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This paper discusses the different differential methods of Alternating Direction Implicit Method with initial condition and boundary conditions in detail.

文摘:详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。

In this thesis, we discuss some algorithms for giving the zeros of maximal monotone operator in a Hilbert space and the alternating direction method for the variational inequalities.

本论文主要讨论了求解Hilbert空间上极大单调算子的零点的数值算法以及有限维空间上的变分不等式的交替方向方法。

Based on wave propagation feature, this paper analyses 3D seismic migration algorithms such as alternating direction implicit method, LU decomposition method, and inverse operator approach method. The result shows that the alternating direction implicit method is fast but causes distortion in wave field extrapolation and affects image accuracy; however LU decomposition and inverse operator approach methods are fast while holding circular symmetry of wave field, and are promising in oilfield exploration and development.

在波的传播特征分析基础上,对交替方向隐式法、LU分解法、逆算子逼近法等三维地震偏移算法进行了分析研究,结果表明,交替方向隐式法虽然快捷但是在波场外推中明显产生畸变并影响成像的准确性,而LU分解和逆算子逼近法是保持波场圆对称特征前提下的快速算法,在油田勘探开发中具有较好的应用前景。

A variational alternating method which is suitable for studying three dimensional finite cracked solid is given by this paper.

本文给出适用于三维含裂纹有限大体的变分交替方法。此方法的奇次步骤系以文献[10]为基础。

This 3D animated desktop clock offers 80 different models, designed in a wide range of popular themes, and shows the time in a virtual analog display, including hours, minutes and seconds.

这三维动画桌面时钟提供80不同的型号,设计,在广泛的流行主题,并显示的时间在一个虚拟的模拟显示,包括时,分,秒。

The angular distribution of the transmission coefficient of HH polarization are obtained by numerical implementation, the influence of the permittivity and the mean layer thickness of intermediate medium, friction velocity and the frequency of the incident wave on the transmission coefficient is discussed.

通过数值计算得到了HH极化透射系数随散射角的变化曲线,讨论了中间介质介电常数和厚度、摩擦风速和入射波频率对透射系数的影响,得到改进的一维分形分层海面透射系数的基本特征、分区特征和随频率变化的特征,结果表明透射系数近似具有"量子化"特征。

The angular distribution of the bistaticscattering coefficient of HH polarization were obtained by numerical implementation. Influences of the permittivity and the mean layer thickness of intermediate medium, friction velocity and the frequency of the incident wave on the bistatic scattering coefficient were discussed. The basic characteristics, the zonal characteristics and the characteristics with varying of frequency of the scattering coefficient from stratified sea surface were obtained. The numerical results show that the scattering coefficient has approximate "quantization" characteristics.

通过数值计算得到了HH 极化双站散射系数随散射角的变化曲线,讨论了中间介质介电常数和厚度、摩擦风速和入射波频率对双站散射系数的影响,得到改进的一维分形分层海面散射系数的基本特征、分区特征和随频率变化的特征,结果表明散射系数近似具有"量子化"特征。

The main works include: In this thesis, we use Finite Difference Time Domain method to study the relationship between diffraction efficiency, angular dispersion and grating constant, to discuss how the grating figure influence the diffraction efficiency, and to research the frequency spectrum characteristic.

主要工作包括:本文分别在垂直入射和自准直入射(光垂直于光栅刻槽面入射)情况下,采用时域有限差分方法,利用商业数值计算软件OptiFDTD对二维闪耀光栅进行了矢量电磁场数值计算,研究了光栅的衍射效率和角色散随光栅常数的变化情况,研究了光栅形状对光栅衍射效率的影响,还讨论了各种光栅的频谱特性。

With the help of catastrophe criterion, the anomalism criterions of the crossfeed between dam body and foundation are acquired from the real contact area or fractal dimension curve vs.

并基于突变性判据,利用互馈面实际接触面积或分形维数曲线随名义应变变化的特征,得到了坝体与坝基互馈的转异判据。

In Chapter 2, a method for producing approximate point source responses in laterally varying model is introduced.

第二章给出了作者所发展的计算二维不均匀介质中点源理论地震图的有限差分近似算法。

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