@Article{JCM-16-1, author = {Kang Feng}, title = {Contact Algorithms for Contact Dynamical Systems}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {1}, pages = {1--14}, abstract = {
In this paper, we develop a general way to construct contact algorithms for contact dynamical systems. Such an algorithm requires the corresponding step-transition map preserve the contact structure of the underlying contact phase space. The constructions are based on the correspondence between the contact geometry of ${\bf R}^{2n+1}$ and the conic symplectic one of ${\bf R}^{2n+2}$ and therefore, the algorithms are derived naturally from the symplectic algorithms of Hamiltonian systems.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9137.html} }