Geometric Properties of Runge-Kutta Discretizations for Nonautonomous Index 2 Differential Algebraic Systems
| dc.contributor.author | Schropp, Johannes | |
| dc.date.accessioned | 2011-03-22T17:45:41Z | deu |
| dc.date.available | 2011-03-22T17:45:41Z | deu |
| dc.date.issued | 2001 | deu |
| dc.description.abstract | We analyze Runge-Kutta discretizations applied to nonautonomous index 2 differential algebraic equations (DAE's) in semi-explicit form. It is shown that for half-explicit and projected Runge-Kutta methods there is an attractive invariant manifold for the discrete system which is close to the invariant manifold of the DAE. The proof combines reduction techniques to autonomous index 2 differential algebraic equations with some invariant manifold results of Schropp. The results support the favourable behavior of these Runge-Kutta methods applied to index 2 DAE's for t >= 0. | eng |
| dc.description.version | published | |
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| dc.identifier.ppn | 260863459 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/742 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2007 | deu |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik und Informatik | |
| dc.rights | terms-of-use | deu |
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| dc.subject.ddc | 510 | deu |
| dc.title | Geometric Properties of Runge-Kutta Discretizations for Nonautonomous Index 2 Differential Algebraic Systems | eng |
| dc.type | PREPRINT | deu |
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| kops.bibliographicInfo.seriesNumber | 149 | deu |
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year={2001},
title={Geometric Properties of Runge-Kutta Discretizations for Nonautonomous Index 2 Differential Algebraic Systems},
author={Schropp, Johannes}
} | |
| kops.citation.iso690 | SCHROPP, Johannes, 2001. Geometric Properties of Runge-Kutta Discretizations for Nonautonomous Index 2 Differential Algebraic Systems | deu |
| kops.citation.iso690 | SCHROPP, Johannes, 2001. Geometric Properties of Runge-Kutta Discretizations for Nonautonomous Index 2 Differential Algebraic Systems | eng |
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