查询词典 convolution equation

For the radiation transfer equation, both the spatial domain and the angular domain is discretized, and the finite volume method is used to solve the equation in an explicit way.

把一种新的三维热辐射计算方法应用到高超声速非平衡流场的数值模拟过程中：在非结构网格上对高超声速化学非平衡流场的数值模拟过程中，耦合了辐射输运方程来求解辐射热流。

Solving antiplane response of triangular hill or structure to incident SH waves by using the idea of assistant functions and division, the standing-wave equation constructed in domain Ⅰ must satisfy the governing equation and the zero-stress condition on the wedges.

利用分区和辅助函数思想求解三角形凸起对SH波散射问题时，在区域Ⅰ中构造的驻波，它应该同时满足三角形斜边上应力自由和控制方程，只有这样，所得到的结果才能是正确的。

To resolve thismodel,one approximate liner first derivative equation is used.An simple caculatemodel is setted up for caculating the motive adjust,and a mathematical equation incaculating the range of pressure motion in the system.Experiment data showe thatthese models have high accurecy.

在此基础上，对分析模型采用一阶微分近似线性化处理，建立了计算动态调节过程的简化计算模型，并以此建立了计算系统压力动态变幅的计算式，试验表明简化模型具有较高的精度。

And the numerical solutions of difference equation are regarded as the approximate solutions for the differential equation.

文中首先对对称正则长波方程提出了一个两层和两个三层的有限差分格式。

The main idea of the finite difference method is as follows: We consider the discrete difference equation with the finite alphas as approximate substitution for the differential equation with the continuous variant and boundary conditions.

有限差分方法的基本思想是用离散的，只含有有限个未知数的差分方程去近似代替连续变量的微分方程及边界条件，并把相应的差分方程解作为微分方程的近似解。

Because of appearing empty aggregates in the time zone (the time zone do not include the information), we only establish the indeterminate grey differential equation according to the approximate condition of the differential equation.

利用灰色微分方程中的最小二乘估计参数：进而得到灰色神经网络初始的权值及阈值，这样使初始的权值和阈值更接近准确值，克服了以往BP网络中初始权值的随机性和不确定性，减少了网络的训练次数，提高了网络收敛速度和输出的精度，为避免网络训练陷入局部极小值也起到了重要的作用。

The basic concept in these sections is replacing backward Euler's method by modified backward Eulers's method to approximate the characteristic differential equation and discretizing the convection-diffusion equation at the middle point of the approximate characteristic curve, which will make the convective term get up to second order accuracy.

这三节的基本离散方法是用改进的Euler公式代替向后Euler公式来近似特征微分方程，并且将近似特征线的中点作为离散节点，使得对流项的离散精度提高到二阶，对于扩散项，将其转移到待求时间层进行离散。

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

Homogeneous linear equations consistent with the superposition principle, that is, if 1,2 is the equation, then 1 hEh2 also equation, where is an arbitrary constant.

齐次线性方程的解符合叠加原理，即若1，2是方程的解，则1＋hEh2也是方程的解，其中，为任意常数。

The associated Euler-Lagrange equation leads to a nonlinear partial differential equation of second order in the wavelet domain.

通过求解该模型的极小化，推导出其相应的Euler-Lagrange方程为小波域中的二阶非线性偏微分方程。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。