Сходимость сеточного метода для уравнения Фредгольма первого рода с регуляризацией по Тихонову

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В статье описан сеточный метод решения некорректной задачи для уравнения Фредгольма первого рода с использованием регуляризатора А. Н. Тихонова. Сформулирована и доказана теорема о сходимости этого метода. Для её практической реализации предложена процедура сгущения сеток с одновременным увеличением разрядности вычислений.

Об авторах

А. А. Белов

Московский государственный университет им. М. В. Ломоносова; Российский университет дружбы народов

Автор, ответственный за переписку.
Email: aa.belov@physics.msu.ru
ORCID iD: 0000-0002-0918-9263
Scopus Author ID: 57191950560
ResearcherId: Q-5064-2016

Candidate of Physical and Mathematical Sciences, Researcher of Faculty of Physics, M. V. Lomonosov Moscow State University; Assistant Professor of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia

Ленинские горы, д. 1, стр. 2, Москва, 119991, Россия; ул. Миклухо-Маклая, д. 6, Москва, 117198, Россия

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© Белов А.А., 2023

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