Тип публикации: статья из журнала
Год издания: 2016
Идентификатор DOI: 10.17516/1997-1397-2016-9-2-209-219
Ключевые слова: Accuracy and stability control, Explicit methods, Stability region, Stiff problem
Аннотация: An algorithm is developed to determine coefficients of the stability polynomials such that the explicit Runge-Kutta methods have a predetermined shape and size of the stability region. Inequalities for accuracy and stability control are obtained. The impact of the stability control on efficiency of explicit methods to solving stiffПоказать полностьюproblems is shown. Numerical calculations confirm that the three-step method of the first order with extended stability region is more efficient than the traditional three-stage method of the third order. © Siberian Federal University. All rights reserved.
Журнал: Journal of Siberian Federal University - Mathematics and Physics
Выпуск журнала: Vol. 9, Is. 2
Номера страниц: 209-219