Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations

Schropp, Johannes

Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations

Dateien

preprint_226.pdfGröße: 464.33 KBDownloads: 120

Datum

2007

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

In the present paper we analyze the geometric properties of projected Runge-Kutta methods when applied to index 3 differential algebraic equations in Hessenberg form. These methods admit the integration of index 3 DAEs without any drift effects. We show that the phase portrait is well reproduced in its relationship between space and control variables.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Differential-Algebraische Gleichungen, Runge-Kutta Verfahren, invariante Mannigfaltigkeiten, differential algebraic equations, projected Runge-Kutta methods, invariant manifolds

Zitieren

ISO 690

SCHROPP, Johannes, 2007. Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations

BibTex

@unpublished{Schropp2007Invar-551,
  year={2007},
  title={Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations},
  author={Schropp, Johannes}
}

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Universitätsbibliographie

Ja