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math.NA2022
High-order integrators for Lagrangian systems on homogeneous spaces via nonholonomic mechanics
Rodrigo T. Sato Martín de Almagro
In this paper, high-order numerical integrators on homogeneous spaces will be presented as an application of nonholonomic partitioned Runge-Kutta Munthe-Kaas (RKMK) methods on Lie…
math.NA2021
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…