Abstract
Runge-Kutta-like formulas which enable a multmtep method to start or restart at a high order after lust one Runge-Kutta (RK) step are presented. These formulas greatly improve the efficiency of mnltistep methods in a situation m which they were previously out performed by RK methodsi e., m which there are problems with frequent dlscontinmties or sudden large increases in derivatives, all of which cause an automatic program to reduce order and step size suddenly.
Original language | English (US) |
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Pages (from-to) | 263-279 |
Number of pages | 17 |
Journal | ACM Transactions on Mathematical Software (TOMS) |
Volume | 6 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1 1980 |
All Science Journal Classification (ASJC) codes
- Software
- Applied Mathematics
Keywords
- Runge-Kutta
- integration
- mnltistep
- ordinary dfferential equations