Abstract
We describe the construction of explicit two-step Runge-Kutta methods of order p and stage order q=p-1 or q=p with large regions of absolute stability. This process is illustrated for the methods of order p=2, and 3 and leads to new methods which are competitive with explicit Runge-Kutta methods of the same order.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 125-137 |
| Number of pages | 13 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 157 |
| Issue number | 1 |
| DOIs | |
| State | Published - Aug 1 2003 |
Keywords
- Implementation aspects
- Minimization
- Region of absolute stability
- Two-step Runge-Kutta methods
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics