解析法

However, the solutions of the Cauchy problem of the nonlinear hyperbolic system generally develop singularities in finite time even if the initial data are small and smooth.For this reason, solutions must be found in the space of discontinuous functions. Therefore, one can not directly use the classical analytic techniques that predominate in the theory of partial differential equations of other types. Instead, we construct approximate solutions via the singular perturbation methods. By using the compactness of the approximate solutions, we can obtain the existence of the solutions of original system.

然而一般而言，即使是在初值很小且光滑的情况下，非线性双曲型守恒律的Cauchy问题的解在有限时间内也会出现奇异性，为此，我们必须在不连续函数空间中寻找上述问题的解，因此对这类问题的研究，我们也不可能直接利用在其它类型的偏微分方程中占主导地位的解析方法来解决问题，而是通过奇异扰动法构造近似解，由近似解的紧性得到原问题解的存在性。

The Gibbs phenomenon should be considered in interpreting the numerical curve of the transient solution with infinite integral derived by the method of separation of variables.

计算结果表明，在求解由分离变量法所得的无穷积分解析解的数值曲线时，吉布斯现象的存在具有普遍意义。

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

Finally, A class of inverse Riemann boundary value problem for bianalytic functions on the real axis is proposed.

先消去参变未知函数，再采用易于推广的矩阵形式记法，可把该问题转化为两个实轴上的解析函数Riemann边值问题。

In this work six new metal iodate s have been prepared by hydrothermal method at 170℃, and their crystal structures have been determined.

本文作者在170℃下用水热法制备了六种金属碘酸盐的单晶，并对它们的结构进行解析。

The value of a calculated case of pipe jacking in soft soils is compared to that of observations.

利用所建立的半解析单元法，就软土地层中顶管工程实例计算了施工所引起的土体位移。

The mathematical model of Continuous Annular Chromatgraphy , considering axial and annular dispersion, is established, and the analytical solution is obtained by Laplace integral transforms.

建立了考虑轴向扩散和圆周方向扩散的连续环状色谱分离过程的数学模型，并通过拉普拉斯变换法获得了解析解。

Third,a semi-numerical method that uses finite difference for time toreplace Laplace transform for time is presented.

第三，提出了分布参数系统的半数值解析方法，通过对时间导数项用配置法进行差分离散，避免了Laplace变换。

In theory, the one-dimensional nonlinear longitudinal wave equations are deduced and the approximate analytical solutions are received.

理论上利用摄动法推导了一维非线性纵波方程的近似解析解。

Integrate the load transfer principle and shearing displacement method to set up the load transfer equation between the pile of soil, using the discrete and fitting methods to solve the equation so as to educe the pile displacement of arbitrary section as well as the analytical solution. Comparing the results with the soil settlement solved by the Mair equation, the relative displacement can be gained.

1结合荷载传递原理和剪切位移法的思想建立隧道开挖作用下的桩土荷载传递方程，采用离散和拟合两种方法来对该一元二次非齐次微分方程进行求解，可分别得到桩身任意截面处的桩体位移以及桩身位移的解析解，并与基于Mair公式求得的地面下任意深度处的土体沉降进行比较，即可求出桩与桩侧土之间的相对位移。

The reasons of iron ions content overproof in grade Ⅱ desalting water system,such as variation water quality,contamination of regenerant , operation adjustment of pretreatment system and switching operation of bed were discussed.

对二级脱盐水系统中铁离子含量超标的原因，如来水水质发生波动、再生剂受到污染、预处理系统操作调整、床体运行切换等进行了论述。

You were hired to drum up new business, so go and do it.

公司雇你招徕新业务，你就做你的事好了。