Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2010

Идентификатор DOI: 10.1134/S2070048210040046

Аннотация: An L-stable (2, l)-method and an explicit two-stage Runge-Kutta type scheme are constructed, both schemes of order two. A numerical formula of order one is developed, which is based on the stages of the explicit method and its stability interval is extended to 8. An integration algorithm of variable order and step is constructed that is based on the stages of the three schemes. The most effective numerical scheme is chosen for each step by means of the inequality of stability control. The results are given that confirm the effectiveness of the algorithm. © 2010, Pleiades Publishing, Ltd.

Журнал: Mathematical Models and Computer Simulations

Выпуск журнала: Vol. 2, Is. 4

Номера страниц: 443-452

• Novikov A.E. (Siberian Federal University)
• Novikov E.A. (Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences)

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