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dc.contributor.author
Bourquin, Raoul
dc.date.accessioned
2017-06-11T23:32:20Z
dc.date.available
2017-06-11T23:32:20Z
dc.date.issued
2015-04
dc.identifier.uri
http://hdl.handle.net/20.500.11850/111348
dc.description.abstract
Gauss points are not nested and for this reason one searches for quadrature rules with nested points and similar efficiency. A well studied source of candidates are the Kronrod-Patterson extensions. Under suitable conditions it is possible to build towers of nested rules. We investigate this topic further and give a detailed description of the algorithms used for constructing such iterative extensions. Our new implementation combines several important ideas spread out in theoretical research papers. We apply the resulting algorithms to the classical orthogonal polynomials and build sparse high-dimensional quadrature rules for each class.
dc.language.iso
en
dc.publisher
Seminar für Angewandte Mathematik, ETH
dc.title
Exhaustive search for higher-order Kronrod-Patterson Extensions
dc.type
Report
ethz.journal.title
Research Report
ethz.journal.volume
2015-11
ethz.size
77 p.
ethz.notes
.
ethz.publication.place
Zürich
ethz.publication.status
published
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
ethz.identifier.url
http://www.sam.math.ethz.ch/sam_reports/reports_final/reports2015/2015-11.pdf
ethz.date.deposited
2017-06-11T23:32:33Z
ethz.source
ECIT
ethz.identifier.importid
imp59365403e374092737
ethz.ecitpid
pub:172745
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-12T20:12:17Z
ethz.rosetta.lastUpdated
2018-11-02T21:50:41Z
ethz.rosetta.versionExported
true
ethz.COinS
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