Wavelet Bases on the Interval with Short Support and Vanishing Moments
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000825" target="_blank" >RIV/46747885:24510/12:#0000825 - isvavai.cz</a>
Result on the web
<a href="http://proceedings.aip.org/resource/2/apcpcs/1497/1/126_1?isAuthorized=no" target="_blank" >http://proceedings.aip.org/resource/2/apcpcs/1497/1/126_1?isAuthorized=no</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4766776" target="_blank" >10.1063/1.4766776</a>
Alternative languages
Result language
angličtina
Original language name
Wavelet Bases on the Interval with Short Support and Vanishing Moments
Original language description
Jia and Zhao have recently proposed a construction of a cubic spline wavelet basis on the interval which satisfies homogeneous Dirichlet boundary conditions of the second order. They used the basis for solving fourth order problems and they showed that Galerkin method with this basis has superb convergence. The stiffness matrices for the biharmonic equation defined on a unit square have very small and uniformly bounded condition numbers. In our contribution, we design wavelet bases with the same scalingfunctions and different wavelets. We show that our basis has the same quantitative properties as the wavelet basis constructed by Jia and Zhao and additionally the wavelets have vanishing moments. It enables to use this wavelet basis in adaptive waveletmethods and non-adaptive sparse grid methods. Furthermore, we even improve the condition numbers of the stiffness matrices by including lower levels.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12)
ISBN
978-0-7354-1111-1
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
126-131
Publisher name
AMER INST PHYSICS
Place of publication
MELVILLE, NY 11747-4501 USA
Event location
Sozopol, BULGARIA
Event date
Dec 6, 2012
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
312260000017