Abstract
We present an estimate for the Hausdorff distance between the set of solutions of a differential inclusion and the set of solutions of its Euler discrete approximation, using an averaged modulus of continuity for multifunctions. A computational procedure to obtain a certain solution of the discretized inclusion is proposed.
| Original language | English |
|---|---|
| Pages (from-to) | 349-358 |
| Number of pages | 10 |
| Journal | Computing (Vienna/New York) |
| Volume | 41 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1989 |
| Externally published | Yes |
Keywords
- AMS Subject Classifications: 34A60, 49D25, 65L05
- Differential inclusions
- Euler scheme
- discrete approximations