1) Lie series algorithm
李级数法
1.
Lie series algorithms and Runge-Kutta algorithms;
李级数法与Runge-Kutta法
2) Lie series
李级数
1.
In this article,we introduce the idea of using Lie series to give an approximation of the optimal tra- jectory of a nonlinear optimal control problem by a discrete process.
利用李级数离散控制系统,逼近最优轨道,并利用H-J-B方程的粘性逼近估计值函数。
2.
By expanding the power series solution of differential equations and using the semiqroups theory of Linear Operators, we studied the integration method of nonlinear dynamic equations and obtained the so-called Lie series method, whose concrete implementation was discussed.
分别从推广的微分方程幂级数解的理论和线性算子半群理论等不同的角度研究了非线性动力学方程的求解问题,得到了所谓的李级数解法。
3.
Firstly, Lie series method to solve general nonlinear dynamic.
首先,提出了求解一般动力学方程的李级数方法,并给出具体实施办法,它是泰勒展开方法的一个推广。
3) Lie algebra method
李代数方法
1.
By using symmetric group with which the tetraatomic molecules satisfy, we construct the algebraic Hamiltonian that not only includes Majorana operator M 12 but also M 13 and M 23 which are very useful for getting potential energy surface and force constants in Lie algebra method.
近几年来 ,人们用李代数方法处理了许多问题 [1～ 5] ,在此基础上 ,我们利用动力学李代数方法研究了准线型四原子分子高激发振动态 ,把分子的 Hamiltonian展开成 Casimir算子与 Majorana算子之和[6,7] ,然后进行代数处理 ,从而得到了代数 Hamiltonian的本征值 。
4) power series method
幂级数法
1.
The prediction of the PIM amplitude and power by using the power series method;
幂级数法对无源交调幅度和功率的预测
2.
The natural frequencies and critical flow velocities of Timoshenko pipe are calculated by power series method.
用幂级数法计算了Ｔｉｍ ｏｓｈｅｎｋｏ 管道的固有频率和临界流速。
3.
Based on the Hamilton s principle for elastic systems of changing mass, a differential equation of motion for viscoelastic curved pipes conveying fluid was derived using variational method, and the complex characteristic equation for the viscoelastic circular pipe conveying fluid was obtained by normalized power series method.
根据变质量弹性系统Hamilton原理,用变分法建立了输流粘弹性曲管的运动微分方程,并用归一化幂级数法导出了输流粘弹性曲管的复特征方程组· 以两端固支Kelvin_Voigt模型粘弹性输流圆管为例,分析了无量纲延滞时间和质量比对输流管道无量纲复频率和无量纲流速之间的变化关系的影响· 在无量纲延滞时间较大时,粘弹性输流圆管的特点是它的第1、2、3阶模态不再耦合,而是在第1、第2阶上先发散失稳,然后在1阶模态上再发生单一模态颤振·
5) three-series solution
三级数法
1.
The three-series solution is taken up to the nonlinear differential equation of the galloping movement caused by the cross wind force acting on a high-rise structure, thus giving a reduced 3D expression in terms of steady-state response and critical wind speed.
应用三级数法求解横风向的弛振的非线性运动微分方程,得到了三维结构的简明的稳态响应和临界风速表达式。
6) Taylor series method
Taylor级数法
1.
An implicit Taylor series method for simulation of power system transient;
基于隐式Taylor级数法的电力系统暂态稳定计算
2.
Based on the fast higher order Taylor series method for transient stability simulation and combined with the trapezoidal rule of implicit integration, an implicit Taylor series method for transient stability simulation is received.
文中提出了一种可调谐的隐式Taylor级数法,并针对其数值精度做进一步改进,得到了全可调谐的隐式Taylor 级数法。
3.
Since the higher-order Taylor series method was introduced for power system stability, the research of transient stability simulation using the Taylor series method was never interrupted.
自高阶Taylor级数法引入暂态稳定计算以来,对基于Taylor级数法的暂态稳定快速仿真算法的研究工作一直没有中断。
补充资料：李法
1.上古关于征伐刑戮之事的书。李，通"理"。 2.泛指法律。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条