Runge-Kutta方法的G-正交性  

G-ORTHOGONALITY OF RUNGE-KUTTA METHODS

作　　者：肖爱国[1] 李寿佛[1] 符鸿源[2] 陈光南[2] 

机构地区：[1]湘潭大学数学系,湘潭411105 [2]北京应用物理与计算数学研究所计算物理实验室,北京100088

出　　处：《高等学校计算数学学报》1999年第1期16-20,共5页Numerical Mathematics A Journal of Chinese Universities

摘　　要：In this paper, G-orthogonality of Runge-Kutta methods applied to the initial value problems of G-orthogonal ordinary differential matrix equations is examined. A sufficient and necessary condition is given to make the methods preserve Gorthogonality possessed by the sloved problems. Several classes of linearly implicit Runge-Kutta methods with G-orthogonality are presented.In this paper, G-orthogonality of Runge-Kutta methods applied to the initial value problems of G-orthogonal ordinary differential matrix equations is examined. A sufficient and necessary condition is given to make the methods preserve Gorthogonality possessed by the sloved problems. Several classes of linearly implicit Runge-Kutta methods with G-orthogonality are presented.

关 键 词：RUNGE-KUTTA法 G正交性 常微分方程 初值问题 

分 类 号：O241.81[理学—计算数学]