数值算法

Mathematical models algorithmization can realize easily through choosing corresponding models and computer language.

在算法实现过程中，选择数值稳定性高、误差可以控制、计算工作量少和尽可能节省内存空间的算法。

The numerical ex-periment has shown that the number of iterations depends significantly on the positiveparameterα,β. But, in general, it is di?cult to choose a proper parameterα,β. Thuswe propose new self-adaptive alternating direction method which adjusts the scale pa-rameter automatically per iteration based on the message of the iterates. We have provedthe convergence of the method under mild assumptions.Finally, we present some numerical results.

对于我们提出的新交替方向法，数值实验表明，迭代的步数与时间与所取的参数α，β有关，然而我们很难去选择一个合适的参数α，β，因此我们提出新自适应交替方向法，对其中的参数α，β进行自适应调整，这种自适应算法根据每步迭代信息自动地调整参数α，β，并证明了算法的收敛性。

The result from the three simulation model continues that two step synthesis method is one effective ray tracing method.Because it can accurately persue the least travel time of ray fast and have very strong antinoise nature, so it can be used to the complex medium tomography analysis.

通过构造的数值模型验证了改进算法，表明该算法是一种有效的射线追踪方法，能快速准确的追踪射线的最小走时数据并且具有很强的抗噪性，可以应用到复杂介质的层析成像中。

Convert relationship of prototype robot joint angle and equivalent model joint angle is presented based on the method of kinematics inverse solution. The Jacobian algorithm of redundant robot for achieving effective joint excursion is studied, which is fit for digital calculating. The grads projection algorithm of redundant robot multi optimizing capability function's proportion factor is deduced. The issues of apery arm robot singularity and joint self-movement are researched. The simulation experiment result of apery arm joint self-movement and line movement is presented.

因为七自由度拟人手臂机器人的建模比较困难，采用了在等效模型下求解其运动学逆解的方法，给出了原机器人机构关节角与等效模型关节角之间的转换关系；提出了一种适于数值计算的有效的求解有关节偏置的冗余度机器人Jacobian的算法，并在此基础上推导了冗余度机器人多优化性能指标函数的均衡比例因子梯度投影算法；研究了拟人手臂机器人的奇异问题和关节自运动问题；给出了拟人手臂进行关节自运动和进行直线轨迹跟踪的仿真实验结果。

The fluid flows and heat coupled calculation method is used. The standards two equations turbulence models, velocity and pressure coupled arithmetic are used.According to the results of numerical simulation analysis the local coefficient distribution changes along the pin fins.Study the effection that its height and shape of the pin fins have on the average Nu and the average number of pressure loss coefficient Eu.The circle-shaped and elliptic-shaped pin fins have different circumcolumnar regional,therefore the mixed conditions are effected.

数值计算中采用标准双方程湍流模型，速度压力耦合算法；根据数值模拟的结果分析沿扰流元的局部换热系数分布变化，研究其扰流柱高度及形状对扰流柱通道平均努赛尔特数Nu和平均压力损失系数Eu的影响，圆形和椭圆形扰流柱的绕流尾涡影响的区域的不同对扰流柱群内流体混合状况的影响。

We mainly discuss three types of inpainting models: the Bayesian model, geometric models and PDE models with emphasis on investigating TV inpainting, elastica inpainting and Mumford- Shah inpainting of PDE models. After studying the level set method and its applications to image processing, we concentrate on discussing the inpainting model...

在介绍水平集法及其在图像处理方面的应用之后，进一步深入地讨论了一类图像修复的变分模型—Mumford-Shah-Euler模型，在此基础上利用水平集法，提出MSE模型的数值逼近的算法格式，并对一些具体的图像修复问题开展数值模拟和修复，深入分析了MSE模型及水平集法在图像修复中的优缺点，这些结果在理论和实际应用中都很有意义。

This paper aims at detecting bursts of both monotonic and non-monotonic aggregates over multiple windows in data streams.

为了在数据流上检测多个滑动窗口上的单调聚集函数值和非单调聚集函数值的突变，提出了基于分形技术的构建单调搜索空间的突变检测算法。

The key elements and techniques of the numerical wind tunnel are studied and analyzed.The basic idea of CFD is expatiated and the whole working process is presented.Discrete methods of the control equations based on the finite volume method and the PISO algorithm about the fluid numerical computation are researched also.

对基于CFD的数值风洞关键基础和技术进行研究分析，阐述了CFD的基本思想，研究了基于有限体积法的控制方程的离散方法以及流场的数值求解的PISO算法。

In the simulation of gas flow, the finite volume method is selected. The three-dimensional time averaged N-S equation, the RNG k -ε turbulent model and the mixed mesh are used. Then the Lagrange particle track model and the uniphase coupling method are used to simulate the gas-solid two phase flow field in the centrifugal fan.

在气相流场的数值模拟中采用了有限体积法和混合类型的网格，以三维时均N-S方程和RNGk-ε两方程湍流模型为基础，利用SIMPLE算法，对离心式通风机进行了内部流场的数值模拟。

At the same time, variational equations, their finite element formulations and numerical convolved integration algorithm of the model in current configuration usually called co-moving coordinate system are given.

基于非线性几何场论，建立了材料非局部连续模型、变分方程及相应的实时拖带系大变形有限元数值模型，设计了这一模型的数值卷积算法。

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。