@Article{JCM-26-657, author = {}, title = {Conjugate-Symplecticity of Linear Multistep Methods}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {5}, pages = {657--659}, abstract = {

For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterizes linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The boundedness of parasitic solution components is not addressed.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8649.html} }