On a Global Error Estimate in Long-Term Numerical Integration of Ordinary Differential Equations Научная публикация
| Журнал |
Selcuk Journal of Applied Mathematics
ISSN: 1302-7980 |
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| Вых. Данные | Год: 2001, Том: 2, Номер: 1, Страницы: 27-46 Страниц : 20 | ||||
| Ключевые слова | numerical solution of ODEs; Runge-Kutta methods; global error; chemical kinetic model | ||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | International Association for the Promotion of Co-operation with Scientists from the New Independent States of the Former Soviet Union | 99-01882 |
Реферат:
We describe an effective computational procedure of obtaining estimate for the global error in the long-term numerical integration with one-step embedded explicit Runge-Kutta methods applied to an ODE system. The paper relies on the existence of an asymptotic expansion for the global error. An example is given using a particular ODE system modeling the behavior of a heterogeneous catalytic reaction with complex dynamics.
Библиографическая ссылка:
Chumakov G.A.
, Chumakova N.A.
On a Global Error Estimate in Long-Term Numerical Integration of Ordinary Differential Equations
Selcuk Journal of Applied Mathematics. 2001. V.2. N1. P.27-46. РИНЦ
On a Global Error Estimate in Long-Term Numerical Integration of Ordinary Differential Equations
Selcuk Journal of Applied Mathematics. 2001. V.2. N1. P.27-46. РИНЦ
Даты:
| Поступила в редакцию: | 6 мар. 2001 г. |
Идентификаторы БД:
| РИНЦ: | 21072835 |
Цитирование в БД:
| БД | Цитирований |
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| РИНЦ | 4 |