迭代法

The simulation of design has been conducted by matrix method combined with iterative method.

操作型模型分别以T_0、T_K、处理量F_0、出料浓度x_等不同控制变量为未知变量并采用矩阵法结合迭代法进行操作模拟计算；在操作模拟计算的基础上，建立了复杂多效蒸发系统操作优化模型，该模型以浓缩成本最小为优化目标，以T_K和F_0为决策变量，采用遗传算法结合矩阵法求解。

Brief the; of commonly used method that narrated research to sort solid coupling problem discussed iterative method of dry mode law, across and LS-DYNA finite yuan of software analysis law, the theoretical calculation that is problem of coupling drifting solid offerred new method and train of thought, the analysis of problem of convection solid coupling has fair referenced value.

简要叙述了探究流固耦合新问题的常用方法；讨论了干模态法、交叉迭代法以及LS-DYNA有限元软件分析法，为流固耦合新问题的理论计算提供了新的方法和思路，对流固耦合新问题的分析有一定的参考价值。

We analyse and compare the traditional timemarching method, the fixed point iteration method, Chan, Chan and Zhou proposed such an approach using the Newton method combined with continuation and the primal-dual method.

本文对传统的时间依赖方法，不动点迭代法，原始对偶方法，Zhou，Zhou和Chan提出的牛顿法与延拓法相结合的方法进行了比较分析。

In the computation of aerodynamic forces, the present work is based on the work of Morino et al., but the following aspects are improved:(1) In computing the steady transonic aerodynamic load, the steady transonic nonlinear integral equation is solved by relaxation-iteration method in this thesis, instead of solving the time dependent transonic nonlinear integral equation, so that the computing time is saved greatly;(2) The influence coeifficients represented by volume integral are transformed to surface integral by using the Gaussian Theorem, so the analytical form of these coeifficients can be obtained and this leads to be more convenient to analyse and compile computer program;(3) The shock capturing method is used in every time step in present work, no shock moving term is added in the integral equation, so that it is more convenient and simpler to treat.

在气动力计算方面，本文基于Morino等人的工作，作了如下几方面的改进：（1）在计算定常跨音速流场（作为非定常绕流计算的初场）时，本文采用松驰迭代法直接求解跨音速定常非线性积分方程，而不是采用时间相关法求解非定常非线性积分方程，这样大大节省了计算机时；（2）将以体积分形式出现的影响系数化为面积分，并获得解析公式，这样便于分析和编写程序；（3）对运动的激波，本文通过在每一个时间步长上采用激波捕捉法而得到，而不是在积分方程中附加激波运动项，因而处理起来简单方便得多。

The classic iterative ones need special characters of the coefficient matrix; CG has over linear convergence, but the coefficient matrix is positive definite; Krylov subspace ones can deal with non-symmetric linear systems, but sometimes it must face"collapse"problems.

经典迭代法的收敛需要由系数矩阵的一些特定性质来保证；共轭梯度法具有超线性收敛性，但是系数矩阵必须是正定矩阵；Krvlov子空间法可用于非对称矩阵问题，但可能出现崩溃现象。

Thirdly, phase retrieval by use of Gerchberg-Saxton algorithm based algorithm and phase retrieval by use of a Green's function under Neumann boundary conditions is applied to DGWFS.

第三章分别对基于Gesrchberg-Saxton法的迭代法和Neumann边界条件的Green函数法的波前恢复进行了计算机模拟，并给出了具体程序框图。

It is also the base of structure optimization.According to main object characteristics of structural dynamics design,structuraleigenveetor sensitivity computation is,first,be studied.A Neumann series expansionmethod is proposed in accordance with the modal method and is developed to agreewith the structure with rigid body modes.A rapid Neumann series expansion methodfor eigenvector sensitivity is formed;it may greatly improve the efficiency ofcomputing eigenvector derivation.

本文根据结构动力学设计的主要目标特性，首先进行了结构特征向量灵敏度分析研究：形成了计算特征向量灵敏度的Neumann级数展开法，并将其扩展到适用于具有刚体模态的结构特征向量灵敏度分析；研究出计算特征向量灵敏度的快速Neumann级数展开法，该方法大大提高了特征向量灵敏度分析的效率；建立了无需K-1运算的结构特征向量灵敏度分析的共轭梯度迭代法。

In this paper, we have deduced an iterative algorithm with relaxation parameter from the successive over relaxation method, which not only deduce the necessary of computation time and memory space but also is propitious to overcome the sensitivity of reconstructed images to incomplete noisy data.

从解大型线性方程组出发，由逐次超松弛法(Successive Over Relaxation， SOR)推导出一种带有松弛因子的迭代法。与 SOR 法相比，该算法不仅大大降低了对计算时间和内存空间的需要，而且有利于克服重建图像对不完全噪声数据的敏感性。

Mixed finite element equation with u〓-u〓-p variables has indefinitive coefficient matrix and therefore can not be solved using direct methods and traditional iterative methods.

基于〓变量的混合有限元法，系统方程的系数矩阵非正定，不能用直接法和传统的迭代法求解。

The iterativemethod and the method of averaging are combined with the method of coordi-nate transformation in this respect,and periodic and quasi-periodic solutionsof parametrically excited systems can be obtained rapidly and effectively.

这种方法将坐标变换法、迭代法及谐波平衡法相结合，可以有效迅速地求解周期参数激励系统的周期解和概周期解，并可以判断周期解的稳定性。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。