About: A note on wavelet methods for singularly perturbed problems

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

About: A note on wavelet methods for singularly perturbed 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
rdfs:seeAlso	http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4902466
Description	Many problems in science and technology can be modeled by boundary value problems for singularly perturbed differential equations. In the modeling of these processes, one can observe boundary and interior layers whose width can be arbitrary small. To solve such types of problems a lot of methods were proposed. In this contribution, we focus on methods based on wavelets. Using wavelet discretization of singularly perturbed two-point boundary value problems, one can observe that condition numbers of arising stiffness matrices are growing with decreasing parameter epsilon when an unsymmetric part starts to dominate. We propose here a new simple diagonal preconditioning which significantly improves condition numbers of stiffness matrices for small value of parameter epsilon. Numerical examples are given. Many problems in science and technology can be modeled by boundary value problems for singularly perturbed differential equations. In the modeling of these processes, one can observe boundary and interior layers whose width can be arbitrary small. To solve such types of problems a lot of methods were proposed. In this contribution, we focus on methods based on wavelets. Using wavelet discretization of singularly perturbed two-point boundary value problems, one can observe that condition numbers of arising stiffness matrices are growing with decreasing parameter epsilon when an unsymmetric part starts to dominate. We propose here a new simple diagonal preconditioning which significantly improves condition numbers of stiffness matrices for small value of parameter epsilon. Numerical examples are given. (en)
Title	A note on wavelet methods for singularly perturbed problems A note on wavelet methods for singularly perturbed problems (en)
skos:prefLabel	A note on wavelet methods for singularly perturbed problems A note on wavelet methods for singularly perturbed problems (en)
skos:notation	RIV/46747885:24510/14:#0001137!RIV15-MSM-24510___
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	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	987
http://linked.open...ai/riv/idVysledku	RIV/46747885:24510/14:#0001137
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Cubic wavelets; preconditioning; singularly perturbed problems (en)
http://linked.open.../riv/klicoveSlovo	singularly perturbed problems preconditioning Cubic wavelets
http://linked.open...ontrolniKodProRIV	[0FFFBC8EA565]
http://linked.open...v/mistoKonaniAkce	Sozopol
http://linked.open...i/riv/mistoVydani	MELVILLE, NY 11747-4501 USA
http://linked.open...i/riv/nazevZdroje	APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14), AIP Conference Proceedings, Vol. 1631
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Finěk, Václav Černá, Dana
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open...ain/vavai/riv/wos	000346058100017
http://linked.open.../riv/zahajeniAkce	2014-01-01 (xsd:date)
issn	0094-243X
number of pages	3 (xsd:int)
http://purl.org/ne...btex#hasPublisher	American Institute of Physics
https://schema.org/isbn	9780735412705
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, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software