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Bokanowski, Olivier ; Falcone, Maurizio ; Ferretti, Roberto ; Grüne, Lars ; Kalise, Dante ; Zidani, Hasnaa:
Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations.
In: Discrete and Continuous Dynamical Systems.
Bd. 35
(2015)
Heft 9
.
- S. 4041-4070.
ISSN 1553-5231
DOI: https://doi.org/10.3934/dcds.2015.35.4041
Dies ist die aktuelle Version des Eintrags.
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| Projekttitel: |
Offizieller Projekttitel Projekt-ID Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO |
|---|---|
| Projektfinanzierung: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union |
Abstract
We present an abstract convergence result for the fixed point approximation of stationary Hamilton-Jacobi equations. The basic assumptions on the discrete operator are invariance with respect to the addition of constants, ε-monotonicity and consistency. The result can be applied to various high-order approximation schemes which are illustrated in the paper. Several applications to Hamilton-Jacobi equations and numerical tests are presented.
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Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations. (deposited 18 Apr 2015 21:00)
- Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations. (deposited 27 Apr 2015 13:31) [Aktuelle Anzeige]