Discrete Variational Methods and Symplectic Generalized Additive Runge--Kutta Methods

Antonella Zanna

We consider a Lagrangian system $L(q,\dot{q})={\sum }_{l=1}^N{L}^{\{l\}}(q,\dot{q})$, where the $q$-variable is treated by a Generalized Additive Runge--Kutta (GARK) method. Applying…