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.

翻译：接触集成体是几何数字办法组成的大家庭,可保证接触结构的养护。在这项工作中,我们审查了这些方法的变异和汉密尔顿两种版本的构造。我们通过侧重于最近对天体力学和宇宙学的研究所启发的模型,说明了在分散环境中几何集成的一些好处。