Publikation: Ordinary Differential Equations, Differential Algebraic Equations and their use in Optimization
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2013
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BERNOLD, Fiedler, ed. and others. International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999; Band 2. Singapore: World Scientific, 2013, pp. 928-933. ISBN 978-981-02-4359-3. Available under: doi: 10.1142/9789812792617_0182
Zusammenfassung
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.
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Fachgebiet (DDC)
510 Mathematik
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International Conference on Differential Equations : Equadiff '99, 1. Aug. 1999 - 7. Aug. 1999, Berlin
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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, 1. Aug. 1999 - 7. Aug. 1999. In: BERNOLD, Fiedler, ed. and others. International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999; Band 2. Singapore: World Scientific, 2013, pp. 928-933. ISBN 978-981-02-4359-3. Available under: doi: 10.1142/9789812792617_0182BibTex
@inproceedings{Schropp2013-04-25Ordin-43284, year={2013}, doi={10.1142/9789812792617_0182}, title={Ordinary Differential Equations, Differential Algebraic Equations and their use in Optimization}, isbn={978-981-02-4359-3}, publisher={World Scientific}, address={Singapore}, 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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