Ordinary Differential Equations, Differential Algebraic Equations and their use in Optimization
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| Type of Publication: | Contribution to a conference collection |
| Publication status: | Published |
| Author: | Schropp, Johannes |
| Year of publication: | 2013 |
| Conference: | International Conference on Differential Equations : Equadiff '99, Aug 1, 1999 - Aug 7, 1999, Berlin |
| Published in: | International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999; Band 2 / Bernold, Fiedler et al. (ed.). - Singapore : World Scientific, 2013. - pp. 928-933. - ISBN 978-981-02-4359-3 |
| DOI (citable link): | https://dx.doi.org/10.1142/9789812792617_0182 |
| Summary: |
An indirect approach to solving nonlinear smooth minimization problems is to integrate a differential algebraic equation (DAE) or an ordinary differential equation (ODE) appropriate to the underlying minimization problem. Here, local minima are computed as ω-limit sets of evolutions of these equivalent ODE’s or DAE’s. Discrete convergence theorems are then obtained by discretizing these ODE’s and DAE’s with appropriate numerical schemes.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
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SCHROPP, Johannes, 2013. Ordinary Differential Equations, Differential Algebraic Equations and their use in Optimization. International Conference on Differential Equations : Equadiff '99. Berlin, Aug 1, 1999 - Aug 7, 1999. In: BERNOLD, Fiedler, ed. and others. International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999; Band 2. Singapore:World Scientific, pp. 928-933. ISBN 978-981-02-4359-3. Available under: doi: 10.1142/9789812792617_0182
@inproceedings{Schropp2013-04-25Ordin-43284, title={Ordinary Differential Equations, Differential Algebraic Equations and their use in Optimization}, year={2013}, doi={10.1142/9789812792617_0182}, isbn={978-981-02-4359-3}, address={Singapore}, publisher={World Scientific}, booktitle={International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999; Band 2}, pages={928--933}, editor={Bernold, Fiedler}, author={Schropp, Johannes} }
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