<div class="csl-bib-body">
<div class="csl-entry">Pulverer, G. (2020). <i>Numerical solution of singular BVPs in ODEs and parabolic PDEs using collocation.</i> [Dissertation, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2021.30254</div>
</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2021.30254
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/17404
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dc.description
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
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dc.description
Kumulative Dissertation aus sieben Artikeln
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dc.description.abstract
The main part of this work covers the solution of initial-/boundary value problems of parabolic differential equations. A code for the solution of boundary value problems of ordinary differential equations using collocation is utilized to achieve that. Discretization in time yields a boundary value problem in space for each time step. The boundary value problem gets solved, trying to control step widths in time to satisfy both time and space tolerances. This way the parabolic differential equation can be solved numerically. The Matlab solver is then used for some test problems. To increase the efficiency of the solver a grid adaptation algorithm is developed to improve the performance of the solution of the boundary value problems. Furthermore boundary value problems of different applications will be solved and documented.
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
numerics
en
dc.subject
ODE
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dc.subject
PDE
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dc.subject
collocation
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dc.subject
singular
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dc.subject
BVP
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dc.subject
numerical analysis
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dc.title
Numerical solution of singular BVPs in ODEs and parabolic PDEs using collocation.
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dc.title.alternative
Numerische Lösung von singulären Randwertproblemen gewöhnlicher Differentialgleichungen und parabolischer partieller Differentialgleichung unter Verwendung von Kollokationsverfahren.
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.2021.30254
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Gernot Pulverer
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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
Doctoral
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dc.identifier.libraryid
AC16199675
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dc.description.numberOfPages
250
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dc.thesistype
Dissertation
de
dc.thesistype
Dissertation
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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item.languageiso639-1
en
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item.openairetype
doctoral thesis
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item.grantfulltext
open
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item.fulltext
with Fulltext
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item.cerifentitytype
Publications
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item.mimetype
application/pdf
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item.openairecristype
http://purl.org/coar/resource_type/c_db06
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item.openaccessfulltext
Open Access
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
