Wavelets for Partial Differential Equations

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


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.


Stokes Problem Approximation Space Nonlinear Approximation Wavelet Approximation Fast Wavelet 


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© Birkhäuser Verlag 2009

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