From the 1 of 5.5k papers with an AI index.
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18 papers · 2 filters
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
Xavier Antoine, Qinglin Tang, Yong Zhang
In this paper, we propose some efficient and robust numerical methods to compute the ground states and dynamics of Fractional Schrödinger Equation (FSE) with a rotation term and no…
On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients
Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Lucas Chesnel +1
We investigate in a D setting the scattering of time-harmonic electromagnetic waves by a plasmonic device, represented as a non dissipative bounded and penetrable obstacle with…
Some variance reduction methods for numerical stochastic homogenization
Xavier Blanc, Claude Le Bris, Frederic Legoll
We overview a series of recent works devoted to variance reduction techniques for numerical stochastic homogenization. Numerical homogenization requires solving a set of problems a…
Special Quasirandom Structures: a selection approach for stochastic homogenization
Claude Le Bris, Frederic Legoll, William Minvielle
We adapt and study a variance reduction approach for the homogenization of elliptic equations in divergence form. The approach, borrowed from atomistic simulations and solid-state…
Asymptotic Preserving numerical schemes for multiscale parabolic problems
Nicolas Crouseilles, Mohammed Lemou, Gilles Vilmart
We consider a class of multiscale parabolic problems with diffusion coefficients oscillating in space at a possibly small scale . Numerical homogenization methods are…
Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures
Stéphane Descombes, Max Duarte, Thierry Dumont +3
A new solver featuring time-space adaptation and error control has been recently introduced to tackle the numerical solution of stiff reaction-diffusion systems. Based on operator…