差分法

With finite differential method, the discretization equations are derived by chosing control volume integral method to solve the unsteady one-dimensional heat conduction question with variable physical properties, and the temperature distributinn in ladle lining in preheat is computed.

应用有限差分法，选用控制容积积分法推导出离散化方程组，对一维不稳定态变物性热传导问题进行求解，计算出钢包在预热过程中包衬的温度分布。

The equations of the towed cable motion are based on Ablow and Schechter model and six degree-freedom ordinary differential equations are used in the analysis of the motion of a towed body. The partial differential equations are discretized by finite difference method and the transient values of towed body depth and cable tension are computed by Newton Iteration when the heave compensation system performs and the length of the cable varies.

拖缆动力学模型基于Ablow and Schechter模型，拖体采用水下运载体六自由度方程模拟，运用有限差分法离散偏微分方程组和牛顿迭代法计算变缆长情况下拖体深度与拖缆各点张力的动态取值。

As an efficient 2-D capacitance extract method, ES-MEI can solve a multiconductor in multilayered dielectric media problem using the comparable unknown number like in the integral equation method as well as the sparse matrix like in FD.

作为进行二维电容参数提取的有效方法，使其能以与积分方程法相当的变量数以类似有限差分法的稀疏矩阵处理分层介质中多导体传输线的电容提取问题。

Firstly, the predesign is carried out by use of the conventional analysis, and then the acceleration curve of the cam driven component is processed and revised discretely according to the requirements of dynamics performance.. The design equation based on a Refined Finite-Difference Algorithm is established and the calculating process is realized by the computer programs. Consequently, the cam profile with good performance can be attained.

该方法先用常规解析法作初步设计，根据动力性要求对从动件加速度曲线进行离散化处理和修正，再用有限差分法建立凸轮型线的设计方程式，通过计算机程序进行计算求解，因而可以获得优良性能要求的凸轮型线。

Having analysed the localization of several typical methods for traveltime computation(finite difference method,linear interpolation method and so on) in briefly,authors put forward a method for traveltime computation based on nonlinear interpolation ,and deduced its calculation formula.

在简要分析目前最典型的几种地震波旅行时计算方法(如有限差分法、线性插值法等)局限性的基础上，提出了一种基于非线性插值的地震波旅行时计算方法，并推导了其计算公式。

The article first theoretically analyzes the principle that microcavity reduces threshold 、changes resonant modes of output light and enhances unidirection of the random laser.Then study the structure parameters of different microcavity by transfer matrix.Based on the theory of Maxwell equations and the rate equations, analyze the principle that microcavity reduces the threshold by FDTD method: Changing the confined position,reducing relaxation time and increasing reversing particles, also simultaneously study the influences of the threshold and output light modes by different microcavities and random intensity of random medium.

首先从理论上分析了利用微腔降低随机激光器阈值、改变出射光振荡模式、提高出射光准直性的原理，然后利用传输矩阵法模拟研究了不同的微腔应具有的结构参数，最后以麦克斯韦方程和速率方程理论为基础，利用时域有限差分法分析了利用微腔降低阈值的原理：改变局域化位置、缩短弛豫时间及增大粒子数反转，同时也模拟研究了微腔、随机介质的随机强度对阈值及出射光波模式的影响。

For example, a regenerative reheating furnace fluid flow and heat transfer is researched, which has simplified the flow and heat transfer of hot air stove according to its real operating conditions.The fluid flow and heat transfer of a hot air stove are numerically simulated by using finite volume method or finite difference method,which bases on the heat transfer equation,flow equation of the gas and heat balance equation.

根据热风炉的实际运行状况对蓄热式热风炉内的流动换热过程进行了合理的简化，并基于热传导方程、气体流动方程和气体的热平衡方程，建立了蓄热体的非稳态传热模型，在对模型利用有限差分法和有限容积法得到离散方程的基础上，采用C 语言编制了模拟计算程序。

Based on multi-conductor transmission lines and dipole method, a numerical method to predict the transient electromagnetic environments due to the operation of switches in air-insulated substation is proposed. After a model of busbars in a 500kV substation is set up, the transient electromagnetic field is predicted.

4提出了将多导体传输线时域有限差分法和电偶极子法相结合的空气绝缘变电站瞬态电磁环境数值预测方法，并对一座500kV变电站开关操作产生的瞬态电磁环境进行了预测计算，获得了可用于指导二次设备下放后其电磁屏蔽设计的关键数据。

It discusses the resolvents to the problem of electromagnetic field, and the mostly used resolvents are FDM and FEM.

并讨论了电磁场问题的求解方法，常用的是有限差分法和有限元法。

To observe global/local failure in macro- and micro-scope respectively, and to speed up numerical approach for some cases, this research also tries to combine PFC2D software with the finite difference method of FLAC code to carry out three issues:(1) uniaxial test; and (2) Brazilian test to assess this linking/coupling numerical algorism, then (3) indentation fracture test in rock by a single-cutting tool.

本研究并於国内首次使用分离元素法软体PFC2D与有限差分法软体FLAC两二维数值软体进行贯切破坏之数值耦合运算，利用耦合概念加速分析之运算速度，两软体之连结透过力与速度之交换传递。

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。