[1] An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation. Journal of Computational and Applied Mathematics (2022).

A correction for truncation errors associated with implicit finite difference method (FDM) of the groundwater transport equation with reaction term, which is generally used in groundwater transport ...

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.