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In the text, the Spectral element method is used to model the seismic wave propagation, which is based on a weak formulation of the elastic mechanics equation. It combines the geometrical flexibility of the Finite element method and the accuracy of the pseudospectral method.

本文采用谱元法对横向同性介质中的地震波进行模拟，该方法基于弹性力学方程弱形式基础之上，具有有限元适应任意复杂介质模型的韧性和伪谱法的精度。

Week 8 - Geometrical optics, wave propagation 1 hr, in class

第八周－几何光学、波的传播

The GKS stability theorem for one-dimensional model of hyperbolic initial and boundary value problem, Trefethen's explanation and extension based on the concept of group velocity are generalized firstly. Another possible high-frequency instability mechanism in numerical realization of MTF is pointed out based on his explanation and extension, namely, coupling effect of outgoing harmonic wave along one direction and node motion in the other directions can reverse the energy propagation in multi-dimensional discrete grids.

本文概述了—维双曲型偏微分方程组初边值问题数值稳定性的GKS定理及Trefethen基于群速度概念对这一定理的解释和推广；并应用Trefethen的解释和推广指出了MTF在数值实现中可能出现的另一种高频失稳机制，即在多维离散网格中，沿某一空间方向的外行简谐波，由于与其他空间方向节点运动的耦合效应可以使能量传播方向反向。

On one hand, the grain boundaries are the sites of microcrack nucleation, microcracks first occur at grain boundary zone, whose propagation type depends on lamellar orientation of both side of grain boundary.

一方面，微裂纹首先萌发于晶界区，其扩展方式取决于晶界两侧片层的取向。

In this paper we will discuss the force propagation and distribution in 2D granular material systems.

本文对二维颗粒系统中的力的传递和分布作了相应的讨论和研究。

Also, the granularity of propagation should be flexible.

也就是说，传播的颗粒度要非常灵活。

Basing on the propagation characteristics of electromagnetic wave in the ground, Ground Penetrating Radar is one of high r...

探地雷达是一种利用高频电磁波在地下介质中的传播特性来探测地下目标的高分辨探测技术，目前最高分辨率可达到厘米级。

Phase velocity and group velocity are important characteristics of elastic wave propagation.

相速度、群速度是弹性波传播的重要特征。

Numerical simulation on propagation of ultra-short laser pulse in photonic crystal fibers with different group velocity dispersion parameters.

超短激光脉冲在不同色散参量光子晶体光纤中传输的数值模拟。

Breeding improved varieties of tea varieties in Anhui Province in the east field propagation model is the Ministry of Agriculture jointly built seed market, operates mainly in green tea seed and clones (1) green tea has "Gladiolus Spring" brand Xiangshan cloud sharp, middle and low gross peaksà, Gunpowder (2) clonal tea varieties cultivated in recent years, market demand for variety, but also according to customer needs an appointment breeding of all types of varieties.

安徽省东至茶树良种繁殖示范场是属农业部联建的良种场，主要经营绿色食品和无性良种茶苗（1）绿色食品茶叶有"剑兰春"牌香山云尖，中低档毛峰、炒青、珠茶（2）无性良种茶苗培育近几年市场需求的品种，也可根据客户需要预约繁育各种类型的品种。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。