Regularized modified α-processes for nonlinear equations with monotone operators
- 作者: Vasin V.1,2
-
隶属关系:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- 期: 卷 94, 编号 1 (2016)
- 页面: 361-364
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223946
- DOI: https://doi.org/10.1134/S1064562416040062
- ID: 223946
如何引用文章
详细
For a stable approximation of the solution to a nonlinear irregular equation with a monotone operator, a two-step method based on Lavrent’ev scheme and nonlinear regularized α-processes is constructed. These processes are shown to have a linear convergence rate when used to approximate the solution of a regularized equation. The error of the regularized solution is estimated, and the two-step method is shown to be order optimal in the well-posedness class of sourcewise representable solutions.
作者简介
V. Vasin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
编辑信件的主要联系方式.
Email: vasin@imm.uran.ru
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Lenina 51, Yekaterinburg, 620000