数值方程

This thesis introduces a hybrid algorithm to model electromagnetic field in inhomogeneous medium, which combines integral equation method and finite element method.

本文介绍了联合运用积分方程法与有限元法计算三维非均匀介质中电磁场分布的理论方法，并给出了数值模拟实验结果。

With the Consideration of capillary pressure and its hysteresis effect, the finite element equation with semidiscretized method is deduced.

本文用半离散的方法对数学模型进行了有限元方程推导，并在数值模型中考虑了毛管压力的作用以及其滞后效应。

Shear stress is calculated based on Brinkman equation using the finite volume method with proper boundary conditions.

可渗透圆柱及圆柱阵列之间的间隙物使用具有不同渗透率的多孔介质模型，基于Brinkman方程，配以适当的边界条件，采用有限体积法进行数值求解。

Being aimed at the temperature field of finite heat propagation velocity, we make physical analysis and discussion.

利用拉普拉斯变换和差分方法分别对双曲线型导热方程进行了理论求解和数值分析计算，并对热量传播速度为有限值的温度场做了物理方面的分析和讨论。

Since 1950 s, the research of numerical method for hyperbolic conservation laws is one of key research directions in computational mathematics. The finite difference method, specially TVD and ENO schemes, for hyperbolic conservation laws are very successful.

双曲型守恒律方程数值计算方法的研究，是二十世纪五十年代以来，计算数学中的一个重要研究方向。

Based on the Collins formula, the analytical propagation equations for a Gaussian beam through a multiple spatial filter system are derived by using the methods of the matrix decomposition and expanding the aperture function into a finite sum of complex Gaussian function .

以Collins衍射积分公式为基础，利用A0CD矩阵分解与物理实现的技巧，以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，推导出了高斯光束通过多级空间滤波器系统的传输方程，并用数值计算加以说明。

Based on the exergy transfer equations, exergy transferring in the steady heat conduction process are calculated for the infinite plate at the first type boundary condition, and two results are compared when conductivity is stable and changed with temperature in this paper.

利用一维稳态传递方程，对平壁在第一类边界条件下的一维稳态导热过程的传递做了数值计算，并就导热系数为定值与变值的两种计算结果进行了比较。

An instance was given by means of the numerical solution for the first boundary value inverse problem of Laplace's equation.

将直匀流绕物面作二维无旋不可压缩定常流动时的流函数表达为曲面后，利用流函数曲面控制边界与流曲线的对应关系，采用拉普拉斯方程第一边值逆问题的数值解法，提出了来流为直匀流的流曲线造型方法并给出了实例。

The convergence of the traditional nonlinear equations is related to the selected initial value, but the convergence of the fixed point method is not related to it.

传统的非线性有限元方程组的数值求解法（牛顿-拉普森迭代法与共轭梯度法）只能求解单值性有限元方程，且其收敛行为与初始值的选择有关，而不动点方法在求解非线性方程组时的收敛行为不受初始值选择的影响，在大范围内是一致收敛的。

The main purpose of this paper is to study high-order accuracy and high resolution numerical methods on fluid dynamics equations.

本文的主要目的是研究流体力学方程的高精度高分辨率的数值方法，其主要内容包括以下几个方面： 1。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新