数值方法

These days, along with the fast development of computer and the theory of pulverized coal's combustion, numerical experiment, which can complement the shortcoming of the traditional means, becomes another crucial method to study the above cases The tangentially fired boiler possesses a large part of the market all over the world.

而通过传统试验测量的方法只能够得到有限的数据，而今随着计算机和煤粉燃烧理论模型的发展，数值试验成为了炉内过程研究的另一个重要手段，而且通过数值试验的方法还可以弥补传统试验的不足。

Estimations of effective parameter in heterogeneous media: Firstly, we clarify the concept of the effective parameter and address the problems of parameter estimation by traditional pumping test. Secondly, we present two estimation approaches (i.e., distance-drawdown and spatial moment analyses) for Seff and Teff, which are consistent with Theis' homogeneous aquifer assumption.

本文探讨的内容主要分两大部分：(1)空间异质性孔隙介质有效参数的推估方法：主要探讨内容包括重新思考有效参数的定义及其观念，探讨传统抽水试验推估异质性含水层有效参数的一些问题，其次提出估计异质性地下水系统有效参数两个合理方法：泄降-距离曲线分析和泄降分布的空间矩分析，并以数值实例解释其合理性，文中藉由分析数值模拟的结果探讨说明该问题。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

An interpolation method to simulate fluid field numerically is advanced inthe light of general wavelet sampling theory. A number of properties areidentified: easy design, fast speed, high precision, no numerical viscid and wideapplication.

利用一般的小波采样定理，给出一个流场的数值模拟插值方法，该方法最大优点是设计思想简单，速度快，精度高，没有数值粘性，适用范围广。

In this paper, the mathematical model and the numerical simulation method of hydrodynamic problems, including the calculation of moving free surface and other boundary conditions for the viscous incompressible flow with free surface, were investigated.

这就需要对流场的数值计算方法进行比较深入的研究。本文对具有自由水面的不可压粘性流动问题的数学模型、数值计算方法、自由表面及其它边界的处理等问题进行了深入的研究。

By the proposed method, the exact calculation of the 3-D complexly structured waveguide EM fields is realized.

该方法克服了目前的有关数值分析方法在处理三维复杂结构波导边值问题所遇到的主要困难，实现了三维复杂结构波导边值问题的精确而有效的数值计算。

The velocity-stress pseudospectral method, an efficiently numerical modeling method, is easy to implement, with a high computation efficiency and can overcome numerical diffusion of the frequency efficiently.

模拟结果表明，伪谱法是一种有效的地震波数值模拟方法：易于实现，计算速度快、计算效率高，其计算速度是有限差分方法的数倍，能有效克服数值频散。

By using the methods of complex representation of quaternion matrices and companion vector, we study and simplify the numerical calculation methods of quaterinon matrices, and establish new aigebraic methods in quaternionic quantum mechanics.

我们通过四元数的复表示和友向量方法，研究并解决了四元数矩阵的一系列数值计算问题，给出一套四元数量子力学中的数值计算方法。

The mathematics description of the non-spherical lens is the most important problem for the beam shaping system design. A numerical simulating method and its precision analysis are given, and the results indicate that this method is simple, and can be used for the design of LD beam collimating system with non-spherical lens.

非球面柱透镜曲面的数学描述是人们目前关注较多的问题之一，作者使用数值拟合的方法，对其进行了数值拟合并给出了精度分析，结果表明：该方法简单、直观，能够完全满足特定精度的要求，从而可以方便地用于非球面柱透镜的分析和设计。

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。