Authors

Raffaele D’Ambrosio, Simone Di Donato

Abstract

The paper is focused on the geometric numerical integration of port-Hamiltonian problems, via discrete gradient \( \)\theta \( \) 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.

Keywords

discrete gradient method, geometric numerical integration, port-hamiltonian problems

Citation

  • ISBN: 9783031975882
  • Publisher: Springer Nature Switzerland
  • DOI: 10.1007/978-3-031-97589-9_16
  • Note: International Conference on Computational Science and Its Applications

BibTeX

@inbook{D_Ambrosio_2025,
  title={{Discrete Gradient $$\theta $$-Methods for Port-Hamiltonian Systems}},
  ISBN={9783031975899},
  ISSN={1611-3349},
  DOI={10.1007/978-3-031-97589-9_16},
  booktitle={{Computational Science and Its Applications – ICCSA 2025 Workshops}},
  publisher={Springer Nature Switzerland},
  author={D’Ambrosio, Raffaele and Di Donato, Simone},
  year={2025},
  pages={225--236}
}

Download the bib file

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