Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the simulation of electromagnetic phenomena, enabling researchers to solve Maxwell’s equations through discretisation in ...

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 ...

An implicit finite difference discretization is performed on time-dependent non-uniform grids. During time stepping, solutions are interpolated from one grid to another, using Lagrange interpolations.

Explore the methodologies of the finite element method (FEM), finite difference method (FDM) and finite volume method (FVM) to grasp their computational intricacies and application-specific ...