About: Cubic spline wavelets satisfying homogeneous boundary conditions for fourth-order problems

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Cubic spline wavelets satisfying homogeneous boundary conditions for fourth-order problems Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper is concerned with a construction of cubic spline wavelet bases on the interval which are adapted to homogeneous Dirichlet boundary conditions for fourth-order problems. The resulting bases generate multiresolution analyses on the unit interval with the desired number of vanishing wavelet moments. Inner wavelets are translated and dilated versions of well-known wavelets designed by Cohen, Daubechies, and Feauveau. The construction of boundary scaling functions and wavelets is a delicate task, because they may significantly worsen conditions of resulting bases as well as condition numbers of corresponding stiffness matrices. We present quantitative properties of the constructed bases and we show superiority of our construction in comparison to some other known spline wavelet bases in an adaptive wavelet method for the partial differential equation with the biharmonic operator. The paper is concerned with a construction of cubic spline wavelet bases on the interval which are adapted to homogeneous Dirichlet boundary conditions for fourth-order problems. The resulting bases generate multiresolution analyses on the unit interval with the desired number of vanishing wavelet moments. Inner wavelets are translated and dilated versions of well-known wavelets designed by Cohen, Daubechies, and Feauveau. The construction of boundary scaling functions and wavelets is a delicate task, because they may significantly worsen conditions of resulting bases as well as condition numbers of corresponding stiffness matrices. We present quantitative properties of the constructed bases and we show superiority of our construction in comparison to some other known spline wavelet bases in an adaptive wavelet method for the partial differential equation with the biharmonic operator. (en)
Title	Cubic spline wavelets satisfying homogeneous boundary conditions for fourth-order problems Cubic spline wavelets satisfying homogeneous boundary conditions for fourth-order problems (en)
skos:prefLabel	Cubic spline wavelets satisfying homogeneous boundary conditions for fourth-order problems Cubic spline wavelets satisfying homogeneous boundary conditions for fourth-order problems (en)
skos:notation	RIV/46747885:24510/09:#0000221!RIV10-GA0-24510___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GP201/09/P641), P(LC06024)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Černá, Dana Finěk, Václav
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Technická univerzita v Liberci / Fakulta přírodovědně-humanitní a pedagogická
http://linked.open...dnocenehoVysledku	308675
http://linked.open...ai/riv/idVysledku	RIV/46747885:24510/09:#0000221
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	cubic spline-wavelets; construction; adaptive method; biharmonic equation (en)
http://linked.open.../riv/klicoveSlovo	adaptive method cubic spline-wavelets construction biharmonic equation
http://linked.open...ontrolniKodProRIV	[E3C7CA923A67]
http://linked.open...v/mistoKonaniAkce	Rethymno, Crete, Greece
http://linked.open...i/riv/mistoVydani	New York
http://linked.open...i/riv/nazevZdroje	Numerical analysis and applied mathematics, Volume 1
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Wavelet adaptive methods with stable bases Jaroslav Hájek Center for Theoretical and Applied Statistics
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Finěk, Václav Černá, Dana
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	BMO15
http://linked.open.../riv/zahajeniAkce	2009-09-18 (xsd:date)
issn	0094-243X
number of pages	4 (xsd:int)
http://purl.org/ne...btex#hasPublisher	American Institute of Physics
https://schema.org/isbn	9780735407053
http://localhost/t...ganizacniJednotka	24510

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 100 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software