@Article{JCM-11-250, author = {}, title = {Construction of High Order Symplectic Runge-Kutta Methods}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {3}, pages = {250--260}, abstract = {

Characterizations of symmetric and symplectic Runge-Kutta methods, which are based on the W-transformation of Hairer and Wanner, are presented. Using these characterizations we construct two classes of high order symplectic (symmetric and algebraically stable or algebraically stable) Runge-Kutta methods. They include and extend known classes of high order implicit Runge-Kutta methods.    

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9324.html} }