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.
Received: 06 March 2006
Revised: 27 July 2006
Accepted manuscript online:
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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