数值分析

The stress and displacement of each other lay can be clearly showed in the digital graph through computations of different ways in the model, avoiding formerly reading results through nephogram.

分别对围岩和支护结构进行了分析，摒弃了以往通过云图看结果的模式，而从模型的不同分析路径入手，对于各个层面的围岩应力及位移都有清楚的数值曲线表示。

Building compute model, theory and number analysis is carried on.

建立计算模型进行理论分析和数值模拟分析。

Based on an investigation on the conditions and mechanisms of superplastic forming,the numerical simulation of constant strain rate superplastic bulging under different temperature and strain rate of AZ31 magnesium alloy heart-shaped part was analyzed with the finite element analysis software MSC.

在超塑成形条件和超塑成形机理基础上，采用有限元分析软件MSC.MARC对AZ31镁合金薄板心形件，在不同成形温度和应变速率条件下的恒应变速率超塑气胀成形过程进行了数值模拟分析。

Numerical integral ; error analysis ; wavelet packet analysis ; filter design ; structural damage

数值积分；误差分析；小波包分析；滤波器设计；结构损伤

In order to describe the random-like feature of chaotic signal, the statistical analysis method for discrete time chaos system is studied. A domain iterative algorithm for numerical estimation of the invariant probability distribution is presented, which is the foundation for the statistical analysis and processing of chaotic signal.

针对混沌系统的随机性特征，本文研究了离散时间混沌系统的统计分析方法，并给出了一种基于Frobenius-Perron算子的区间迭代算法用于混沌映射不变分布的数值求解，该方法在样本数较少时，仍可以获得不变分布的良好估计，为混沌信号进一步的统计分析和处理奠定了基础。

The analysis and numerical simulation prove that this model is exact and simple.

理论分析及数值仿真结果表明，该解析模型是合理的，既有较准确的分析结果，又降低了复杂度。

Using the time series analysis and numerical simulation, we analyze the influence of colored noise and dispersal on synchrony between population dynamics, and the complex interaction between the two synchronizing factors.

运用时间序列分析和数值模拟的方法，分析了有色噪音和扩散对种群同步性的影响，以及这二者间的复杂相互作用。

At first, exposure dose distribution model of polar laser direct writing was established , and the cause of radial shift was analyzed. And then, the linewidth broadening model and radial shift model were established corresponding to object lens with numerical aperture 0.5, and the coupling relationship between linewidth broadening and radial shift was analyzed.

首先推导了极坐标激光直写的曝光量分布模型，分析了径向漂移产生的原因，然后针对数值孔径为0.5的光刻物镜建立了线条展宽模型和径向漂移模型，并分析了线条展宽和径向漂移的耦合关系，在此基础上分别建立了线条展宽补偿模型和径向漂移补偿模型。

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。