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

We present a collection of stability results for finite difference approximations to the advection-diffusion equation ut = aux + buxx. The results are for centered difference schemes in space and ...

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 ...

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 ...