带Tikhonov正则化的第一类Fredholm方程网格法的收敛性

Discrete and Continuous Models and Applied Computational Science Pub Date : 2023-01-01 DOI:10.22363/2658-4670-2023-31-2-120-127

A. Belov

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引用次数: 0

摘要

本文描述了用a . N. Tikhonov正则化器求解第一类Fredholm方程不适定问题的网格方法。构造并证明了该方法的收敛性定理。提出了一种增厚网格同时增加数字计算容量的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Convergence of the grid method for the Fredholm equation of the first kind with Tikhonov regularization

The paper describes a grid method for solving an ill-posed problem for the Fredholm equation of the first kind using the A. N. Tikhonov regularizer. The convergence theorem for this method was formulated and proved. A procedure for thickening grids with a simultaneous increase in digit capacity of calculations is proposed.

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来源期刊

Discrete and Continuous Models and Applied Computational Science

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

10 weeks