根据积分路径和被积函数的特点，讨论了相应的计算复积分的方法。
It is based on the properties about the path of integration and the integrand function.
复变函数积分计算是复变函数课程教学的一个非常重要的内容。
Computation of the complex integral is very important content in teaching complex variable function.
为了快速精确计算架空偶极子大地中的透射场，提出了一种广义索末菲积分（GSI）两阶段复镜像等效算法。
A two stage complex image method is proposed to rapidly and precisely calculate the refractive field of an overhead dipole (generalized sommerfeld integral, GSI) in the earth.
本文主要讨论一种特殊的复变函数的积分——周线积分。
This paper mainly discusses a special kind of complex function — contour integral.
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.
在复变量函数理论中广泛使用线积分。
Line integrals are used extensively in the theory of functions of a complex variable.
本文把复变函数的围道积分应用于泛函分析，对一般的线性闭算子得到了算子值函数的中值定理。
In this paper, the author USES the contour integral in analytic function to functional analysis, and obtains the mean value theorem of operator-valued functions.
用由广义惠更斯菲涅耳衍射积分推导出的传输方程详细研究了复宗量拉盖尔·高斯光束及其传输特性。
The elegant Laguerre-Gaussian (L-G) beams and their propagation properties are studied in detail using the propagation equation derived from the generalized Huygens-Fresnel diffraction integral.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
研究复平面单位圆域内一类非线性二维奇异积分方程的可解性。
In this paper, the solvability for a class of nonlinear two-dimensional singular integral equation is considered in unit circular.
本文应用复化数值积分法，分析对比了两种弹道一致性试验检验法的接受判据；
The acceptability criteria of two testing methods for ballistic match are compared through numerical integration.
使用离散复镜像方法(DCIM)快速得到平面分层介质的空间域的闭式格林函数，避免了费时的索末菲尔德积分。
To avoid calculating the time-consuming Sommerfeld's integrals, the discrete complex image method (DCIM) is employed to obtain spatial domain closed-form Greens function for planar-layered media.
提出一种基于离散复镜像法的广义索末菲积分(GSI)快速计算方法。
An efficient approach to calculate the generalized Sommerfeld integral (GSI), which is based on the discrete complex image method, is presented.
讨论曲线上柯西型奇异积分利用三次复样条进行近似计算的误差估计，对于相关函数类给出了这类逼近的误差阶。
This paper discusses the estimation of approximation orders of singular integrals over a general curve by means of cubic complex spline.
建构主义教学观为复变函数与积分变换的教学提供了重要的指导意义。
Constructivism sets a new Angle of viewing teaching and learning, it provides an important direction of the teaching of complex variables and integral commutation.
本文在复连域上引进势函数的概念，并给出其计算方法，以此来解决一些复杂的曲线积分计算问题。
This paper introduces the concept of potential function into the multiply-connected region and provides its method of computation in order to solve some complex problems concerning line integrals.
最后，运用复围道积分方法，找到了这些分量共形场的变换规律。
Their transformation rules are found by using the complex contour integral method.
笔者通过适当的函数分解和积分变换，将寻求复应力函数的问题转化为求解一正则型奇异积分方程，并借助积分方程理论给出了方程的求解方法。
Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
讨论了如何在复变函数与积分变换课程中引入实践教学的方法，分析指出了目前工科专业复变函数与积分变换课程的教学内容存在的突出问题。
The practical teaching approach for Complex Variable Function and Integral Transformation is discussed, and prominent problems concerned with the teaching contents of the course are analyzed.
证明了规范场不仅沿入射电子在复连通区域运动路径的积分，而且还可沿入射标量或其他旋量粒子之一在复连通区域的运动路径积分，各自都将贡献一几何相因子。
It is justified that the integral of the gauge potential along path of not only electron but also scalar particle or spinor particle will contribute a geometric phase factor.
该方法采用二级离散复镜像方法求解空间域的格林函数，与直接数值积分方法相比，提高了计算格林函数的速度。
The two-level discrete complex image method is used to compute the spatial Green's Function, and thus improves the speed to compute Green's function compared with the direct integral method.
输出层参数是复相陶瓷中各组分的体积分数。
The parameters of the output layer are volume percentages of each composition in the multiphase ceramics.
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。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
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.
运用共形映照、解析延拓以及柯西型积分运算等复变函数方法研究无限大平面中楔型向错偶极子与界面裂纹、圆形夹杂的弹性干涉问题。
The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.
在一元数值积分公式的基础上，提出了二重数值积分的复合公式，并给出复化复合公式和逐次减半的复合递推公式，通过实验比较了两种算法。
The article gives the reversible condition of a kind of jump Vandermonde matrix through linear equations, and recursion formula and the expression of its inverse Matrix.
在一元数值积分公式的基础上，提出了二重数值积分的复合公式，并给出复化复合公式和逐次减半的复合递推公式，通过实验比较了两种算法。
The article gives the reversible condition of a kind of jump Vandermonde matrix through linear equations, and recursion formula and the expression of its inverse Matrix.
应用推荐