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

Novikov Eugeny A.; Rybkov Mikhail V.

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База данных: Каталог библиотеки СФУ

Библиографическое описание: Application of explicit methods with extended stability regions for solving stiff problems / E. A. Novikov, M. V. Rybkov // J. Sib. Fed. Univ. Math. Phys. - 2016. - Vol. 9, Is. 2. - P. 209-219. - Cited Reference Count: 14. - Гранты: This work is partially supported by Russian Foundation of Basic Research (grant 14-01-00047). - Финансирующая организация: Russian Foundation of Basic Research [14-01-00047]. - ISSN 1997-1397, DOI 10.17516/1997-1397-2016-9-2-209-219.

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 stiff problems 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.

Год издания: 2016

Авторы: Novikov Eugeny A. , Rybkov Mikhail V.

Источник: Journal of Siberian Federal University - Mathematics and Physics

Выпуск: Vol. 9, Is. 2

Номера страниц: 209-219

Держатель оригинала документа: Institute of Computational Modeling SB RAS, Akademgorodok, 50/44, Krasnoyarsk, Russian Federation, Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, Russian Federation

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