数值算法

The error analysis of asymptotic approximation of finite series expansion is also given. Our method avoids choosing the integral length of the reentrant comer, and can be used to calculate the charge on the conductor conveniently and efficiently. Numerical examples are presented to demonstrate the efficiency of the method.

本文算法克服了邓肯矫正需要选择角点积分区域的不足，有效地校正了导体角点奇异性引起的电容参数提取的计算误差，最后给出了算法的数值实验与分析结果。

The new method has advantage of asymptotic solution, numerical solution and BVT method. It is useful and efficient in practical application.

混合算法结合了渐近解、数值解和BVT法的优势，是一个实用、有效的算法。

It is related to the variational inequality problem, bilinear programming, nonlinear equation. So there is actual meaning and theories value to study how to solve it.In recent years, many algorithms for solving the generalized linear complementarity problem are put forward. But they basically belong to the traditional iterative methods, and may not be efficient since the computing time required for a solution is greatly dependent on the dimension, structure of the problem and the complexity of the algorithm used. Different from the traditional algorithms, the neural network has many advantages on calculations and real-time applications for its inherent massive parallelism and electric circuit implementation.

近年来，人们对广义线性互补问题提出了许多算法，但这些方法基本上属于传统的迭代法，由于它们的计算时间极大地依赖于问题的规模、维数以及所使用的算法，因此很难满足实时并行的要求，与传统数值方法不同，由于内在的并行分布处理信息的特点及电路实现的潜能，神经网络有着许多计算上的优势和实时性的应用，自Hopfield提出著名的人工神经网络模型-Hopfield神经网络，并将其成功应用于优化问题后，用神经网络求解优化问题得到了相当深入的研究，并取得了许多重要的成果。

Based on the harmonic algorithm, the conductivity reconstruction method and the corresponding algorithm in oblique slice were proposed. Then the numerical simulation was performed by solving the Neumann boundary problem, Ohm's law and Biot-Savart law to obtain the magnetic flux density used to reconstruct the conductivity.

然后通过数值仿真来实现提出的算法，首先进行了正问题求解，即利用Neumann边界值问题、欧姆定律和毕奥－萨伐尔定律逐步计算出重建电导率分布的磁通密度的一个分量，接着进行了逆问题求解，即根据重建算法得到了横截面和斜位面内的相对电导率分布，并对仿真的结果进行了分析和讨论。

The bit after bit comparison arithmetic with the hypostasis of bisection method is applied to real-time image processing.

为了完成图像分割，文章通过一种逐位比较的算法以确定图像边界，该算法的数学本质是利用二分法进行数值计算。

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

By analytic geometry method and solving quadratic equation,a computer simulation algorithm of digital projection under arbitrary scanning locus was proposed.The algorithm is based on the rules of attenuation of monochromatic X-rays.Through mathematical modeling and computer simulation,digital projections of ellipsoid and cylinder in circular and helix scanning modes are exemplified respectively,which are proved to be correct by FDK and PI-line reconstruction algorithms.

介绍了一种利用解析几何和求解二次方程仿真任意扫描轨迹下的锥束射线投影数据算法，该方法基于单色射线贯穿物体的衰减理论，通过数学建模与计算机仿真，给出了椭球、圆柱两种典型模型分别在单圆、螺旋线扫描轨迹下的投影数据仿真结果，并利用FDK和PI线重建算法进行验证，证明了该种数值仿真方法的正确性。

The proposed method could not only efficiently tell between the inward and outward region of the closed curve or surface, but also solve the numerical stability problems of other methods. These superiorities have a significant impact in improving the computational efficiency and stability of level set methods.

所提出的算法能够区分任意形状的闭合曲线或曲面的内外部，改进了以往初始化算法的数值不稳定缺陷，从而使水平集方法的计算效率和稳定性有了显著的提高。

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论，系统地分析环境振动识别方法的主要方法，讨论它们的优点和不足；建立结(来源：6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型，分析有限元模型与试验模型之间的相互关系；改进谐波识别中的MUSIC识别方法和相关函数识别方法，给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法，这个方法是多元谐波识别方法；提出直接识别结构的物理参数和模态参数的最小二乘方法，这个方法利用导数的近似值代替导数值，并运用最小二乘方法识别结构的物理参数，讨论导数近似值的选择方法，分析算法的收敛性；通过仿真计算和模型实验，研究高层框架结构的模态参数识别，验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性，算法的稳定性；从理论和试验两个方面分析和研究噪声对识别精度的影响，影响识别精度的因素，以及部分模态成分的模态参数不能够被识别的原因。

In order to keep the diversity of group and quicken the convergency of algorithm, a new selection operator was constituted as well.

将该算法用于辽河油田多口水平井的优化设计，数值结果表明该算法的有效性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。