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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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ISO 690SCHROPP, 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_0182
BibTex
@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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