数值的

The static fracture mechanics is used for analysis, in which the growth rule of crack is mainly taken into account by static equilibrium condition.

应用数值流形方法进行数值分析计算时，其前处理网格的剖分一直是比较复杂的问题。

The thecretical analysis is done for the problems of the integral initial values, the accumulated error and the excursive error induced by numerical integrals. It is found that these errors possess characteristics of lower frequencies and they can be treated as the low frequency noise.

针对积分初值、数值积分积累误差和数值积分引入的偏移误差进行了理论分析，得出此类误差均具有低频特性的性质，可作为信号低频噪声进行处理。

The formula requires not only the function value,but also the first derivative and second derivative value on node.

此类求积公式不但需要结点上的函数值，还需要结点上的一阶和二阶导数值。

Three-dimension turbulent flow in forebay of pumping station is numerically simulated with finite volume method and hybrid grid technique.

文摘：应用水平方向上是正交贴体坐标系、垂直方向上是笛卡尔坐标系的混合数值网络系统和三维紊流数值模拟的方法，模拟了泵站前池水流流态。

Different kinds of integrations have to be evaluated in boundary element methods. The nearly singular integral is the most difficult one of them. A self-adaptive Gauss integral method is proposed to divide the element into finer meshes under the specified conditions.

边界元法通常需要采用数值方法解决单元内的各种积分问题，而准奇异积分是各种积分中数值处理最为困难的部分。

Under the one-dimensional situation, it introduces mainly the Newton-Cotes formula, the Gaussian quadrature formula, the numerical integration rule of sharp oscillatory function, the numerical integration rule by the methods of sampling and so on.

在一维情形下，主要介绍了Newton-Cotes公式，Gauss型求积法则，急速振荡函数的数值积分法则，抽样法求数值积分的法则等。

Compared with traditional method by use of pure quantity, land suitability evaluation based on GIS may integrate the numeral calculation with graphical procession effectively, so as to raise the evaluation efficiency.

相对于传统的纯数值评价方法，基于GIS的土地适宜性评价方法将数值计算和图形处理有机地结合起来，具有简洁、直观、易操作和快速等特点。

Based on the study of a discrete chaotic system of numerical solution and graphical simulation, while for discrete time-delay chaotic system a numerical simulation procedure.

详细说明：摘要：基于研究了离散混沌系统的数值解法和图形仿真，同时针对离散时滞混沌系统给出了数值仿真的程序。

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 split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。