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Wavelets in numerical simulation. Problem adapted construction and applications. (English) Zbl 0998.65147
Lecture Notes in Computational Science and Engineering. 22. Berlin: Springer. xv, 181 p. (2002).
In this book, the author discusses sophistication of wavelets as a numerical tool in large scale numerical simulation. The discussion topics include both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. All constructions are illustrated by figures and examples.

65T60 Numerical methods for wavelets
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis