Estimates of Heat Kernel with Potential on Complete Manifold;
完备流形上带位势的热核估计
A Class of Potentials Associated with Higher-order Differential Operator;
一类对应于高阶微分算子的位势函数
This paper studies the BIE in the potential problems.
研究位势问题中边界积分方程,通过分部积分变换消除了常规的位势导数边界积分方程中超奇异积分, 从而获得二维位势问题的自然边界积分方程。
A theoretical study of potential energy of solid surfaces and a deeply discussing of the influence of the adsorbed gases in the solid surfaces to the process of absorption and desorption were given.
从分子之间的作用力和分子之间相互作用的能量的角度对真空科学中表面吸附的位势理论进行了理论研究,并深入地探讨了固体表面吸附的气体分子层对气体的吸附与脱附的影响。
The paper puts forward a way of boundary series equation about the potential energy.
就位势问题提出了一种级数形式的边界积分方程法,避免了传统边界积分方程法中边界奇异积分的处理和计算,计算结果表明,不仅减少计算程序,而且具有较高精度。
This article introduced the grey potential energy identification, a new nonlinear, multivariable pattern identification method, and applied its mathematic theory, solution to a certain gas field reservoir prediction.
本文详细介绍了灰色位势识别这一新颖的非线性多类模式识别的数学原理、算法思路及在 XX气田储层预测中的应用 ,表明了该算法具有较好的非线性的识别归类效果 ,值得进一步研究推广。
This article introduced the grey potential energy theory and achieved a new method of fault diagnosis in transformer.
首先介绍灰色位势理论 ,然后提出了一种基于灰色位势理论的变压器故障诊断算法 ,给出了利用该算法进行故障诊断的基本步骤 ,最后用一个实例验证该方法的正确
Analysis for the potential flow in an elliptical area with a central hole;
含中心孔的椭圆区域内位势流动分析
On the basis of potential flow theory, an engineering numerical simulation model was set up to simulate the complex landform and the airfield over it.
为描述飞机在低空突防时的外部环境 ,用多重山脉和多种地貌设计构造了飞机超低空飞行时的复杂地形 ,同时 ,基于位势流动理论建立了复杂地形及其上空风场的工程化仿真模型 ,并进行了算例仿真和分析 。
Meshless regularized local boundary integral equation method to 2D potential problems;
二维位势问题中的正则局部边界积分方程方法
By applying fast multipole expansion,the boundary integral equation about 3D potential problem is made discrete.
应用快速多极展开法将三维位势问题的边界方程离散。
A general algorithm is applied to the regularization of nearly singular integrals in the boundary element method of planar potential problems.
将一种通用算法应用于平面位势问题边界元法中近边界点几乎奇异积分的正则化· 对线性单元,位势问题近边界点的几乎强和超奇异积分可归纳为两种形式· 通过分部积分,将引起奇异的积分元素变换到积分号之外,从而对这两种积分分别给出了无奇异的正则化计算公式· 除了线性元,二次元也应用于该算法· 与近边界点临近的二次单元划分为两段线性单元,该算法仍然适用· 算例证明了方法的有效性和精确性· 对曲线边界问题,联合二次元和线性元可提高计算结果精确度·
In this paper, based on social network analysis theory, we set up a probability model of innovation decision at the individual level, and use the potential function to analyze the pay off of innovation, introducing the compactness attributes to study the diffusion of innovation in social networks.
基于社会网络分析理论,建立了单个潜在用户面对创新决策时的概率模型,给出了创新成本支出的两个组成部分;并建立了在社会网络层面的创新扩散模型,运用位势函数分析创新的支出,引入组织紧密度指标,来分析社会网络中的创新扩散。
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