kernel of an integral equation

kernel of an integral equation的基本解释

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积分方程的核

与kernel of an integral equation相关的网络例句 [注：此内容来源于网络，仅供参考]

Next, the boundary value problem is changed into an integral equation by applying a Green function. Then, by establishing a normalized boundary equation, the irregularity of the kernel of integral equation is overcome.

弹性扭转问题可看成是Poisson方程的边值问题，R 函数理论保证了对于任何复杂的区域，总可以找到一个规范化方程，从而可以将弹性扭转问题化为一个无奇异性的第二类Fredholm积分方程。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

与kernel of an integral equation相关的网络解释 [注：此内容来源于网络，仅供参考]

kernel of an integral equation：积分方程的核

kernel function 核 | kernel of an integral equation 积分方程的核 | kernel of integral operator 积分算子核

kernel of an integral equation：积分方程核

积分方程|integral equation | 积分方程核|kernel of an integral equation | 积分几何[学]|integral geometry