有高手介绍一下 牛顿 拉格朗日 和汉米尔顿体系吗

2015james

刚看了纪念冯康老师那篇论文，对这些不太理解，有人能大概介绍一下吗，我对辛几何很感兴趣

caoer

it is dynamics, or much more relevant to the time integrator.
The average FEM is built on the Lagrangian system, and the most multibody dynamics or molecular dynamics refers to the Hamotonian system. Both systems could be converted by Legradure Transformation at the point of energy. There are more and more algorithms developed with both systems, such as the energy conservation time solver for the nonlinear FEM.   
For the Euler system, I just simply believe it is a very basic physical system like we learnt in high school, correct me if it is wrong.

caoer

by the way, don't mix it up with the coordinates space definitions.