Wavelets based on Hermite cubic splines

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F16%3A00004031" target="_blank" >RIV/46747885:24510/16:00004031 - isvavai.cz</a>
Result on the web
<a href="http://aip.scitation.org/doi/pdf/10.1063/1.4951865" target="_blank" >http://aip.scitation.org/doi/pdf/10.1063/1.4951865</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Wavelets based on Hermite cubic splines
Original language description
In 2000, W. Dahmen et al. designed biorthogonal multi-wavelets adapted to the interval [0,1] on the basis of Hermite cubic splines. In recent years, several more simple constructions of wavelet bases based on Hermite cubic splines were proposed. We focus here on wavelet bases with respect to which both the mass and stiffness matrices are sparse in the sense that the number of nonzero elements in any column is bounded by a constant. Then, a matrix-vector multiplication in adaptive wavelet methods can be performed exactly with linear complexity for any second order differential equation with constant coefficients. In this contribution, we shortly review these constructions and propose a new wavelet which leads to improved Riesz constants. Wavelets have four vanishing wavelet moments.
Czech name
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Czech description
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Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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