使用矩量法，可解此积分方程。
边界积分方程的离散基于常数元模式。
将极大值问题转化求解特征值积分方程。
The maximization problem can be changed into an eigenvalue integral equation.
导出了描述离子密度变化的非线性的能量积分方程。
The nonlinear energy integral equation describing the evolution of ion density has been derived.
分别运用了体积分方程法和面积分方程法来求解问题。
Both the volume integral equation method and the surface integral equation method are used in this paper.
现在我们来表述这些积分方程，并讨论它们的一些结果。
We shall now formulate these integral equations and discuss some of their consequences.
将附面层的动量积分方程与主流的关系式联立起来求解。
Momentum integral equations are solved simultaneously with the specified relationships of main flow.
自然边界积分方程分析可直接获得边界应力和位移导数。
The natural BIE can be employed directly to obtain boundary stresses and displacement derivatives.
本文避开奇异基本解，用非奇异基本解建立边界积分方程。
Avoiding singular fundamental solution, the paper using non-singular fundamental solution to establish the boundary integral equation.
它使用快速多极方法(FMM)加速积分方程的解决方案。
It USES the fast multipole method (FMM) to accelerate the solution of the integral equations.
在建立积分方程时，运用平面高斯定理改善了级数的收敛性。
In deriving the integral equation, the convergence of series is modified by application of the plane Gauss Theorem.
研究了用边界单元法解积分方程中点源和无穷边界的处理方法。
The treatment of point source and infinite boundary in solving the integral equation by BEM are developed.
提出了基于周期单元的加速高速电路电容参数提取的积分方程法。
An integral equation method based on periodic cell to accelerate capacitance extraction of high speed circuits was proposed.
采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。
The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
进而将积分方程形式的特征值问题转化为无穷阶矩阵的标准特征值问题。
And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.
然后利用外插值的方法，外推得到光滑因子为零时的积分方程的稳定解。
The stable solutions of the integral equation are obtained by the extrapolation method when the smooth factor equals to zero.
用积分方程的方法讨论了解析函数的一类带有两个位移的复合边值问题。
One class of composite boundary value problem with two displacements is discussed with integral equations.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation.
传统的平板弯曲边界元域外奇点法要求建立二个边界积分方程才能求解。
The traditional boundary element method of outside domain singularity points for plate bending problems needs two boundary integral equations.
与传统求解时域电场积分方程的时域矩量法相比，该方法易于数值实现。
This method is easier to numerate implementation than the traditional time domain method of moment.
运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。
By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.
借助于型参数，通过变换动量积分方程，得出动量损失厚度近似解的表达式。
By type factors and transitional momentum integral equation, the approximate expression of momentum thickness is presented as well.
采用时间有限差分离散化方法求解超空泡流积分方程，得到了问题的数值解。
Solving integral equations of supercavitating flow based on the finite difference time discretization method, some numerical results are obtained.
矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用于数值计算。
The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.
通过对弱奇异积分方程的数值求解，可得裂纹端点和交点处的应力强度因子。
Through the numerical solution of the integral equation, the stress intensity factors at the end points of the crack and intersection are obtained.
直接对曲梁剪应力的积分方程求解，导出了曲梁剪应力和径向应力的计算公式。
The shearing-stress formula in curved beams can be derived by solving directly an integral equation, and the formula for radial stresses is also presented in this paper.
直接对曲梁剪应力的积分方程求解，导出了曲梁剪应力和径向应力的计算公式。
The shearing-stress formula in curved beams can be derived by solving directly an integral equation, and the formula for radial stresses is also presented in this paper.
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