Cubic spline wavelets with short support adapted to the interval

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F13%3A%230001138" target="_blank" >RIV/46747885:24510/13:#0001138 - isvavai.cz</a>
Result on the web
<a href="http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854759" target="_blank" >http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854759</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Cubic spline wavelets with short support adapted to the interval
Original language description
Wavelets with the short support and with vanishing moments which form well-conditioned basis are of interest for solving differential equations numerically. The condition number of wavelet bases on the interval depends on the length of the support and itcan be further significantly influenced by a proper construction of boundary wavelets. Few years ago, B. Han and Z. Shen constructed Riesz wavelet bases of the space L-2(R) with the shortest possible support and with m vanishing moments based on B-spline of order m. In this contribution, we start with their another wavelet with two vanishing moments based on cubic B-splines and propose an adaptation of this basis to the interval.
Czech name
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Czech description
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'13), AIP Conference Proceedings, Vol. 1570
ISBN
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ISSN
0094-243X
e-ISSN
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Number of pages
6
Pages from-to
221-226
Publisher name
American Institute of Physics
Place of publication
MELVILLE, NY 11747-4501 USA
Event location
Sozopol
Event date
Jan 1, 2013
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000346051300024

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