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

Mei Shang; Xiang Wei Chen

doi:10.1088/1009-1963/15/12/004

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

Mei Shang^*
, Xiang Wei Chen

^*Corresponding author for this work

School of Aerospace Engineering

Shangqiu Normal University

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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.

Original language	English
Article number	004
Pages (from-to)	2788-2791
Number of pages	4
Journal	Chinese Physics
Volume	15
Issue number	12
DOIs	https://doi.org/10.1088/1009-1963/15/12/004
Publication status	Published - 1 Dec 2006

Keywords

Conserved quantities
Holonomic system
One-step method

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10.1088/1009-1963/15/12/004

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title = "Noether's theorem and one-step corrections method for 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.",

keywords = "Conserved quantities, Holonomic system, One-step method",

author = "Mei Shang and Chen, \{Xiang Wei\}",

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AU - Shang, Mei

AU - Chen, Xiang Wei

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N2 - 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.

AB - 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.

KW - Conserved quantities

KW - Holonomic system

KW - One-step method

UR - https://www.scopus.com/pages/publications/33846092042

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JO - Chinese Physics

JF - Chinese Physics

IS - 12

M1 - 004

ER -

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

Abstract

Keywords

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