| CHARACTERIZATIONS OF SYMMETRIC MULTISTEP RUNGE-KUTTA METHODS |
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| 作者姓名： | Ai-guoXiao Si-qingGan |
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| 作者单位： | [1]SchoolofMathematicsandComputationalScience,XiangtanUniversity,Xiangtan411105,China [2]SchoolofMathematicsSciencesandComputingTechnology,CentralSouthUniversity,Changsha410075,China |
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| 基金项目： | This work is supported by a project from NSF of Hunan Province(No.03JJY3004)，a project from Scientific Research Fund of Hunan Provincial Education Department(No.04A057)，a grant from NSF of China(No.10271100). |
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| 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.
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| 关 键 词： | 多步朗格-库塔法 对称性 广义拉格朗日乘子 转置矩阵 |
CHARACTERIZATIONS OF SYMMETRIC MULTISTEP RUNGE-KUTTA METHODS |
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| Ai-guoXiao Si-qingGan.CHARACTERIZATIONS OF SYMMETRIC MULTISTEP RUNGE-KUTTA METHODS[J].Journal of Computational Mathematics,2004,22(6):791-796. |
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| Authors: | Ai-guo Xiao School of Mathematics and Computational Science Xiangtan University Xiangtan China Si-qing Gan School of Mathematics Sciences and Computing Technology Central South University Changsha China |
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| Institution: | Ai-guo Xiao School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China,Si-qing Gan School of Mathematics Sciences and Computing Technology,Central South University,Changsha 410075,China |
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| Abstract: | Some characterizations for symmetric multistep Runge-Kutta(RK)methods are ob-
tained.Symmetric two-step RK methods with one and two-stages are presented.Numer-
ical 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. |
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| Keywords: | Multistep Runge-Kutta method Symmetry |
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