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 ...

The analysis of the finite difference schemes with nonuniform meshes for the problems of partial differential equations is extremely rare even for very simple problems and even for the method of fully ...

Christel Hamann’s difference engine was a type of mechanical calculator made in the 1900s. It was automatic and could help people calculate and arrange polynomial functions used in science, ...