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Locating three-dimensional roots by a bisection method

Authors :
Greene, John M
Source :
Journal of Computational Physics. 98
Publication Year :
1992
Publisher :
United States: NASA Center for Aerospace Information (CASI), 1992.

Abstract

Bisection methods, which depend on the existence of a criterion for determining whether a root exists within a given volume, may be useful in the evaluation of equation roots since the volume in which the root is known to be located can be steadily decreased. This criterion is presently furnished via topological degree theory, strictly for the case of 3D volumes; usefulness is demonstrated in the location of roots, and the classification of roots as either X- or O-points is discussed.

Subjects

Subjects :
Numerical Analysis

Details

Language :
English
ISSN :
00219991
Volume :
98
Database :
NASA Technical Reports
Journal :
Journal of Computational Physics
Notes :
NASW-4393
Publication Type :
Report
Accession number :
edsnas.19920042993
Document Type :
Report
Full Text :
https://doi.org/10.1016/0021-9991(92)90137-N