New Directions for Contact Integrators

Alessandro Bravetti, Marcello Seri*, Federico Zadra

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-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 languageEnglish
Title of host publicationInternational Conference on Geometric Science of Information
Subtitle of host publicationProceedings
EditorsFrank Nielsen, Frédéric Barbaresco
Place of PublicationCham
PublisherSpringer
Pages209-218
Number of pages10
ISBN (Electronic)978-3-030-80209-7
ISBN (Print)978-3-030-80208-0
DOIs
Publication statusPublished - 20-Jun-2021
EventGeometric Science of Information5th International Conference: GSI 2021 - Paris, France
Duration: 21-Jul-202123-Jul-2021

Publication series

Name Lecture Notes in Computer Science
PublisherSpringer
Volume12829

Conference

ConferenceGeometric Science of Information5th International Conference
Country/TerritoryFrance
CityParis
Period21/07/202123/07/2021

Keywords

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

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