迭代法

The PSE in the curve coordinate systems are solved by the numerical techniques developed efficiently in this paper. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. The finite-difference of governing equations with fourth-order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations.

对于曲线坐标系下的抛物化稳定性方程，文中发展了求解的高效数值方法：引进法向变换，使得在临界层与壁面之间的扰动量变化最快的区域有更多的法向网格点；导出包含边界邻域在内的完全四阶精度的法向有限差分格式，这对方程精确离散至关重要；采用全局法和局部法相结合的方法及其新的迭代公式，大大加速收敛并得到更精确的特征值。

In this method,without depending upon small parameter,a trial function with possible unknowns is used as initial approximation,then a correction functional is constructed by means of a general Lagrange multiplier ,which can be identified via variational theory.

本文提出了一种求解非线性方程的迭代算法，它不依赖于小参数，是先给方程一个带待定函数的试函数作为初始近似解，然后用拉氏乘子法构造一个迭代公式。

Global convergence strategy is combined to gauss-newton method that performs the virtue of insensitiveness to initial guess in iteration algorism, when applied to nonlinear least square estimation in target location, the algorism can approach the precise guess by iterations with the noise-polluted initial guess.

将全局收敛策略与牛顿法相结合，得到了对初值不敏感的迭代算法。将该算法应用于非线性最小二乘目标定位中，在初值受测量误差影响而估计不准的情况下，可以通过迭代得到精度更高的解。

This dissertation firstly introduces the principles of four kinds of simple gridding methods, which are"Linear interpolation based on triangulation","Inverse distance weighted and averaged method","Modified Shepard's method"and"Multiquardirc method". Secondly, it researches the Ordinary Kriging method for geophysical irregular data, which mainly includes the base knowledge of region change and variogram and the principle of Ordinary Kriging method. Thirdly, it researches the Inverse Interpolation for geophysical irregular data, which mainly includes the principle of inverse interpolation and its iterative algorithm, and the principle of Inverse Interpolation to realize the gridding of geophysical data. Finally, it uses these gridding methods to grid theoretical model data of potential field and raw aeromagnetic data, and compares and analyzes the gridding results.

本文首先简单介绍了地球物理不规则分布数据的四种简单网格化方法(即基于三角网的线性插值法、反距离加权平均法、改进的Shepard方法和多元二次函数法)的方法原理；接着，重点研究了地球物理不规则分布数据网格化的普通克里金法，主要研究了区域变化量、变差函数的基础知识和普通克里金法的方法原理；之后，重点研究了地球物理不规则分布数据网格化的反插值法，主要研究了反插值法的方法原理和迭代求解算法，以及反插值法实现地球物理数据网格化的原理；最后，应用这些方法对理论位场模型和实际航磁数据进行了试验、对比和分析。

In the program the Newton-Raphson's method is used to iterative computation; and the method of either the cylinder-arc-length or the minimum residual displacement is adopted to control the iterative process.

在分析非线性静力和动力有限元计算方法的基础上，本文采用修正的Newton-Raphson方法进行迭代计算，并采用柱面弧长法和最小残余位移法控制迭代过程，编制了一个适合于杆件体系结构的有限元分析程序，结构可以按桁架、刚架或梁杆组合体系分析。

Based on decomposition-coordination model of an electric power system, the general augmented Lagrange method and auxiliary problem principle are adopted to form iterative distributed transfer capability computation framework, in which the influence on the internal system exposed by external system is considered through exchanging the information of boundary nodes.

该方法通过分解－协调模型实现互联电网的解耦，采用增广拉格朗日法和辅助问题原理实现输电能力按地理分区，形成一个迭代形式的分布式输电能力计算框架，迭代中通过交换边界节点信息将互联外网信息反映到各分区的计算中，各地的子网络计算相对独立。

Simulation results show that ordinal check with degressive iterative number is optimal, which can effectively decrease the complexity and acquisition time.

仿真结果表明顺次迭代且迭代次数递减的校验方法最优，该方法能够在不损失检测概率的情况下降低Gold码捕获的复杂度，同时降低其捕获时间。

According to the above analysis, present a subsection ransacking method and it can avoid possible error.

根据上述的分析，提出了分段遍寻迭代搜索法，此方法避免了迭代过程中可能出现的错误。

So the convergence properties of the subspace trust region methods are as strong as those of its full-space version.

在算法的迭代过程中加入内点法的思想，要求每一步产生的迭代点位于可行域的严格内部。

Based on the improved Atiken iterative method and dimidiate method, a new algorithm of searching zero of derivative function is given, the simulation results show that if using the new algorithm to find the zero of derivative function, the convergence speed is faster than the improved Atiken iterative method .

采用二分法预报、改进的Aitken迭代校正的方法，构造了一种求导数零点的一种新算法。新算法在迭代过程中不用计算导数，且二阶收敛。数值试验表明，该算法具有较高的精度和较大的初值选择范

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。