SIAM Journal on Numerical Analysis, Vol. 37, No. 1 (Nov. - Dec., 1999), pp. 105-130 (26 pages) The simplest finite difference approximations for spatial derivatives are centered, explicit, and applied ...

Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...

Developed a CUDA version of the FDTD method and achieved a speedup 40x. Implemented on a NVIDIA Quadro FX 3800 GPU, which has 192 SPs, 1GB global memory, and a memory bandwidth of 51.2 GB/s.