Fredholm integral
英
美
【计】弗雷德霍姆积分
双语例句
- Asymptotic Expansions of Iterated Galerkin Methods for Eigenvalue Problem of Fredholm Integral Equations; The Study on Precision and Gradual Approximation about Pharmacokinetics Initial Value
Fredholm积分方程特征值迭代Galerkin方法的渐近展开（英文）关于药代初值精化方法及渐次逼近法的探讨 - Solution to the Fredholm Integral Equation in Geophysical Inversion by Walsh Function
地球物理反演中积分方程的沃尔什函数解法 - 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 - A Note on Iteration Methods for Linear Fredholm Integral Equations of the Second Kind incomplete elliptic integral of the first kind
第二类线性Fredholm积分方程迭代算法的一个注记 - The Matrix Riccati Equations and the Linear Fredholm Integral Equations
矩阵Riccati方程与线性Fredholm积分方程 - The paper uses wavelet compression algorithm to realize the compression and order-reducing solution of large-scale Fredholm integral equation.
本文采用小波压缩算法实现了大型弗雷德霍姆积分方程的压缩与降阶求解。 - We discuss the iterated collocation method of two-dimensional Fredholm integral equations. A multilevel correction estimate of the corresponding iterated collocation approximations with quasi-uniformly meshes is obtained.
讨论了二维线性Fredholm积分方程的迭代配置方法，在拟一致网格下得到了迭代配置解的多重校正估计。 - Asymptotic error expansion and extrapolation of the Nystrom method for two-dimensional Fredholm integral equations
二维Fredholm积分方程Nystrom方法的渐近展开及其外推 - A solution to the first kind of Fredholm integral equation is developed for step functions by means of Walsh function. The electromagnetic inverse scattering problem governed by the first kind of Fredholm integral equation is an ill-posed problem.
在地球物理反演中，通常归结为阶梯函数的第一类Fredholm积分方程，文中给出了该积分方程的沃尔什函数解法。由第一类Fredholm积分方程所描述的电磁逆散射问题是非适定问题。 - The paper demonstrates that using rationalized Haar wavelet for solving linear Fredholm integral equation of the second kind.
为了解第二类Fredholm积分方程，建立了一种使用有理化Haar小波解第二类Fredholm积分方程的算法。 - In this paper, a stability algorithm for solving the Fredholm integral equation of the first kind with piecewise smooth solution is proposed.
本文在解分段光滑的前提下，运用正则化原理，在有限维空间上给出了求解第一类Fredholm积分方程的算法。 - In this paper, we give a high accuracy algorithm-iterative Corrections for finite element solutions of two dimensional second kind Fredholm integral equations.
对二维第二类Fredholm积分方程，以有限元解为基础，建立了一个高精度算法&迭代校正法。 - The solving of problem is transformed to solving the first kind Fredholm integral equation. The Tikhonov regularization method is used to solve the ill-posed integral equation problem. Based on the conditional stability, a stabilized algorithm is presented.
该问题可转化为第一类Fredholm积分方程的求解，为了克服该问题数值求解的不适定性，采用Tikhonov正则化策略进行求解，并基于条件稳定性进行了算法设计。 - The function-valued Pad é-type approximant is defined by using introducing a function-valued linear functional on polynomial space, then it is applied to solve the second kind of Fredholm integral equations.
本文首次在多项式空间上引入了一种线性泛函，从而定义了一种函数值Padé-型逼近（FPTA），并将它应用于求解第二类Fredholm积分方程。 - Using Hankel and Abel integral transforms, the problem is reduced to a set of second kind Fredholm integral equations. The scattered displacement is derived in the form of integral expressions.
文中应用Hankel积分变换和Abel变换，将问题最后归结为求解一组第二类Fredholm积分方程，并导出了用积分形式给出的散射位移场表达式。 - To solve Fredholm integral equations of the second kind, a linear operator is introduced from a polynomial space to a function-valued space. Function-valued Pad é-type approximation is then defined.
该文引入了一种从多项式空间到函数空间线性算子，从而定义了函数值Padé-型逼近来求解第二类Fredholm积分方程。 - In this paper, we apply multi-grid method to integral equation and establish a multi-grid algorithm of Fredholm integral equation. The wire antennas are analyzed and studied by using the multi-grid algorithm of Fredholm integral equation.
本文将多重网格方法应用于积分方程，建立了Fredholm积分方程的多重网格解法，并将其应用于线天线的分析研究，对不同长度的线天线进行了数值分析，得到了较好的结果。 - The optimal adaptive direct method of approximate solution for Fredholm integral equations with infinitely differentiable kernels is studied. The exact order of optimal error is determined and the optimal algorithm is constructed.
研究了由无限可微核及自由项所确定的第二类Fredholm积分方程类自适应直接方法的优化，得到了误差阶的精确估计，并构造了最优化算法。 - Utilizing the proposed elementary solutions and taking density functions of elementary solutions along elliptical holes and cracks surface as undetermined functions, a group of Fredholm integral equations can be established.
利用叠加原理和所得的基本解，并沿椭圆孔和裂纹表面取待定的基本解密度函数，可得一组以基本解密度函数为未知函数的Fredholm积分方程。 - The ill posed problem can be converted into the first Fredholm integral equation; and an algorithm of inversion is given using the Tikhonov's regularization method.
把此反问题转化为第一类Fredholm积分方程，并利用Tikhonov正则化方法给出了一种反演算法。 - The approximate solution for the transmitted and reflected waves wave at the vertical wall of the step is obtained by using the methods of the matched-asymptotic expansion and the Green function and some mathematical tech technique such as the conformal mapping theory and the singular Fredholm integral equation theory.
通过匹配渐近展开和格林函数的方法，借助保角交换和求解奇异Fredholm积分方程的技巧，获得了两层流体系统中弱非线性内波在台阶直壁处反射和透射的近似解。 - The Fredholm integral equation of the second kind is established in the Laplace transform domain in order to obtain the consolidation displacement of the elastic plate. Laplace transform solutions are converted to time domain solutions by numerical methods. The numerical results useful to engineering practice are given.
在Laplace变换域上建立了求解弹性圆板固结位移的第二类Fredholm积分方程，由数值反变换获得时域解，给出了对工程实践有参考价值的计算结果。 - The method for solving the system of Volterra-Fredholm integral equation
Volterra-Fredholm型积分方程组的求解方法 - The method using bivariate wavelet function to solve the first class bivariate Fredholm integral equation is researched.
并研究了用二维小波函数求解第一类二维Fredholm积分方程的方法。 - The character of the solution depends on the known function of integral equation, as to the Type ⅰ Fredholm integral equation with logarithm function singular integral kernel.
对于具有对数函数弱奇异性积分核的Fredholm型I类积分方程，解的性质主要取决于方程中已知函数的形式。 - The interface crack problem is also reduced to solve a set of the first kind of Fredholm integral equations by the conjunction method and the crack-division technique. Dynamic stress intensity factors of the crack-tip can be contained in the integral equations by a substitution.
对于界面裂纹问题，同样采用契合思想和裂纹切割技术将问题简化为求解一组第一类Fredholm积分方程，并通过代换使其直接包含裂纹尖端的动态应力强度因子。 - There are a lot of ill-posed problems in physics, biology, medicine, geology and engineering technology. For example, parameter identification problems, nonlinear ill-posed Hammerstein integral equation, the solution for the first kind of Fredholm integral equation and so on.
在物理、生物、医学、地质和工程技术领域都存在着大量的不适定问题，比如参数识别问题、非线性不适定Hammerstein积分方程以及求解第一类Fredholm积分方程等。 - Fixed solution problems of ordinary differential equations and the partial differential equations can be turned into the equivalent integral equations, numerical methods of inverse problem for partial differential equations, often derived Fredholm integral equation of the first kind.
而常微分方程与偏微分方程的定解问题也可以化为等价的积分方程，解偏微分方程反问题的数值方法，也常常导出第一类Fredholm方程。 - The Fredholm integral equations of the first kind arise naturally in science and technology, which are special cases of inverse problems. Most of these problems are ill-posed problems.
科学和技术领域中许多问题都可归结为第一类Fredholm积分方程的求解问题，而这类问题是特殊的反问题，大多具有不适定性。