Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910935076044800 |
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| author | Barbero-Liñán, María Medel, Juan Manuel López de Diego, David Martín |
| author_facet | Barbero-Liñán, María Medel, Juan Manuel López de Diego, David Martín |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_06024 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm Barbero-Liñán, María Medel, Juan Manuel López de Diego, David Martín Numerical Analysis Differential Geometry 65P10, 34A26, 34C40, 37J39, 53D17 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. |
| title | Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm |
| topic | Numerical Analysis Differential Geometry 65P10, 34A26, 34C40, 37J39, 53D17 |
| url | https://arxiv.org/abs/2505.06024 |