In this paper,a new method is proposed for computing numerical solution for integral equation of the first kind in two dimensions by using a modificatory Tikhonov regularization,and the proof of the existence and uniqueness of the solution is given.
采用修改的Tikhonov正则化方法,提出了一种新的求二维第一类积分方程数值解的计算方法,并证明了解的存在唯一性,给出了算例,说明了算法的有效性。
In this thesis we apply it to get the stable solution of integral equation of the first kind.
径向基函数是一种特别灵活的基函数，它应用于偏微分方程的数值求解，并取得了一些成果；本文把它应用于第一类积分方程的数值求解。
The solution of an ill-posed Fredholm integral equation of the first kind which is the mathematic pattern of millimeter wave radiometer’s antenna temperatures is obtained and the.
针对毫米波辐射计无源被动探测系统中的目标辐射温度的反演问题 ,引入样条空间 ,提出了从天线温度数据反演装甲目标辐射亮温的样条插值方法 ,较好地控制毫米波辐射计天线温度的数学模型这一病态第一类Fredholm积分方程的解波动问题 ,求出其最小波动解 。
In order to obtain the radiometric brightness temperatures of the armoured target, a Fredholm integral equation of the first kind must be solved.
为求得装甲目标的辐射亮温 ,必须解第一类Fredholm积分方程 。
To calculate the brightness temperature distribution from the measured antenna temperature,a Fredholm integral equation of the first kind must be solved.
为能求得真实的目标物体亮温 ,从测得的天线温度数据或天线温度分布函数中反演出装甲目标的亮温分布 ,需解第一类Fredholm积分方程 。
The ill posedness of solving the first kind of Fredholm integral equations is investigated.
探讨了第一类Fredholm积分方程的病态性及其正则化求解策略的构建问题 ,并建立了一种改进的Tikhonov正则化算法 。
Solving Integral Equation of the First Kind Using Radial Basis Functions;
径向基函数在求解第一类积分方程中的应用
The wavelet functions are introducted, and then the method using wevelet functions to solve first kind integral equations is given.
介绍了小波函数,并给出了用小波函数求解第一类积分方程的解法.
The Study of Numerical Algorithms for Fredholm Integral Equations of the First Kind;
第一类Fredholm积分方程数值算法的研究
Solution to Fredholm Integral Equation of the First Kind by Using Legendre Multi-wavelets
第一类Fredholm积分方程的Legendre多小波解法
CAS Wavelet Solution to Volterra Integral Equation of the First Kind
第一类Volterra积分方程的CAS小波解法
The Super-convergence Methods for Solving First Kind Weakly Singular Volterra Integral Equations;
第一类弱奇异Volterra积分方程的超收敛技术
The Solution of the First Class of Singular Intergral Equation with Cauchy Core along Simple Arc or Simple Arcwise Set;
简单弧（集）上带Cauchy核的第一类奇异积分方程的解
A Note on Iteration Methods for Linear Fredholm Integral Equations of the Second Kind
第二类线性Fredholm积分方程迭代算法的一个注记
Application of Quadrature Methods and Regularization Methods to the Numerical Solution of First Kind Volterra Integral Equations with Weakly Singular Kernels;
用机械求积和正则化方法解弱奇性的第一类Volterra积分方程
Fast Numerical Solution for Two Dimensional Fredholm Integral Equation of the Second Kind;
二维第二类Fredholm积分方程的快速解法
Solve Fredholm Integral Equation of the Second Kind Using Interpolating Wavelet;
应用插值小波解第二类Fredholm积分方程
Primary Study of Integrability of the First Type Abel Equation
第一类阿贝尔方程可积性的初步研究
The New Method of Solving the First Category of Singular Intergral Equation with Cauchy Core Along Simple Curve
简单弧上带Cauchy核的第一类奇异积分方程的新解法
The Mechanical Quadrature Methods with the High Accuracy and Splitting Extrapolations for Solving Boundary Integral Equations of the First Kind of Scientific and Engineering Problems on Nonsmooth Domains;
非光滑域上科学与工程问题的第一类边界积分方程高精度机械求积法与分裂外推
Wavelet Galerkin Method for Nonlinear Integral Equations of the Second Kind;
解第二类非线性积分方程的小波Galerkin方法
Stability Analysis of a Class of Integro-differential Equations with Time Delays
一类时滞积分微分方程的稳定性分析
THE UNIQUENESS OF SOLUTION FOR A CONVOLUTIONAL INTEGRO-DIFFERENTIAL EQUATIONS;
一类卷积型积分微分方程组解的唯一性
The Solution of n step even Linear Differential Equation that is a kind of can Change into Successive integral;
逐次积分法解一类齐次线性微分方程