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Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm (2505.06024v1)
Published 9 May 2025 in math.NA, cs.NA, and math.DG
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.
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