奇值

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。

This paper presents the construction of the shape functions using the monomial basic function and describes the properties of the shape functions.

本文研究了点插值法中以单项式为基函数的形函数的建立及其性质，并通过矩阵三角化算法来克服形函数矩阵大奇异性。

A character's 8 bits are stored in a row of chips; the ninth chip holds the parity bit, which is a 1 or 0, based on whether the parity scheme is odd or even.

每排集成电路片存储一个8bit的字符，第九个集成电路片为奇偶校验位，其值为1或0，取决于该字符的奇偶性。

A class of singularly perturbed boundary value problem of weakly nonlinear equation for fourth order on the finite interval with two parameters is considered.

讨论了一四阶具有双参数的弱非线性方程在有限区间上的奇摄动边值问题。

Firstly, the expansion of outer solution for the problem is constructed using the regular perturbation method.

讨论了一类具有双参数的非线性反应扩散方程奇摄动初边值问题。

This paper aims to examine a class of the problems of third order nonlinear boundary value of singular perturbation by way of transforming unknown function.

以变换未知函数的方式研究一类奇摄动三阶非线性微分方程边值问题，在适当条件下，构造出问题的上下解。

This paper deals with a class of singular Positone boundary value problems.

对一类具有奇性Positone边界值问题进行了研究，利用非线性二择一不动点定理建立了问题正解的3个存在性原则。

This paper deals with the singular perturbation of the boundary value problem of a class of third order nonlinear differential equations.

研究一类三阶非线性微分方程边值问题的奇摄动，由于退化问题是一阶微分方程，将失去两个初值条件，所以摄动解在x=0的某一邻域内将出现非一致性。

According to the above-mentioned principle, we can transform the series solution of the boundary value problem of Laplace's equation in the wedge, rectangle and semi-infinite strip, sector region into an exact similarity solution with the source type singularity by similarity method.

本文即根据上述之原理，将楔形区域、矩形区域与半无限长条区域以及扇形区域三大类拉普拉斯方程式边界值问题之无穷级数解，化为具有相同数学结构之源型奇性相似精确解。

Recently, on the basis of it, many mathematicans begin the systematical study of SBVPs, which have become a important branch of the theory of ordinary differential equations.

近来，在此基础上，数学家们开始了对奇性常微分方程的边值问题的系统研究，它已经成为常微分方程理论中的一个重要分支。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新