Regularized modified alpha-processes for nonlinear equations with monotone operators / Vasin V. V. // DOKLADY MATHEMATICS. - 2016. - V. 94, l. 1. - P. 361-364.

ISSN/EISSN:

1064-5624 / 1531-8362

Type:

Article

Abstract:

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 alpha-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.

Author keywords:

нет данных

DOI:

10.1134/S1064562416040062

Web of Science ID:

ISI:000382860900002

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8362
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
Author-Email	vasin@imm.uran.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}15-01-00629]; Ural Branch of the Russian Academy of Sciences {[}15-7-1-3]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 15-01-00629) and by the Ural Branch of the Russian Academy of Sciences (project no. 15-7-1-3).
Number-of-Cited-References	6
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	3
Journal-ISO	Dokl. Math.
Doc-Delivery-Number	DV3YE