迭代计算

The 2D integral equations are computed by an integrated iteration algorithm of modified successive approximation method and Aitken acceleration technique.

采用改进型逐次逼近解法和Aitken加速技术相结合的迭代算法计算二维积分方程。

In this paper, two-point ray tracing is studied for three-dimensional arbitrary interface. from Fermat's principle, traveltime is expanded in the initial ray path according to one order Taylor's incompletion expansion. Then, the algorithm of total iterative ray tracing in three dimension is derived.

作者在文中对三维任意界面情况下的两点间射线追踪问题进行了研究，从Fermat原理出发，对射线路径上的旅行时，采用一阶Taylor不完全展开等办法，推出了三维情况下计算射线路径的整体迭代算法。

To compute the solution to the nonlinear equation of pressure in the Riemann problem for the pressure grdient equations, the Godunov scheme gives a reasonable approximate value for the exact solution. By using the Newton-Ruphson iteration method and some necessary computation, we get the inter-cell numerical flux directly.

为求压差方程黎曼问题中关于压力的非线性方程的解，Godunov格式给出一个合理的初始近似值，利用Newton迭代法和一些必要的计算得到格式中的数值流。

In the optimization iteration, the levelset function values of nodes are considered as design variables. To computedifferences normally, the Heaviside function is handled for smoothing, theregularized Heaviside function is selected to avoid the oscillation inhomogenizations method, and the results can converge smoothly.

在优化迭代过程中，节点上的Level Set函数值被看作是设计变量，并且为了便于微分计算能够正常进行，对Heaviside函数及其导函数做了光滑化处理，选取了一种正则化的Heaviside函数，避免了均匀化方法中出现的振荡现象，可以平稳地收敛到最终结果。

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。