1) Tikhonov regularization
Tikhonov正则化
1.
Fourier and Tikhonov regularization methods for solving a class of backward heat conduction problems;
求解一类反向热传导问题的Fourier正则化和Tikhonov正则化方法
2.
Tikhonov regularization approach was used to alleviate the illness of inverse formula in(order) to get real solution or stable approximate solution.
在求解逆问题时,为了消除方程的病态,得到逆问题的真实解或其稳定近似解,采用了Tikhonov正则化方法对求解过程进行约束和控制。
3.
In this paper, the Tikhonov regularization method and the L-curve criterion for determing the regularization facto.
本文采用Tikhonov正则化算法和选取正则因子的L准则 ,对具有解析结果的波场变换方程进行了数值求解。
2) Phillips-Tikhonov regularization
Phillips-Tikhonov正则化
3) simplified Tikhonov's regularization
简化的Tikhonov正则化
4) Tikhonov regularization method
Tikhonov正则化方法
1.
Aiming at mathematical-physical problems,the improved GA and Tikhonov regularization methods were used to simulate and identify the operator of the function.
以数学物理方程为研究对象,采用改进的遗传算法与Tikhonov正则化方法,对方程的算子进行模拟与识别,分别用余弦函数与帽子函数对其进行拟合。
2.
The authors use Tikhonov regularization method to solve it.
对该不适定问题,文中用Tikhonov正则化方法构造正则化解,并证明了所得正则化解稳定地收敛于精确解。
5) iterative Tikhonov regularization
迭代Tikhonov正则化
1.
The iterative Tikhonov regularization method was studied to solve 2D acoustic travel time tomography.
针对反问题求解常遇到不适定的困难,采用奇异值分析的方法探讨了层析成像反演方程的不适定特征,研究了利用迭代Tikhonov正则化方法求解二维走时层析成像问题。
6) modified Tikhonov regularization
改进的Tikhonov正则化
1.
Applying suitable regularizing filters, a modified Tikhonov regularization method is established,and the asymptotic convergence rate of the regularized solution is obtained by choosing regularization parameters appropriately.
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 。
2.
A modified Tikhonov regularization is applied to solve a Symm’s integral equation with perturbed operators and noisy data, and some numeircal analyses are presented.
应用一种改进的Tikhonov正则化,探讨了算子与右端数据都有扰动情形下Symm积分方程的数值求解。
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