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 constructiПоказать полностьюon of stability domains of Adams–Bashforth methods of order 3–11 are given. © 2022, Pleiades Publishing, Ltd.

Журнал: Numerical Analysis and Applications

Выпуск журнала: Vol. 15, Is. 4

Номера страниц: 343-352

ISSN журнала: 19954239

Издатель: Pleiades Publishing

• 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)

• Scopus