A split step approach for the 3-D Maxwell's equations

By Jongwoo Lee, Bengt Fornberg. 2003

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Local spectral time splitting method for first- and second-order partial differential equations (2005, methodology): “The FPTS has found its success in solving the complex Ginzburg–Landau equation [23], the Schrödinger equation [21,24,25], the Korteweg–de Vries (KdV) equation [26–28] and three-dimensional (3D) Maxwell s equations [29].”
Development of the Three-Dimensional Unconditionally Stable LOD-FDTD Method (2008, methodology): “It has also been observed that the LOD-FDTD method in [9] can be made equivalent to the split-step approach SS1 [11].”
Unconditionally Stable LOD–FDTD Method for 3-D Maxwell's Equations (2007, methodology): “It can be found that the LOD–FDTD methods presented in [6], [7] for two dimensions correspond to the split-step approach of [4] denoted by SS1.”
Explicit Time-Domain Finite-Element Method Stabilized for an Arbitrarily Large Time Step (2012, methodology): “Since the largest eigenvalue of that is supported by a numerical system is inversely proportional to the smallest space resolution, like the CFL condition in explicit FDTD-based methods [22], (4) also dictates that the time step for a stable simulation is dependent on the smallest space step.”
Spectral and High-Order Methods with Applications (2006, unknown): “[172], [99]) for (1.”