Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the numerical solution of Maxwell’s equations, enabling detailed electromagnetic analysis across a wide range of applications.

We analyze finite difference methods for the Gross-Pitaevskii equation with an angular momentum rotation term in two and three dimensions and obtain the optimal convergence rate, for the conservative ...

SIAM Journal on Numerical Analysis, Vol. 37, No. 3 (Feb. - Mar., 2000), pp. 827-862 (36 pages) Many boundary value problems (BVPs) or initial BVPs have nonsmooth solutions, with jumps along ...

The band gap for 2D PhC with different modes and different lattice structures using FDTD has been computed. Three PBGs between the first and the second bands, between the second and the third bands ...