数值方法

This course will introduction two numerical methods on fluid mechanics mainly: finite difference method and finite cell method.

本课程重点介绍流体力学的两大数值方法：有限差分法和有限单元法。

In recent years, the extensive application of the fractional differential equation in many modern scientific technique realms makes the research of its numerical method in and abroad prospers.

近年来，分数阶微分方程问题在现代科学技术领域获得了日益广泛的应用。由于其勿庸置疑的重要性，国内外对于分数阶微分方程问题数值方法的研究正在蓬勃兴起。

In Chapter 3, considering fractional relaxation equation, we make use of directlythe Grunwald-Letnikov definition to discrete fractional derivative, obtain a numericalmethod of fractional relaxation equation,and give the proof of consistency ,conver-gency and stability.

第三章对于一个推广到分数阶的松驰方程，直接利用Gru¨nwald-Letnikov分数阶导数定义进行离散，得到分数阶松驰方程一个数值方法，并给出了相容性，收敛性和稳定性的证明。

Chaotic behaviors of integral and fractional order double Mackey-Glass time delay systems are studied by phase portraits and bifurcation diagrams.

本篇论文以相图及分歧图等数值方法来研究双Mackey-Glass系统的整数阶与分数阶的浑沌行为。

Then, under the consideration of mixed boundary value condition, a pair of dual integral equations for the rocking vibrations of a disk on saturated grounds are obtained, which can be reduced to a Fredholm integral equation of the second kind and solved by numerical procedures. Consequently, the dynamic compliance coefficient is evaluated and numerical results are presented to portray the influence of poroelastic effects on the dynamic interaction problem.

对于刚性圆板，作者首先采用Hankel变换对波动方程进行求解，得到了该控制方程在Hankel变换域内的通解，然后由混合边值条件建立了饱和地基上刚性基础摇摆振动的对偶积分方程，并将其化为第二类Fredholm积分方程，用数值方法计算了不同频率下基础的动力柔度系数，从而考察孔隙水的存在对基础摇摆振动特性的影响。

The rigorous full-wave analysis of monolithic microwave integrated circuits and microstrip antennas has been made possible due to large increases in computing power and the development of a number of numerical techniques.

随着计算能力的提高和数值方法的发展，单片微波集成电路和微带天线的严格全波分析有了可能。

The discrete heat and moisture transfer equation and control conditions are obtained with finite volume method. The temperature and moisture distribution and transient heat and moisture absorbing and desorbing of porous envelop are calculated with numerical method. The program for porous envelop heat and moisture transfer are developed by use of FORTRAN. The heat and moisture transfer model is verified using the examples given out in the reference [41] and testing data of funk hole located in A zone Chongqing university.

采用有限体积法对多孔材料热湿传递方程及控制条件进行离散，用数值方法求解多孔围护结构温湿度分布和壁面的瞬时热湿吸放量，采用FORTRAN语言编写了围护结构热湿传递计算程序，并用文献[41]给出的算例和重庆大学A区防空洞的测试数据对模型进行了验证。

Based on this, we deduce the essential structure equation in terms of the principle of the classical Galerkin method.

提出了一种新的数值方法——基本结构有限元法。

Galerkin meshless method, similar to Finite element method, is a new numerical method developed recently.

无网格法是近些年发展起来的与有限元相似的一种数值方法。

According to generating finite element model by meshing for special-shaped section columns, a computer program using the digital iteration method for full range analysis of special-shaped columns is complied. By the analytical results,"M-φ" related curves are obtained, at the same time, differences of ductile behavior, and bearing capacity are analyzed.

通过异形柱截面的有限元单元网格划分，用数值方法编制了计算机分析程序，通过计算，可以得到以上各种截面柱的弯矩—曲率关系曲线，分析它们在延性和承载力等性能方面的差异。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。