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19982026
most citedComputational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

398 citations

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math.OC2024★ 2 cited

Volume-preserving geometric shape optimization of the Dirichlet energy using variational neural networks

Amaury Bélières--Frendo, Emmanuel Franck, Victor Michel-Dansac +1

In this work, we explore the numerical solution of geometric shape optimization problems using neural network-based approaches. This involves minimizing a numerical criterion that…

math.OC2024★ 1 cited

Dynamic programming for the stochastic matching model on general graphs: the case of the `N-graph'

Loïc Jean, Pascal Moyal

In this paper, we address the optimal control of stochastic matching models on general graphs and single arrivals having fixed arrival rates, as introduced in \cite{MaiMoy16}. On t…