Multiscale Wavelet Methods for Partial Differential Equations

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Release : 1997-08-13
Genre : Mathematics
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Book Rating : 146/5 ( reviews)

Multiscale Wavelet Methods for Partial Differential Equations - 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 Multiscale Wavelet Methods for Partial Differential Equations write by Wolfgang Dahmen. This book was released on 1997-08-13. Multiscale Wavelet Methods for Partial Differential Equations available in PDF, EPUB and Kindle. This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations. Specialists in numerical applications and engineers in a variety of fields will find Multiscale Wavelet for Partial Differential Equations to be a valuable resource. Covers important areas of computational mechanics such as elasticity and computational fluid dynamics Includes a clear study of turbulence modeling Contains recent research on multiresolution analyses with operator-adapted wavelet discretizations Presents well-documented numerical experiments connected with the development of algorithms, useful in specific applications

Numerical Analysis of Wavelet Methods

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Release : 2003-04-29
Genre : Mathematics
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Book Rating : 855/5 ( reviews)

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.

Numerical Analysis of Wavelet Methods

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Release : 2003-06-26
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Book Rating : 277/5 ( reviews)

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 Albert Cohen. This book was released on 2003-06-26. 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 Elliptic Partial Differential Equations

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Author :
Release : 2009
Genre : Mathematics
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Book Rating : 059/5 ( reviews)

Wavelet Methods for Elliptic Partial Differential Equations - 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 Elliptic Partial Differential Equations write by Karsten Urban. This book was released on 2009. Wavelet Methods for Elliptic Partial Differential Equations available in PDF, EPUB and Kindle. Wavelet methods are by now a well-known tool in image processing (jpeg2000). These functions have been used successfully in other areas, however. Elliptic Partial Differential Equations which model several processes in, for example, science and engineering, is one such field. This book, based on the author's course, gives an introduction to wavelet methods in general and then describes their application for the numerical solution of elliptic partial differential equations. Recently developed adaptive methods are also covered and each scheme is complemented with numerical results , exercises, and corresponding software.

École D'été D'Analyse Numérique

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Release : 1997*
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Book Rating : 055/5 ( reviews)

École D'été D'Analyse Numérique - 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 École D'été D'Analyse Numérique write by Jeffrey Saltzman. This book was released on 1997*. École D'été D'Analyse Numérique available in PDF, EPUB and Kindle.