查询词典 discretization error

The unique advantage of this halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle. Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily, with the computing efficiency improved.

这种保角变换的半解析数值方法的突出优点是：利用前期的保角变换解析处理将不规则的场域转化为规则的矩形域，从而避免了纯数值技术对复杂边界的离散化误差，降低了后期数值计算的算法复杂度，并提高了计算效率。

A new numerical method for the fractional integral that only stores parthistory data is presented,and its discretization error is estimated.

提出了一种只需要存储部分历史数据的分数积分的数值计算方法，并给出了误差估计。

Thedecision of whether further refinement of meshes is necessary is based on the estimateof the discretization error.

我们还将移动网格方法应用于静态问题，并在其中研究使用后验误差估计来构造控制函数的方法。

Due to discretization error of image points and inevitable location shifts embedded in feature extraction processes, the parameters of a line determined by two feature points must possess some uncertainties.

由于图像特征点的离散误差和特征点提取过程中的位移现象，使得由二图像点所确定的直线的参数随之产生某种不确定性。

There are a great many L-shape structures in modern designing, which induce stress concentration and singularity. The dependence of the discretization error on the mesh refinement of such structures of fillet and connection point is of particular evidence.

结构设计中广泛存在L-型结构往往导致应力集中和应力奇异性，有限元离散过程很大程度上影响了L-型结构角点附件的位移和应力数值解精度。

In this study, we find that there are two problems when applying the techniques of discretization to obtain an approximated probability density function of the project completion time in stochastic activity networks. Namely, first, there exists neither exact data structure nor systematic scheme for the computer programming when applying the techniques of discretization; and second, error may arise from assuming independency between sub-paths in the activity network.

本研究发现在运用文献中的散式计算技术，求算随机性专案完成时间的机分配函时，存在个问题：第一，文献中既未提供明确的资结构也没有系统化的架构，足以将其转为计算机程式；第二，因为文献中的散式计算技术，皆假设随机性专案网中的各条子径彼此独，而造成明显的误差。

Fourth precision solution can be derived from two grid sets solution with a second precision central difference scheme by Richardson extrapolation. It reduces the amount of calculation. Uncertainty is determined from the discretization error analysis. A finer grid calculation is made to validate the extrapolation scheme.

对于2阶精度中心差分格式的2套网格数值解，用Richardson外推法可以得到4阶精度的解，其工作量比直接求解4阶离散方程的工作量减少许多；对于计算中的数值不确定度，用该方法分析了离散误差，并用逐次加密网格的方法探讨了外推法的合理性。

The auxiliary technologies for hexahedral mesh generation are studied thoroughly in this article. The technologies mainly cover the parametric description of three-dimensional geometric solid boundary, the controlling of mesh precision by imposing maximum geometric discretization error, the topology analysis of mesh, the optimization of node labeling and the display of mesh with removed hidden lines.

对六面体网格生成的辅助技术进行了较深入的研究，其中主要讨论了三维空间几何实体边界的参数化描述、利用最大几何离散误差来控制网格的离散精度、在对网格的拓扑关系进行正确分析的基础上提出改进的节点编号优化算法以及快速的网格消影显示等技术。

For the diffractive optical element realizing beam shaping in the fractional Fourier transform domain,the transform matrix calculated by the discrete sampling points was compared with that calculated by the Fresnel integral,and the discretization error of the intensity distribution on the output plane was qualitatively obtained.

针对分数傅里叶变换衍射光学光束整形器件，比较了按离散点与按菲涅耳积分计算得到的变换矩阵间的差距，从中分析得出按离散点计算的变换矩阵引入的离散化误差与分数傅里叶变换系统参数的关系。

One position control system is introduced as the objective controlled by FOC. Based on Mittag-Leffler function, the fractional order control system with full memory length is adopted as evaluation criterion, and an approximation performance function of discretization methods is proposed. Analyzing the time domain error and approximation performance, the investigation to various discretization methods is carried out comparatively in detail.

引入一个位置控制系统作为分数阶控制对象，将Mittag-Leffler函数的全记忆长度分数阶控制系统作为评估基准，提出了一种离散算法的近似性能函数，通过时域误差分析以及近似性能分析，对比研究了分数阶微积分算子的数字实现方法。

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。