Differential-difference equation: An equation that combines differential operators with difference operators, often used to model systems exhibiting both continuous change and discrete shifts.

While there has been an explosion of theoretical advances in partial differential equation models in the past two decades, this work has been generally neglected in mathematical ecology textbooks. Our ...

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 ...