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Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems

Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems

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Prüfsumme: MD5:912c1e02366215ff940e8e53b4ee23b7

SCHROPP, Johannes, 2001. Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems

@unpublished{Schropp2001Behav-713, title={Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems}, year={2001}, author={Schropp,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/123456789/713"> <dc:creator>Schropp, Johannes</dc:creator> <dcterms:abstract xml:lang="eng">We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's) near equilibria. We compare the geometric properties of the numerical and the exact solutions. It is shown that projected and half-explicit Runge-Kutta methods reproduce the qualitative features of the continuous system correctly. The proof combines scaling techniques for index 2 differential algebraic equations with some invariant manifold results of Schropp and classical results for discretized ordinary differential equations of Garay.</dcterms:abstract> <dc:format>application/pdf</dc:format> <dcterms:issued>2001</dcterms:issued> <dc:contributor>Schropp, Johannes</dc:contributor> <dc:language>eng</dc:language> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/713"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:36Z</dcterms:available> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:36Z</dc:date> <dcterms:title>Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems</dcterms:title> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dc:rights>deposit-license</dc:rights> </rdf:Description> </rdf:RDF>

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