<div class="csl-bib-body">
<div class="csl-entry">Haberlik, D. (2018). <i>Numerische Integration nichtlinearer Evolutionsgleichungen : Entwicklung und Implementierung verschiedener numerischer Verfahren</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2018.55246</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2018.55246
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/1886
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dc.description
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
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dc.description
Text in englischer Sprache
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dc.description.abstract
This diploma thesis deals with the analysis and the numerical implementation of integration schemes for evolution equations, as well as asymptotically correct defect-based local error estimators. Recent work in [Auzinger, Koch, Hofstätter (2018)] introduced the symmetrized defect for the linear, autonomous Schrödinger-type evolution equation, which proved to be of a higher asymptotical order than the well known classical defect, in the case of symmetric time-stepping. In [Auzinger, Koch (2018)] this result was proven to hold true also for nonlinear and nonautonomous evolution equations. In this thesis we recapitulate these results in a concise, but complete manner, whereby we set citations in a more general then detailed way. After that, we apply them to established, as well as newly constructed splitting schemes. To provide numerical verification of the theory, we consider several linear/nonlinear, autonomous/nonautonomous model problems.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
Einschrittverfahren
de
dc.subject
Differentialgleichungen
de
dc.subject
lokale Fehlerschätzung
de
dc.subject
one-step integrator
en
dc.subject
differential equations
en
dc.subject
local error estimation
en
dc.title
Numerische Integration nichtlinearer Evolutionsgleichungen : Entwicklung und Implementierung verschiedener numerischer Verfahren
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dc.title.alternative
Numerical integration of nonlinear evolution equations
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2018.55246
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Daniel Haberlik
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
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dc.type.qualificationlevel
Diploma
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dc.identifier.libraryid
AC15243590
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dc.description.numberOfPages
65
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dc.identifier.urn
urn:nbn:at:at-ubtuw:1-119521
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dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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tuw.advisor.orcid
0000-0002-9631-2601
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item.languageiso639-1
en
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item.fulltext
with Fulltext
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item.openaccessfulltext
Open Access
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item.mimetype
application/pdf
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item.openairetype
master thesis
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item.grantfulltext
open
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item.openairecristype
http://purl.org/coar/resource_type/c_bdcc
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item.cerifentitytype
Publications
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing