73 citations · 670 across the 56 of their papers we have counts for
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math.NA2018★ 2 cited
High-order geometric methods for nonholonomic mechanical systems
David Martín de Diego, Rodrigo T. Sato Martín de Almagro
In the last two decades, significant effort has been put in understanding and designing so-called structure-preserving numerical methods for the simulation of mechanical systems. G…
math.NA2018★ 2 cited
Lie-Poisson integrators
David Martin de Diego
In this paper, we discuss the geometric integration of hamiltonian systems on Poisson manifolds, in particular, in the case, when the Poisson structure is induced by a Lie algebra,…