4 papers
On Runge-Kutta convolution quadrature based fractional variational integrators
Khaled Hariz Belgacem, Sina Ober-BlÃbaum, Fernando JimÃnez
Lagrangian systems subject to fractional damping can be incorporated into a variational framework by doubling the state variables and introducing fractional derivatives. Fractional…
On Runge-Kutta convolution quadrature based fractional variational integrators
Khaled Hariz, Sina Ober-Blöbaum, Fernando Jimenez
Lagrangian systems subject to fractional damping can be incorporated into a variational formalism. The construction can be made by doubling the state variables and introducing frac…
Variational multirate integrators
Sina Ober-Blöbaum, Theresa Wenger, Tobias Gail +1
The simulation of systems that act on multiple time scales is challenging. A stable integration of the fast dynamics requires a highly accurate approximation whereas for the simula…
Symplectic Methods in Deep Learning
Sofya Maslovskaya, Sina Ober-Blöbaum
Deep learning is widely used in tasks including image recognition and generation, in learning dynamical systems from data and many more. It is important to construct learning archi…