数值方程

By using the numerical calculation results of the density matrix equations of motion of a closed Λ-type inversionless lasing system, the effects of the propagation of light fields on the gain of lasing without inversion, Rabi frequencies of the probe and driving fields, and the modulation role of spontaneously generated coherence on the effects were investigated when the Doppler broadening presents.

利用封闭Λ型三能级无粒子数反转激光系统密度矩阵运动方程的数值解，研究了存在Doppler展宽的情况下光场的传播对LWI增益、探测场和驱动场Rabi频率产生的影响以及有自发辐射诱导相干对这个影响的调制作用。

According to the point of view of mechatronics, the modeling of the dot-matrix needle printer head has been completed by the method of electromechanics.

本文从机电一体化的观点出发，运用机电动力学方法，完成了计算机的点阵针式打印头的建模，并进行了数值模拟分析，且推导出"L"形打印头的磁路、电路和动力学方程，给出了相应的初始条件和边界条件。

Eigenfunction of the coefficient matrix is used to analyze the stability of ordinary differential equations, so that the developing ...

还讨论了控制方程的稳定性对数值方法的重要影响，并得到步长的取值范围。

Chapter 2 is started from the basic theory of elastodynamics, the zero and the first order reflection and transmission coefficients of rough interface are derived in theory, and some numerical examples are given. Also dispersion characters of diffraction waves are discussed in the case of micro-rough interface in deep layers.

第二章从弹性动力学的基本理论出发，通过求解波动方程的定解问题，从理论上导出了地震波在粗糙界面上的零阶和一阶反射透射系数，并给出了数值算例；该章还讨论了深层微粗糙界面的绕射波的频散特征。

In this paper, a uniform numerical solution of the elliptic equation singular perturbation problem with two directions of turning points is considered.

讨论具有双向转向点的椭圆型方程奇摄动问题的一致数值解法，证明带指数型拟合因子的差分格式关于小参数ε的一致收敛结果。

In this paper, propose a new method based on the MATLAB/PDETOOL Box to solve the definite solution problems for elliptic equation problem, and the needed time of the program for the different nodes.

基于有限元的MATLAB/PDETOOL工具箱库函数，对MREIT中的椭圆方程定解问题进行数值求解，还给出了求解规则区域的定解问题时，不同节点所需的运算时间。

This book discusses the theory of elliptic differential equations and numerical processing.

本书论述了椭圆型微分方程的理论与数值处理。

A numerical method of solving 2-D inverse problem of determining coefficients in elliptic equations is studied.

本文讨论了二维的决定椭圆型方程系数反问题的数值求解方法。

With the definition of overheight, we derived an empirical formula based on a large number of numerical experiments and regression analysis.

在分析描述潮汐影响下滨海地下水运动的控制方程和边界条件的基础上，建立了地下水运动数值模型。

The solving equations of numerical manifold method used to be formulated by minimum potential energy principle.

以往的数值流形方法都是以最小势能原理或变分原理为基础来建立求解方程的。

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