Direct-prediction quasi-Newton methods in Hilbert space with applications to control problems
✍ Scribed by P. R. Turner; E. Huntley
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 590 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0022-3239
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📜 SIMILAR VOLUMES
## Abstract In this paper the application of the self‐scaling variable metric methods to optimal control problems is considered. The convergence of such methods in Hilbert space, both with and without line searches, is established for a wide class of convex functionals. The methods are then tested
The fourth-order ®nite difference method is combined with the vorticity±streamfunction formulation in generalized co-ordinates. Direct numerical simulations are performed for channel ¯ows with and without surface roughness at a Reynolds number of 10 4 . The present results are in good agreement with