中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2788-2791.doi: 10.1088/1009-1963/15/12/004

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Noether's theorem and one-step corrections method for holonomic system

陈向炜1, 尚 玫2   

  1. (1)Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China; (2)Faculty of Science, Beijing Institute of Technology,Beijing 100081, China
  • 收稿日期:2006-03-06 修回日期:2006-07-27 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China Grant Nos 10572021 and 10372053), and the Fundamental Research Foundation of Beijing Institute of Technology BIT-UBF-200507A4206).

Noether's theorem and one-step corrections method for holonomic system

Shang Mei(尚玫)a)† and Chen Xiang-Wei(陈向炜)b)   

  1. a Faculty of Science, Beijing Institute of Technology,Beijing 100081, China; b Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China
  • Received:2006-03-06 Revised:2006-07-27 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China Grant Nos 10572021 and 10372053), and the Fundamental Research Foundation of Beijing Institute of Technology BIT-UBF-200507A4206).

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摘要： In this paper, a new computational method for improving the accuracy of numerically computed solutions is introduced. The computational method is based on the one-step method and conserved quantities of holonomic systems are considered as kinematical constraints in this method.

关键词: conserved quantities, one-step method, holonomic system

Abstract: In this paper, a new computational method for improving the accuracy of numerically computed solutions is introduced. The computational method is based on the one-step method and conserved quantities of holonomic systems are considered as kinematical constraints in this method.

Key words: conserved quantities, one-step method, holonomic system

中图分类号:  (Computational methods in classical mechanics)

  • 45.10.-b
45.20.Jj (Lagrangian and Hamiltonian mechanics)