CNAFS

AcronymDefinition
CNAFSCrank-Nicolson Approximate Factorization Splitting (electromagnetics)
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Particularly, the Crank-Nicolson-Douglas-Gunn (CNDG) method as two-dimensional (2-D) [28], the Crank-Nicolson cycle-sweep (CNCS) method in 2-D [29] and as in 3-D [30], and the Crank-Nicolson approximate-factorization-splitting (CNAFS) method in 3-D [31] have small anisotropy, and the Crank-Nicolson direct-splitting (CNDS) method in 3-D [32].
ADI- LOD- SS2- SS4- Method FDTD FDTD FDTD FDTD FDTD [21] [51] [38] [44] Number of tri-diagonal matrices 0 6 6 9 12 Implicit M/D 0 18 18 27 36 A/S 0 48 24 36 48 Explicit M/D 21 12 6 9 12 A/S 12 24 24 36 48 Total M/D 21 30 24 36 48 A/S 12 72 48 72 96 M/D + A/S 33 102 72 108 144 For-loops 6 12 12 18 24 SS6- CNDS CNAFS E- Method FDTD -FDTD -FDTD SSCN6 [45] [32] [31] -FDTD Number of tri-diagonal matrices 18 6 9 6 Implicit M/D 54 21 15 18 A/S 72 66 45 24 Explicit M/D 18 6 6 6 A/S 72 24 24 24 Total M/D 72 27 21 24 A/S 144 90 69 48 M/D + A/S 216 117 90 72 For-loops 36 10 12 12 Table 2.