Numerical Integration of Differential Algebraic Systems

Researcher:  Prof.  K. Nipp

Date:  19. 12. 2005

Summary:

The dynamics of a differential algebraic system (DAE) takes place on a lower dimensional manifold in phase space. We investigate DAEs of index 1 an of index 2 and we show that the discrete dynamical system obtained when applying an appropriate numerical integration method to such a DAE also admits an (attractive) invariant manifold close to the manifold of the DAE.

Contacts:

Prof. K. Nipp

Seminar für Angewandte Mathematik

ETH-Zentrum, HG E13.2

CH-8092 Zürich

Tel.: +41-1-632 34 07

FAX: +41-1-632 16 87

EMail: nipp@math.ethz.ch