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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.NA2024
From retraction maps to symplectic-momentum numerical integrators
María Barbero-Liñán, Juan Carlos Marrero, David Martín de Diego
Retraction maps have been generalized to discretization maps in (Barbero Liñán and and Mart\'ın de Diego, 2022). Discretization maps are used to systematically derive numerical int…