| Edition |
1st ed. |
| Description |
1 online resource (xviii, 336 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
| Series |
Studies in mathematics and its applications, 0168-2024 ; v. 32 |
|
Studies in mathematics and its applications ; v. 32. 0168-2024
|
| Bibliography |
Includes bibliographical references (pages 321-333) and index. |
| Contents |
Basic examples -- Multiresolution approximation -- Approximation and smoothness -- Adaptivity. |
| Summary |
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. |
| Note |
Print version record. |
| Language |
English. |
| Subject |
Wavelets (Mathematics)
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Numerical analysis.
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Ondelettes.
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Analyse numérique.
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MATHEMATICS -- Infinity.
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Numerical analysis
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Wavelets (Mathematics)
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| Other Form: |
Print version: Cohen, Albert, 1965- Numerical analysis of wavelet methods. 1st ed. Amsterdam ; Boston : Elsevier, 2003 0444511245 9780444511249 (DLC) 2003050131 (OCoLC)51984805 |
| ISBN |
9780444511249 |
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0444511245 |
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9780080537856 (electronic bk.) |
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0080537855 (electronic bk.) |
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1281279579 |
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9781281279576 |
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9786611279578 |
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6611279571 |
| Standard No. |
AU@ 000048129796 |
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AU@ 000062580542 |
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CHNEW 001006588 |
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DEBBG BV036962329 |
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DEBBG BV039830197 |
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DEBBG BV042317336 |
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DEBSZ 276903617 |
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DEBSZ 482355379 |
|
NZ1 12433564 |
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NZ1 15192889 |
|
