数值算法

Then a filled function method for the integer programming problem is proposed,which tries to find a better discrete local minimal solution of the problem by minimizing a filled function.

该方法通过寻找填充函数的离散局部极小解以期找到整数规划问题的比当前离散局部极小解好的解。该文的算法是直接法，数值试验表明算法是有效的。

By using accelerating Aitken method in iterative method of nonlinear equations, a new modified method is given. The method is applied to modified Newton method, thereby a new method is developed, which is faster and stable. Also, its algorithm is given. Numerical results show that the new method is very efficient.

通过对非线性方程组的迭代法引入Aitken加速技术，设计了一种非线性方程组的迭代解法的加速方法；将该方法与M步Newton法相结合，得到一种收敛速度快而且计算稳定的方法，并给出了具体算法；数值结果表明了新算法是有效的。

In Chapter 2, a nonmonotone trust region method with a line search technique is presented. Unlike traditional trust region methods, our method does not restrict a monotonic decrease of the objective function value at each iteration, but only requires an average of the successive objective function values decreasing.

第二章，我们提出了一类带线搜索的非单调信赖域算法，与传统的信赖域方法不同的是：我们的算法不要求目标函数值在每一步都有充分下降，而是要求目标函数的连续平均值充分下降。

A global gravity field recovery based on energy balance approach using CHAMP kinematic orbits is presented. A method combining the Newton's numerical differential formula and the remove_restore procedure for determining kinematic velocities is developed.

介绍了利用CHAMP几何法轨道恢复地球重力场模型的基本原理和算法，提出了基于牛顿数值微分公式并辅助移去-恢复方法计算卫星速度的算法。

Data structure is an important curriculum for algorithm designing and training in the university. The aim is to develop the student's algorithm designing and programming ability by discussing computer operating objective and the relation between them and operations in the non-numeric problem.

数据结构是高等学校一门重要的算法设计训练课程，旨在通过研究非数值计算的程序设计问题中计算机操作对象以及他们之间的关系和操作等相关问题，提高学生的算法设计和程序设计能力。

According to theoretical analysis, it is convergent and has good convergence if the coefficient matrix is a nonsingular matrix. Moreover, examples have been implemented on HP rx2600 cluster, and the data verify that the numerical results of this algorithm coincide with its theoretics.

在理论上，算法只要系数矩阵A是非奇异矩阵就能够收敛，而且有较好的并行性，在HPrx2600集群上进行数值试验，验证了算法的计算结果与理论相一致。

Numerical results show that our algorithm is more effective than previous algorithms.

数值实验表明，对这类问题我们的算法比现有的算法更有效。

Finally, by carrying out a series of numerical experiments, we compare the new algorithms with the existing algorithms, and also testify our theoretical conclusions.

最后，通过数值实验，本文不仅比较了所提出情景树生成和约减的新算法与已有算法的优劣，而且验证了论文中所推导出的一些理论结果。

Forth chapter we symbolize numerical time series by clustering its attributes.

数值实验表明了这两种算法的效率高于已有的算法。

Three different numerical iterative algorithms are developed and the accuracy and stabilities of them are compared. Tension and compression instabilities are studied and effects of Conservative Smoothing Approach and artificial viscosity on stabilities are discussed. Based on Taylor series expansion, Modified SPH method is proposed. The discrete forms of the function and its first derivative estimations of the kernel function are deduced in both one and two dimensional space.

讨论了三种不同的数值迭代算法对计算精度和稳定性的影响；分析了不稳定性产生的根源，包括拉伸不稳定和压缩不稳定，探讨了保守光滑算法和人为粘性对稳定性的影响；在Taylor展开的基础上提出了一种修正的SPH方法，并推导一维和二维情形下函数的核估计和函数的一阶导数核估计的离散形式，结果表明，二维情形下MSPH方法可以很好的改善边界粒子的计算精度。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。