数值方程

As the foundation of algebra, this course also offers indispensable preparation for subsequent core curriculum and sample curriculum such as differential equations, numerical calculation, functional analysis, probability theory and multivariate analysis, etc.

它不仅是代数学的基础，而且为微分方程，数值计算，泛函分析，概率论，多元分析等后继的基础课及选修课程提供了必要的

The application of Karhunen-Loeve expansion to simulating the soil parameters random field is researched;and the characteristics of the KL decomposition are analyzed;and the Galerkin finite element method is adopted to solve the integral equation numerically in the irregular region and for arbitrary covariance function and to simulate the anisotropic conductivity field.

研究了Karhunen-Loeve展开在土性参数随机场模拟中的应用，分析了KL展开的特点，针对不规则区域和任意类型协方差函数提出了积分方程的Galerkin数值解法，模拟了土壤渗透系数各向异性随机场。

An approximate solution can be derived by using Crammer\'s rule.Illustrative examples are given to show that the method in the present paper is simple and efficient.

采用微分的方法首先把两点边值问题转化为Fredholm积分方程，再应用本文的方法求解，通过数值例子展示了该方法的简单有效性。

Prepared by the cubic spline interpolation function, TSS method diagonal matrix equation function, interpolation function point value function.

C#编写的三次样条插值函数，TSS法求解对角矩阵方程函数，插值点函数值计算函数。

And then, the theory of curve evolution, how to solve the PDEs model based on level set method and its calculation methods are expatiated.

其次详细介绍了曲线演化理论、偏微分方程模型的水平集方法求解以及数值计算方法。

The pressure correction method is used to calculate the two-dimensional turbulent flow in general curvilinear coordinates.

按照进气箱对称面的形状，给出一种简化的二维进气箱几何模型，用微分方程法生成贴体的曲线网格，在任意曲线坐标系下采用压力修正法数值模拟了其内部二维湍流流动。

A numerical method, where the pressure is used as a primary dependent variable, is presented for the solution of the two-dimensional steady Navier-Stokes equation in general curvilinear coordinates.

本文采用了求解压力速度耦合的SIMPLE算法，以压力为主要求解变量对Navier-Stokes方程进行数值求解。

Based on the Navier-Stokes equations in conservative form derived with respect to nonorthogonal curvilinear coordinates and nonorthogonal velocity components, the numerical method for solving 3D viscous flow has been discussed.

本文基于非正交曲线坐标与相应的非正交速度分量下导得的守恒型N—S方程，讨论了求解三维粘性流动的数值方法，计算中显式时间推进算法与Baldwin—Lomax湍流模型被采用，应用本工作发展的程序，作为算例计算了一个沿径向非等截面环形叶栅的三维粘性流场，得到了诸如三维压力分布，总压损失分布以及十分清晰的二次流动图景等丰富的流场信息。

A two-dimensional Reynolds-averaged Navier-Stokes solver is applied to analyze the aerodynamic behavior of the ShockBoundary-Layer interaction of rocket with a booster. The K-ε turbulence model and a finite volume method in a unstructured body-fitted curvilinear coordinates have been used.

本文利用二维雷诺平均的Navier-Stokes方程，采用K-ε湍流模式，运用有限体积法，对大型运载火箭的助推器与芯级的激波边界层干扰进行了二维数值模拟。

In the numerical analysis, us-pw formation of dynamic consolidation equation and cyclic elasto-plastic constitutive model is used. Using updated Lagrangian method, large deformation of liquefied ground is considered.

在数值分析过程中，采用us-pw形式的动力固结方程和循环弹塑性本构关系，并引入更新的拉格朗日格式以适应土体液化后的大变形。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新