The paper “Dynamic interactions and equilibrium configurations of pulses in the two-dimensional complex quintic Ginzburg-Landau equation” co-authored by Matt Turner and David Lloyd has been accepted for publication in the SIAM Journal on Applied Dynamical Systems. This paper presents a novel numerical approach which allows for the accurate numerical calculation of  multi-pulse interaction in the complex Ginzburg-Landau equation in two space dimensions. The scheme extends the work of the same authors to higher spatial dimensions, in particular presenting results in 2D. The scheme uses a global centre-manifold reduction by considering the solution to be the sum of the individual pulses plus a remainder term. This approach  reduces the scheme to a set of slow ODEs for the position and phase of the pulses, and a fast PDE for the remainder function, which is of the same order as the spatial order o f the problem. This is then the limiting complication in higher dimensions, as this PDE needs to be solved accurately and quickly. Results are presented for multiple pulse interactions, in particular looking for stable equilibrum states of the system, as well as interesting transient behaviours. The author final copy of the paper can be found here or on the arxiv. The screenshot below is a figure from the paper.