Quadratic 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%230001120" target="_blank" >RIV/46747885:24510/14:#0001120 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs00025-014-0402-6" target="_blank" >http://link.springer.com/article/10.1007%2Fs00025-014-0402-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00025-014-0402-6" target="_blank" >10.1007/s00025-014-0402-6</a>

Result language
angličtina
Original language name
Quadratic Spline Wavelets with Short Support for Fourth-Order Problems
Original language description
In the paper, we propose constructions of new quadratic spline-wavelet bases on the interval and the unit square satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have one vanishing moment. We show that stiffness 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.
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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Project
<a href="/en/project/EE.2.3.20.0086" target="_blank" >EE.2.3.20.0086: Strengthening international cooperation of the KLIMATEXT research team</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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