DC Field
Value
Language
dc.contributor.author
Auzinger, Winfried
-
dc.contributor.other
Koch, Othmar
-
dc.contributor.other
Saboor Bagherzadeh, Amir
-
dc.date.accessioned
2020-06-27T18:49:50Z
-
dc.date.issued
2014-12
-
dc.identifier.citation
<div class="csl-bib-body"> <div class="csl-entry">Auzinger, W. (2014). Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations. <i>BIT Numerical Mathematics</i>. https://doi.org/10.1007/s10543-014-0488-y</div> </div>
-
dc.identifier.issn
0006-3835
-
dc.identifier.uri
https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:3-1130
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/1016
-
dc.description
The final publication is available at Springer via <a href="https://doi.org/10.1007/s10543-014-0488-y" target="_blank">https://doi.org/10.1007/s10543-014-0488-y</a>.
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dc.description.abstract
We investigate efficient asymptotically correct a posteriori error estimates for the numerical approximation of two-point boundary value problems for second order ordinary differential equations by piecewise polynomial collocation methods. Our error indicators are based on the defect of the collocation solution with respect to an associated exact difference scheme and backsolving using a cheap, low order finite-difference scheme. We prove high asymptotical correctness of this error indicator and illustrate the theoretical analysis by numerical examples.
en
dc.language
English
-
dc.language.iso
en
-
dc.publisher
Springer
-
dc.relation.ispartof
BIT Numerical Mathematics
-
dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
-
dc.subject
Second order boundary value problems
en
dc.subject
Collocation methods
en
dc.subject
Asymptotically correct a posteriori error estimates
en
dc.subject
Defect correction principle
en
dc.subject
Exact difference scheme
en
dc.subject
Supraconvergence
en
dc.title
Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Urheberrechtsschutz
de
dc.rights.license
In Copyright
en
dc.contributor.affiliation
Bauhaus-Universität Weimar, Germany
-
dc.rights.holder
Springer Science+Business Media Dordrecht 2014
-
dc.type.category
Original Research Article
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.version
am
-
dcterms.isPartOf.title
BIT Numerical Mathematics
-
tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
-
tuw.publisher.doi
10.1007/s10543-014-0488-y
-
dc.identifier.eissn
1572-9125
-
dc.identifier.libraryid
AC11359658
-
dc.identifier.urn
urn:nbn:at:at-ubtuw:3-1130
-
tuw.author.orcid
0000-0002-9631-2601
-
dc.rights.identifier
Urheberrechtsschutz
de
dc.rights.identifier
In Copyright
en
wb.sci
true
-
item.languageiso639-1
en
-
item.openairetype
research article
-
item.grantfulltext
open
-
item.fulltext
with Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.openaccessfulltext
Open Access
-
crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
-
crisitem.author.orcid
0000-0002-9631-2601
-
crisitem.author.parentorg
E100 - Fakultät für Mathematik und Geoinformation
-
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