Comptes Rendus Mathematique 

TL;DR: Candes et al. as discussed by the authors established new results about the accuracy of the reconstruction from undersampled measurements, which improved on earlier estimates, and have the advantage of being more elegant. But they did not consider the restricted isometry property of the sensing matrix.

TL;DR: Barrault et al. as discussed by the authors presented an efficient reduced-basis discretization procedure for partial differential equations with nonaffine parameter dependence, replacing non-affine coefficient functions with a collateral reducedbasis expansion, which then permits an affine offline-online computational decomposition.

TL;DR: Lasry et al. as mentioned in this paper introduce an approche generale for modeliser des jeux avec un tres grand nombre of joueurs, and consider des equilibres de Nash a N joues for des problemes stochastiques en temps long and deduisons rigoureusement les equations de type « champ moyen » quand N tend vers l'infini.

TL;DR: Lasry et al. as mentioned in this paper considered the case of Nash equilibria for stochastic control type problems in finite horizon and presented general existence and uniqueness results for the partial differential equations systems that they introduced.

TL;DR: Although this method is not specifically designed for topology optimization, it can easily handle topology changes for a very large class of objective functions and its cost is moderate since the shape is captured on a fixed Eulerian mesh.