On the existence of solutions to the algebraic equations in implicit runge-kutta methods
| Autor: | Crouzeix, M., Hundsdorfer, W. H., Spijker, M. N. |
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| Zdroj: | BIT Numerical Mathematics; March 1983, Vol. 23 Issue: 1 p84-91, 8p |
| Abstrakt: | This paper deals with the systems of algebraic equations arising in the application ofB-stable Runge-Kutta methods. It is shown that under natural assumptions such systems do not always have a solution. In addition, general sufficient conditions are presented under which such systems do have unique solutions. |
| Databáze: | Supplemental Index |
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