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 - <p style="text-align: justify;">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.</p>