数值稳定性

Lasers characteristic as a shock wave drive and the advantages of KrF laser are explained. Finally, the progress at home and abroad is enumerated.In chapter two, the basic principle of the EOS study is introduced. Specially, the impedance mismatch effect of the double-layer flyer is mentioned here. It is the primary theoretical basis of this paper.In chapter three, a one-dimension, three-temperature hydrodynamic code HYADES is introduced briefly. it is used to make a qualitative analysis about how the thickness of ablator affect the flyer velocities and stability.In chapter four, the experimental setup is described.

第一章为绪论部分，简要总结了状态方程研究的历史，激光作为冲击波驱动源的特点和KrF激光的优势，以及国内外的进展情况；第二章是本工作的理论基础，讨论了冲击波物理和雨贡纽曲线测量的基本原理和方法，重点介绍了激光飞片法的特点、关键要素和双层飞片的阻抗失配效应，鉴于KrF激光短波长和长脉宽的特点，我们拟对双层飞片的特性展丌研究工作，为实测状态方程做好准备；第三章简单介绍了一维三温流体力学数值模拟程序Hyades并运用它进行了若干状态方程实验的计算和设计，进行了烧蚀层厚度对飞片速度、稳定性的影响的定性分析；第四章是实验平台描述部分，介绍了光束平滑化技术，靶的制作，条纹相机的原理和使用，系统同步控制以及光学记录速度干涉仪系统的简单原理和构成。

Laser's characteristic as a shock wave drive and the advantages of KrF laser are explained. Finally, the progress at home and abroad is enumerated.In chapter two, the basic principle of the EOS study is introduced. Specially, the impedance mismatch effect of the double-layer flyer is mentioned here. It is the primary theoretical basis of this paper.In chapter three, a one-dimension, three-temperature hydrodynamic code HYADES is introduced briefly. it is used to make a qualitative analysis about how the thickness of ablator affect the flyer velocities and stability.In chapter four, the experimental setup is described.

第一章为绪论部分，简要总结了状态方程研究的历史，激光作为冲击波驱动源的特点和KrF激光的优势，以及国内外的进展情况；第二章是本工作的理论基础，讨论了冲击波物理和雨贡纽曲线测量的基本原理和方法，重点介绍了激光飞片法的特点、关键要素和双层飞片的阻抗失配效应，鉴于KrF激光短波长和长脉宽的特点，我们拟对双层飞片的特性展丌研究工作，为实测状态方程做好准备；第三章简单介绍了一维三温流体力学数值模拟程序Hyades并运用它进行了若干状态方程实验的计算和设计，进行了烧蚀层厚度对飞片速度、稳定性的影响的定性分析；第四章是实验平台描述部分，介绍了光束平滑化技术，靶的制作，条纹相机的原理和使用，系统同步控制以及光学记录速度干涉仪系统的简单原理和构成。

As growth rates are near the critical velocity of absolute stability limit by the calculation according to M-S theory, it must be considered that deep cells may keep their cellular structure.

当凝固速度近绝对稳定临界转变点时，KGT模型和Hunt-Lu数值模型与试验结果有较大的差别，其原因是这些模型的计算均未考虑到深胞晶在速度高于MS理论计算的绝对稳定平界面极限后仍能保持自身稳定性而造成的； 8。

The new method is a combination of characteristic approximation to handle the convection part, to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion, a smaller time truncation is gained at the same time, and a mixed finite elementspatial approximation to deal with the diffusion part, the sealer unknown and the adjoint vector function are approximated optimally and simultaneously.

此方法即为对方程的对流项沿流体流动的方向即特征方向进行离散，从而保证格式在流动锋线前沿逼近的高稳定性，消除了数值弥散现象，并得到了较小的时间截断误差；另一方面，对方程的扩散项采用混合元离散，可同时高精度逼近未知函数及其伴随向量函数，理论分析表明，此方法是稳定的，具有最优的L~2逼近精度。

The characteristic approximation is used to handle the convection part along the direc-tion of fluid namely characteristic direction to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion; The mixed finite element spatial approximation is employed to deal with diffusion part and approximate the scalar unknown and the adjoint vector function optimally and simultaneously; In order to preserve the integral conservation of the method, we introduce the modified characteristic method.

该方法对方程的对流部分沿流体流动的方向即特征方向离散以保证格式在流动的锋线前沿逼近的高稳定性，消除数值弥散现象；对方程的扩散部分采用最低次混合有限元方法离散、同时以高精度逼近未知函数及未知函数的梯度；为保证方法的整体守恒性，在格式中引入修正项。

Based on the second- and fourth-order compact difference formulas for second-order derivatives and the idea of weighted average, two classes of the alternating direction implicit method are proposed for solving two-dimensional wave equation. The methods are of accuracy O (T^2+h^4) and O (T^4+h^4) respectively. Stability conditions are obtained by Fourier analysis method.

基于二阶微商的四阶紧致差商逼近公式及加权平均思想，提出了数值求解二维波动方程的2种精度分别为O(т^2+h^4)和O(т^4+h^4)的交替方向隐式格式，以及与其相匹配的第一个时间层的同阶离散格式，并且通过Foulier方法分析了格式的稳定性。

With the use of analytical and numerical analysis to analyse the stability and attractability of the network using the two learning rules, the associative memory of the network using higher-order projection algorithm is better than that of using higher-order Hebbian algorithm.

通过在解析和数值两方面对这两种学习规则下网络的稳定性和吸引性的分析，可以看出高阶投影规则下网络的联想记忆性能比高阶Hebb规则下的要好。

Firstly, The sufficient con-ditions of the existence and uniquity of the positive equlibria by applying functional derivative isobtained; Secondly, the global attractability of the positive equlibria is investigated by charateristicroots theory and oscillation theory; Thirdly, regarding the delay as a parameter, conditions of theexistence of Hopf bifurcation and the peridic solution, furthermore, the form of the approximateperidic solution are obtained; Finally, Some specific examples are given and the solution diagrameappears by Matlab.

首先利用导数性质，得到了该模型正平衡态存在惟一性的充分条件；其次，利用特征值和振动性理论得到了该模型正平衡态全局渐近稳定性充分条件；然后，应用Hopf分支理论证明了该模型Hopf分支及近似分支周期解的存在性，并给出了周期解的近似表达式；最后，借助于MATLAB数学软件，举例并绘出了模型数值解的拟合图象，验证了文中定理条件的可行性。

People have proposed many different control method to realize the chaos synchronization. This article has conducted the thorough research to the chaotic neural network, introduced the chaos neural network synchronization method. Based on the linear matrix inequality technology and Lyapunov stability theory, we have Studied the synchronized controller design method of the global synchronization, the non-linear global synchronization and the global exponential synchronization. Here we have proposed one kind of synchronization algorithm, through which might obtain the gain matrix quickly and automatize.

本文对混沌神经网络进行了深入的研究，介绍了混沌神经网络同步方法的发展及研究现状，基于线性矩阵不等式技术和李雅普诺夫稳定性理论，分别研究了全局同步、非线性全局同步和全局指数同步的同步控制器实现方法，提出了一种实现混沌神经网络同步的算法，通过该算法可以快速得到增益矩阵的形式，实现混沌系统的同步控制，数值仿真验证了算法的有效性。

Instable flowing of plastics in extrusion die head often occurs as the sprue in the die head for plastic profiled bar inner rib is designed excessively dependable on experiences.

针对塑料异型材挤出模头内筋流道设计中过多依赖经验，造成模头作业不稳定的状况，提出了稳定性设计问题，并以实例介绍了运用计算机数值模拟技术辅助设计内筋流道结构参数的过程，提供了一个可行的内筋流道稳定性设计方法。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。