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