One- and Multistep Discretizations of Index 2 Differential Algebraic Systems and their use in Optimization

Schropp, Johannes

One- and Multistep Discretizations of Index 2 Differential Algebraic Systems and their use in Optimization

Dateien

preprint_148.pdfGröße: 274.52 KBDownloads: 183

Datum

2001

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

An approach to solve constrained minimization problems is to integrate a corresponding index 2 differential algebraic equation (DAE). Here corresponding means that the omega-limit sets of the DAE dynamics are local solutions of the minimization problem. In order to obtain an efficient optimization code we analyse the behavior of certain Runge-Kutta and linear multistep discretizations applied to these DAEs. It is shown that the discrete dynamics reproduces the geometric properties and the long time behavior of the continuous system correctly. Finally, we compare the DAE approach with a classical SQP-method.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

SCHROPP, Johannes, 2001. One- and Multistep Discretizations of Index 2 Differential Algebraic Systems and their use in Optimization

BibTex

@unpublished{Schropp2001Multi-688,
  year={2001},
  title={One- and Multistep Discretizations of Index 2 Differential Algebraic Systems and their use in Optimization},
  author={Schropp, Johannes}
}

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