Numerical Methods for Boundary Value Problems.

reportActive / Technical Report | Accession Number: ADA095959 | Open PDF

Abstract:

Collocation discretizations of two-point boundary value problems, including parameter dependent problems, are studied. Stability of certain discretizations is established, and their use for the computation of bifurcation diagrams, including the Hopf case, is investigated. Efficient reparameterizations for Hopf problems to allow computation around turning points are also given. Author

Author(s):
Reddien, G. W. ; Doedel, E. J.
Author Organization(s):
SOUTHERN METHODIST UNIV DALLAS TX DEPT OF MATHEMATICS
Descriptive Note:
Final rept. Jun 78-Dec 80,
Supplementary Note:
DOI: 10.21236/ADA095959
Pagination:
0005

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ARO-15673.4-M, ARO-17146.1-M
Contract/Grant Number(s):
DAAG29-80-C-0039, DAAG29-78-G-0126
Task Number(s):
05
Project Number(s):
1L161102BH57
Monitor Series:
15673.4-M, 17146.1-M
 Subject Terms
Joint Capability Areas:
JCA_1_Force Support; JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_5.3_Planning; JCA_1.2.3_Educating
Modernization Areas:
Autonomy
Communities of Interest:
Human Systems
Descriptor(s):
*BOUNDARY VALUE PROBLEMS, *NUMERICAL METHODS AND PROCEDURES, PARAMETERS, MESH, NONLINEAR DIFFERENTIAL EQUATIONS, NONLINEAR SYSTEMS, POLYNOMIALS, NONLINEAR ANALYSIS, ORTHOGONALITY
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
Bifurcation diagrams, Collocation
Report Date:
1981 Feb 17