TL;DR
This paper reviews contact integrators, a class of geometric numerical schemes that preserve contact structures, highlighting their advantages in dissipative models relevant to celestial mechanics and cosmology.
Contribution
It provides a comprehensive review of variational and Hamiltonian contact integrators and demonstrates their benefits in dissipative physical models.
Findings
Contact integrators preserve contact structures in numerical simulations.
Geometric integration offers advantages in dissipative systems.
Applications include celestial mechanics and cosmology models.
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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