It is shown that the method can achieve an optimal value of the parameter in the whole range, and therefore provides an efficient way for obtaining an optimal regularization solution.
并对一桁架的荷载分布进行了重构，结果表明，这一方法是寻求最优正则解的一条有效途经。
The aim of this thesis is to study the Regularization Method for stable solution of two inverse heat conduction problems and study their numerical implements.
本文旨在研究获得两个逆热传导问题稳定解的正则化方法及其数值实现问题。
A new framework of mollification methods based on L-generalized solution regularization methods was proposed.
基于L -广义解正则化理论，提出了一个新的磨光方法的框架。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
我们将利用正则化方法和上下解技巧给出局部古典解和整体古典解的存在唯一性。
The mathematical solution for ill-posed problems is regularization. The computational foundation for deformable models is just regularization.
数学上解决病态问题的方法是正则化，可形变模型的计算基础即是正则化。
To obtain a stable solution, in our method, successive approximation process is constrained by prior histogram and laplacian regularization.
为了获得稳定而满意的解，我们采用直方图约束下的正则化方法对连续近似迭代进行约束。
Finally, by the method of energy estimation, a long time behavior of the solution of regularization is studied.
最后，应用能量估计方法，研究了正则化解的长时间行为。
In the end, the genetic algorithms which has better precision and efficiency is adopted for finding the optimal regularization parameter based on the solution rule of regularization parameter.
最后根据正则化参数的确定原则，采用精度高和适应性更好的遗传算法确定最优正则化参数。
Thestability of the solution is improved by the Tiknonov's regularization method.
通过引入正则化方法来改善解的稳定性。
By apriori choosing regularization parameter, optimal convergence order of the regularized solution is obtained.
通过适当选取正则参数，证明了正则解具有最优的渐近收敛阶。
In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.
本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。
Image super-resolution restoration and enhancement (SR) based on reconstruction is a typically ill-posed and high-dimensional problem, which needs effective regularization to stable the solution.
基于重建的超分辨率（SR）方法中，图像求解是典型的高维病态问题，需借助有效的正则来稳定求解。
So the mathematical regularization methods were proposed to solve this problem, which made use of regularization parameter to achieve a balance between the noise and the true solution.
为解决这一问题，数学上提出了利用正则化参数在真值和噪声之间寻求平衡的正则化求解思想。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.
运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.
运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
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