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Title: Quantitative properties of quadratic spline wavelet bases in higher dimensions (English)
Author: Černá, Dana
Author: Finěk, Václav
Author: Šimůnková, Martina
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 8-13, 2014
Issue: 2014
Pages: 41-46
Category: math
Summary: To use wavelets efficiently to solve numerically partial differential equations in higher dimensions, it is necessary to have at one’s disposal suitable wavelet bases. Ideal wavelets should have short supports and vanishing moments, be smooth and known in closed form, and a corresponding wavelet basis should be well-conditioned. In our contribution, we compare condition numbers of different quadratic spline wavelet bases in dimensions d = 1, 2 and 3 on tensor product domains (0,1)^d. (English)
Keyword: wavelet bases
Keyword: higher dimension
Keyword: condition number
MSC: 65T60
Date available: 2015-04-20T06:10:30Z
Last updated: 2015-04-20
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