MULTIWAVELETS BASED ON HERMITE CUBIC SPLINES

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000821" target="_blank" >RIV/46747885:24510/12:#0000821 - isvavai.cz</a>

Result on the web

<a href="http://acc-ern.tul.cz/images/journal/sbornik/ACC_Journal_4_2012.pdf" target="_blank" >http://acc-ern.tul.cz/images/journal/sbornik/ACC_Journal_4_2012.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

MULTIWAVELETS BASED ON HERMITE CUBIC SPLINES

Original language description

First multiwavelets have appeared around the early 1990s. The basic idea behind multiwavelets is simple: to replace the single scaling function ? by the multiscaling function ? to have some additional desired properties. It seems to be an interesting trade off because multiwavelets provide higher order approximation with shorter support than single scaling function. Moreover, it is possible to have both symmetric and orthogonal multiwavelets while this is not possible for single wavelets. In recent years, several simple constructions of wavelet bases based on Hermite cubic splines were proposed. In this contribution, we shortly review these constructions, use these wavelets to solve numerically differential equations, and compare their performance.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

O - Projekt operacniho programu

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ACC Journal

ISSN

1803-9782

e-ISSN

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Volume of the periodical

XVIII

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

10

Pages from-to

46-55

UT code for WoS article

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EID of the result in the Scopus database

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