Wavelet Methods for Dynamical Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wavelet Methods for Dynamical Problems write by S. Gopalakrishnan. This book was released on 2010-03-17. Wavelet Methods for Dynamical Problems available in PDF, EPUB and Kindle. Employs a Step-by-Step Modular Approach to Structural ModelingConsidering that wavelet transforms have also proved useful in the solution and analysis of engineering mechanics problems, up to now there has been no sufficiently comprehensive text on this use. Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite and Nano-co
Wavelet Methods — Elliptic Boundary Value Problems and Control Problems
Wavelet Methods — Elliptic Boundary Value Problems and Control Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wavelet Methods — Elliptic Boundary Value Problems and Control Problems write by Angela Kunoth. This book was released on 2012-12-06. Wavelet Methods — Elliptic Boundary Value Problems and Control Problems available in PDF, EPUB and Kindle. Diese Monographie spannt einen Bogen rund um die aktuelle Thematik Wavelets, um neueste Entwicklungen anhand aufeinander aufbauender Probleme darzustellen und das konzeptuelle Potenzial von Waveletmethoden für Partielle Differentialgleichungen zu demonstrieren.
Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering
Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering write by G. Hariharan. This book was released on 2019-09-17. Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering available in PDF, EPUB and Kindle. 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.
Numerical Analysis of Wavelet Methods
Numerical Analysis of Wavelet Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Analysis of Wavelet Methods write by A. Cohen. This book was released on 2003-04-29. Numerical Analysis of Wavelet Methods available in PDF, EPUB and Kindle. Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory. 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.
Wavelet Methods for Solving Fractional-order Dynamical Systems
Wavelet Methods for Solving Fractional-order Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wavelet Methods for Solving Fractional-order Dynamical Systems write by Kobra Rabiei. This book was released on 2022. Wavelet Methods for Solving Fractional-order Dynamical Systems available in PDF, EPUB and Kindle. In this dissertation we focus on fractional-order dynamical systems and classify these problems as optimal control of system described by fractional derivative, fractional-order nonlinear differential equations, optimal control of systems described by variable-order differential equations and delay fractional optimal control problems. These problems are solved by using the spectral method and reducing the problem to a system of algebraic equations. In fact for the optimal control problems described by fractional and variable-order equations, the variables are approximated by chosen wavelets with unknown coefficients in the constraint equations, performance index and conditions. Thus, a fractional optimal control problem is converted to an optimization problem, which can be solved numerically. We have applied the new generalized wavelets to approximate the fractional-order nonlinear differential equations such as Riccati and Bagley-Torvik equations. Then, the solution of this kind of problem is found using the collocation method. For solving the fractional optimal control described by fractional delay system, a new set of hybrid functions have been constructed. Also, a general and exact formulation for the fractional-order integral operator of these functions has been achieved. Then we utilized it to solve delay fractional optimal control problems directly. The convergence of the present method is discussed. For all cases, some numerical examples are presented and compared with the existing results, which show the efficiency and accuracy of the present method.
