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

Schropp, Johannes

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

Files

preprint_152.pdf(235.43 KB)

Date

2001

Authors

Schropp, Johannes

Series

Konstanzer Schriften in Mathematik und Informatik; 152

Publication type

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.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

SCHROPP, 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@unpublished{Schropp2001Attra-579,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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