A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
Explicit Runge-Kutta methods (RKMs) are among the most popular classes of formulas for the approximate numerical integration of nonstiff, initial value problems. However, high-order Runge-Kutta methods require more function evaluations per integration step than, for example, Adams methods used in PECE mode, and so, with RKMs, it is expecially important …