Numerical Analysis of Wavelet Methods is popular PDF and ePub book, written by A. Cohen in 2003-04-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Numerical Analysis of Wavelet Methods can be Read Online from any device for your convenience.
Numerical Analysis of Wavelet Methods Book PDF 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.
Detail Book of Numerical Analysis of Wavelet Methods PDF
- Author : A. Cohen
- Release : 29 April 2003
- Publisher : Elsevier
- ISBN : 9780080537856
- Genre : Mathematics
- Total Page : 357 pages
- Language : English
- PDF File Size : 18,5 Mb
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