Explicit Hybrid Time Domain Solver for the Maxwell Equations in 3D
Journal of Scientific Computing
Comparison of Taylor finite difference and window finite difference and their application in FDTD
Journal of Computational and Applied Mathematics
On Time Staggering for Wave Equations
Journal of Scientific Computing
Stability and convergence of staggered Runge-Kutta schemes for semilinear wave equations
Journal of Computational and Applied Mathematics
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
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We consider variations of the Adams--Bashforth, backward differentiation, and Runge--Kutta families of time integrators to solve systems of linear wave equations on uniform, time-staggered grids. These methods are found to have smaller local truncation errors and to allow larger stable time steps than traditional nonstaggered versions of equivalent orders. We investigate the accuracy and stability of these methods analytically, experimentally, and through the use of a novel root portrait technique.