Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können am Montag, 6.2. und Dienstag, 7.2. keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted on Monday, Feb. 6 and Tuesday, Feb. 7.)
Type of Publication: | Journal article |
Publication status: | Published |
Author: | Kloeden, Peter E.; Schropp, Johannes |
Year of publication: | 2003 |
Published in: | IMA Journal of Numerical Analysis ; 23 (2003), 2. - pp. 221-239. - ISSN 0272-4979. - eISSN 1464-3642 |
DOI (citable link): | https://dx.doi.org/10.1093/imanum/23.2.221 |
Summary: |
The long‐time behaviour of Runge–Kunge discretizations is investigated when applied to a smooth nonautonomous index 2 differential algebraic equation (DAE) with a cocycle structure, i.e. a DAE driven by an autonomous dynamical system, which is assumed to have a uniform attractor. It is shown that the cocycle structure of the continuous dynamics is preserved under discretization and that a uniform forward or pullback attractor of the DAE persists under discretization by a Runge–Kutta scheme with the component subsets of the numerical attractor converging upper semicontinuously to their continuous time counterparts.
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Subject (DDC): | 510 Mathematics |
Bibliography of Konstanz: | Yes |
Refereed: | Yes |
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KLOEDEN, Peter E., Johannes SCHROPP, 2003. Uniform attractors of nonautonomous index 2 differential algebraic equations under discretization. In: IMA Journal of Numerical Analysis. 23(2), pp. 221-239. ISSN 0272-4979. eISSN 1464-3642. Available under: doi: 10.1093/imanum/23.2.221
@article{Kloeden2003-04-01Unifo-43195, title={Uniform attractors of nonautonomous index 2 differential algebraic equations under discretization}, year={2003}, doi={10.1093/imanum/23.2.221}, number={2}, volume={23}, issn={0272-4979}, journal={IMA Journal of Numerical Analysis}, pages={221--239}, author={Kloeden, Peter E. and Schropp, Johannes} }
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