at Google ScholarTitle data
Lempio, Frank ; Veliov, V. M.:
Discrete approximations of differential inclusions.
In:
Bayreuther Mathematische Schriften. -
Bayreuth
: Math. Inst. der Univ.
,
1998
. - pp. 149-232
. - (Bayreuther Mathematische Schriften
; 54
)
| Review: |
Abstract in another language
This paper is devoted to discretization methods for initial value problems for differential inclusions. Main emphasis is laid on set-valued analogues of Runge-Kutta methods.
The following questions are studied:
- Does every discrete trajectory approximate some exact solution, and with what accuracy?
- Is every exact solution approximated, and with what accuracy, by some discrete trajectory?
- What is the error between the discrete reachable set and the exact reachable set with respect to Hausdorff distance?
The material is presented as a survey, containing simultaneously a series of new results with complete proofs.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Keywords: | Differential inclusions; Runge-Kutta methods; Discrete approximations; Reachable sets; Set-valued numerical analysis |
| Subject classification: | Mathematics Subject Classification Code: 49M25 (34A60 49D25 65L05) |
| Institutions of the University: | 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) Faculties |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
| Date Deposited: | 24 Feb 2021 08:59 |
| Last Modified: | 08 Apr 2021 09:50 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/63357 |