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This multigrid solver is proven to provide the same accuracy as the finite element solution with respect to energy norm, and the computational complexity is suboptimal.

并证明用共轭梯度法作迭代算子时，该方法可以达到能量模意义下的最优，计算复杂度接近最优。

A high accuracy finite volume element method was given based on cubic spline interpolation for linear and nonlinear twopoint boundary value problems of ordinary differential equations. The computational scheme was derived and the property of positive type was discussed. Further we presented the convergence analysis and the scheme was proved having fourth order error estimate in discrete energy norm.

针对常微分方程线性和非线性两点边值问题，提出了基于三次样条插值的高精度有限体积元方法，给出了具体计算格式，讨论了格式所具有的优良性质--正型性，并应用能量方法给出了收敛性分析，证明了格式按照离散能量模具有四阶精度。

The computational result is consistent with the reported experiment phenomena and the minimum energy principle.

计算结果与文献中的实验现象一致，并且符合最小能量准则。

The effect of switching modes on the entrancement,combustion and billet heating process in furnace were analyzed numerically,and the computational results were compared with production records and onsite measurement,which verified the practicability of this CFD system.

结果表明：采用分段同侧换向控制的HTAC加热炉能获得很好的流场和温度场分布，基本满足高质量的钢坯加热需要，但该炉在生产条件下的温度制度存在不合理之处，在今后设计和操作中应进一步优化和改进；全同侧换向控制的火焰布置方式不利于钢坯的均匀、快速加热；而采用交叉换向控制的火焰布置方式可以改善加热炉内的流场和温度分布，更有利于满足钢坯的加热工艺要求。

In order to improve the disinfect efficiency, the flow inside the ultraviolet reactor and the effect of ultraviolet disinfect epiphyte was investigated, using computational fluid dynamic software package.

为了提高紫外线消毒器的杀菌效果和杀菌均匀性，利用fluent软件模拟紫外线消毒器内的流线和辐射剂量分布，并由此设计了湍流式紫外线消毒器。

Epsilon machine, a new computational mechanics, can discover hidden pattern from the response time series.

机是一种新的计算力学理论，它能从时间序列中发掘系统的隐含模式。

In the simplified model, the governing equation of heat conduction is discretized using implicit finite difference method, and the computational domain is discretized using cell centered scheme, and the solution of Maxwell equation is used to determine the distribution of the internal heating sources.

使用的简化模型中热传导方程的离散采用隐式差分法、区域的离散采用内节点法，并以Maxwell方程的解确定内热源分布。

From finite difference equation of unsteady-state heat conduction ,according to vonNeumann method about scheme stability,the explicit scheme stability condition of two dimension computational heat conduction was given.

从非稳态导热的离散方程出发，根据VonNeumann的格式稳定性判别方法，给出二维导热数值计算显式格式的稳定性条件。

By lifting the table control system, we propose the state space model of the lifted system and H〓-norm equivalent discrete system, subsequently, we discuss computational methods of the discrete controller. The analytic and design results indicate that the methods in this dissertation are feasible and effective.

推导给出了转台控制系统的提升化状态空间模型及H〓范数等效离散控制系统的状态空间模型，给出了离散控制器的详细计算方法，并对转台控制系统的频率响应和时间响应进行了分析。

Jiu Ding,Aihui Zhou,Statistical Properties of Deterministic Systems Statistical Properties of Deterministic Systems discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation.

摘要本书介绍的是确定性离散动力系统统计性质的基本理论与计算方法，首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius—Perron算子的泛函分析与数值分析；最后本书介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了