MULTIWAVELETS BASED ON HERMITE CUBIC SPLINES

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

MULTIWAVELETS BASED ON HERMITE CUBIC SPLINES

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

MULTIWAVELETS BASED ON HERMITE CUBIC SPLINES

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

ACC Journal

ISSN

1803-9782

e-ISSN

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Svazek periodika

XVIII

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

10

Strana od-do

46-55

Kód UT WoS článku

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EID výsledku v databázi Scopus

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