STABILITY REGIONS OF DISCRETE VARIABLE METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS,
Abstract
The idea of strong stability is the following: The effect of a perturbation in the finite-difference equation should not be worse than the effect of a corresponding perturbation in the differential equation to be solved numerically. For a given discretization scheme, a one-parameter family of regions in the complex domain is defined which permits to test for a given system of differential equations and a given stepsize whether strong stability prevails or not. Furthermore the shapes and sizes of the regions permit a comparison between the stability properties of various schemes. In the present report, a particular effort has been made to investigate the influences of the various alternatives in the algorithmic execution of a predictor-corrector method. The results are displayed in a large number of plots.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 15, 1967
- Accession Number
- AD0659798
Entities
People
- Hans J. Stetter
- Hildegarde Sochatzy
- Werner Baron