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Solving Stiff Systems of ODEs by Explicit Methods with Conformed Stability Domains
Автор | Novikov, A. E. | |
Автор | Rybkov, M. V. | |
Автор | Shornikov, Yu. V. | |
Автор | Knaub, L. V. | |
Дата внесения | 2020-01-20T08:00:54Z | |
Дата, когда ресурс стал доступен | 2020-01-20T08:00:54Z | |
Дата публикации | 2018-12 | |
Библиографическое описание | Novikov, A. E. Solving Stiff Systems of ODEs by Explicit Methods with Conformed Stability Domains [Текст] / A. E. Novikov, M. V. Rybkov, Yu. V. Shornikov, L. V. Knaub // Linköping Electronic Conference Proceedings. — 2018. — С. 973−978 | |
URI (для ссылок/цитирований) | http://www.ep.liu.se/ecp/142/143/ecp17142143.pdf | |
URI (для ссылок/цитирований) | https://elib.sfu-kras.ru/handle/2311/129503 | |
Аннотация | The Cauchy problem for a stiff system of ODEs is considered. The explicit m-stage first order methods of the Runge-Kutta type are designed with stability domains of intermediate numerical schemes conformed with the stability domain of the basic scheme. Inequalities for accuracy and stability control are obtained. A numerical algorithm based on the first-order method and the five-stage fourth order Merson method is developed. The algorithm is aimed at solving large-scale systems of ODEs of moderate stiffness with low accuracy. It has been included in the library of solvers of the ISMA simulation environment. Numerical results showing growth of the efficiency are given. | |
Тема | Runge-Kutta methods | |
Тема | accuracy and stability control | |
Тема | conformed stability domains | |
Тема | stiff problems | |
Название | Solving Stiff Systems of ODEs by Explicit Methods with Conformed Stability Domains | |
Тип | Journal Article | |
Тип | Journal Article Preprint | |
Страницы | 973−978 | |
ГРНТИ | 27.29 | |
Дата обновления | 2020-01-20T08:00:54Z | |
DOI | 10.3384/ecp17142973 | |
Институт | Институт математики и фундаментальной информатики | |
Подразделение | Кафедра математического обеспечения дискретных устройств и систем | |
Журнал | Linköping Electronic Conference Proceedings |