A flexible error estimate for the application of centre manifold theory
Article
Li, Zhenquan and Roberts, A. J.. 2007. "A flexible error estimate for the application of centre manifold theory." Global Journal of Pure and Applied Mathematics. 3 (3), pp. 241-249.
| Article Title | A flexible error estimate for the application of centre manifold theory |
|---|---|
| ERA Journal ID | 32290 |
| Article Category | Article |
| Authors | Li, Zhenquan (Author) and Roberts, A. J. (Author) |
| Journal Title | Global Journal of Pure and Applied Mathematics |
| Journal Citation | 3 (3), pp. 241-249 |
| Number of Pages | 9 |
| Year | 2007 |
| Place of Publication | New Delhi, India |
| ISSN | 0973-1768 |
| 0973-9750 | |
| Web Address (URL) | http://www.ripublication.com/gjpam.htm |
| Abstract | In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem 3 by Carr [4, 6]. Here we extend the theory to cover the case where the order of approximation in parameters and that in dynamical variables may be completely different. This allows, for example, the effective evaluation of low-dimensional dynamical models at finite parameter values. |
| Keywords | error; estimation theory; approximation theory; functional analysis; polynomials; centre manifold; error estimate |
| ANZSRC Field of Research 2020 | 490409. Ordinary differential equations, difference equations and dynamical systems |
| 401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) | |
| 490499. Pure mathematics not elsewhere classified | |
| Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
| Byline Affiliations | University of the South Pacific, Fiji |
| Department of Mathematics and Computing |
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