数值算法

The last one is to study the relation between the discrect process and the iteration theory for some derivative equations(for example,equations with conservation law) and to make benefit analysis of methods.

结合具体问题的数值求解，探求迭代理论和实际离散方法的有机结合，研究算法的效益分析。

It is shown that the method is locally one-step Q-superlinearly convergent under certain condition.

数值实验表明，本文提出的两种新算法是有效的。

Based on which then digesting and absorbing, we should develop the effective dynamic simulation software based on Spatial Operator Algebra,for the sake of providing effective simulation software for the elecmechanical project sphere of

0算法的程序实现，本文在Mathemati.a环境下编制了链式多体系统空间算子代数符号分析程序，并用其推导了若干算例动力学方程的显示表达；此外，本文还在Delphi环境下编制了链式多体系统正反向动力学数值分析软件。

An optimal control policy is derived and an algorithm for computing an optimal control policy is presented.

在此条件下，提出了一个最优订货模型和求解算法，并用数值算例讨论分析了不同退货率τ、库存成本C和缺货损失C对销售商的最优订货量和期望收益的影响。

This paper discusses the analog source to quantify the optimal algorithm, and use C language implementation of the Gaussian source at different quantization levels under the uniform quantizer and the optimal non-uniform quantization step size of the numerical calculation.

文中探讨了模拟信源量化的最优算法，并用C语言实现了高斯信源在不同量化电平下均匀量化和非均匀量化的最优步长的数值计算。

Numerical simulation example shows that, under satisfying constraint conditions of equation of state, it is feasible to obtain the optimal trajectory by optimal control and genetic algorithm.

数值仿真算例表明，在满足状态方程约束条件下，通过最优控制解法和遗传算法求取最优弹道方法可行。

Furthermore, buckling effect factors and their influence law are exploited. Finally, combining the character of piles foundation with high bridge piers with engineering practice, four optimal mathematic models are proposed and flow diagram of optimization analysis is fulfilled by the computer optimum program. A numerical example is analyzed to get optimal solution by using this program. Meanwhile based on the optimal model with buckling coefficient as the objective function, parameter variables are discussed about their effect rule toward the optimal value of objective function.

最后，针对高桥墩桩基础的特点，在基本优化模型的基础上，根据不同的目标函数建立了相应的优化模型，给出优化设计算法流程图，编制了相应的优化计算程序；并根据高桥墩桩基的工程实际设计了一个数值算例，采用本文编制的优化计算程序对该结构进行优化，得到了优化后的最优解；同时，采用高桥墩桩基屈曲系数作为目标函数的优化模型进行因素分析，初步探讨了参数变量对目标函数最优值的影响规律和程度。

In this paper,a new method for estimating the global optimum value in a global optimization problem is proposed .

给出了一种全局最优化问题的全局最优值估计的新方法；该方法通过求一个非线性方程的根使目标函数值逐步减小，因此该方法具有下降算法特征。

The stability and convergence of the fully discrete solutions are proved and the convergence order is also given.

从数值实验上也验证了该算法的可行性和高效性，对非定常N-S方程提出了一种新的全离散TGM：空间离散用标准FEM，时间离散用Crank-Nicolson格式，证明了全离散解的稳定性与收敛性。给出了收敛阶。

Based on depth averaged mathematic model of flow and pollutant tr ans portation in non orthogonal curvilinear coordinates , the k-ε double equat ions' turbulence model and the coupling arithmetic of velocity water depth are a dopted, which are applied to the numerical simulation of the flow and the contam ination diffusion transportation.

基于非正交曲线坐标下水流与污染物扩散输移的深度平均数学模型，采用k -ε双方程湍流模型和速度—水深耦合算法，应用于实验室连续弯道的水流及污染物扩散输移的数值模拟，分别计算了流场及岸边和中心污染物排放的浓度场，得到与实测值吻合良好的计算

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。