CHARACTERIZATIONS OF SYMMETRIC MULTISTEP RUNGE-KUTTA METHODS  

作　　者：Ai-guoXiao Si-qingGan 

机构地区：[1]SchoolofMathematicsandComputationalScience,XiangtanUniversity,Xiangtan411105,China [2]SchoolofMathematicsSciencesandComputingTechnology,CentralSouthUniversity,Changsha410075,China

出　　处：《Journal of Computational Mathematics》2004年第6期791-796,共6页计算数学（英文）

摘　　要：Some characterizations for symmetric multistep Runge-Kutta(RK) methods are obtained. Symmetric two-step RK methods with one and two-stages are presented. Numerical examples show that symmetry of multistep RK methods alone is not sufficient for long time integration for reversible Hamiltonian systems. This is an important difference between one-step and multistep symmetric RK methods.

分 类 号：O151.21[理学—数学] O241.6[理学—基础数学]