数值微分

As the foundation of algebra, this course also offers indispensable preparation for subsequent core curriculum and sample curriculum such as differential equations, numerical calculation, functional analysis, probability theory and multivariate analysis, etc.

它不仅是代数学的基础，而且为微分方程，数值计算，泛函分析，概率论，多元分析等后继的基础课及选修课程提供了必要的

Based on detailed mathematical model of the heat and mass transfer processes in packed-type counterflow liquid desiccant systems, a set of linear ordinary differential equations describing the transfer processes is obtained by some appropriate simplications.

在建立逆流填料式液体除湿系统传热传质过程的数学模型基础上，通过合理的简化处理，导出了描述这一热质传递过程的常微分方程组，得到了相应的解析解；并与精确数学模型的数值解进行了对比，二者具有良好的吻合性；利用解析解分析了各参数对除湿性能的影响；所得解析解具有较好的理论及应用价

Based on detailed mathematical model of the heat and mass transfer processes in packed type counterflow liquid desiccant systems,a set of linear ordinary differential equations describing the tramsfer processes is obtained by some appropriate simplications.

通过对逆流填料式液体除湿系统传热传质过程数学模型的合理简化，推导出描述这一热质传递过程的常微分方程组的分析解，并与未简化数学模型的数值解作对比，二者具有良好的吻合性。

An approximate solution can be derived by using Crammer\'s rule.Illustrative examples are given to show that the method in the present paper is simple and efficient.

采用微分的方法首先把两点边值问题转化为Fredholm积分方程，再应用本文的方法求解，通过数值例子展示了该方法的简单有效性。

And then, the theory of curve evolution, how to solve the PDEs model based on level set method and its calculation methods are expatiated.

其次详细介绍了曲线演化理论、偏微分方程模型的水平集方法求解以及数值计算方法。

The pressure correction method is used to calculate the two-dimensional turbulent flow in general curvilinear coordinates.

按照进气箱对称面的形状，给出一种简化的二维进气箱几何模型，用微分方程法生成贴体的曲线网格，在任意曲线坐标系下采用压力修正法数值模拟了其内部二维湍流流动。

In this part, the characteristics of transient responses of flexible rotor systems with arbitrarily distributed mass on isotropic or anisotropic supports passing through several critical speeds seguencially are examined. Here, the current knowledge of rotor dynamics on the eigenproblem of damped free whirling vibration, the generaliged damped mode theary, the transient forced vibration and so on combined with KBM asymptotic method in the nonlinear vibration theory is employed and extended.

作者综合运用并引伸推广转子动力学关于阻尼自由回旋振动的特征问题、广义阻尼模态理论、瞬态强廹振动等現代理论和方法，结合非线性振动理论中的KBM渐近法，提出自己独創見解和覌点，成功地建立起正回旋和逆回旋两种情况下转子通过临界点的瞬态振动一阶微分方程组，可以在临界点的邻域内从事方程的数值积分计算。

To research the propagation characteristics of travelling wave along transmission line in depth, the authors establish a mathematical model of travelling wave along lossless transmission line with the format of discrete time and space mesh lines, derive the stable condition and boundary condition of the wave equations using numerical solution of partial differential equation, and attempt the simplification of the boundary condition to realize full decoupling of voltage and current.

为深入研究行波在配电线路上的传播特性，建立了时间-空间网格线离散格式的无损传输线行波数学模型，采用偏微分方程的数值解法推导了波动方程的稳定条件和边界条件，并尝试对边界条件进行简化，以实现电压和电流的完全解耦。

It is used to solve the discretized equation which is derived by EFGM.

精细积分法是求解常微分方程的一种成熟的数值算法。

Meshless method is a new numerical method on problem for determining solution of differential equation.

无网格法是求解微分方程定解问题的一种新数值方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。