Cubic spline wavelets with complementary boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000814" target="_blank" >RIV/46747885:24510/12:#0000814 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S009630031200820X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S009630031200820X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2012.08.027" target="_blank" >10.1016/j.amc.2012.08.027</a>

Result language
angličtina
Original language name
Cubic spline wavelets with complementary boundary conditions
Original language description
We propose a new construction of a stable cubic spline-wavelet basis on the interval satisfying complementary boundary conditions of the second order. It means that the primal wavelet basis is adapted to homogeneous Dirichlet boundary conditions of the second order, while the dual wavelet basis preserves the full degree of polynomial exactness. We present quantitative properties of the constructed bases and we show superiority of our construction in comparison to some other known spline wavelet bases inan adaptive wavelet method for the partial differential equation with the biharmonic operator.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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