查询词典 kernel of integral equation

By using thenatural boundary element method which is set up by professor Feng Kang,the Neu-mann boundary problem of the harmonic equation on the half-upper plane is reducedto the Hadamard type singular integral equation,the integral region of which is un-bound,and then we turn it into corresponding bilinear form.

通过由冯康教授开创的自然边界元方法，将上半平面调和方程的Neumann边值问题归化为Hadamard型强奇异自然边界积分方程，并且此积分方程是无界域上的强奇异自然边界积分方程，然后将它转化为相应的变分形式。

First,the planar waveguide models for Rotman lens and its feed lines which incorporate the dispersion effect with frequencies are set up.Then the aperture electric fields at lens ports are expanded by appropriate waveguide mode functions and substituted into the contour integral equation.The multimode scattering matrix of the lens can be acquired by solving the contour integral equation by using Galerkin method.

首先建立了考虑色散效应的透镜的等效平板波导模型，然后选择适当的波导模式函数展开透镜端口上的场，并利用Galerkin法求解其边缘上电场满足的轮廓积分方程即可得到透镜的多模式散射参数。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

Potential theory is used to transfer the exterior boundary value problem into the boundary integral equation of the first kind. A iterated Tikhonov regularization and a modified Tikhonov regularization are presented to solve the integral equation.

利用位势理论将外边值问题转化为第一类边界积分方程，再分别利用迭代的Tikhonov正则化方法和改进的Tikhonov正则化方法求解积分方程。

Through establishing the functional of the source pulse which is based on the concept of "usable energy" in the received pulse and then extremizing the functional by means of the calculus of variations, the mathematical models of the optimized source pulse waveforms are shown to be associated with the eigenfunctions of a homogeneous Fredholm linear integral equation of the second kind. An efficient algorithm is developed for numerically solving the integral equation models.

论文研究了基于延迟反射脉冲序列无源标签的UWB RFID系统的基本工作原理并进行了详细的信号描述和分析，通过建立基于接收脉冲"有效能量"概念的源脉冲波形函数的泛函和使用变分计算泛函极值，得到了相关于第二类齐次Fredholm线性积分方程特征函数的源脉冲波形最优解数学公式模型，并开发了一套有效的数值求解算法。

By use of the method of integral equation, the second kind Fredholm's integral equation was deduced to solve the interaction factors of pile-pile, pile-soil and soil-soil. Using the principle of superposition, the piled raft foundation was calculated. The validity of the proposed method was verified through comparison with solutions obtained using other methods by existing theories of elasticity.

采用积分方程法推导出求解桩－桩、桩－土和土－土间相互作用系数所需要的第二类Fredholm积分方程，利用叠加原理对桩筏基础进行计算分析，通过与常规弹性理论方法计算结果的比较验证了本文方法的正确性。

Firstly, Hallen integral equation was performed to analyze the antenna. Then, the Equivalent Theory was used to build the electric field integral equation, the EFIE was translated into matrix equations by Galerkin method, and the scattering field can be calculated by the surface currents of the metal target. Finally, numerical calculation to representative scatters was conducted.

首先推导了有耗媒质中圆柱对称天线的海伦积分方程；然后利用等效原理建立导体表面的电流积分方程，并采用伽略金方法将积分方程组转化为矩阵方程组，求解出散射体表面的等效电流分布，计算出其散射场；最后以典型散射体为例，进行了仿真计算分析。

In the paper, an integral type rheologic equation suitable for linear visco - elastoplastic rheologic model is presented, and the rheologic equation of a general rheologic integral model is given.

给出了适合线性粘弹塑性流变模型的积分形式流变方程，并给出了普遍流变积分模型的流变方程。

Applying the Green′s theorem and a moving oscillating source, an integral equation method is developed for predicting wave height on a shoal in current. The integral equation is discretized by a higher order element method.

利用格林定理和移动脉动源建立了一个积分方程方法，并利用高阶方法对积分方程进行了离散和求解，用于计算波浪和水流在浅滩上发生的绕射现象。

According to our present broadcasting situation,the thesis proposes using new technology to update and reform the present HFC. It also suggests broadcasting using self-advantage and arranging EPON in order to win the supermarket.

论文从我国广电的现状出发，结合实际，积极倡导采用新技术更新、改造我国现有的HFC网络；倡导广电现阶段利用自身优势，部署EPON网络来赢取市场。

A new general kinetic equation was derived in which the effect of the removal of condensation water was taken into account completely, and was applied to the polyesterification kinetic study of AA/HPHP and AA/NPG. It was found that the reaction order of self-catalyzed polyesterification was not constant. For these polyesterifications, the reaction order was 2.5 at a low temperature, while 3.0 at a high temperature.

考虑缩合水的排除对反应体系的影响，用体积浓度单位推导出一个新的聚酯反应总包动力学方程，并应用到AA/HPHP和AA/NPG两个聚酯化反应的动力学研究中，研究发现，自催化聚酯反应的反应级数并不是固定值，对于AA/HPHP和AA/NPG两个聚酯化反应而言，低温时反应级数为2.5，高温时反应级数为3.0。