Racine carrée d'une fonction différentiable

Sophie Racine

The first [4+2]-annulation between aminocyclobutanes and aldehydes to access tetrahydropyranyl amines is reported. With phthalimido cyclobutane dicarboxylates and aromatic aldehydes, tetrahydropyrans were obtained in 53-92% yield and 3:117:1 dr using scandium triflate or iron trichloride as catalyst. The use of thymineor fluorouracilsubstituted cyclobutanes gave direct access to six-membered ri...

Extending DUNE: The dune-xt modules

We present our effort to extend and complement the core modules of the Distributed and Unified Numerics Environment DUNE (http://dune-project.org) by a well tested and structured collection of utilities and concepts. We describe key elements of our four modules dune-xt-common, dune-xt-grid, dune-xt-la and dune-xt-functions, which aim at further enabling the programming of generic algorithms wit...

Minimisation d'une fonction quasi-convexe aléatoire : applications

Modelling a Dune Field

We present a model to describe the collective motion of barchan dunes in a field. Our model is able to reproduce the observation that a typical dune stays confined within a stripe. We also obtain some of the pattern structures which ressemble those observed from aerial photos which we do analyse and compare with the specific field of Laâyounne.

The DUNE-ALUGrid Module

In this paper we present the new Dune-ALUGridmodule. This module contains a major overhaul of the sources from the ALUGrid library and the binding to the Dune software framework. The main improvements concern the parallel feature set of the library, including now user defined load balancing and parallel grid construction. In addition many improvements have been introduced into the code to incre...