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Nodal and edge elements. Galerkin's method and variational formulations. The Method of Moments.

一维、二维和三维的有限元法,节点和边界单元,Galerkin方法和变分原理。

The GKS stability theorem for one-dimensional model of hyperbolic initial and boundary value problem, Trefethen's explanation and extension based on the concept of group velocity are generalized firstly. Another possible high-frequency instability mechanism in numerical realization of MTF is pointed out based on his explanation and extension, namely, coupling effect of outgoing harmonic wave along one direction and node motion in the other directions can reverse the energy propagation in multi-dimensional discrete grids.

本文概述了—维双曲型偏微分方程组初边值问题数值稳定性的GKS定理及Trefethen基于群速度概念对这一定理的解释和推广;并应用Trefethen的解释和推广指出了MTF在数值实现中可能出现的另一种高频失稳机制,即在多维离散网格中,沿某一空间方向的外行简谐波,由于与其他空间方向节点运动的耦合效应可以使能量传播方向反向。

That urine and hexamethylenetetramine taking the place of sodium carbonate as the precipitants could also produce 1D Co3O4 showed lights on understanding the mechanism of formation of 1D structures.

以六次甲基四胺、尿素等代替Na2CO3溶液作为沉淀剂,均得到了一维纳米结构的Co3O4,表明CO2-3在水镁石CoO2层间的嵌入是得到一维结构水热产物的关键。

Image sequence of images for each frame along the horizontal and vertical direction integral projection formed two integral projection Vector and applications based on the one-dimensional gradient estimated translation technology, thereby obtaining accurate two-dimensional space on the volume of translation.

将图像序列中的每一帧图像分别沿水平和垂直方向进行积分投影形成两个积分投影向量,并应用基于梯度的一维平移估计技术处理,从而精确地获取二维空间上的平移量。

We applied the Gross-Pitaevskii equation for BEC condensate in 1D optical lattice. For the character of the periodic potential from optical lattice, the Bloch function is used to expand our order parameter to get a 1D nonlinear equation of the envelop function.

我们应用Gross-Pitaevskii equation 来描述在一维光晶格中的玻色-爱因斯坦疑聚态,基於光晶格位能的周期性,我们用Bloch function 来展开秩序参数可得到封包函数的一维非线性方程式。

The content of this course includes cost benefit analysis method, the basis of optimization theory, one dimension optimization,nonrestraint multi-dimension optimization theory, linear programming, nonlinear programming, dynamic programming, Monte Carlo Method.

课程内容包括工程系统决策分析内容和步骤,费用—效益分析方法及其应用,最优化方法基础,一维搜索方法,无约束的多维搜索方法,非线性规划算法及其应用,线性规划算法及其应用,动态规划及其应用,蒙特卡洛方法及其应用等。

Early diagenesis has broad and bright prospects not only in theory but also in application, and three future trends are predicted. First, the area of early diagenesis study will be enlarged widely to lake, delta, soil. Then, the stable or nonstable one-dimensional, two-dimensional or three-dimensional multi-layer early diagenesis models will be established, and the methods and theoretical achievements of early diagenesis will be widely applied in environmental sedimentology to supervise and treat environment pollution.

早期成岩作用研究具有广阔的发展前景,未来可能在以下3方面快速取得突破:研究区域将进一步扩大,湖泊、三角洲及土壤中的相应研究将得以加强;多层的稳态或非稳态的一维、二维或三维的早期成岩数学模型将得以建立;其研究方法和理论成果将被广泛应用于环境沉积学及环境监测和治理等领域中。

Sequence in the third middle member of Shahejie Formation in a well of Shengli oilfield, the SP data were processed by two-scale wavelet transform using quadric spline wavelet. With this transformation the logging data were expended from one dimensional depth space into two dimensional depth-scale space and wavelet coefficient curves on different scales were obtained.

以胜利油田某井沙三上亚段第Ⅲ层序为例,选用二次样条小波,对该井段SP测井数据进行二进小波变换,将一维测井数据拓展为二维深度-尺度空间,得到不同尺度上的小波系数曲线。

One,two and three dimensional spectra measured by this system were demonstrated.

文中给出了这种系统在实验中完成一维、二维和三维谱数据获取和显示的成功实例。

One dimensional nanostructures as a nano-materials, as well as the future of a very important material.

一维纳米材料也具备许多这样的独特功能,本文介绍了按其结构分的一维纳米材料的特性。

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