On a Moving-Frame Algorithm and the Triangulation of Equilibrium Manifolds.

reportActive / Technical Report | Accession Number: ADA176179 | Open PDF

Abstract:

Earlier a new algorithm was developed for computing vertices of a simplicial triangulation of subsets of a p-dimensional manifold M defined as the solution of a parametrized nonlinear equation. The algorithm depends on a method for constructing a moving frame on these subsets of M. Here an overview of these two algorithms is given together with some numerical examples that illustrate their effectiveness. Author

Author(s):
Rheinboldt, Warner C.
Author Organization(s):
PITTSBURGH UNIV PA INST FOR COMPUTATIONAL MATHEMATICS AND APPLICATIONS
Descriptive Note:
Technical rept.,
Pagination:
0015

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ICMA-86-100
Contract/Grant Number(s):
N00014-80-C-9455, NSF-DCR83-09926
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
ALGORITHMS, PARAMETRIC ANALYSIS, EQUILIBRIUM(GENERAL), NONLINEAR SYSTEMS, FRAMES, EQUATIONS, TRIANGULATION
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
Manifolds (Mathematics), Moving Frame Algorithm, Bifurcation Theory
Report Date:
1986 Oct 01