Geodesic
Wavelet method for solving the unsteady porous-medium flow problem with discontinuous coefficients
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2163-2179 
E. M. Abbasov; O. A. Dyshin; B. A. Suleimanov. Wavelet method for solving the unsteady porous-medium flow problem with discontinuous coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 12, pp. 2163-2179. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a8/
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     title = {Wavelet method for solving the unsteady porous-medium flow problem with discontinuous coefficients},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_12_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method is proposed for constructing stable approximate wavelet decompositions of weak solutions to boundary value problems for the unsteady porous-medium flow equation with discontinuous coefficients and inexact data. The method is based on the general scheme for finite-dimensional approximation in Tikhonov regularization and on multiresolution analysis with basis functions defined as the product of one-dimensional Daubechies wavelets.

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