Publikation:

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

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2001

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Schropp, Johannes

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Konstanzer Schriften in Mathematik und Informatik

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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.

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510 Mathematik

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ISO 690SCHROPP, 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@unpublished{Schropp2001Behav-713,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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