Application of explicit methods with extended stability regions for solving stiff problems


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.

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Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 9, Is. 2

Номера страниц: 209-219


  • Novikov Eugeny A. (Inst Computat Modeling SB RAS, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)
  • Rybkov Mikhail V. (Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia)

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