数值的

Chapter 3 is arranged in the following sequence to acquire the refractive index of the Iceland crystal for different values of the wavelength and the temperature.

在可见光区将四组不同的波长和对应的折射率代入常数表达式中，然后通过重复的迭代得到最佳的常数值；使用线形插值的办法得到了不同波长的折射率温度系数，从而可得出不同温度的 S el line i e r方程常数值，这样可以很容易求出各个温度下各波长所对应的折射率值。

In this paper, the 3D finite element method (3D-FEM) is employed to calculate the responses of the dual-laterolog in the high angle deviated wells. Moreover, under the consideration of the impracticability of the strict 3D inversion of the electrical logging, one method named the fast deconvolution, is given to correct the electrical logs which is calibrated by the forward method, 3D-FEM.

在考虑常规双侧向测井和正演数值模拟计算的基础上，利用三维有限元素法（3D-FEM）进行大斜度井中双侧向测井响应的数值模拟求解，并以不同倾角为条件验证了方法的有效性；进一步针对目前严格的电测井三维反演处理的不现实性，应用严格正演刻度下的快速反褶积处理方法进行定向井的电测井曲线校正。

An inhomogeneous Benjamin-Davis-Ono-Burgers equation including topographic forcing and turbulent dissipation is derived in terms of the quasi-geostrophic vorticity equation, an approximate analytic solution of the BDO-Burgers equation with a small dissipation is obtained, the time variations of mass and energy of the algebraic solitary waves are discussed, and finally, the forced BDO-Burgers equation is integrated numerically and the numerical solutions are given for a given basic flow with a weak shear and a localized topographic forcing.

利用包括地形外源和湍流耗散的准地转涡度方程导出了包含强迫项和湍流耗散项的非齐次强迫BDO-Burgers方程，求出了小耗散存在情况下BDO-Burgers方程的近似解析解，讨论了代数孤立波的质量和能量的守恒关系，最后，对给定的弱切变基本气流和局地地形强迫，数值积分强迫BDO-Burgers方程，求得了不同参数下的数值解。

In this dissertation, based on the discussed history of numerical method of structure-born sound radiation, the boundary element integral equation is deduced, and then the numerical method of sound radiation, the theory of radiation modal and the sound radiation sensitivity analysis is discussed in details.

本文在分析了结构声辐射数值方法的历史及其现状的基础上，详细推导了结构声辐射的边界积分方程，对声辐射的数值计算方法、声辐射的模态理论以及声辐射的灵敏度分析作了深入详细的探讨。

In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论，并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法，其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法，最后，介绍了两类数值求解非线性微分方程问题的方法。

Note that regularized problems are usually defined in an infinite setting and have to be discTetized for an implementation and there have been many comparatively adult methods of calculating singular system. Therefore, there is no need to avoid the calculation of singular system in inverse problems calculating of numeric value. Here TSVD Regularization Method is very simple and quite effective one.

考虑到反问题的数值计算需要将问题离散化，化为有限维的问题来进行处理，而对于有限维算子的奇异系的计算已经有了相当成熟的各种算法，因此在反问题的数值计算中没有必要避开奇异系的计算，此时TSVD正则化方法是十分简单并相当有效的正则化方法。

The results showed as followed :（ 1 ） The most important factor of atmospheric general circulation controlled and influenced the immigration of WBPH＇s populations was the patterns and the tempo-spatial changes of potential height field on 850hPa isobaric surface,（2） There were relative coincident air streams with a northern exposure on 850hPa isobaric surface during the migrations northward of WBPH and there were concurrent airflows with a southern exposure on 925hPa isobaric surface during the migration southward.

利用MM5中尺度数值预报模式和由PCVSAT系统接收的气象数据对2个典型的白背飞虱南、北迁降落过程的大气背景进行了数值模拟和客观分析，模拟和分析结果表明：（1）850hPa等压面上气压场的配置及其随时空的演变是控制和影响白背飞虱迁入的最重要的大气环流因素。

Based on the traits of the aspherical lens, the sunlight was focused on a very small spot, and then it was transferred into a plastic fiber by an aspherical lens and a selfoc lens. A formula for calculating the optimal length of selfoc lens is presented. The optimal assembly of the aspherical lens and selfoc lens was implemented by the aid of this formula. Therefore, sunlight is coupled into a plastic fiber efficiently.

根据非球面透镜垂轴球差小的特点把太阳光会聚到很小的光点，再利用长度约为1/4节距的自聚焦透镜改变光线的数值孔径使其满足光纤的数值孔径，通过一个计算公式来计算最佳的自聚焦透镜长度，实现非球面透镜和自聚焦透镜的最佳组合，把太阳光以较高的耦合效率耦合进塑料光纤。

Experiment Validation of Hydrodynamics Model of Drum Level The experiment rig was designed, and the experiment equipment was also set up. The experiment results show: As the validation of sloshing period under different levels, maximum error between the results of the experiment and the model is within±10%. As the experiment validation of model under in-and-output flux, changing trends of results of the model and the experiment are consistent, though there is some error in sloshing amplitude, the numeric error is within±20%.

2汽包水位水动力学模型的实验验证设计了实验台架，并建立了实验装置，实验结果表明：就不同水位情况下晃荡周期的验证而言，实验结果与模型计算结果之间的数值误差在±10%以内；就有进出口流量的情况下模型的实验验证而言，模型仿真结果的变化趋势与实验结果基本上是一致的，尽管晃荡幅度和相位上还是存在一定的误差，但其数值误差在±20%以内。

The choice of the best wavelet bases is one of the subjects attracting more attentions. This paper presents a new choosing method based on numerical analysis. Here the coding performance of wavelet bases is evaluated overall numerically by using several standards, which had been confirmed to be relating to image coding The best chosen wavelet bases fitting static images and video coding are respectively Daubechies's biorthogonal wavelet 9-7 and 5-3, which have been proved by coding experiments.

最佳小波基的选择是倍受关注的问题之一，本文提出一种新的基于数值分析的挑选方法，通过用几个已被证实是与图像编码密切相关的小波基评价标准对小波基的编码性能进行全面的数值评价，并经实际编码检验，选出了适宜静态与活动图像编码的最佳基分别为Daubechies双正交小波9-7与5-3。

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。