Algebraic Stability of Multistep Runge-Kutta Methods  

Algebraic Stability of Multistep Runge-Kutta Methods

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作  者:Li Shoufu(Department of M athematics, Xiangtan University, Hunan, 411105, P.R.China) 

出  处:《Journal of Systems Engineering and Electronics》1995年第3期76-82,共7页系统工程与电子技术(英文版)

摘  要:A series of sufficient and necessary conditions for the algebraic stability of multistepRunge-Kutta methods is obtained, most of which can be regarded as extension of the relevant results available for Runge-Kutta methods, especially, for Radau Ⅰ A, Radau Ⅱ A and Gaussian Runge-Kutta methods.A series of sufficient and necessary conditions for the algebraic stability of multistepRunge-Kutta methods is obtained, most of which can be regarded as extension of the relevant results available for Runge-Kutta methods, especially, for Radau Ⅰ A, Radau Ⅱ A and Gaussian Runge-Kutta methods.

关 键 词:Algebraic stability Multistep Runge-Kutta methods 

分 类 号:N945[自然科学总论—系统科学]

 

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