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A variety of non-Newtonian models have been applied in the numerical studies. Among them, the Casson equation was widely used.

为此，已有研究采用各种非牛顿流体模型模拟血液的本构关系，其中Casson方程是较为常用的本构模型。

The numerical simution results show that there is slug flow in the plunger-cylinder of the annulus pipe,because of the existence of Casson yield stress.

数值研究结果表明，由于Casson屈服应力的作用，轴向同心环空内存在柱塞流动，柱塞的大小与Casson屈服应力成正比，与压力梯度成反比。

Seeing that many researchers devoted themselves to the study of catenary method in recent years. Based on the standard curve of the catenary, the catenary algorithm of two-end-fixed cableway was studied in this paper, which established state coordinate equation and which used the numerical value method to analyze non-linear equations under the condition offeree equilibrium and condition of deformation compatibility.

为此，近年来不少学者致力于单跨架空索道悬链线理论的研究，本文在此基础上，从索道悬链线的标准线形出发，通过建立状态协调方程，来研究架空索道的悬链线精确算法，计算上采用满足力平衡和变形相容条件为基础的数值分析方法来求解非线性方程组。

A The basic solution of the elastic line inclusion plane problem is deduced, then it is used to establish the Cauchy -type singular integral equations of one or two inclusions, and numerical method is set up, so the above problem is solved.

导出了弹性线夹杂平面问题的基本解，然后用此建立了线夹杂及其相互作用的柯西型奇异积分方程，并为其建立了数值法，从而使线夹杂平面问题获得解决。

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

Then the boundary element integral equation of interior and exterior form is deduced in detail, also the form with corner coefficient. The significance for numerical calculation and principle of the singular integral is analyzed, and a non-isoparametric transformation method is presented to calculate weak singular integral and Cauchy integral, the method presented provides us a very simple way to computer the two kinds of singular integral of Helmholtz boundary integral equation, and it is easy to program in computer. After the difficulty of the calculation for multi-frequency of Helmholtz boundary element is explained, a method named SECHIEF (Series Expansion Combined Helmholtz Integral Equation Formulation), which is focused on the computational efficiency, is presented.

对结构声辐射的边界积分方程的内部形式与外部形式进行了详细的推导，给出了角点系数的计算方法与边界积分方程的形式，在此基础上，分析了奇异积分产生的原理及其对数值计算的重要性，提出了一种计算奇异积分的非等参(来源：Ae8a8BC论文网www.abclunwen.com)单元的变换方法，该方法给Helmholtz 声学边界积分方程中的弱奇异积分与Cauchy 奇异积分的计算以及编程提供了极大便利。

Numerical experiments are carried out to examine the computation accuracy and convergence speed of the method for the free-term coefficient and Cauchy principal value integration.

对截断圆柱上的波浪作用力与解析解做了对比，发现本方法具有很高的计算精度，随网格的加密迅速收敛于解析解。

Numerical experiments are made to examine how the boundary Cauchy data affect the inverted process.

我们并具以数种数值的实验来观察柯西资料是如何影响到反算的量。

Based on investigation on domestic lead industry, these causative factors are estimated in terms of actual numerical values.

在中国铅业调研的基础上，估算了近年来这些影响因素的实际数值。

But the cost is very expensive. We must study the numerical simulation of salt cavern development.

所以我们必须对溶腔的扩展采取数值模拟的方法。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。