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Inverse, ill-posed problems, essentially different solutions and explicit formulas for solutionsстатья
Информация о цитировании статьи получена из
Scopus
Дата последнего поиска статьи во внешних источниках: 20 апреля 2022 г.
- Автор: Demidov A.S.
- Сборник: Eleventh International Scientific Conference and Young Scientist School "Theory and Computational Methods for Inverse and Ill-posed Problems" 26 August – 4 September 2019, Novosibirsk, Russia
- Серия: 012016
- Том: 2092
- Глава в коллективной монографии
- Год издания: 2021
- Место издания: Published under licence by IOP Publishing Ltd Journal of Physics: Conference Series
- Первая страница: 1
- Последняя страница: 72
- DOI: 10.1088/1742-6596/2092/1/012016
- Аннотация: A request for an inverse problem, as well as for an incorrect problem produces tens of millions of answers in the Internet. In the past few decades, hundreds of international conferences on these topics have been held annually. Problems of this kind are quite involved, and their numerical analysis requires the development of special methods and numerical algorithms. Explicit formulas provide the main tool for testing these methods and numerical algorithms. The Cauchy problem for an elliptic equation is a classical ill-posed problem, which serves as a model for many inverse and incorrect problems. In the present paper we give a numerically realizable explicit formula for solving the Cauchy problem in a two-dimensional domain for a general second-order linear elliptic equation with analytic coefficients and the Cauchy analytic data on the analytic boundary.
- Добавил в систему: Демидов Александр Сергеевич