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Wavelets for Partial Differential Equations

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Abstract

The property of wavelet characterization of Sobolev and Besov spaces that we saw in the previous section is quite a powerful tool. In the next sections we will see how we can take advantage of such a property in the design of new efficient methods for the solution of PDEs. Let us assume from now on that we have a couple of multiresolution analyses V j and \( \tilde V_j \) satisfying all space and frequency localization assumptions of Section 2.2.

Keywords

Stokes Problem Approximation Space Nonlinear Approximation Wavelet Approximation Fast Wavelet 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 2009

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