二级对角隐式辛 Runge-Kutta-Nystrm 方法的稳定性

Stability of Two-Stage Diagonally Implicit Symplectis Runge-Kutta-Nystro ¨m Methods

对二级对角隐式辛Ｒｕｎｇｅ－Ｋｕｔｔａ－Ｎｙｓｔｒｏ¨ｍ方法的稳定性作了详尽的讨论，构造出了Ｐ－稳定的二级二阶对角隐式辛Ｒｕｎｇｅ－Ｋｕｔａ－Ｎｙｓｔｒｏ¨ｍ方法族．

The stability of two-stage diagonally imphicit symplectis Runge-Kutta-Nystro ¨m methods are investigated in this paper. We construct a one-parameter family of two-stage second-order P- stable diagoually implicit symplectis Runge-Kutta-Nystro ¨m methods