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The author makes an initial discussion on how to clarify the origin and theoretical basis of infinitesimal method during the teaching of this very method in the application of definite integral.

针对在定积分应用的微元法教学过程中,就如何阐明微元法的来源、理论依据以及在实际应用中需注意的问题等进行初步的探讨。

Adopting the network of radial basis function ormended BP network,the forecasting network model of stock on estimation region can beestablished.The stock of each pixel in estimation region can be calculated through simulationapproach,the total stock of compartment or sub-compartment can be obtained by way of theintegration to all pixels.

通过径向基网络或改进的BP网络建立估测区域蓄积预报网络模型,借助仿真方式计算估测区域每个像元的蓄积,对全部像元积分可得到林班或小班的总蓄积。

Next, we study the case when the approximation spaces are the anisotropic linear triangular element and a new conforming triangular Hermite-type one, by taking advantage of a series of new approaches, the convergence analysis of hyperbolic type integro-differential equations is provided, the error estimates are also obtained .

其次,把逼近空间分别取成具有各向异性特征的协调线性三角形元和一个新的二次Hermite型三角形元,针对双曲型积分方程,给出了相应的收敛性分析及其误差估计。

Calculation formula of quaternion integral initial values in simulation was put forward through quaternion to Euler angle conversion.

通过四元数到欧拉角的转换,给出了仿真中四元数的积分初值计算公式;分析了弹射仿真中姿态角的跳跃和间断问题。

There is no difficulty for us to solve N-K problem for submerged bodies by the coupled element method, but for wavemaking problems of the bodies piercing free surface, we get a difficult problem of line integral on the free surface when we solve the boundary value problem in the external region by boundary element method.

对于深潜物体的N—K问题,用耦合元方法求解不存在根本性的困难,但对于水面船波兴波问题,采用边界元方法来处理外域中的边值问题而出现了所谓的自由面线积分问题。

Around the finite solution problem of fuzzy differential equation, the fuzzy structure element method is put forward about the calculation of fuzzy analysis, and this method is applied to systematically study many problems such as formulation of fuzzy-valued function, difference of fuzzy-valued function, integration of fuzzy-valued function under the Riemann meaning, and the solution structure of fuzzy differential equation etc..

围绕模糊微分方程定解问题,提出了模糊分析计算的模糊结构元方法,并利用模糊结构元的方法对模糊值函数的表述问题、模糊值函数的微分、黎曼意义下的模糊值函数积分以及模糊微分方程的解的结构等问题,进行了深入系统的研究。

In order to test spectral element method and Newmark time integral, the codes of program and the feasibility of spectral element method for aeroacoustics, One question which has analytical solution and two typical questions of computational aerocaustics are simulated numerically by the program.

为了验证谱元方程和Newmark时间积分方法的正确性、自己所编程序代码的有效性以及谱元方法求解气动声学问题的可行性,本文使用程序分别求解了具有解析解的波动方程和计算气动声学问题中的两个典型问题。

It is proved that the method using the BEM to calculate the load distributions on the contact lines of involute gear pair, in which the applied load is taken in the form of a concentrated one at a single node, is not suitable. A method in which the tractions of the BEM are made to imitate the Hertzian pressure of the gear using 8 nodes isoparametric elements is introduced.

本文解决了边界元法在空间啮合副计算中存在的系数矩阵的存储,奇异单元积分的计算、表面不连续点处面力一点多值和求解未知量的线性方程组矩阵元素的计算等问题,编制了比不采用上述处理方法的一般边界单元法节省近一半内存和计算时间的适合空间啮合副的三维边界元法计算程序。

To solve the velocity potential,we used an integro-differential equation.

采用关于扰动速度势的基本积分微分方程,并采用双曲面形状的面元以消除面元间的缝隙。

In NWFM,to solve self-consistently the set of DFT Kohn-Sham equations,nuclear weight function is employed for numerical solution of multicenter integra-tion,which decomposes the problem of three dimensional integration to a sum ofone-center,atomic-like integrations.

首先介绍如何利用线性组合的原子轨道方法求解密度泛函理论中的K-S方程;接着详细地说明了核权重函数的概念,并列出了两种常用的核权重函数形式,同时阐述了如何利用核权重函数求解包含多中心积分的矩阵元以及复杂的三维泊松方程以获得电子间库仑势的方法;然后给出了求解矩阵元、有效势以及体系总能的具体数值计算公式。

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