查询词典 numerical method

In this dissertation, the following critical theoretical problems on local La-grangian numerical differentiation are studied: explicit formulas, local estimate for the remainder, and the highest order of approximation in the case that the values of the function at these interpolation nodes have perturbationsLagrangian numerical differentiation is a method that the Lagrange interpolation polynomialis differentiated to approximate the derivative, where Tn ={t_0,t_1,......

本文主要研究有关局部Lagrange数值微分法的一些关键性的理论问题：公式的显式表示，余项的渐近估计，以及在插值数据有扰动的情况下，局部Lagrange数值微分法的最大逼近阶。

At present the numerical simulation of electromagnetic method of finite difference method, finite element method, boundary element law, integral equation method, and so on were commonly used in the exploration.

目前电磁法勘探中常用的数值模拟方法主要有：有限差分法、有限单元法、边界单元法和积分方程法等。

The central contents of this article are as follows: First, subsection discretionary numerical sequence clustering method is advanced to replace previous method for its bad precision, after analyzeing each method of data clustering. Because of the shortcoming of complex in superior partition clustering method, a "choosing maximal distance" model is advanced according to the increment of dispersion measure within a cluster.

本文研究的主要内容如下： 1、分析用于数据分级的各个方法，由于任意数列分级结果的精度较差，提出了分段任意数列分级模型；针对最优分割分级方法计算量大的缺点，提出了以级内离差和的增量最大为依据的最大距离选取模型。

Secondly, point out that meshless method is different from finite element method in handling boundary condition and numerical integral because the approximation function of meshless method is not inserted function, it have itself special methods. Deduces meshless Galerkin essential equation of parabolic partial differential equation with the method ofweighted residuals------Galerkin. Furthermore, discusses the main factors which may effectthe calculation precision and give some suggestion with which can get the best result.

其次，由于无网格法的近似函数不是插值函数，所以无网格Galerkin法在处理边界条件和对区域积分时是不同于有限元的，它有其独特的处理方法，从加权残量法——Galerkin出发，推导出抛物型偏微分方程无网格Galerkin法的基本方程，并对影响无网格Galerkin法的主要因素进行探讨，给出了取得最佳效果的相应建议。

We analyze the advantage of the simple iterative method over Newton method at last. The numerical examples show that the more computational time has saved by the simple iterative method than the Newton method.

最后分析了简单迭代和牛顿迭代的优劣对比，数值算例表明在同样精度下简单迭代更节约计算时间。

In this thesis, the methods for solving eigenvalue problems and conventional reanalysis methods are studied firstly. Then, a new reanalysis method for real modal reanalysis of structures subjected to topological modification with added degrees of freedom is presented. This method is composed of the single step perturbation method and the Rayleigh-quotient iteration. The numerical examples show that this reanalysis method is very effective and high-quality.

本文首先在对常规的特征值数值求解方法和重分析方法研究的基础上，针对实模态的自由度增加的结构拓扑修改重分析，提出了一种新方法，该方法由于结合了单步摄动法和瑞利商逆迭代法两者的优点，应当是一种比较理想的重分析方法，算例的数值结果也有力的验证了该方法确实是一种高精度、十分有效的实模态重分析方法。

The book covers one-, two- and three dimensional problems which are solved by using exact and approximate analytical methods and numerical methods such as: the finite difference method, the finite volume method, the finite element method and the boundary method.

书中涵盖一，二和三是利用精确和近似分析方法和数值方法，如：有限差分法求解二维问题，有限体积法，有限元法和边界法。

Through analyzing the work characteristic and the work mechanism of the interface in this research paper, bonded rebar technique is applied to the bonding treatment of the interface, the reformative method of enlarging sectional areas is proposed, and the work mechanism of the anchor bar in the interface is analyzed. The work mechanism of the reformative method of enlarging sectional areas and the interface mechanical performance have be more systematical analyzed and studied with the finite element numerical simulation method, the structural testing method, and combing project practice. Based on that, the suggestion formula of shear and tension bearing capacity for the old and new concrete is put forward.

本研究论文通过分析新旧混凝土界面的工作特点及工作机理，将化学植筋技术应用于新旧混凝土界面的粘结处理，提出改进的加大截面加固法，分析了锚筋在新旧混凝土界面上的工作机理；运用有限元数值模拟方法和结构试验方法，并结合工程实践，对改进的加大截面法的工作机理及界面受力性能进行了较为系统的研究分析，提出了新旧混凝土抗剪、抗拉承载能力的建议公式；根据研究结果，提出了改进加大截面法的设计原则和施工工法，并在工程应用中取得了良好的效果。

A method to find the exact points of inlet and outlet of film-thickness of the EHL is introduced. A numerical solution of TEHL of the gear using Newton relaxation method and binary search method and the method to find the exact points of inlet and outlet is developed. By means of multiple regresion, a formula to calculate TEHL flash temprature of the gear is obtained.

推导给出了齿轮承载区内热弹流热流密度方程、无量纲参数团表示的热弹流方程和油膜入口点及出口点搜索确定方法，编制了由松弛因子牛顿法、对分法及油膜入口点和出口点搜索方法等组成的便于工程实际应用的齿轮承载区热弹流快速计算程序。

This text aims at the difference of several representative geology conditions in Yang Shui mining area, carried on the primary election to the mining method of Yang Shui mining area, introduced the new theories of numerical optimization choice of mining method that are fuzzy mathematics and artificial neural network etc, based on the existing mining methods that are feasible, adopt the fuzzy optimization choice principle of flexible neural networks, and synthesize several experts and fieldworkers' opinion, built up the related mathematical model and revised model, carried on processing of programming through computer, thus established each optimization mining project under several representative geology conditions in Yang Shui mining area, and carried on optimizing to the existent unreasonable parameter in mining project;have the great significance to aim at each kind of geology condition for each mining area to adjust the mining method in time in the course of mining, abandon chronically unreasonable mining method, full reclaim the mine's resource, lower the dilution rate、 loss rate of mineral mining, raise the production capacity of stope and economic benefit of mine.

本文针对洋水矿区几种典型地质条件差异，对洋水矿区采矿方法进行了初选，介绍了模糊数学和人工神经网络等采矿方法数值优选新理论，在现有可行性采矿方法的基础上，采用弹性神经网络模糊优选原理，并综合多位专家及现场工作者的意见，建立了相关的数学模型及修正模型，通过计算机进行编程处理，从而确立了洋水矿区几种典型地质条件下各自的最优采矿方案，并针对采矿方案中存在的不合理参数进行了优化，为各矿区针对各类地质条件在采矿过程中及时调整采矿方法，摈弃习惯性的不合理采矿方法，充分回收矿山资源、降低矿石开采的贫化率、损失率，提高采场生产能力以及矿山经济效益具有重大意义。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。