差分法

It is difficult to get the analytic solution of difference equation by using traditional methods with computer.

摘要利用传统方法很难在计算机上实现差分方程的解析解求解，本文提出了一种获得差分方程解析解的线性算法，该算法的基础是完全线形变化法。

It not only derives truncation error of the difference scheme, but also proves absolute stability of the differecce scheme by the energy estimate method.

不 仅导出了差分格式的截断误差，而且还应用能量估计法，详细论证了差分格式的绝对稳定性。

The working mechanism of Wollaston prism differential interference contrast method is introduced, and by this method, the processes of ignition, backfire, flameout are observed. The effects of the stabilizing rod on v-flames are also researched.

介绍了Wollaston棱镜差分干涉仪的工作原理，用差分干涉法研究了预混V形火焰的的点火、熄火和回火过程的特性以及稳定杆对V形火焰的影响。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

By using the Tadmor's convergence criteria for the difference approximation of the hyperbolic conservative e2 quation and introducing some adjusting parameter in the nonvanishing viscosity , some convergence properties are obtained.

Descripción ：摘要：应用Tadmor 的关于双曲型守恒方程式差分逼近的收敛性判别法，对于若干差分逼近式，引入一些参数，只要在上机时适当调整此参数值，即可得到其收敛性。

Based on Wu's elimination method and "divide-and-conquer" strategy, the undetermined coefficient method for constructing polynomial conservation laws of nonlinear differential-difference equations was improved. Furthermore, a Maple package CLawDDEs was developed to automatically derive conserved densities and associated fluxes of polynomial differential-difference equations.

基于吴消元法和"分治"策略，改进了基于标度不变性构造非线性微分差分方程多项式形式守恒律的待定系数算法，并在计算机代数系统Maple上实现了改进后的算法，其中的软件包CLawDDEs可自动推导出微分差分方程的守恒密度及连带流。

First, the mathematic models of equidistant and inequidistant difference schemes are founded. Then, the range of influence, criteria and process of damage location detection are obtained. The index is also used to detect concrete damage with microcrack, namely without macrocrack.

建立了基于等间距、不等间距差分格式的损伤应变模态差分数学模型及其损伤位置直接指标法，提出了损伤位置判定准则、判定步骤及损伤影响区确定方法。

Equations are differenced by control volume algorithm , convection term is differenced by up wind difference algorithm , diffusion term and continuity equation are differenced by central difference algorithm .

采用控制容积法对控制方程组进行离散，对流项采用迎风差分格式，扩散项、连续方程采用中心差分格式。

This paper presents the method of computation for waveguides partially filled with dielectric by using finite-difference time-domain method.

给出用时域有限差分方法计算电磁场问题的差分格式，详细介绍了FDTD法分析介质填充波导截止频率的计算过程。

By the improved algorithm of exploring iterative interpolation method, the pre-estimate formula in the form of 2-order differential equation have been replaced by pre-estimate formula in the form of 1-order differential equation, confirm the u monotony accession strictly. It could avoid the interpolation direction converse and oscillation.

算法采用改进的探索迭代法实现，用一阶差分预估器代替二阶差分预估位置点的偏差器，保证曲线参数u的严格单调增加，以消除插补方向反转和振荡现象。

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。