<div class="csl-bib-body">
<div class="csl-entry">Auzinger, W., Hofstätter, H., Ketcheson, D., & Koch, O. (2017). Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes. <i>BIT Numerical Mathematics</i>. https://doi.org/10.1007/s10543-016-0626-9</div>
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The final publication is available at Springer via <a href="https://doi.org/10.1007/s10543-016-0626-9" target="_blank">https://doi.org/10.1007/s10543-016-0626-9</a>.
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dc.description.abstract
We present a number of new contributions to the topic of constructing efficient higher-order splitting methods for the numerical integration of evolution equations. Particular schemes are constructed via setup and solution of polynomial systems for the splitting coefficients. To this end we use and modify a recent approach for generating these systems for a large class of splittings. In particular, various types of pairs of schemes intended for use in adaptive integrators are constructed.
en
dc.description.sponsorship
Austrian Science Fund (FWF)
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dc.description.sponsorship
Vienna Science andTechnology Fund (WWTF)
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dc.language
English
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dc.language.iso
en
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dc.publisher
Springer
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dc.relation.ispartof
BIT Numerical Mathematics
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Evolution equations
en
dc.subject
Splitting methods
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dc.subject
Free Lie algebra
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dc.subject
Order conditions
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dc.subject
Local error
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dc.subject
Embedded methods
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dc.title
Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.contributor.affiliation
King Abdullah University of Science and Technology, Saudi Arabia
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dc.relation.grantno
P24157-N13
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dc.relation.grantno
MA-14-002
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dc.rights.holder
The Author(s) 2016
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dc.type.category
Original Research Article
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
-
tuw.version
vor
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dcterms.isPartOf.title
BIT Numerical Mathematics
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
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tuw.publisher.doi
10.1007/s10543-016-0626-9
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dc.date.onlinefirst
2016-07-28
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dc.identifier.eissn
1572-9125
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dc.identifier.libraryid
AC11360171
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-1971
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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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dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
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item.fulltext
with Fulltext
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item.grantfulltext
open
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.languageiso639-1
en
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item.openaccessfulltext
Open Access
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item.openairetype
research article
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item.cerifentitytype
Publications
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
-
crisitem.author.dept
E136 - Institut für Theoretische Physik
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crisitem.author.dept
King Abdullah University of Science and Technology
-
crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing
