New directions for contact integrators
arXiv:2106.10657 · doi:10.1007/978-3-030-80209-7_24
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.
arXiv commentTo appear as Chapter 24 in GSI 2021, Springer LNCS 12829
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