查询词典 solve the problem

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

The environmental problem is an economic question in fact.To solve the environmental problem and realize the sustainable development strategy we must utilize important economic means ---- the system of charge in blowdown.

环境问题实质上就是经济问题，解决环境问题，实现可持续发展战略就必须利用重要的经济手段---排污收费制度。

While the problem is solved by IPM, KKT (Karush-Kuhn-Tucker) matrix is a block diagonal bordered matrix. To solve this special kind of large-scale nonlinear programming problem, a predictor-corrector decomposed IPM is proposed.

针对这样一类特殊的大规模非线性规划问题，提出了预测——校正解耦内点法，采用分块LU分解技术和分块三角矩阵求解实现预测——校正环节与解耦技术的融合。

The thesis is organized as follows:In Chapter 1,a new partial differential equation model for Spontaneous Potential log in heterogeneous formations is introduced.At the same time,the existence and uniqueness of weak solution to the problem are proved,and the problem of resistance identification in SP log is studied.Furthermore,a jump condition capturing finite difference scheme is proposed and applied to solve such elliptic interface problems.The effects of various factors on SP response,which include objective layers resistivity,bed thickness,bore-hole diameter,invasion and water-flooded zones and so on,are investigated quantitatively by the proposed method, and satisfactory results are obtained.

具体安排如下：第一章首先建立复杂地层中自然电位测井的偏微分方程数学模型，证明了该边值问题弱解的存在唯一性，在此基础上研究了自然电位测井电阻率识别问题：然后发展了用于求解椭圆交界面问题的间断捕捉有限差分方法，利用该方法定量分析了目的层电阻率、地层厚度、井径、侵入带和水淹层等因素对自然电位测井响应的影响，取得了满意的结果。

When problem scale is small, we can adopt many classical algorithms such as linear programming integer programming, branch and bound method to solve this problem.

当问题规模较小时，可用线性规划、整数规划、动态规划等经典算法求解。

The traditional Canonical Correlation Analysis based image recognition methods always encounter the Small Sample Size problem,which is due to the size of sample and less than the dimension of sample.In order to solve this problem,a new supervised learning method called Two-Dimensional CCA（2DCCA） is developed.

针对传统典型相关分析（Canonical Correlation Analysis，CCA）的图像识别中出现的小样本（Small Sample Size，SSS）问题，提出二维典型相关分析（Two-Dimensional CCA，2DCCA）。

The research method is an circle action research model of "discover problem to solve problem".

我们以国立花师实小六年级两个班学生为研究对象。

It is obviously that a planar point set has innumerable circumscribled circles. To get a minimum circumscribled circle, a mathematical model is built to transform the problem of getting a minimum circumscribled circle to the problem of optimizing function and to solve the function optimization with genetic algorithm.

为求得最小的包容圆，建立了求平面点列包容圆的数学模型，将求最小包容圆问题转化为函数优化问题，并用遗传算法解决了这个函数最优解的求解问题。

For the problem, City Council is considering国土房管programming to solve the problem.

对于这个问题，市议会正在考虑国土房管编程来解决这个问题。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切