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

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 ...

This paper is concerned with numerical methods for a class of two-dimensional quasilinear elliptic boundary value problems. A compact finite difference method with a nonisotropic mesh is proposed for ...

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 ...