Cubic spline wavelets with short support for fourth-order problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F14%3A%230001119" target="_blank" >RIV/46747885:24510/14:#0001119 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0096300314007309" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0096300314007309</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2014.05.065" target="_blank" >10.1016/j.amc.2014.05.065</a>

Result language
angličtina
Original language name
Cubic spline wavelets with short support for fourth-order problems
Original language description
In the paper, we propose a construction of new cubic spline-wavelet bases on the unit cube satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have vanishing moments. We show thatstiffness matrices arising from discretization of the biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. We present quantitative properties of the constructed bases and we show a superiority of our construction in comparison to some other cubic spline wavelet bases satisfying boundary conditions of the same type.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)