The paper is focused on the geometric numerical integration of port-Hamiltonian problems, via discrete gradient θ-methods. The ability of this method to retain inherent dissipativity properties of the exact dynamics is considered, as well as the stability properties of the numerical scheme with respect to a test problem based on a controlled pendulum are treated. The analysis is also equipped by selected numerical experiments.
Discrete Gradient θ-Methods for Port-Hamiltonian Systems
D'Ambrosio R.
;Di Donato S.
2026-01-01
Abstract
The paper is focused on the geometric numerical integration of port-Hamiltonian problems, via discrete gradient θ-methods. The ability of this method to retain inherent dissipativity properties of the exact dynamics is considered, as well as the stability properties of the numerical scheme with respect to a test problem based on a controlled pendulum are treated. The analysis is also equipped by selected numerical experiments.File in questo prodotto:
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