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Volume 24, Issue 3
Calculation of Nambu Mechanics

Shuang-Hu Wang

J. Comp. Math., 24 (2006), pp. 444-450.

Published online: 2006-06

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  • Abstract

In this paper, a fundamental fact that Nambu mechanics is source free was proved. Based on this property, and via the idea of prolongation, finite dimensional Nambu system was prolonged to difference jet bundle. Structure preserving numerical methods of Nambu equations were established. Numerical experiments were presented at last to demonstrate advantages of the structure preserving schemes.

  • Keywords

Nambu equations, Differential forms, Difference schemes, Structure preserving methods.

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COPYRIGHT: © Global Science Press

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@Article{JCM-24-444, author = {Shuang-Hu Wang}, title = {Calculation of Nambu Mechanics}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {3}, pages = {444--450}, abstract = {

In this paper, a fundamental fact that Nambu mechanics is source free was proved. Based on this property, and via the idea of prolongation, finite dimensional Nambu system was prolonged to difference jet bundle. Structure preserving numerical methods of Nambu equations were established. Numerical experiments were presented at last to demonstrate advantages of the structure preserving schemes.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8765.html} }
TY - JOUR T1 - Calculation of Nambu Mechanics AU - Shuang-Hu Wang JO - Journal of Computational Mathematics VL - 3 SP - 444 EP - 450 PY - 2006 DA - 2006/06 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8765.html KW - Nambu equations, Differential forms, Difference schemes, Structure preserving methods. AB -

In this paper, a fundamental fact that Nambu mechanics is source free was proved. Based on this property, and via the idea of prolongation, finite dimensional Nambu system was prolonged to difference jet bundle. Structure preserving numerical methods of Nambu equations were established. Numerical experiments were presented at last to demonstrate advantages of the structure preserving schemes.

Shuang-Hu Wang. (2006). Calculation of Nambu Mechanics. Journal of Computational Mathematics. 24 (3). 444-450. doi:
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