查询词典 boundary operator

In fact, for interior problem, solution of the direct boundary integral equation always exists.

事实上，对内边值问题，第一类Fredholm 直接边界积分方程的可解性条件是自然得到满足的，本文对此做了验证。

By the theory of natural boundary reduction, the natural integral equation and the Poisson integral formula of the problem considered are obtained, and the numerical method of the natural integral equation is given.

通过自然边界归化，获得了该问题的自然积分方程和Poisson积分公式，给出了自然积分方程的数值解法，并通过数值例子以示本文方法的可行性与有效性。

It is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given.

并给出了正交各向异性介质识别的数值实验。

Green quasifunction method is applied to Poisson's equations. Fredholm integral equations of the second kind are obtained. Irregularity of the kernel of integral equations is overcome by choosing a suitable form of the normalized boundary equation.

应用准格林函数方法，可将Poison方程化为第二类Fredholm积分方程，通过边界方程的适当选择，积分方程核的奇异性被克服了。

In the numerical simulation, the new formulation not only remedies the boundary deficiency problem in the original SPH but also more efficiently repairs the truncated integral in kernel approximation caused by discontinuity and eliminates the errors from particle inconsistency in discontinuous region.

比较不同SPH方程近似二次函数的结果，新方法不仅改进了传统SPH方法存在的边界缺陷问题，同时在非连续区域内也能更有效地修复由非连续引起的核近似截断积分和消除粒子不一致性所造成的误差。

By usingthe relation between the Bergman kernel and the Riemann mapping and Plemly for-mulae,the second boundary integral equation about the Bergman kernel is obtained,moreover,the integral kernel is a continuous,without any singularity,parametized Neu-mann kernel.We discuss the case of some symmetric property,and get correspondingresults.

主要利用Bergman核与Riemann映照之间的关系，推导出Bergman核满足带有参数化Neumann核的第二类边界积分方程，积分核是连续的没有任何奇性，并讨论了具有某种对称性质的情形。

We discuss a complex Clifford boundary value problem in the 4th canonical domain and give a succinct integral representation .

讨论第四类典型域上一个复Clifford边值问题，并给出一个简洁的积分表示式。

This study deals with the prices of American option on dividend-paying. Because American call option can early exercise, in my master thesis, with Black-Scholes Option Pricing Model, I design integral representation to obtain the optimum early exercise boundary, this can evaluate the price of American call option on dividend-paying assets and compare with Europe call option.

中文摘要本研究报告主要在探讨发放股利之美式买权定价之问题，由於美式买权可以提前履约，本文以Black-Scholes Option Pricing Model为其数学模型，再设计一积分表现式，用叠代法来求得最佳履约价格，进而求得标的资产发放股利之美式买权价格，其结果再与欧式买权价格比较。

Boundary can be defined as the surface integral of the mean gradient magnitude.

本论文提出了基于边界面设计高斯型传递函数的高效方法。

The phase anomaly zones are investigated on the basis of the integral theorem of Helmholtz and Kirchhoff in terms of the Kirchhoff′s boundary conditions and the physical meaning of the integral for the diverging and converging spherical waves.

从波动方程出发，在基尔霍夫边界条件下，根据积分的物理意义，简明地研究了发散和汇聚球面波的相奇异区域分布。结果表明，除了汇聚的球面波焦点区域存在相奇异现象外，焦点以外的区域及对发散的球面波同样存在相奇异现象。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。