<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>
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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
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dc.language.iso
en
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dc.publisher
Springer
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dc.relation.ispartof
BIT Numerical Mathematics
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
Second order boundary value problems
en
dc.subject
Collocation methods
en
dc.subject
Asymptotically correct a posteriori error estimates
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dc.subject
Defect correction principle
en
dc.subject
Exact difference scheme
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dc.subject
Supraconvergence
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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 University, Weimar, Germany
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dc.rights.holder
Springer Science+Business Media Dordrecht 2014
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dc.type.category
Original Research Article
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.version
am
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dcterms.isPartOf.title
BIT Numerical Mathematics
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
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tuw.publisher.doi
10.1007/s10543-014-0488-y
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dc.identifier.eissn
1572-9125
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dc.identifier.libraryid
AC11359658
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-1130
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tuw.author.orcid
0000-0002-9631-2601
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dc.rights.identifier
Urheberrechtsschutz
de
dc.rights.identifier
In Copyright
en
wb.sci
true
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with Fulltext
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Publications
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http://purl.org/coar/resource_type/c_2df8fbb1
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en
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Open Access
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research article
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open
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E101 - Institut für Analysis und Scientific Computing