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Chinese Physics, 2006, Vol. 15(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

Shang Mei(尚玫)a)† and Chen Xiang-Wei(陈向炜)b)
a Faculty of Science, Beijing Institute of Technology,Beijing 100081, China; b Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China
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.
Keywords:  conserved quantities      one-step method      holonomic system  
Received:  06 March 2006      Revised:  27 July 2006      Accepted manuscript online: 
PACS:  45.10.-b (Computational methods in classical mechanics)  
  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
Fund: 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).

Cite this article: 

Shang Mei(尚玫) and Chen Xiang-Wei(陈向炜) Noether's theorem and one-step corrections method for holonomic system 2006 Chinese Physics 15 2788

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