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Locating three-dimensional roots by a bisection method
- 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 :
- Numerical Analysis
Subjects
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