## Title data

Baier, Robert ; Lempio, Frank:

**Approximating Reachable Sets by Extrapolation Methods.**

*In:* Laurent, Pierre-Jean ; Le Méhauteé, Alain ; Schumaker, Larry L.
(ed.):
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
. - pp. 9-18

ISBN 1-56881-039-3

Review: |

## Related URLs

## Abstract in another language

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: | Article in a book |
---|---|

Refereed: | Yes |

Keywords: | Aumann's integral; reachable set; extrapolation method |

Subject classification: | Mathematics Subject Classification Code: 34A60 (49M25 65D30 65L05 93B03) |

Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science 500 Science > 510 Mathematics |

Date Deposited: | 17 Feb 2021 09:09 |

Last Modified: | 05 May 2021 09:49 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63145 |