数值方程

The two flows can be solved simultaneously and no boundary condition is needed on the interface between them. The implicitly limitation of Continuity Equation makes it sure that the velocity and pressure of the two flows on the interface keep to equal at any time.

数值计算时，波浪与孔隙流的交界面不需要给定边界条件，而是通过连续方程的隐式约束，保证两种流态在边界上的速度和压力匹配，实现了波浪场与孔隙流场的同步耦合。

From finite difference equation of unsteady-state heat conduction ,according to vonNeumann method about scheme stability,the explicit scheme stability condition of two dimension computational heat conduction was given.

从非稳态导热的离散方程出发，根据VonNeumann的格式稳定性判别方法，给出二维导热数值计算显式格式的稳定性条件。

Numerical solution method of motion equation, flow model and solute transportation model is also expounded.

并阐述了运动方程、水流模型及溶质运移模型等模型各部分的数值求解方法。

The reaction rate constant and adsorption equilibrium constant in the equation were determined by means of initial concentration method.

利用所推测的动力学方程建立了气相光催化反应器的数学模型，并得到了非稳态条件下模型的解析解和数值解。

Finally, to understand and reproduce the results of numerical simulations, we propose a phenomenological noise driven equations describing evolutions of macroscopic variables under the assumption of local energy equipartition and the fluctuation-dissipation theorem. The numerical results of the stochastic equations and those of numerical results from the original Hamiltonian dynamics coincide with each other very well.

最后，为了理解和重现数值模拟的结果，我们通过局域能量均分假设和涨落耗散定理，建立了一个由噪声驱动的宏观变量演化的唯象动力学方程。

The research of nonlinear ergodic theory began in the mid-seventies. Consequently, it got great development because it was widely used in many questions such as the numerical solution of differential equation, the existence theory of positive solution, control theory, optimization.

非线性算子半群的遍历理论的研究开始于二十世纪七十年代中期，随后由于被广泛应用于微分方程的数值解，正解的存在性理论，控制论，最优化等问题中而得到了很大发展。

In this paper the effects of scanning truncation error, scanning position error, random amplitude and phase error, and multiple-reflection error in near-field antenna measurement are analyzed; error equations and the uncertainty of measurement are obtained through computer simulation; compensated techniques for reducing the effects of measurement errors in near-field antenna measurement are presented and the formula and arithmetic of phaseless near-field techniques are derived.

本文从解析法和数值仿真两个角度深入分析口面天线近场测量中扫描面截断误差、扫描面位置误差、随机幅相误差、多次反射误差等误差源对天线远场特性测量精度的影响，一方面从理论上给出相应的误差方程，另一方面建立误差分析模型，通过计算机模拟，得到不同误差条件下测量结果的不确定度，并介绍了减小这些误差的修正方法，推导无相位近场测量的公式和算法。

In Chapter Ⅲ, the fully implicit numerical method for the discrete solution of Euler equations is introduced.

第三章主要介绍了本文求解离散化Euler方程的隐式数值方法。

Yet, the number of instance the exact solution can be found byanalytical means is very limited.

因此，有必要用数值方法得到微分方程的近似解。

When the quasi-solution existence theorem of the equation has been proved,the algorithm getting quasi- numerical solution by computer is presented.

在方程的适定性和拟解的存在性都已得到证明的情况下，提出了能通过计算机得到近似数值解的算法，讨论了算法的可行性并进行了误差估计。

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