求解

Within this context, four specific areas are addressed:(1) By means of finite integration technique, a new kind of the first order partial difference equation is derived from the original disperse transmission line equation of the uniform waveguide's. As it is the kind of one dimension Dirichlet's boundary problem, it is convenient for us to solve this equation from the leapfrog scheme. Because computation is carried out in one dimension, both high calculation efficiency and precision have been obtained in this method. Meanwhile, this method provide us a different selection to simulate the transient response of waveguide with non-simplical, for examples cylinder and elliptic waveguide, and avoid solving the second order equation, or using finite difference time domain to simulate a three dimension problem, sometimes the latter precision is not satisfied with the need, or low efficiency.

在这一研究内容下，主要研究四个方面的问题：(1)在完成金属波导传输线方程时域形式的基础之上，应用有限积分技术，把波导特征模式的色散传输线方程，化简为一组新的一阶偏微分方程组，该边值问题属一维Dirichlet边值问题，从而便于用蛙跳格式求解，由于是在一维中计算，该方法具有很高计算效率和精度，从而避免了以往为得到金属波导中特征模的时域响应特性，须要求解二阶方程，或用时域有限差分方法求解三维问题的方法，对于后者来说，计算有时是不准确的，或是很耗时的例如计算诸如圆波导、椭圆波导等其它复杂形状的波导。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.Combined with exact non-differentiable penalty function,a new chaos genetic optimization algorithm is presented.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

A class of bilevel multi-objective programming was converted into the problem of equivalent single-level multi-objective programming. Then a new chaos genetic optimization algorithm was presented by using the inversion property of genetic algorithm and the ergodic property of chaos optimization method and combining with the exact l_1 penalty function.

针对求解一类二层多目标规划问题，首先将其转化为等价的单目标规划问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

By doing so, the application of SDTFM is extended to random geometrical plane region. Compared with FEM, the method has such the advantages as using fewer elements, faster convergence and highter accuracy of computation especially in dealing with high gradient stress.

与单纯用有限元法求解相比较，本文方法具有划分单元少、求解速度快、计算精度高等优点，特别在求解高梯度应力时，显示极大的优势。

By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degreewere obtained by determiningthe abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

用高次方程正项分解方法，将求解实系数高次方程非零实数根的问题，转化成求解两单调上升凹函数在平面直角系第一象限内交点横坐标的等价问题；给出了基于共享存储多指令流多数据流并行计算模型求解任意实系数高次方程全部实数根的大范围收敛性异步并行迭代算法，并分析了算法计算的复杂程度。

By reviewing of the existing algorithms in CGE model, such as Scarf fixed point method, Newton-Raphson method, Tatonnement method, Johanson-Euler method, projected Lagrange method, genetic algorithm and simulated annealing algorithm, this paper expound each algorithm's principle and main problems, pointed out their respective strengths and weaknesses, and finally made a detailed comparative analysis.

本文通过对现有的求解算法进行综述，包括传统的Scarf不动点算法、牛顿迭代法、Tatonnement算法、Johanson-Euler法、投影拉格朗日算法，以及近期兴起的遗传算法和模拟退火算法，扼要说明它们的求解原理及存在的问题，指出各自的优缺点并作了详尽的比较分析与探讨，对于致力于推进CGE建模与仿真求解技术瓶颈突破的研究者们具体重要的参考意义。

At the same time, the mix fixed point method and the nonsmooth Newton method for finite element method are also presentedBased on the Gauss point method for seepage problem with free surface, the non-smooth equations model for seepage problem is proposed as well as the mix fixed point method which belongs to the fixed mesh method.

本文根据近些年来求解可动边界的经验和非光滑分析的发展，建立了求解渗流自由面的数学模型，提出了求解渗流自由面的有限元混合不动点法和非光滑牛顿法。

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题，结合遗传算法良好的全局寻优特点，将该方法很好地引入到基本矩阵的求解中，并取得了良好的实验结果。（5）第五章在上一章的基础上，综合基本矩阵和透视投影中的交比不变性的特点，提出了一种基于基本矩阵和交比的生成新图象的方法，这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量，来生成新图象。

In Chapter 6,by changing Gauss elimination method of solving linear algebraicequations in software package based on MPROWs and PEROWs into the elimination byband matrix and the elimination by varied bandwidth,we obtained the solver of ordinarydifferential equations,which is suited to solve the partial differential equations by themethod of lines.

在第六章，我们将基于MPROWs及PEROWs的软件包中求解线性方程组的通常的高斯消去法修改为带状矩阵消元法及变带宽消元法，从而获得适合于用线方法求解偏微分方程的常微分方程求解器。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了