<div class="csl-bib-body">
<div class="csl-entry">Auzinger, W., Hofstätter, H., Koch, O., & Thalhammer, M. (2015). Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III. The nonlinear case. <i>Journal of Computational and Applied Mathematics</i>, <i>236</i>(10), 182–204. https://doi.org/10.1016/j.cam.2014.06.012</div>
</div>
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dc.identifier.issn
0377-0427
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/155885
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dc.description.abstract
The present work is concerned with the efficient time integration of nonlinear evolution equations by exponential operator splitting methods. Defect-based local error estimators serving as a reliable basis for adaptive stepsize control are constructed and analyzed. In the context of time-dependent nonlinear Schrödinger equations, asymptotical correctness of the local error estimators
associated with the first-order Lie-Trotter and second-order Strang splitting methods is proven. Numerical examples confirm the theoretical results and illustrate the performance of adaptive stepsize control.
en
dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
-
dc.relation.ispartof
Journal of Computational and Applied Mathematics
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dc.subject
Applied Mathematics
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dc.subject
Computational Mathematics
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dc.title
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III. The nonlinear case
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
182
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dc.description.endpage
204
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dc.relation.grantno
P24157-N13
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dc.type.category
Original Research Article
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tuw.container.volume
236
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tuw.container.issue
10
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.project.title
Adaptive Splitting for Nonlinear Schrödinger Equations
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tuw.researchTopic.id
X1
-
tuw.researchTopic.name
außerhalb der gesamtuniversitären Forschungsschwerpunkte
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tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Journal of Computational and Applied Mathematics
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tuw.publication.orgunit
E101-02 - Forschungsbereich Numerik
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tuw.publisher.doi
10.1016/j.cam.2014.06.012
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dc.date.onlinefirst
2014-06-14
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dc.identifier.eissn
1879-1778
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dc.description.numberOfPages
23
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wb.sci
true
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Analysis und Scientific Computing
de
wb.facultyfocus
Analysis and Scientific Computing
en
wb.facultyfocus.faculty
E100
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item.languageiso639-1
en
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item.fulltext
no Fulltext
-
item.openairetype
Artikel
-
item.openairetype
Article
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item.cerifentitytype
Publications
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_18cf
-
item.openairecristype
http://purl.org/coar/resource_type/c_18cf
-
item.grantfulltext
none
-
crisitem.project.funder
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
-
crisitem.project.grantno
P24157-N13
-
crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
-
crisitem.author.dept
E136 - Institut für Theoretische Physik
-
crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing