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Runge–Kutta Methods for Monotone Differential and Delay Equations

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KLOEDEN, Peter E., Johannes SCHROPP, 2003. Runge–Kutta Methods for Monotone Differential and Delay Equations. In: BIT - Numerical Mathematics. 43(3), pp. 571-586. ISSN 0006-3835. eISSN 1572-9125. Available under: doi: 10.1023/B:BITN.0000007059.99601.18

@article{Kloeden2003-09Runge-43197, title={Runge–Kutta Methods for Monotone Differential and Delay Equations}, year={2003}, doi={10.1023/B:BITN.0000007059.99601.18}, number={3}, volume={43}, issn={0006-3835}, journal={BIT - Numerical Mathematics}, pages={571--586}, author={Kloeden, Peter E. and Schropp, Johannes} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Schropp, Johannes</dc:contributor> <dcterms:abstract xml:lang="eng">Classes of Runge–Kutta methods preserving the monotonicity of ordinary and delay differential equations are identified. Essentially, the vector b and the matrix A from the Butcher tableau should be such that all components of b are positive and all components of the matrix B(r)A, where B(r) is the inverse of the matrix I+rA, are nonnegative for sufficiently small positive r. The latter is satisfied by all explicit, diagonally-implicit and fully implicit Runge–Kutta methods for which all of the components of the matrix A, except those that are zero by definition, are positive.</dcterms:abstract> <dcterms:issued>2003-09</dcterms:issued> <dspace:isPartOfCollection rdf:resource=""/> <dc:contributor>Kloeden, Peter E.</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Schropp, Johannes</dc:creator> <dcterms:available rdf:datatype="">2018-09-07T09:30:02Z</dcterms:available> <dc:creator>Kloeden, Peter E.</dc:creator> <dcterms:title>Runge–Kutta Methods for Monotone Differential and Delay Equations</dcterms:title> <dc:language>eng</dc:language> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:isPartOf rdf:resource=""/> <dc:date rdf:datatype="">2018-09-07T09:30:02Z</dc:date> <bibo:uri rdf:resource=""/> </rdf:Description> </rdf:RDF>

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