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It is generally difficult to get analytical solutions of the stochastic differential equation's water quality model. What is more, as to the issue like the initial boundary result of a convection-dispersion equation, it is even more difficult to change the random factors into the uncertainty.

NSFEM法是把Neumann展开式引入以解决矩阵求逆的效率问题，如果对每一次随机抽样，只需形成刚度矩阵，进行前代、回代以及矩阵乘和矩阵加减，而无需矩阵分解，则可大大减少工作量。

Many large highspeed and long runout landslides could fly in the air at the short-range stage. It is necessary to consider the areodynamics effect and ground effect at the short-range stage of landslide where it starts to fly. However, it is difficult to solve the differential equation with analytical solutions.

许多大型高速远程滑坡在近程活动阶段呈现凌空飞行运动，其飞行过程必须考虑空气动力学效应和地面效应，但是直接求解高速滑体凌空飞行运动的偏微分方程是困难的。

In order to test and verify validity of analytical methods and codes, we solve the Poisson equations and the Helmholtz equations that have analytical solutions with complex geometry using spectral element methods.

作为验证分析方法的正确性和代码的有效性，本文使用谱元方法求解了有精确解的简单区域和复杂区域的 Poisson方程和 HellnholtZ方程。

With aid of techniques of analytical continuation and conformal mapping, exact solutions are obtained for three typical problems concerning Eshelby's inclusion. The three problems are1 interaction between an arbitrarily shaped Eshelby inclusion and a circular inhomogeneity in transversely isotropic piezoelectric medium; 2 interaction between an arbitraily shaped Eshelby inclusion and an interface in anisotropic piezoelectric medium, the interface in our investigation may be a perfect interface, or a frictionless slipping interface , or a compliant electrode layer is embedded along the full interface of the bimaterials; 3 interaction between an arbitraily shaped Eshelby inclusion and an elliptical hole in anisotropic piezoelectric medium.

通过采用解析延拓和共形映射技术，获得了压电复合材料中有关Eshelby夹杂三个典型问题的精确弹性解答，即横观各向同性压电介质中任意形状的Eshelby夹杂与圆柱异相夹杂间相互作用；一般各向异性压电介质中任意形状的Eshelby夹杂与双压电材料所形成界面的相互作用，我们所考虑的界面包括理想界面、滑动界面以及柔性金属电极层增强界面；一般各向异性压电介质中任意形状的Eshelby夹杂与椭圆孔洞的相互作用。

By means of Laplace transformation and its inverse transformation, analytical solutions are deduced for one-end-fixed pole, cantilever and uncompressible tube composed of VFD material.

本文还用Laplace变换及其逆变换，推导出了杆件、悬臂梁和不可压缩圆筒的理论解，并将其用于发动机药柱的响应分析。

By analyzing the problems met in the development of educational technology, solutions are proposed in this paper.

分析了电化教育在发展中遇到的问题，并提出了解决问题的方法。

Moreover compared with the Taylor series solution, the frequency shifts in our solutions appear in the expression of oscillations of all orders in both classical and quantum cases, so multiple-scale perturbation method is more suitable for solving the weak-coupling anharmonic oscillation than the Taylor series approach.

与Taylor级数解相比较，无论是在经典还是在量子解中频率移动都出现在各阶振动表达式中，所以多尺度微扰解是弱耦合非简谐振动的较好解法。

Liquids may be used as such or as accurately prepared solutions in appropriate anhydrous solvents.

液体样品也可以像这样操作或者精确的配制溶液至适当的无水溶剂中。

In terms of relevant relationship to equation of motion of the elastodynamics plane problem for an orthotropic anisotropic body, the universal representations of analytical solutions are obtained with the method of self-similar functions.

根据正交异性体弹性动力学平面问题运动方程的相应关系，采用自相似函数的方法可以获得解析解的一般表达式。

The anti-plane equation of motion for an orthotropic anisotropic body has several expressive manners, moreover the presentations of self-similar solutions are particularly simple.

正交异性体的反平面运动方程有几种表达方式，而以自相似解表达方式尤为简单。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。