## Attracting sets in index 2 Differential Algebraic Equations and in their Runge-Kutta Discretizations

2001
##### Series
Konstanzer Schriften in Mathematik und Informatik; 152
Preprint
##### Abstract
We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's) in the vicinity of attracting sets. We compare the geometric properties of the numerical and the exact solutions and show that projected and half-explicit Runge-Kutta methods reproduce the qualitative features of the continuous system correctly. The proof combines invariant manifold results of Schropp and classical results for discretized ordinary differential equations of Kloeden, Lorenz.
510 Mathematics
##### Cite This
ISO 690SCHROPP, Johannes, 2001. Attracting sets in index 2 Differential Algebraic Equations and in their Runge-Kutta Discretizations
BibTex
@unpublished{Schropp2001Attra-579,
year={2001},
title={Attracting sets in index 2 Differential Algebraic Equations and in their Runge-Kutta Discretizations},
author={Schropp, Johannes}
}

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Yes