Geometric and numerical methods in optimal control I
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Optimal control of ODE's (video)
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Example: Goddard's problem ("fly high") (video)
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Refresher on Runge-Kutta methods (video)
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A "do it yourself" direct solver (video)
References
Geometric and numerical methods in optimal control II
Hager, W. W.; Hou, H.; Mohapatra, S.; Rao, A. V.; Wang, X.-S. Convergence rate for a Radau hp collocation method applied to constrained optimal control. Computational Optimization and Applications 74 (2019), 275-314
Hairer, E.; Lubich, C.; Wanner, G. Geometric Numerical Integration. Springer, 2006