| Автор | COOPER, G. J. |
| Дата выпуска | 1992 |
| dc.description | Two slightly different test problems have been used to examine nonlinear stability behaviour of numerical methods for solving systems of ordinary differential equations. These test problems, for BN-stability and for monotonicity, both lead to the concept of algebraic stability. In this paper, it is shown that these two problems may be combined to yield weaker stability conditions. Nonautonomous systems give a more restrictive stability condition than autonomous systems. Irreducible methods with some zero quadrature weights can be stable in this weak sense. |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | © Oxford University Press |
| Тема | Articles |
| Название | Weak Nonlinear Stability of Implicit Runge-Kutta Methods |
| Тип | research-article |
| Electronic ISSN | 1464-3642 |
| Print ISSN | 0272-4979 |
| Журнал | IMA Journal of Numerical Analysis |
| Том | 12 |
| Первая страница | 57 |
| Последняя страница | 65 |
| Аффилиация | School of Mathematical and Physical Sciences, The University of SussexBrighton BN1 9QH, UK |
| Выпуск | 1 |
