New Directions for Contact Integrators

Alessandro Bravetti; Marcello Seri; Federico Zadra

doi:10.1007/978-3-030-80209-7_24

New Directions for Contact Integrators

Alessandro Bravetti, Marcello Seri^*, Federico Zadra

^*Corresponding author for this work

Dynamical Systems, Geometry and Mathematical Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

Contact integrators are a family of geometric numerical schemes which guarantee the conservation of the contact structure. In this work we review the construction of both the variational and Hamiltonian versions of these methods. We illustrate some of the advantages of geometric integration in the dissipative setting by focusing on models inspired by recent studies in celestial mechanics and cosmology.

Original language	English
Title of host publication	International Conference on Geometric Science of Information
Subtitle of host publication	Proceedings
Editors	Frank Nielsen, Frédéric Barbaresco
Place of Publication	Cham
Publisher	Springer
Pages	209-218
Number of pages	10
ISBN (Electronic)	978-3-030-80209-7
ISBN (Print)	978-3-030-80208-0
DOIs	https://doi.org/10.1007/978-3-030-80209-7_24
Publication status	Published - 20-Jun-2021
Event	Geometric Science of Information5th International Conference: GSI 2021 - Paris, France Duration: 21-Jul-2021 → 23-Jul-2021

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	12829

Conference

Conference	Geometric Science of Information5th International Conference
Country/Territory	France
City	Paris
Period	21/07/2021 → 23/07/2021

Keywords

math.NA
cs.NA
34A26, 34C15, 65P10

Access to Document

10.1007/978-3-030-80209-7_24

New Directions for Contact IntegratorsFinal publisher's version, 49.1 MBLicence: Taverne

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Cite this

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title = "New Directions for Contact Integrators",

abstract = "Contact integrators are a family of geometric numerical schemes which guarantee the conservation of the contact structure. In this work we review the construction of both the variational and Hamiltonian versions of these methods. We illustrate some of the advantages of geometric integration in the dissipative setting by focusing on models inspired by recent studies in celestial mechanics and cosmology.",

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author = "Alessandro Bravetti and Marcello Seri and Federico Zadra",

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editor = "Frank Nielsen and Fr{\'e}d{\'e}ric Barbaresco",

booktitle = "International Conference on Geometric Science of Information",

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Bravetti, A, Seri, M & Zadra, F 2021, New Directions for Contact Integrators. in F Nielsen & F Barbaresco (eds), International Conference on Geometric Science of Information: Proceedings. Lecture Notes in Computer Science, vol. 12829, Springer, Cham, pp. 209-218, Geometric Science of Information5th International Conference, Paris, France, 21/07/2021. https://doi.org/10.1007/978-3-030-80209-7_24

New Directions for Contact Integrators. / Bravetti, Alessandro; Seri, Marcello ; Zadra, Federico.
International Conference on Geometric Science of Information: Proceedings. ed. / Frank Nielsen; Frédéric Barbaresco. Cham: Springer, 2021. p. 209-218 ( Lecture Notes in Computer Science; Vol. 12829).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - Contact integrators are a family of geometric numerical schemes which guarantee the conservation of the contact structure. In this work we review the construction of both the variational and Hamiltonian versions of these methods. We illustrate some of the advantages of geometric integration in the dissipative setting by focusing on models inspired by recent studies in celestial mechanics and cosmology.

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