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限制性哈密顿系统中局部坐标的选取对数值计算的影响

The Importance of Choice of Local Coordinates for Constrained Hamiltonian System
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摘要 本文研究了求解限制性哈密顿系统的局部坐标方法,并证明了不同的局部坐标具有等价性。但坐标的等价性不能导致数值计算的等效性,通过具体的案例我们发现数值计算的精确度与局部坐标的选取有很大的关系。 The paper studies the local coordinates methods of the constrained Hamihonian system and proves that different local coordinates are of equivalence. However, the equivalence fails to result in that of numerical calculation. Based on several specific cases, we can find the accuracy of numerical calculation is closely related to the choice of the local coordinates.
出处 《晋城职业技术学院学报》 2014年第3期66-68,共3页 Journal of Jincheng Institute of Technology
关键词 局部坐标法 限制不变性 限制性哈密顿系统 local coordinates method constraint-invariant constrained Hamihonian system
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参考文献4

  • 1Zhang S.Y.,Deng Z.C.Geometric Tntegration Theory of Nonlinear Dynamical System and Its Application[M].Xi'an:Northwestern Polytechnical University Press,2005.
  • 2Feng K.and Qin M.Z.Symplectic Geometric Algorithms for Hamiltonian Systems[M].Hangzhou:Zhejiang Science and Technology Press,2003.
  • 3Hairer E.and Wanner G.Solving Ordinary Differential Equations Ⅱ[J].Springer-Verlag,1991.
  • 4Westenholz C.von.Differential Form in Mathematical Physics[J].North Holland,1981.

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