Accession Number:

ADA237146

Title:

Computational Methods for Bifurcation Problems with Symmetries on the Manifold

Descriptive Note:

Technical rept.,

Corporate Author:

PITTSBURGH UNIV PA INST FOR COMPUTATIONAL MATHEMATICS AND APPLICATIONS

Personal Author(s):

Report Date:

1991-06-03

Pagination or Media Count:

22.0

Abstract:

This paper is about numerical methods for the determination of bifurcation points of certain steady state multi-parameter problems in the presence of symmetries. A principal tool is the fact that under general conditions the solution set forms a manifold in the space of all state and parameter variables. The reduced manifold with respect to some subsymmetry is introduced. Methods are presented for the local computation of the submanifold of bifurcation points of the same symmetry.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE