1 citations · 1 across the 4 of their papers we have counts for
2 papers
math.NA2025★ 1 cited
Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction
María Barbero Liñán, Juan Carlos Marrero, David Martín de Diego
In this paper we use retraction and discretization maps (see [Barbero Liñán and Martín de Diego, 2022]) as a tool for deriving in a systematic way numerical integrators preserving…
math.DG2024
Mechanical Hamiltonization of unreduced -simple Chaplygin systems
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín de Diego
In this paper, we prove that the trajectories of unreduced -simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannian…