Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm
Numerical Analysis
2025-05-12 v1 Numerical Analysis
Differential Geometry
Abstract
We study the discretization of (almost-)Dirac structures using the notion of retraction and discretization maps on manifolds. Additionally, we apply the proposed discretization techniques to obtain numerical integrators for port-Hamiltonian systems and we discuss how to merge the discretization procedure and the constraint algorithm associated to systems of implicit differential equations.
Keywords
Cite
@article{arxiv.2505.06024,
title = {Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm},
author = {María Barbero-Liñán and Juan Manuel López Medel and David Martín de Diego},
journal= {arXiv preprint arXiv:2505.06024},
year = {2025}
}
Comments
29 images, 3 figures