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Using the three most commonly used fast algorithm: nonlinear iterative method, Gauss elimination and a new method of solution of linear equations!

详细说明：采用三种最常用的快速算法：非线性迭代法，高斯消元法和一中全新的解法解线性方程组！

Based on the Saint-venant equations describing the channel flow movement, the nonlinear algebraic equations derived by the use of Preissmann weighted implicit four-point scheme are solved with the Netwon-Raphson method. A combined Gauss main-element elimination method with compress-storage technique is proposed. The relaxation iterative method for solving branch river networks is extended, which can turn the problem of any complex river networks into the problem of a series of single rivers. The coupling of hydraulic model with water quality model is built up. The combined model was applied to a large complicated river networks with numerical hydraulic structure which influenced by strong tide, storm and heave rain. Visualization of computational results is realized by means of MapInfo, which displays the computational results in fast, convenient and accurate way.

水力模型以描述河道洪水波运动的Saint-Venant方程组为基础，用Newton-Raphson方法直接求解按Preissmann加权四点格式进行离散所得的非线性代数方程组，提出了压缩存贮形式的Gauss列主元消去法并对数值解的收敛性进行了讨论；将支流流量的松弛迭代方法从树状河系推广到了环状河网，使任意复杂河网水力计算的问题都可化为一系列的单一河道的水力计算问题；建立了水力模型与水质模型的联接，初步应用于既有洪水、暴雨、强潮等综合影响，又存在多种水工建筑物及水力调度问题的大型复杂河网中的非恒定流水力、水质计算问题；利用MapInfo对计算结果的可视化进行了研究，有利于决策者快速、方便、准确地作出决策。

The paper taked 20 nodes isoparametric element as an example and put forward a kind of numerical method combined with the Newton iterative algorithm and Gauss integral algorithm to calculate equivalent loads of prestress in body element.

本文以20节点等参单元为例，提出一种运用高斯积分和牛顿迭代法的数值算法计算实体单元的预应力等代荷载，该方法能够适应各种复杂的预应力钢束形状，并适合计算机编程。

Gauss- Seidel iteration method is to function in the calculation of the first equation obtained after the first argument, it updates the independent variables into the second equation.

详细说明：高斯-赛德尔迭代计算方法是在计算第一个方程函数得到第一个自变量后，吧自变量更新进入第二个方程计算。

Among them, former polynomial expansion detection algorithm based on the classic conclusion ,Gauss－Seidel iterative method which will introduce the same time. Inverse matrix will eventually form into a Taylor series approximation.

其中，前一种算法立足多项式扩展检测的经典结论，同时将Gauss－Seidel迭代方法引入其中，最终将矩阵求逆转化为泰勒级数近似的形式。

And the equations are solved coupling iteratively whith PCG method for Laplace equation and Gauss—Seidel method for convective equation.So the distribution of piezometric tube waterhead and saturation can be obtained.And the seepace free surface will be captured automatically according to the distribution of saturation with the concept of VOF.

分别对饱和区的拉普拉斯方程采用预处理共轭梯度法、非饱和区的对流方程采用Gauss—Seidel方法进行耦合迭代求解，得到渗流场的测压管水头分布和饱和度分布，并引入VOF的概念，由饱和度的分布自动扑捉渗流自由面。

Iteration and scheduling for coupling tasks set in concurrent product development process is analyzed, and Gaussian elimination combined with Genetic Algorithms is used to realize intelligentized method of it.

对产品开发耦合任务组迭代和顺序规划进行了研究，把遗传算法基本原理与高斯消去算法相结合，实现了耦合任务组顺序规划的智能化。

The noise radiation of the gear case is estimated by a special method, in which, the impact of the vibration phase of each partial surface and the time of the sound wave from the surface to the position at which the noise is calculated are taken into account.

考虑到噪声辐射面各部分的振动相位和声波从它们传播到计算噪声点的时间互有区别，使用了在复数域迭加声波的辐射噪声计算方法。用这种方法计算了齿轮箱的辐射噪声分布。与已有的理论和试验结果进行了对比。

This paper will deduce a group of new equations from general gas flow equation and Colebrook-White friction factor expression.

将气体流动基本方程与Colebrook White 摩擦阻力公式相结合推导出新的公式，大大简化了气体流动基本方程原来需要多次试算、迭代的计算过程，并且推导过程未加任何假设。

For the previous nonsmooth equations model and fixed mesh method, a new nonsmooth damped Newton method is given based on the definition of the generalized derivative.

本文对不动点法的收敛性分析为迭代法的收敛提供了理论依据。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。