数值算法

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

In the end, based on linear assumption, the simulation algorithm of the sine-scan vibration test was presented and the simulation was carried out on the updated modal of vibration generator.

最后，在线性假设的基础上给出了正弦扫描试验仿真的数值算法，并对修正后的模型进行了正弦扫描试验仿真研究。

Based on the theory of uniform transmission line and four-terminal net circuit, this paper presents a simulation model of ZPW-2000 jointless track circuit shunt current. A kind of numerical algorithm of shunt current is established with MATLAB.

运用均匀传输线和电路四端网理论，建立了ZPW-2000无绝缘轨道电路分路电流的计算模型，利用MATLAB软件实现了分路电流的数值算法。

The finite difference time-domain method is stable and easy to be used, but due to the fact that it approximates the space derivatives in Maxwells curlequations by central difference, FDTD usually requires more than 20 grids perwavelength to achieve acceptable accuracy. As a contrast, pseudospectraltime-domain method approximates the space derivatives by pseudospectralmethod, which guarantees the accuracy, theoretically requiting only 2 grids perwavelength.

传统的电磁场数值算法——时域有限差分法稳定而易于实现，但由于FDTD采用中心差分近似Maxwell旋度方程的微分，每个波长上需要取的网格数通常较多，而时域伪谱法采用伪谱法求微分，理论上每个波长只需要取两个网格便可以达到较高的精度。

In this paper, a novel numerical approach to calculate properties of the integrated optical waveguides is introduced.

本文采用了一种新颖的数值算法用来模拟计算光波导器件。

Several numerical algorithms are applied to model the generalized chebyshev filters and diplexers by domestic and foreign researchers based on full-wave analysis. Designers pay much attention to the mode matching method because of its features of high precision and fast simulation speed in passive component design.

国内外学者运用多种数值算法对其进行全波建模，以便快速精确设计广义切比雪夫滤波器和波导双工器，其中，基于严格场理论的模式匹配法因其精度高、运算速度快等优点而得到国内外研究工作者的高度重视。

The condensed form is based on only orthogonal transformations, which can be implemented in a numerically stable way. Hence, an advantage of this approach is that the algorithms is numerically reliable and implementable.

所使用的压缩型都是通过正交变换得来的，而且结果都可以由一个可靠的数值算法得出，这也正体现了此方法的优越性。

Based on the modeling theory of the equivalent probability density error model(marked as "Tepdem") and the numerical algorithm,this paper provides an approach on how to ascertain a point location with the highest coordinates precision between both of the adjacent characteristic points on a generic curve accurately by use of the theory of function extremum as well as the iterative algorithm,and it also provides the method on how to obtain the least width of "Tepdem" exactly,from which,the explanation of geom...

基于等概率密度误差模型建模原理和数值算法，运用函数极值理论和迭代方法来求解平面一般曲线上两相邻特征点间位置精度最高的点，以精确确定误差模型的最小带宽，从理论上给出等概率密度误差模型的几何特征，从而进一步完善矢量GIS的位置不确定性理论。通过实例计算与可视化分析，验证了理论推导的正确性。

A numerical ray-tracing algorithm is provided based on Fermat＇s principle.

并基于费马原理，提出了记录光路的光线追迹数值算法。

At first, we develop suitable numerical algorithms corresponding to the features of different forms of MHD equations.

首先，根据不同形式MHD方程组的特点，发展与之相适应的数值算法。

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。