查询词典 parabolic

In order to solve parabolic equation of heat conduction with interval parameters, the regions of space are discretized by finite elements and the regions of time are discretized by finite difference. The interval finite element method based on the element is established via the combination of interval analysis and the traditional finite element method.

对具有区间参数的热传导抛物型方程的求解，在空间域上利用有限单元离散，在时间域上利用差分离散，将区间分析和常规的有限元法相结合，建立了求解不确定温度场的基于单元的区间有限元方法。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

A high precise explicit difference scheme for solving three-dimensional parabolic equation is constructed and studied.

构造和研究了三维抛物型方程的高精度显式差分格式。

Three-dimension parabolic equation ; high precision ; explicit difference scheme ; truncation error

三维抛物型方程；高精度；显式差分格式；截断误差

The traditional virtual boundary integral expression is based on the extension of single layer potential, for the integral formulas related to single layer potential for parabolic problem, the numerical computation of the exponential integral function is unavoidable.

通常的虚边界积分公式是利用单层位势的延拓来建立虚边界元积分方程，但对带时间变量的单层位势，要涉及到指数积分函数的计算。

Based on the improved Bajsanski-Bojanic parabolic method and the related properties of integral operators, a global saturation theorem for the mixed exponential type integral operatorLnis established.

研究了该类混合指数型积分算子的性质，利用改进的Bajsanski-Bojanic抛物线技巧及积分算子的有关性质，建立了一类混合指数型积分算子的整体饱和定理。

This is another novelty of this method. For a family of parameters, the analytical solutions of parabolic PDEs are given using the new method in this paper, the result schemes are posed.

给出了一类抛物型偏微分方程的解析解，并给出了其与差分数值解法所得到的解的比较，比较曲线表明了这种新解法的正确性。

The main contents of this course include: the construction, convergence, compatibility and stability of finite difference scheme of elliptic equation, parabolic equation and hyperbolic equation, the construction method and computation format of finite difference scheme of a system of partial differential equations.

本课程主要内容有：椭圆型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、抛物型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、双曲型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、偏微分方程组的有限差分格式的构造方法及有关的计算格式。

5Calibration of the laser optical axis of the basic principles and methods isdiscussed, laser target designator axis calibration device is designed, the key technologythat a large caliber, long focal distance from the axis parabolic reflector design is solved,and the cross target line which can be used for a wide variety of observation devices isdesigned, the final calibration accuracy is 0.05mrad.

5论述了激光光轴校正的基本原理和方法，设计了激光目标指示器光轴校正装置，解决了其中的关键技术：大口径、长焦距离轴抛物面反射镜的设计问题，并设计了可用于多种观瞄装置的十字靶标，最终的校正精度达0.05mrad。

The second kind of parabolic differential equation,multi-dimensional fractional equation,is generalized from the seepage flow.

遗憾的是，大多数分数阶微分方程的解析解都含有复杂的级数或者特殊函数，不利于进行近似计算。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。