Science/Engineering Numerical Analysis of Wavelet Methods (0444511245)

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A. Cohen “Numerical Analysis of Wavelet Methods"

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.

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	Science/Engineering Abul Hasan Siddiqi - Applied Functional Analysis: Numerical Methods, Wavelet Methods and Image Processing Abul Hasan Siddiqi, "Applied Functional Analysis: Numerical Methods, Wavelet Methods and Image Processing"Marcel Dekker \| ISBN 0824740971 \| Year 2004 \| 569 pages \| DjVu \| 3.8 MBGuide covers the most current analytical and numerical methods ...
	Study Abul Hasan Siddiqi - Applied Functional Analysis: Numerical Methods, Wavelet Methods and Image Proce Abul Hasan Siddiqi, "Applied Functional Analysis: Numerical Methods, Wavelet Methods and Image Processing"Marcel Dekker \| ISBN 0824740971 \| Year 2004 \| 569 pages \| DjVu \| 3.8 MBGuide covers the most current analytical and numerical methods ...
	Science/Engineering Multivariate Polysplines: Applications to Numerical and Wavelet Analysis Multivariate Polysplines: Applications to Numerical and Wavelet AnalysisAcademic Press \| ISBN 0124224903\| 2001-06-18 \| PDF \| 500 pages \| 12.6 MBMultivariate polysplines are a new mathematical technique that has arisen from a synthesis of a ...
	Science/Engineering Multiscale Wavelet Methods for Partial Differential Equations (Wavelet Analysis and Its Applications) Multiscale Wavelet Methods for Partial Differential Equations (Wavelet Analysis and Its Applications)Academic Press \| ISBN: 0122006755 \| 1997-01-15 \| PDF \| 570 pages \| 23 Mb This latest volume in the Wavelets Analysis and Its Applications S ...
	Science/Engineering Multivariate Polysplines: Applications to Numerical and Wavelet Analysis (repost) O. I. Kounchev, "Multivariate Polysplines: Applications to Numerical and Wavelet Analysis" Academic Press \| 2001 \| ISBN: 0124224903 \| 498 pages \| PDF \| 12,6 MB Multivariate polysplines are a new mathematical technique that has arisen from ...
	Science/Engineering Multivariate Polysplines Applications to Numerical and Wavelet Analysis Author: Ognyan Kounchev, «Multivariate Polysplines Applications to Numerical and Wavelet Analysis»Academic Press \| ISBN: 9780124224902 \| 2001 \| PDF \| 13 mbMultivariate polysplines are a new mathematical technique that has arisen from a sy ...

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