Accession Number : AD0659798

Title :   STABILITY REGIONS OF DISCRETE VARIABLE METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS,

Corporate Author : TECHNISCHE HOCHSCHULE VIENNA (AUSTRIA) INSTITUT FUER NUMERISCHE MATHEMATIK

Personal Author(s) : Stetter,Hans J. ; Baron,Werner ; Sochatzy,Hildegarde

Report Date : 15 SEP 1967

Pagination or Media Count : 33

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.

Descriptors :   (*DIFFERENTIAL EQUATIONS, STABILITY), APPROXIMATION(MATHEMATICS), DIFFERENCE EQUATIONS, PERTURBATION THEORY, CONVERGENCE, ALGORITHMS, NUMERICAL METHODS AND PROCEDURES, ITERATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE