10 citations · 15 across the 8 of their papers we have counts for
4 papers · 1 filter
Discrete variational calculus for double-bracket dissipation
Anthony Bloch, Sebastián J. Ferraro, David Martín de Diego +1
Discrete variational methods show excellent performance in numerical simulations of mechanical systems. In this paper, we adapt discrete variational integrators for the case of mec…
Nonholonomic Newmark method
Alexandre Anahory Simões, Sebastián J. Ferraro, Juan Carlos Marrero +1
Using the nonholonomic exponential map, we generalize the well-known family of Newmark methods for nonholonomic systems. We give numerical examples including a test problem where t…
Parallel iterative methods for variational integration applied to navigation problems
Sebastián J. Ferraro, David Martín de Diego, Rodrigo T. Sato Martín de Almagro
Discrete variational methods have shown an excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative method for discr…
Geometric integrators for higher-order variational systems and their application to optimal control
Leonardo Colombo, Sebastián Ferraro, David Martín de Diego
Numerical methods that preserve geometric invariants of the system, such as energy, momentum or the symplectic form, are called geometric integrators. In this paper we present a me…