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Wavelet-based method

Wavelet-based methods were introduced by Beylkin[5] for the compression of matrices. In wavelet-based method the magnitude of components of a matrix can be dramatically compressed with the use of wavelet basis for discretisation of boundary integral equations and the dense matrix property could be avoided by replacing small-valued components with zero to such degree that the necessary precision is kept. Applications of wavelet-based methods to BIEM are found in [52,68,1,90,67].

Ken-ichi Yoshida