STABILITY REGIONS OF DISCRETE VARIABLE METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS,

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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.

Author(s):
Stetter, Hans J. ; Baron, Werner ; Sochatzy, Hildegarde
Author Organization(s):
TECHNISCHE HOCHSCHULE VIENNA (AUSTRIA) INSTITUT FUER NUMERISCHE MATHEMATIK
Pagination:
0033

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
Scientific-1, AFOSR-67-2329
Contract/Grant Number(s):
AF 61(052)-960
Task Number(s):
974901
Project Number(s):
AF-9749
Monitor Series:
67-2329
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*DIFFERENTIAL EQUATIONS, STABILITY), APPROXIMATION(MATHEMATICS), DIFFERENCE EQUATIONS, PERTURBATION THEORY, CONVERGENCE, ALGORITHMS, NUMERICAL METHODS AND PROCEDURES, ITERATIONS
Field(s)/Group(s):
Theoretical Mathematics
Report Date:
1967 Sep 15