数值方法

A method of integrating infinite integrals which occur in axisymmetrical field in eddy current testing is presented. Subtraction of asymptotic terms is proposed to speed up the truncation process of an infinite integration interval, which greatly improves the integration of infinite integrals.

本文对涡流检测中解析求解轴对称场时遇到的无穷积分给出一种简单有效的数值积分方法，提出一种改进积分收敛性的方法，加速了无穷积分的截断，显著提高了轴对称场的计算效率。

The specific method comprises the following steps: base address randomization treatment is given to the dynamic link library that needs loading to get a base address value after randomization treatment; the parameters used for loading the initial base address of the dynamic link library that needs loading are modified so that the modified parameters can point to the base address value after randomization treatment.

本发明实施例提供一种地址处理方法和装置，具体方法包括：对当前需要加载的动态链接库进行基地址随机化处理，得到所述随机化处理后的基地址值，修改用于加载所述当前需要加载的动态链接库初始基地址的参数值，使该修改后的参数值指向所述随机化处理后的基地址值。

This thesis carries on research to a class of nonlinear Schrodinger Equation with wave operator of initial value periodic problem.

本文针对一维带波动算子的Schrodinger方程周期初值问题进行数值研究，对上述方程首先构造了守恒的半离散格式，然后将p次Hermite插值方法与有限差分方法相结合构造了差分正交样条配置格式，并证明这两个格式均为稳定和收敛的格式。

In Chapter Five, we compare numerical integration of the reproducing kernel with the integral equation of complexified trapezoid through a detailed solution to the initial-value problem of ordinary differential equation to exemplify that the method of interpolation spline integrating and the reproducing kernel is not only feasible in theory but also significant in pratice.

在第五章，我们通过具体的求解一个常微分方程的初值问题，把再生核方法的数值积分和复化梯形积分公式相比较，说明样条插值和再生核相结合的方法不仅是理论上可行的，而且还具有重要的实际意义。

The numerical results demonstrate that the MEI coefficients obtained using the technique,which takes dipole layer excitation as the "Metron" and the Green function in free space as the integral Kernel,are of higher precision over other techniques.

数值结果表明，利用电偶极子层激励作为测试子和自由空间格林函数作为积分核确定MEI系数的方法，比之其它方法具有更高的精度和明显的优点。

In the second chapter, modefied Taylor\'s expansion method is studied for solving Fredholm-Volterra integral equations, several illustative examples are given to show the efficiency of the proposed method. More over, by simple algebra, the modified Taylor\'s expansion can also be used to solve integral equations with weakly singular kernel, and the corresponding accuracy is dramatically promoted.

第二章重点讨论了应用Taylor展开方法解Fredholm-Volterra积分方程，通过数值例子，表明了该方法的简单有效性，特别应用于具有弱奇异核积分方程获得了更高精度的解。

The research achievement are acquired as follows: 1From mathematical models for inverse scattering in two dimensional homogenous media including Dirichlet, Neumann, Robin,all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill-posed integral equation and indicator function method are formulated for the diverse of boundary identification. It is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given.

本研究取得了如下研究成果： 1）在二维均匀介质逆散射各种边界识别的数学模型（包括Dirichlet，Neumann，Robin，各种可能的混合边界问题，裂纹问题）下，分别考虑了正散射问题和逆散射问题，推导了上述各种边界识别的不适定积分方程以及指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界，并给出了一些数值实验。

Through the analysis based dislocation theory and MD simulations,the connection between atom properties and macroscopic strain rate sensitivity of metals has been established by using Orowan\'s relationship as the bridge. The influences of interatomic potential and atomic mass on the stress dependence of dislocation velocity of FCC metals and strain rate sensitivity have been examined through MD simulations of a moderate scale.

依据位错运动的Orowan关系和研究位错速度对应力依赖关系的分子动力学方法，提出了研究金属原子性质与其应变率敏感性关系的分析方法；然后开展分子动力学模拟来研究位错速度对应力的依赖关系，依据数值模拟结果分析原子性质对金属应变率敏感性的影响。

In this paper, the supply chain stream of funds has been classified into the internal stream of funds and the exterior stream of funds. The process of inventory cost flowing in the supply chain management is analyzed thoroughly. A mathematical model of the two-echelon inventory system taking account of price discounts is developed. A simple and effective approach is proposed for finding the optimal order number. The solution procedure is shown to be effective with a numerical example.

该文把供应链资金流区分为内部资金流和外部资金流，对供应链管理中的库存费用流动过程进行了分析；建立了考虑价格折扣的两级供应链库存数学模型，并运用一种简单而有效的逼近方法求出了模型最优解，确定了供应链中各企业的最佳订货批量；最后用数值实例说明了该方法的有效性。

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐