Grid staggering for wave equations is a validated approach for many applications, as it generally enhances stability and accuracy. This paper is about time staggering. Our aim is to assess a fourth-order, explicit, time-staggered integration method from the literature, through a comparison with two alternative fourth-order, explicit methods. These are the classical Runge-Kutta method and a symmetric-composition method derived from symplectic Euler.
Wave equations, explicit time integration, staggered time integration, composite time integration
Ordinary Differential Equations (acm G.1.7), Partial Differential Equations (acm G.1.8)
Multistep, Runge-Kutta and extrapolation methods (msc 65L06), Stability and convergence of numerical methods (msc 65M12), Method of lines (msc 65M20)
Springer
Journal of Scientific Computing
Computational Dynamics

Verwer, J.G. (2007). On time staggering for wave equations. Journal of Scientific Computing, 33(2), 139–154.