1) Lie group method
李群算法
1.
We apply Lie group method and Cayley transformation to construct high order explicit square conserving scheme for the modulus conserving differential equations, such as the Euler equation, the Landau-Lifshitz equation and compare the numerical results with the classical Runge-Kutta method in modulus conserving and accuracy.
我们利用李群算法和Cayley变换构造了高阶显式平方守恒格式,应用到模守恒的微分方程如Euler方程,Landau-Lifshitz方程,并且与相同阶的显式Runge-Kutta方法在保模守恒和精度方面进行了比较,数值结果表明用李群算法构造的新的显式平方守恒格式能保微分方程模守恒的特性且它和相应Runge-Kutta方法有相同的精度。
2) Lie group
李群
1.
An analytical approach to one-dimensional finite strain non-linear consolidation by Lie group transformation;
李群变换求解一维非线性有限变形固结问题(英文)
2.
Application of Lie group method in unicycle attitute and motion control;
李群平均方法在单轮姿态和运动控制中的应用
3.
Maximal Torus Subgroup of Connected Compact Lie groups;
紧致连通李群的极大环面子群
3) Lie groups
李群
1.
By using standard ideas from Lie groups and Lie algebra, the recursive formulation and the Lagrangian formulation were presented.
采用李群和李代数的方法来描述牛顿—欧拉方程和拉格朗日方程,得到机器人动力学在关节空间和操作空间内单个连杆的递推公式以及整个系统动力学方程的矩阵表达式。
2.
We also prove that those systems are not integrable in the sense of Lie Groups.
研究了几个多项式自治系统在复域上过其极限环积分流形的复杂的几何结构,得到了在积分流形碰到无穷远奇点后黎曼曲面的4种变化趋向,并且从李群角度上证明了这些系统具有不可积性。
3.
Based on the interation between particles of quantum system and the possible geometric control to be applied,a mathematical model of two spin 1/2 particle system with interaction is built,whose variables are varying in the Lie groups of SU(4).
在充分考虑量子系统中粒子之间的相互作用以及可能需要的几何控制的基础上,建立了一个变量在李群的SU(4)上变化的、两个具有相互作用的自旋1/2粒子系统的数学模型。
4) A-Lie group
A-李群
5) Lie group method
李群方法
1.
A kind of Runge-Kutta/Munthe-Kaas(RKMK) method being a Lie group method is presented to solve the non-damping Landau-Lifshitz equation.
文章给出一类求解无阻尼Landau-Lifshitz方程的Runge-Kutta/Munthe-Kaas方法,属于李群方法,它能保证所得的数值解在系统精确解所在的微分流形上迭代。
2.
Especially,occurrence of Lie group methods associated with wants of the dynamics,it can be used to discretion of the equations in spaces of curvature,and it cann t have the drift off the manifold of solution.
特别是所谓的的李群方法是在动力学问题的需求下诞生的,它能在弯曲的空间中进行离散化,根本不会出现‘违约问题’。
6) Lie Group transformation
李群变换
1.
Based on the assumptions of semi logarithmic relationship between coefficient of permeability and void ratio as well as the relationship between effective stress and void ratio of soil, the method of Lie Group Transformation is applied to solve the non linear partial differential equation of large strain consolidation of homogeneous saturated clay in semi infinite domain.
基于有效应力与孔隙比以及渗透参数与孔隙比之间的关系的一些假定 ,采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程 ,得到了一个不考虑自重固结的完全解析解。
参考词条
补充资料：过李群玉故居
【诗文】：
讦直上书难遇主，衔冤下世未成翁。
琴尊剑鹤谁将去，惟锁山斋一树风。
【注释】：
【出处】：
全唐诗：卷653-20
讦直上书难遇主，衔冤下世未成翁。
琴尊剑鹤谁将去，惟锁山斋一树风。
【注释】：
【出处】：
全唐诗：卷653-20
说明：补充资料仅用于学习参考，请勿用于其它任何用途。