Geodesic
Recent developments in wavelet methods for the solution of PDE's
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 569-590

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

After reviewing some of the properties of wavelet bases, and in particular the property of characterisation of function spaces via wavelet coefficients, we describe two new approaches to, respectively, stabilisation of numerically unstable PDE's and to non linear (adaptive) solution of PDE's, which are made possible by these properties. 
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     author = {Bertoluzza, Silvia},
     title = {Recent developments in wavelet methods for the solution of {PDE's}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {569--590},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {3},
     year = {2005},
     mrnumber = {MR2182416},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a2/}
}
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Bertoluzza, Silvia. Recent developments in wavelet methods for the solution of PDE's. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 569-590. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a2/