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Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations

Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations

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SCHROPP, Johannes, 2007. Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations

@unpublished{Schropp2007Invar-551, title={Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations}, year={2007}, author={Schropp, Johannes} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/551"> <dcterms:title>Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations</dcterms:title> <dcterms:issued>2007</dcterms:issued> <dc:format>application/pdf</dc:format> <dc:contributor>Schropp, Johannes</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:01Z</dc:date> <dc:creator>Schropp, Johannes</dc:creator> <dcterms:rights rdf:resource="https://creativecommons.org/licenses/by-sa/2.0/legalcode"/> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/551"/> <dc:rights>deposit-license</dc:rights> <dc:language>eng</dc:language> <dcterms:abstract xml:lang="eng">In the present paper we analyze the geometric properties of projected Runge-Kutta methods when applied to index 3 differential algebraic equations in Hessenberg form. These methods admit the integration of index 3 DAEs without any drift effects. We show that the phase portrait is well reproduced in its relationship between space and control variables.</dcterms:abstract> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:01Z</dcterms:available> </rdf:Description> </rdf:RDF>

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