<div class="csl-bib-body">
<div class="csl-entry">Rieder, A., Sayas, F.-J., & Melenk, J. M. (2021). Runge-Kutta approximation for C₀-semigroups in the graph norm with applications to time domain boundary integral equations. <i>Partial Differential Equations and Applications</i>, <i>1</i>(6), Article 49. https://doi.org/10.1007/s42985-020-00051-x</div>
</div>
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dc.identifier.issn
2662-2963
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/137419
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dc.description.abstract
We consider the approximation to an abstract evolution problem with inhomogeneous side constraint using A-stable Runge-Kutta methods. We derive a priori estimates in norms other than the underlying Banach space. Most notably, we derive estimates in the graph norm of the generator. These results are used to study convolution quadrature based discretizations of a wave scattering and a heat conduction
problem.
en
dc.language.iso
en
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dc.publisher
Springer Nature
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dc.relation.ispartof
Partial Differential Equations and Applications
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dc.title
Runge-Kutta approximation for C₀-semigroups in the graph norm with applications to time domain boundary integral equations
en
dc.type
Artikel
de
dc.type
Article
en
dc.contributor.affiliation
Department of Mathematical Sciences, University of Delaware, Newark, DE, USA
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dc.type.category
Original Research Article
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tuw.container.volume
1
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tuw.container.issue
6
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.researchTopic.id
C6
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Modelling and Simulation
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
20
-
tuw.researchTopic.value
80
-
dcterms.isPartOf.title
Partial Differential Equations and Applications
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tuw.publication.orgunit
E101-02 - Forschungsbereich Numerik
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tuw.publisher.doi
10.1007/s42985-020-00051-x
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dc.identifier.articleid
49
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dc.identifier.eissn
2662-2971
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dc.description.numberOfPages
47
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tuw.author.orcid
0000-0001-9024-6028
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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.openairecristype
http://purl.org/coar/resource_type/c_18cf
-
item.openairecristype
http://purl.org/coar/resource_type/c_18cf
-
item.languageiso639-1
en
-
item.fulltext
no Fulltext
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item.cerifentitytype
Publications
-
item.cerifentitytype
Publications
-
item.grantfulltext
none
-
item.openairetype
Artikel
-
item.openairetype
Article
-
crisitem.author.dept
Department of Mathematical Sciences, University of Delaware, Newark, DE, USA
