2 papers
math.NA2025
Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm
MarÃa Barbero-Liñán, Juan Manuel López Medel, David MartÃn de Diego
We study the discretization of (almost-)Dirac structures using the notion of retraction and discretization maps on manifolds. Additionally, we apply the proposed discretization tec…
math.NA2024
From retraction maps to symplectic-momentum numerical integrators
MarÃa Barbero-Liñán, Juan Carlos Marrero, David MartÃn 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…