Exponentially-fitted explicit Runge–Kutta methods

An exponentially-fitted explicit Runge–Kutta method is constructed, which exactly integrates differential initial-value problems whose solutions are linear combinations of functions of the form exp(ωx) and exp(−ωx) (ω∈R or iR); this method is compared to a previously constructed method of Simos. Numerical experiments show the efficiency of the new method.