数值方法

Numerical simulations were done by ANSYS based on the finite element method,in which the functional is solved by Hamilton principle.

模拟软件采用ANSYS，数值计算基于有限元数值计算方法，并利用哈密顿原理求解泛函，在控制计算精度的基础上，得出了该电子光学系统的内部静电场分布和轴上电位分布，同时对静态条件下的电子轨迹进行了模拟计算。

To solve above problems, a new method has been created in this paper: to construct a Hermite polynomial approximation of the objective function by FE solution using the sensitivity idea.

因此，本文提出在进行若干次电磁场数值计算之后，利用目标函数值和目标函数对设计变量的灵敏度建立目标函数的计算方法。

In chapterⅣ, three problems in the velocity space are simulated numerically under the basic presumption that the distribution function is homogeneous in configuration space. The results of numerical simulations demonstrate that the conservation laws of momentum and energy are obeyed accurately.

第四章在"空间均匀分布"的前提下对三个速度空间中的问题作了数值模拟，数值模拟结果表明这种方法能够精确地保证动量及能量守恒。

The relation between the center of time gravity of the ultrashort pulse and the carrier phase was studied by using three kinds of pulses,named Gauss,Hyperbolic Secant and Lorentz pulses.The analytical expressions of the relation between them was deduced.

以Gauss、Hyperbolic Secant、Lorentz三种脉冲为例，利用理论推导和数值模拟的方法研究了载波相位对超短脉冲时间重心的影响，并给出了三种脉冲的时间重心与载波相位的解析表达式和数值模拟的图形。

Mainly in a method of the lattice vector quantifying coding and decoding, a new basic code book is selected out and directly or indirectly comprises all points whose value is less than or equal to 3 of any dimension in a RE point set, and points on a fourth grade hypersphere in the basic code book are all odd points so that part of nearest adjoint point values can be comprised in the basic code book only via corresponding odd number processing.

一种格矢量量化编解码的实现方法及装置，其主要是在格矢量量化编码方案中，选定新的基础码本，在该基础码本中直接或间接地包含了RE 8 点集中任意维的数值小于等于3的所有点，且该基础码本中的第4级超球面上的点全部为奇数点，以使得部分的最近邻点数值仅经过相应的奇数化处理便可以包含于基础码本中。

The authors make basic research for the numerical calculation of cooling waters flow in the engines, on the bases of research results obtained with numerical method of incompressible fluid.

本文在作者已完成的不可压缩流体三维流动数值模拟研究的基础上，对发动机冷却水三维流动的数值模拟方法进行了基础性研究。

The analytic expressions for the displacement components and stresses at any point of an infinite micropolar orthotropic elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orientation were obtained.

在无限大微极正交各向异性弹性介质上覆盖弹性介质的弹性半空间的任意点上，作用着任意方向倾斜的移动荷载，给出了位移分量和应力的解析表达式·假设倾斜荷载是法向荷载和切向荷载的线性组合·利用Fourier变换采用特征值方法，并利用数值技术反演了Fourier变换·给出了铝环氧树脂复合材料的数值结果图形

Based on forecasting model, five algorithms are presented, that is, 1 algorithm for free motion of the plant when the analytical solution is available, 2 numerical differentiation algorithm, 3 improved numerical differentiation algorithm, 4 sensitivity matrix algorithm and 5 reference integral curve method.

推导了具有预测模型的算法的形成过程，指出了这种算法的物理实质，给出了基于预测模型算法的五种具体算法：1、系统自由运动有解析解时的算法；2、数值微分算法；3、改进的数值微分算法；4、灵敏度矩阵算法；5、基准积分曲线方法。

By the theory of natural boundary reduction, the natural integral equation and the Poisson integral formula of the problem considered are obtained, and the numerical method of the natural integral equation is given.

通过自然边界归化，获得了该问题的自然积分方程和Poisson积分公式，给出了自然积分方程的数值解法，并通过数值例子以示本文方法的可行性与有效性。

The fact that the integral variable of the inverse transform appears in the denominator of integrand reduces resolution of the numeral integral and blocks the application of them.

为此构造了一种新型的连续小波变换，不论对积分变量如何剖分，任何一种数值积分方法都具有高分辨特性，且积分变量不出现在被积函数的分母上，进而给出了相应的数值解法。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。