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VARIATIONAL INTEGRATORS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS

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摘要 WeanalyzethreeoneparameterfamiliesofapproximationsandshowthattheyaresympecticinLargrangiansenceandcanberelatedtosymplecticschemesinHamiltoniansensebydifferentsymplecticmapping.WealsogiveadirectgeneralizationofVeselovvariationalprinciplcforconstructionofschemeofhigherorderdifferentialequations.Atlast,wepresentnumericalexperiments.

DOI 5jo19znndv/2064784

作者 AajuanSun;MengzheoQin

机构地区不详

出处《计算数学：英文版》 2003年2期

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

分类 [理学][计算数学]

出版日期 2003年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

计算数学：英文版

计算数学：英文版

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相关关键词

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

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