Explicit Runge-Kutta methods for the numerical solution of initial value problems
- Charalampos Tsitouras email@example.com
Explicit Runge-Kutta pairs are the most popular methods for integrating non-stiff initial value problems. Basic theory concerning its occuracy, stability and other properties is presented here as long as with implementation issues. Finally a new pair of orders 5(4) suitable for oscillatory problems is presented and tested.