9 citations · 10 across the 2 of their papers we have counts for
3 papers
Symplectic integrators for second-order linear non-autonomous equations
Philipp Bader, Sergio Blanes, Fernando Casas +2
Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding…
Symplectic integrators for the matrix Hill's equation and its applications to engineering models
Philipp Bader, Sergio Blanes, Enrique Ponsoda +1
We consider the numerical integration of the matrix Hill's equation. Parametric resonances can appear and this property is of great interest in many different physical applications…
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…