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), Finite difference methods (msc 65M06), Stability and convergence of numerical methods (msc 65M12), Method of lines (msc 65M20)
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Verwer, J.G. (2007). On time staggering for wave equations. Modelling, Analysis and Simulation [MAS]. CWI.