A new minimum storage Runge–Kutta scheme for computational acoustics

A new fourth-order six-stage Runge–Kutta numerical integrator that requires 2N-storage (N is the number of degrees of freedom of the system) with low dissipation and dispersion and a relatively large stability interval is proposed. These features make it a suitable time advancing method for solving wave propagation problems in Computational Acoustics. Some numerical experiments are presented to show the favourable behaviour of the new scheme as compared with the LDD46 and LDD25 methods proposed by Stanescu and Habashi [J. Comput. Phys. 143 (1998) 674] and the standard fourth order Runge–Kutta method.