integral equation

A boundary integral equation and variational formulation for the solution to a class of periodical parabolic equations is presented, which is a heat conduction equation. The error estimates of the approximate solutions are given.

得到了周期性热传导抛物型方程的边界积分方程和边界变分方程，给出了近似解误差估计。

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The singular integral equation for the unkown crack opening displacement is derived.

求出了以裂纹张开位移为未知量的奇异积分方程.

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Wavelet method for boundary integral equation

边界曲线积分方程的小波解法

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The Noether Theorem of the Singular Integral Equation with Convolution Kernel

含卷积核的奇异积分方程的Noether定理

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A boundary integral equation method for the stationary Stokes problem in three dimensions

三维定常流Stokes问题的边界积分方程法

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The method was over ten times more rapid than the volumetric integral equation method.

缺陷的重构速度比用体积分方程法提高十倍以上.

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Secondly, by the marching-on-in-order ( MOO) algorithm with Laguerre polynomials, time domain electric field integral equation can be solved without the time variables.

然后，本文分析了使用基于Laguerre多项式的阶数步进法（MOO，marching-on-in-order），它在求解时域电场积分方程时，可以将时间变量从中分离出来。

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This dissertation studies the integral equation method and its key techniques for three-dimensional scattering problems in multilayered media.

本文深入研究了求解平面分层介质中三维目标电磁散射的积分方程方法及其关键技术。

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The magnetic field integral equation ( MFIE) is formulated to study the electromagnetic scattering from Alpha-stable non-Gaussian metallic material surface with a time harmonic wave and a UWB pulse wave incidence.

基于磁场积分方程研究Alpha-stable非高斯分布的金属材料表面的时谐波、超宽带脉冲波的电磁散射特性。

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Firstly, half-space dyadic Green's functions are given to establish the integral equation for buried dielectric objects.

首先, 利用半空间电磁并矢格林函数建立起埋地目标体的体积分方程.

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Basic integral equation formulae are derived from Maxwell equations.

从Maxwell方程组出发推导积分方程的基本公式。

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The method of boundary integral equation for hoff's sandwich plates

Hoff型夹层板的边界积分方程法

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The character of the solution depends on the known function of integral equation, as to the Type ⅰ Fredholm integral equation with logarithm function singular integral kernel.

对于具有对数函数弱奇异性积分核的Fredholm型I类积分方程，解的性质主要取决于方程中已知函数的形式。

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By applying fast multipole expansion, the boundary integral equation about 3 D 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.

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The integral equation attracted extensive attention since it can satisfy the radiation boundary conditions automatically and only the target surface is required to be discretized.

由于积分方程有着自动满足辐射边界条件，并且只需要在目标表面进行离散等优点，因而受到了广泛地关注。

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Based on testifying the integrand divergence free property of the traction boundary integral equation and Stokes' theorem, the computation of traction boundary integral equation can be transformed into the evaluation of the displacement potential function on the boundary points.

证明面力边界积分方程被积函数的散度等于零，应用Stokes公式，对平面线弹性问题，将面力边界积分的求解转化为边界点的位移势函数的点值计算。

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In this paper, the transonic two dimensional airfoil integral equation given by Nixon [ 1,2,3] has been extended to three dimensional thin wing case.

本文将Nixon[1,2,3]对二维薄翼型所建立的跨音速积分方程推广到三维薄机翼情况。

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Combining Integral Equation and Analytical Method to Determine Eddy Current Losses of a Thin Steel Plate

积分方程与解析法组合计算薄钢板的涡流损耗

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Based on the conceptions of equivalent macroscopic permeability and susceptibility, the relation between the magnetic field of sample model and the magnetic field of the non-magnetic building is discovered by using the forward and inverse calculation of magnetostatic integral equation method.

基于等效宏观磁导率和磁化率的概念，利用静磁场积分方程法的正演计算和反演计算技术，找出了试验模块磁场测量值与非磁性建筑物空间整体磁场之间的关系。

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In this paper, we discuss one kind of nonlinear Volterra integral equation with the convolution kernel, and give some results on the uniqueness and approximate method of the non-trivial solutions of this equation.

本文对一类具有卷积核的非线性Volterra型积分方程进行了讨论，给出了关于这类方程的非平凡解的存在性和解的逼近方法的一些结果。

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Starting with the Lippmann-Schwinger integral equation, the fundamental equation of arrangement channel quantum mechanics ( ACQM) has been re-derived using the Green's operator method.

从Lippmann-Schwinger积分方程开始，然而用格林算符方法，重新推导了排列通道的量子力学（ACQM）的基本方程。

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According to the theory of integral equation, via the analysis of the characteristic of the integral equation of Hertz's contact problem, this paper shows that the solution of this problem is un-unique.

本文根据积分方程的理论，对Hertz接触问题的积分方程的特点进行了分析，指出该问题的解不是唯一的。

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Main ingredients are the technology of integral equation and the fixed point theorems on cone.

主要工具是积分方程技巧和锥上的不动点定理.

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A solution to the first kind of Fredholm integral equation is developed for step functions by means of Walsh function. The electromagnetic inverse scattering problem governed by the first kind of Fredholm integral equation is an ill-posed problem.

在地球物理反演中，通常归结为阶梯函数的第一类Fredholm积分方程，文中给出了该积分方程的沃尔什函数解法。由第一类Fredholm积分方程所描述的电磁逆散射问题是非适定问题。

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In this paper the magnetic distribution character of micro-electro-mechanical relay was analyzed by applying Biot-Savart law and integral equation method ( IEM). The results of IEM and FEM show the method which used in analyzing three-dimensional stationary magnetic field for Micro-electro-mechanical relay is feasible.

文中应用毕奥–萨伐尔定律和积分方程法，分析了微机械电磁继电器磁场分布特性，计算结果与有限元法结果进行比较，表明所用方法对于微机械电磁继电器三维恒定磁场的分析是可行的。

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The solution of bklt integral equation for atom-diatom exchange processes

研究原子－双原子交换过程的BKLT积分方程的解

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Straightforward algebra leads to the integral equation quoted above.

上面引用了简单代数的积分方程.

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A three-dimensional magnetic field simulation software with integral equation approach is developed by using Object-Oriented Programming, visualization technology and human-computer interaction technology.

面向对象技术、可视化技术及人机交互技术等相结合，开发了用于三维磁场计算的积分方程法仿真软件。

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The Exact Integral Equation of Hertz's Contact Problem

Hertz接触问题的精确的积分方程

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The computational method of solid angle and surface integral in integral equation

积分方程中对空间立体角及曲面积分的计算方法

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