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Structure preserving integrators for solving linear quadratic optimal control problems with applications to describe the flight of a quadrotor
Philipp Bader, Sergio Blanes, Enrique Ponsoda
We present structure preserving integrators for solving linear quadratic optimal control problems. This problem requires the numerical integration of matrix Riccati differential eq…
High precision Symplectic Integrators for the Solar System
Ariadna Farrés, Jacques Laskar, Sergio Blanes +3
Using a Newtonian model of the Solar System with all 8 planets, we perform extensive tests on various symplectic integrators of high orders, searching for the best splitting scheme…
New families of symplectic splitting methods for numerical integration in dynamical astronomy
Sergio Blanes, Fernando Casas, Ariadna Farres +3
We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interes…