Numerical Analysis of Wavelet Methods

Description

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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1. Ebooks list page : 2015
2. Abul Hasan Siddiqi - Applied Functional Analysis: Numerical Methods, Wavelet Methods and Image Processing
3. Abul Hasan Siddiqi - Applied Functional Analysis: Numerical Methods, Wavelet Methods and Image Proce
4. Multiscale Wavelet Methods for Partial Differential Equations (Wavelet Analysis and Its Applications)
5. Multivariate Polysplines Applications to Numerical and Wavelet Analysis
6. Multivariate Polysplines: Applications to Numerical and Wavelet Analysis
7. Multivariate Polysplines: Applications to Numerical and Wavelet Analysis
8. Multivariate Polysplines: Applications to Numerical and Wavelet Analysis (repost)
9. Wavelet Methods for Elliptic Partial Differential Equations (Numerical Mathematics and Scientific Computation)
10. Handbook of Numerical Analysis : Numerical Methods for Solids (Part 3), Numerical Methods for Fluids (Part 1)
11. Wavelet Methods for Time Series Analysis
12. Handbook of Numerical Analysis, Vol. 6: Numerical Methods for Solids
13. Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
14. Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
15. Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods
16. Handbook of Numerical Analysis: Techniques of Scientific Computing (Part 1), Numerical Methods for Solids (Part 1), Solution of