Jb. Cole, A HIGH-ACCURACY REALIZATION OF THE YEE ALGORITHM USING NONSTANDARD FINITE-DIFFERENCES, IEEE transactions on microwave theory and techniques, 45(6), 1997, pp. 991-996
New nonstandard second-order finite differences (FD's) are introduced,
which when substituted into the Yee algorithm, reduce the solution er
ror by a factor of 10(-4) on a coarse computational grid, Using lambda
/h (grid spacings per wavelength) = 8, one achieves the same accuracy
as the standard Yee algorithm does at lambda/h = 1140, In addition, gr
eater algorithmic stability allows a reduction in the number of iterat
ions needed to solve a problem.