Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control

Author:

Bonnans J. Frédéric,Laurent-Varin Julien

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference14 articles.

1. Betts, J.T.: Survey of numerical methods for trajectory optimization. AIAA J. Guidance, Control and Dynamics 21, 193–207 (1998)

2. Betts, J.T.: Practical methods for optimal control using nonlinear programming. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2001

3. Bonnans, J.F., Launay, G.: Large scale direct optimal control applied to a re-entry problem. AIAA J. of Guidance, Control and Dynamics 21, 996–1000 (1998)

4. Bonnans, J.F., Laurent-Varin, J.: Computation of order conditions for symplectic partitioned runge-kutta schemes with application to optimal control. Rapport de recherche RR-5398, INRIA, 2004. http://www.inria.fr/rrrt/rr-5398.html

5. Butcher, J.C.: The numerical analysis of ordinary differential equations. A Wiley-Interscience Publication. John Wiley & Sons Ltd., Chichester, 2003

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