Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems

Schropp, Johannes

Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems

Dateien

preprint_147.pdfGröße: 228.23 KBDownloads: 80

Datum

2001

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's) near equilibria. We compare the geometric properties of the numerical and the exact solutions. It is shown that projected and half-explicit Runge-Kutta methods reproduce the qualitative features of the continuous system correctly. The proof combines scaling techniques for index 2 differential algebraic equations with some invariant manifold results of Schropp and classical results for discretized ordinary differential equations of Garay.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

SCHROPP, Johannes, 2001. Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems

BibTex

@unpublished{Schropp2001Behav-713,
  year={2001},
  title={Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems},
  author={Schropp, Johannes}
}

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