Тип публикации: статья из журнала
Год издания: 2022
Идентификатор DOI: 10.1134/S1995423922040073
Ключевые слова: adams–bashforth method, bernoulli method, dandelin–lobachevsky–gräffe method, locus, stability domain
Аннотация: Abstract: A new algorithm is proposed for obtaining stability domains of multistep numerical schemes. The algorithm is based on the Bernoulli method for computing the greatest in magnitude root of polynomials with complex coefficients and the Dandelin–Lobachevsky–Gräffe method for squaring roots. Numerical results on the construction of stability domains of Adams–Bashforth methods of order 3–11 are given. © 2022, Pleiades Publishing, Ltd.
Издание
Журнал: Numerical Analysis and Applications
Выпуск журнала: Vol. 15, Is. 4
Номера страниц: 343-352
ISSN журнала: 19954239
Издатель: Pleiades Publishing
Персоны
- Kireev I.V. (Institute of Computational Modeling SB RAS, 50/44, Krasnoyarsk, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation, Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Krasnoyarsk, Russian Federation)
- Novikov A.E. (Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Krasnoyarsk, Russian Federation)
- Novikov E.A. (Institute of Computational Modeling SB RAS, 50/44, Krasnoyarsk, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russian Federation, Institute of Mathematics and Fundamental Informatics, Siberian Federal University, Krasnoyarsk, Russian Federation)
Вхождение в базы данных
Информация о публикациях загружается с сайта службы поддержки публикационной активности СФУ. Сообщите, если заметили неточности.