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.
Contents Review of orthogonal polynomials Homogenous polynomials and spherical harmonics Review of special functions Spheroidal-type wavelets Some applications Some applications
Описание: The subject of wavelet analysis has been around for less than 15 years, yet it seems to be popping up everywhere. The major reason for this is its usefulness in applications. Wavelets reduce the data requirements in fields such as signal processing and approximation through their localization property: A function that is zero in an interval has a wavelet expansion whose partial sums are small or even zero. Since most of the information in a signal is in the region where it changes, only the local data corresponding to it needs to be considered. Wavelets do this much better than classical methods because of their “zoom-in” and “zoom-out” capabilities. Hence, wavelets appeal to scientists and engineers in any field that requires analyzing large amounts of data.This is an introductory, self-contained book on wavelet analysis and its applications, focusing on computer graphics and economics. The only prerequisite is a basic knowledge of calculus and linear algebra. For this reason, preliminary material on functional analysis, function theory, and Fourier analysis are covered in Chapter 1. The driving force of the development of wavelet analysis is described in Chapter 2 using step functions and Haar wavelets. Integral wavelet transform, discrete wavelet transform, classification of wavelets, multiresolution analysis, and wavelet algorithms for the decomposition and reconstruction of functions are presented in Chapter 3 of the book. The applications of wavelet transform in computer graphics and in economics are discussed in Chapters 4 and 5, respectively. Finally, Chapter 6 discusses some advanced material such as biorthogonal wavelets, two-dimensional wavelets, nonseparable multidimensional wavelets, and wavelet packets.
Автор: Khalil Ahmad; Abdullah Название: Wavelet Packets and Their Statistical Applications ISBN: 9811343756 ISBN-13(EAN): 9789811343759 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Поставка под заказ.
Описание: This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.
Автор: Marco Gallegati; Willi Semmler Название: Wavelet Applications in Economics and Finance ISBN: 3319382993 ISBN-13(EAN): 9783319382999 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book deals with the application of wavelet and spectral methods for the analysis of nonlinear and dynamic processes in economics and finance. It reflects some of the latest developments in the area of wavelet methods applied to economics and finance.
Автор: Ruch Название: Wavelet Theory: An Elementary Approach with Applications ISBN: 0470388404 ISBN-13(EAN): 9780470388402 Издательство: Wiley Рейтинг: Цена: 17574.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This self-contained, elementary introduction to wavelet theory and its applications provides a comprehensive treatment of the topic using two real-life applications: the FBI Wavelet Scalar Quantization Standard and image segmentation. Over 400 exercises plus extensive details and examples help readers gain a full understanding of the material.
Автор: Muszkats Juan Pablo, Seminara Silvia Alejandra, Troparevsky Marнa Inйs Название: Applications of Wavelet Multiresolution Analysis ISBN: 3030617122 ISBN-13(EAN): 9783030617127 Издательство: Springer Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work results from a selection of the contributions presented in the mini symposium "Applications of Multiresolution Analysis with "Wavelets", presented at the ICIAM 19, the International Congress on Industrial and Applied Mathematics held at Valencia, Spain, in July 2019.
Автор: Muszkats Juan Pablo, Seminara Silvia Alejandra, Troparevsky Marнa Inйs Название: Applications of Wavelet Multiresolution Analysis ISBN: 3030617157 ISBN-13(EAN): 9783030617158 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work results from a selection of the contributions presented in the mini symposium "Applications of Multiresolution Analysis with "Wavelets", presented at the ICIAM 19, the International Congress on Industrial and Applied Mathematics held at Valencia, Spain, in July 2019.
Описание: This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. The book is the third volume of the subseries "Advances in Partial Differential Equations".
The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction–diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena. It explores the analytical and numerical approximate solutions obtained by wavelet methods for both classical and fractional-order differential equations; provides comprehensive information on the conceptual basis of wavelet theory and its applications; and strikes a sensible balance between mathematical rigour and the practical applications of wavelet theory.
The book is divided into 11 chapters, the first three of which are devoted to the mathematical foundations and basics of wavelet theory. The remaining chapters provide wavelet-based numerical methods for linear, nonlinear, and fractional reaction–diffusion problems. Given its scope and format, the book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.
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