in the repository
URN to cite this document: urn:nbn:de:bvb:703-epub-5434-7
Title data
Baier, Robert ; Lempio, Frank:
Approximating Reachable Sets by Extrapolation Methods.
Bayreuth
,
1994
![[thumbnail of baier_lempio_chamonix_1994.pdf]](https://epub.uni-bayreuth.de/style/images/fileicons/application_pdf.png) |
|
||||||||
|
Download (154kB)
|
Abstract
Order of convergence results with respect to Hausdorff distance are summarized for the numerical approximation of Aumann's integral by an extrapolation method which is the set-valued analogue of Romberg's method. This method is applied to the discrete approximation of reachable sets of linear differential inclusions. For a broad class of linear control problems, it yields at least second order of convergence, for problems with additional implicit smoothness properties even higher orders of convergence.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Additional notes (visible to public): | erschienen In:
Laurent, Pierre-Jean ; Le Méhauteé, Alain ; Schumaker, Larry L. (Hrsg.): Curves and Surfaces in Geometric Design : Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993. - Wellesley, Mass. : Peters , 1994 . - S. 9-18 |
| Keywords: | Aumann's integral; reachable set; extrapolation method |
| DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-5434-7 |
| Date Deposited: | 05 May 2021 09:47 |
| Last Modified: | 05 May 2021 09:48 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/5434 |
Download Statistics