一类半隐式辛Runge-Kutta方法的代数稳定性

On Algebraical Stability of a Kind of Semi implicit Symplectic Runge Kutta Methods

讨论了基于梯形公式的复合而导出的一类半隐式辛ＲｕｎｇｅＫｕｔａ方法的代数稳定性，证明了这类格式当２段２阶时是代数稳定的，而当３段３阶和４段４阶时不是代数稳定的．

The algebraically stability of a kind of semi implicit symplectic Runge Kutta methods based on the trapezoid formula is discussed. It is proved that this method is algebraically stable when it's order 2, 2 stages, and impossible algebraically stable when it's order 3,3 stages and order 4,4 stages.