Talks and Poster Presentations (without Proceedings-Entry):
W. Auzinger, W. Herfort:
"A uniform quantitative stiff stability estimate for BDF schemes";
Talk: CDDE 2005 - Conference on Differential and Differential Equations,
Danzig (invited);
2005-08-24
- 2005-08-27.
English abstract:
The concepts of stability regions, A- and A(alpha)-stability - albeit referring to scalar models - turned out to be essential for the identification of implicit methods suitable for the integration of stiff ODEs. However, for multistep methods, knowledge of the stability region provides no information about the quantitative stability behavior of the scheme.
In this talk we fill this gap for the important class of Backward Differentiation Formulas (BDF). Quantitative stability bounds are derived which are uniformly valid in the stability region of the method. Our analysis is based on a study of the separation of the characteristic roots and a special similarity decomposition of the associated companion matrix.
Created from the Publication Database of the Vienna University of Technology.