The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
We shall now formulate these integral equations and discuss some of their consequences.
现在我们来表述这些积分方程，并讨论它们的一些结果。
In this paper, we give the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations.
本文利用不动点理论，给出了一类非线性延迟积分方程正的概周期型解的存在性条件。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
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。
It USES the fast multipole method (FMM) to accelerate the solution of the integral equations.
它使用快速多极方法(FMM)加速积分方程的解决方案。
Solving integral equations of supercavitating flow based on the finite difference time discretization method, some numerical results are obtained.
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。
Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems.
再得到与之对应的各类变分原理，界限定理，第二阶段问题的边界积分方程。
One class of composite boundary value problem with two displacements is discussed with integral equations.
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。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
By equating the normal induction velocity on the planing plate to its normal velocity of pitching and heaving motions, obtained the integral equations of the unknown pressure distribution.
令板面处的法向诱导速度与滑行板由纵摇和升沉运动所产生的法向速度相等，便得到求解未知压力分布的积分方程序。
For dealing with the electromagnetic fields near edges, an approximate scheme is developed using the series expansions and integral equations.
处理孔缝边界时，用级数展开和积分方程得到金属拐角处电磁场的近似解。
We present a quadrature method for mixed boundary integral equations of stable problems, which provides high accuracy and less complexity.
提出了求积法解稳态问题的混合边界积分方程，它拥有高精度，低复杂度。
Q3D Extractor USES method of moments (integral equations) and FEMs to compute capacitive, conductance, inductance and resistance matrices.
Q3D提取使用的矩量法(积分方程)和有限元计算的电导，电容，电感和电阻矩阵。
Applying the full wave analysis for aperture coupled microstrip antennas, the spectral domain integral equations are founded and solved numerically by the method of moments.
本文利用全波分析，建立了口径耦合微带天线的谱域积分方程，并用矩量法求其数值解。
The flow parameters such as discharge, free surface profile and boundary pressure distribution are simulated by numerical calculating the boundary integral equations.
通过数值求解边界积分方程组，对流量、水面线和边壁压力等水力参数进行了数值模拟。
In numerical calculation, the paper employs the collocation method to compute the coupled boundary integral equations with quadrangle constant elements.
数值计算采用配置法计算耦合的边界积分方程，使用四边形常单元。
The method requires less computation time and smaller memory than the direct computation of volume integral equations, since the large scale matrix inversion may be avoided.
由于不必进行直接的大型矩阵求逆运算，因而与体积分方程的直接解法相比，所需的机时更少，并减少了对内存的要求。
Solutions of the boundary layer momentum integral equations of vanes in centrifugal pumps are given and their calculation method and their illustration with example are given too.
给出了离心泵叶片表面的边界层动量积分方程的解的构造及其计算方法，并以计算实例说明了该解的唯一性和算法的稳定性、收敛性。
By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of displacements across the crack surfaces.
首先利用付里叶变换，使问题的求解转换成对一对变量为裂纹面上位移差的对偶积分方程的求解。
The traditional boundary element method of outside domain singularity points for plate bending problems needs two boundary integral equations.
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。
In solving electric field integral equations, fast multipole is used to make the computing efficiency greatly improved.
最后采用了快速多极子对电场积分方程进行求解，这样使得计算的效率得到很大的提高。
This paper deals with indefinite integral equations with jumping nonlinearities.
讨论具有跳跃非线性项的非正定核积分方程。
Applying fixed points theorem, we give the sufficient conditions of the existence of positive ergodic solutions for a class of infinite nonlinear integral equations.
利用不动点理论，给出了一类非线性积分方程正的遍历解存在的充分条件。
The governing integral equations are established by the method of mixed boundary-condition land the simplified form is given.
用混合边界条件方法建立了问题的确定积分方程组，并进行了简化。
The general integral equations are derived for liquid and gas components of space propulsion systems with liquid propellant rocket engine.
针对采用液体推进剂火箭发动机的空间推进系统，推导了系统液路和气路的通用积分形式方程。
In this paper, diffraction integral equations and Bessel Functions are used to getting perfect solution of Fraunhofer ring aperture diffraction, and the diffraction pattern is analysed.
本文从衍射积分公式出发，利用贝塞尔函数，求得夫琅禾费环孔衍射积分的精确解，并对衍射图样进行分析讨论。
Results are useful for differential difference equations and differential integral equations with continuous distributed retards.
所得的结果适用于微分差分方程和具连续分布滞量的积分微分方程。
The problem of a cylindrical interface crack is reduced to a system of singular integral equations with the aid of two unknown dislocation functions at the interface crack surface.
以裂纹面上的位错函数为未知量将圆柱型界面裂纹问题化成一组奇异积分方程的求解问题。
By use of the time split method, a conservation difference formula is established to find the solution to the shallow water equation based on the finite volume control method from integral equations.
采用二分步法，从积分型方程出发，在有限控制体上建立守恒型差分格式，对二维浅水波方程进行求解。
The dynamic problem could be formulated as a set of dual integral equations.
该问题可表示为一系列二重积分方程。
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