Abstract
It is shown that any A-stable two-step Runge-Kutta method of order over(p, ̃) and stage order q = over(p, ̃) for ordinary differential equations can be extended to the P-stable method of uniform order p = over(p, ̃) for delay differential equations.
Original language | English (US) |
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Pages (from-to) | 257-270 |
Number of pages | 14 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 220 |
Issue number | 1-2 |
DOIs | |
State | Published - Oct 15 2008 |
Keywords
- A-stability
- Delay differential equations
- P-stability
- Two-step Runge-Kutta methods
- Uniform convergence
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics