差分法

Derive recursive least squares method, recursive general least squares method, recursive augmented matrix method, recursive multiple-stage least squares method and recursive maximum likelihood method based on recursive Householder transformation by applying the three real-time solutions of overdetermined linear equation to difference model.

将线性矛盾方程组的三种实时解法应用于差分模型，导出了基于Househol-der变换的递推最小二乘法、递推广义最小二乘法、递推增广矩阵法、递推多级最小二乘法和递推极大似然法。

This thesis consists of two parts. The first one was that boundary value problem was discrete with five point difference method. Three kinds of memory formats were studied, which were full matrix, half band width and row compress sparse. Full matrix memory format and half band width memory format first was contrasted. The results show that half band width has efficiency in space. Then the algebraic system of finite element method was solved by Gauss-Seidel iteration method to popular row compress sparse memory format.

本论文由两部分组成，第1部分针对边值问题，用5点差分格式进行离散，并对离散矩阵这类大型稀疏矩阵，研究了系数矩阵的3种存储格式的优劣，即：满矩阵存储格式、半带宽存储格式和按行压缩稀疏存储格式，首先我们将满矩阵存储方式和半带宽存储格式进行了对比，迭代法的数值实验表明：利用半带宽存储的矩阵在空间运算方面具有高效性；然后针对目前数值实验中流行的按行压缩稀疏存储格式，实现了有限元离散代数系统的迭代法的求解。

This text has relatively passed and pushed away France and characteristic root law and solved the difference of difference equations through these questions.

本文通过这些问题比较了递推法和特征根法解差分方程的差异。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法，分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性，具体内容如下： 1。

In the method of numerical analysis, the spatial part of equation system in strong conservation form is first discretized by conventional central finite-difference approximation and then the system of partial differential equations becomes a system of ordinary difference equations.

本文所建数值方法的基本空间离散格式是中心差分，并用源于Jameson的标量耗散模型抑制数值波动；采用经典四阶龙格—库塔法积分经过空间离散后得到的常微分方程组当残差足够小时的解为稳态解。

Then through the DDM, the method of lines combined with the finite-difference frequency-domain method is used for the parameter extraction of multilayered multiconductor interconnections.

然后利用区域分解法平台，将直线法和有限差分结合起来，用于提取多层介质中具有任意截面形状多导体互连结构的电磁参数。

A torsion difference scheme of the bar with sectorial cross-section is developed in polar coordinate system .

导出了极坐标系下扇形截面杆件扭转问题的差分格式；用逐次超松驰迭代法求出了扭转应力函数差分值。

This thesis deals with oil-water flow rate measurement using a venturi and develops a differential pressure-based two-phase flow rate measurement model, which does a terrific job with the use of a water fraction device. Meanwhile, Coriolis flow rate meter is also studied in the oil-water two-phase flow measurement and a SVM-based single-phase flow rate prediction method is proposed, realizing the prediction of single-phase flow rates. To overcome the disadvantages of both venturi and Coriolis flow meters, a double parameter measurement method is put forward, which combines the two meters and solves the problem of oil-water flow rate measurement. Last but not least, on the basis of the study of two-phase flow, a device for the separation of gas and liquid is designed and realizes the flow rate measurement of three-phase flow as oil, gas and water.

本文对文丘里管测量油水两相流流量进行了研究，建立了基于差压法的两相流流量测量模型，如果与含水率计相结合，可以较好的实现油水两相流的流量测量；同时研究了Coriolis流量计在油水两相流流量测量中的应用，提出了基于SVM的油水两相流分相流量预测方法，实现了油水分相质量流量的预测；针对文丘里管和Coriolis测量油水两相流存在的问题，提出了文丘里管和Coriolis流量计相结合的双参数测量方法，并实现了油水两相流的流量测量；最后，在对油水两相流研究的基础上，设计完成了一种气液分离装置，实现了油气水三相流的流量测量。

By using the Rescaling Range analysis(R/S analysis),we analyse the multi-fractal features in the system of Shanghai and Shenzhen Stock Market Composite Index.We estimate the Hurst exponents in the above mentioned system.

本文根据沪、深两市综合指数收益率的真实时间序列，通过应用重标极差分分析法分析了沪、深股市中存在的分形特征，并得到了两个市场的Hurst指数。

Therefore, this paper used improved box-counting approach to compute the fractal dimension of wood texture cell image.

为了提取木材纹理特征，提出采用改进差分盒子法计算木材纹理细胞图像的分形维数值。

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。