| VARIATIONAL INTEGRATORS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS |
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| 引用本文： | AajuanSun MengzheoQin. VARIATIONAL INTEGRATORS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS[J]. 计算数学(英文版), 2003, 21(2): 135-144 |
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| 作者姓名： | AajuanSun MengzheoQin |
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| 作者单位： | [1]InstituteofMathematics,AcademyofMathematicsandSystemsSciences,ChinsesAcademyofSciences,Beijing100080,China [2]StateKeyLaboratoryofScientific/EngineeringComputing,InstituteofComputationalMathematicsandScientific/EngineeringComputing,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,P.O.Box2719,Beijing100080,China |
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| 基金项目： | Supported by the special founds for Major State Basic Reserch Project, G1999, 023800. |
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| 摘 要： | We analyze three one parameter families of approximations and show that they are sympectic in Largrangian sence and can be related to symplectic schemes in Hamiltonian sense by different symplectic mapping.We also give a direct generalization of Veselov variational principlc for construction of scheme of higher order differential equations.At last,we present numerical experiments.
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| 关 键 词： | 高阶微分方程 变分积分仪 Lagrangian指向 Hamiltonian指向 辛映射 Veselov变分原理 机械形式体系 |
VARIATIONAL INTEGRATORS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS |
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| Yajuan Sun. VARIATIONAL INTEGRATORS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS[J]. Journal of Computational Mathematics, 2003, 21(2): 135-144 |
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| Authors: | Yajuan Sun |
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| Abstract: | We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sence and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments. |
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| Keywords: | Variational integrator Symplectic mapping |
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