<div class="csl-bib-body">
<div class="csl-entry">Auzinger, W., & Koch, O. (2022, July 7). <i>Adaptive exponential splitting</i> [Conference Presentation]. FAATNA20>22: Functional Analysis, Approximation Theory and Numerical Analysis, Matera, Italy. http://hdl.handle.net/20.500.12708/80240</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/80240
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dc.description
Vortrag auf Englisch (25 Minuten), in Präsenz
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dc.description.abstract
For the efficient numerical integration of
evolutionary differential equations with additive right-hand side,
u_t = F1(t,u) + F2(t,u) + ...
approximation by exponential splitting methods based on the solution and systematic recombination
of sub-problems is often a convenient choice.
For the purpose of reliable adaptive stepsize control,
several techniques for practical local error estimation are introduced and discussed,
and further works are devoted to particular applications, e.g., Schrödinger type problems
or hyperbolic problems. The employed techniques comprise optimized pairs of schemes,
Milne-type estimators, and defect-based approaches, and are used with schemes
of various approximation orders. Also, more than two suboperators are
treated. Coefficients of various optimized methods are collected at a web page.
In the simulation of magnetohydrodynamics, it is natural to split
the vector field into4-8operators, even. Additionally, certain positivity
conditions on the coefficients need to be satisfied. We discuss the
construction of methods and present numerical results for hyperbolic test problems.
en
dc.language.iso
en
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dc.subject
exponential splitting, adaptivity, wave equations
en
dc.title
Adaptive exponential splitting
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
Wolfgang Pauli Institute, Austria
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dc.rights.holder
Universität Matera, Italien
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dc.type.category
Conference Presentation
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tuw.publication.invited
invited
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tuw.researchTopic.id
C2
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Computational Fluid Dynamics
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
50
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tuw.researchTopic.value
50
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
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tuw.author.orcid
0000-0002-9631-2601
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tuw.author.orcid
0000-0002-1956-221X
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tuw.event.name
FAATNA20>22: Functional Analysis, Approximation Theory and Numerical Analysis
en
tuw.event.startdate
05-07-2022
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tuw.event.enddate
08-07-2022
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tuw.event.online
Hybrid
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tuw.event.type
Event for scientific audience
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tuw.event.place
Matera
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tuw.event.country
IT
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tuw.event.institution
Universität Matera
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tuw.event.presenter
Auzinger, Winfried
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tuw.event.track
Multi Track
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wb.sciencebranch
Physik, Astronomie
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1030
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
25
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wb.sciencebranch.value
75
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item.languageiso639-1
en
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item.openairetype
conference paper not in proceedings
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item.grantfulltext
restricted
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item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
