On Time Staggering for Wave Equations

Abstract:
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.

Keywords:
Wave equations · Explicit time integration · Staggered time integration · Composite time integration